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Palindromic Numbers
beyond base 10 Page 1
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rood Various Palindromic Sums


Introduction

Palindromic numbers are numbers which read the same from
 p_right left to right (forwards) as from the right to left (backwards) p_left
Here are a few random examples : 7, 3113, 44611644

  1. Go directly to the Base 2 to Base 60 Tables topic
  2. Go directly to the Base 2 Messages topic

led Palindromic in Base 10 and Bases 2 to 60 led Tables led

Index Nr

Also palindromic
in base 2 (binary)
A007632

L base 10

L base 2

Next > 10^64
213922566167460067149211941305703011030750314911294176006476166522964213
21298882646513129366807434863453451543543684347086639213156462888963210
21196334094254657180356632598096655566908952366530817564524904336963210
21072194586154108083194405933175774775713395044913808014516854912763209
20970373372755468396209575284846459546484825759026938645572733730763209
20852369842889641154896874170985778775890714786984511469882489632563209
20734822977973037055260813551969915199691553180625507303797792284363208
20632911965112199657134479445961373731695449744317569912115691192363208
20514987863742880780760991290745533355470921990670870882473687894163207
2049708420715303462453418275726464464627572814354264303517024807962206
2033117942505255293536831799018803308810997138635392552505249711362205
2021193769810743729534920306598716617895603029435927347018967391162203
201945366505164782812590844927381118372944809521828746150566354961203
200577089837237872127641973705337473350737914672127873273898077561202
199517374401682622520163577518693039681577536102522628610447371561202
198155918950844097384808740300486068400304780848379044805981955161200
19730675857460402740140679508111991118059760410472040647585760360198
1963754814453293417054470185413828314581074450714392354418457359195
1953731493987829726245100165036191630561001542627928789394137359195
1941668466451320075575103133234959432331301575570023154664866159194
1931624869941644096578646660364434463066646875690446149968426159194
1921486511074360306001703336645939546633307100603063470115684159194
1911297559739428852480976772484797484277679084258824937955792159194
190952654299248175128398145120911902154189382157184299245625958193
189169856120246425088139973618322381637993188052464202165896158191
188131948696610734654323514259066095241532345643701669684913158190
18756556610309499034476540585107015850456744309949030166556557189
18650234004542430039013381348657568431833109300342454004320557189
18517299836189129950858083363157513633808580599219816389927157187
18417126565219275769582329549647469459232859675729125656217157187
183979425852908831095625676590509567652659013880925852497955183
182799251573930069268158338863736883385186296003937515299755183
181598210776723015738823401141914110432883751032767701289555182
180575035268085563259767904058185040976795236558086253057555182
179550013092995264202596149939893994169520246259929031005555182
178537581057012832667042637846564873624076623821075018573555182
177161025037223750639457245622122654275493605732273052016155181
17614160832214049981955813008998003185591899404122380614154177
1759826956806162649079044347191743440970946261608659628953177
1749697433365879869818660045959540066818968978563334796953177
1737410719367998947635063219252912360536749899763917014753176
1723804268201513874247643066282660346742478315102862408353175
1711429080026130929795016072060270610597929031620080924153174
1701158340850135409607322742919247223706904531058043851153173
169332945697934480307232137733773123270308443979654923352172
168189450091914974118478389466498387481147941919005498152171
167167137655962276538005013311331050083567226955673176152171
16654659055038816956906625534355266096596188305509564551169
16554488990162542241782586209026852871422452610998844551169
16434975509525139048267223441443227628409315259055794351168
16330871451329049281732721651561272371829409231541780351168
16212842679910779731236509099909056321379770199762482151167
161914268730651877446829025852092864477815603786241949163
160710924297050261064911517871511946016205079242901749163
159187389335516699661190673537609116699661553398378149161
15859781736587048046249684664869426408407856371879548159
15750218665312803287949336116339497823082135668120548159
15610273564437996321886103113016881236997344653720148157
1557873769607914863131616919616131368419706967378747156
1547495315210345616926314828413629616543012513594747156
1537283003374881572224068111860422275188473300382747156
1527222451273765734414864343468414437567372154222747156
1515624393999400543219160040061912345004999393426547156
1503675592587453421971518575815179124354785295576347155
1491642215900106137684791737197486731601009512246147154
1481232889953189705917173111371719507981359988232147154
147933538832458615602684333348620651685423883533946153
146531893503276610471180799708117401667230539813546152
14590324048680907340709695969070437090868404230945150
14470640032528992699385343435839962998252300460745149
14355701937094119961225858585221699114907391075545149
142910154776775754772502120527745757767745101943143
141734277951397882724548484542728879315977243743143
140338157842070460300161316100306407024875183343142
139181606034479128570886968807582197443060618143141
13890535763073246383343663433836423703675350942140
13759594359862632080790550970802362689534959542139
13630961243190727441854444581447270913421690342138
13517034181515345319715445179135435151814307142137
13413903535144336769976006799676334415353093142137
13312879566967334438177007718344337696659782142137
1329880146634860007999212999700068436641088941137
1315654585830666708792343297807666038585456541136
1303809042117645023377848773320546711240908341135
1293163675976402479420454024974204679576361341135
1281432742521635495126414621594536125247234141134
127711490795092017392455429371029059709411740133
126163458714148851571288217515884141785436140131
125101742176618944510299201544981667124710140130
12477360961819830709759579070389181690637739130
12355170006199840524557554250489916000715539129
12213167445701433021869681203341075447613139127
12112419242135047130072700317405312429142139127
12012224082400223454595954543220042804222139127
1193219015823310110502205011013328510912338125
118997038745499189649194698199454783079937123
117970799914271798490709489717241999707937123
116589389008011598424442489511080098398537123
115168182472583139042824093138527428186137121
114132347545700889596569598800754574323137120
11399802111931818984224898181391112089936120
11279439783264272254004522724623879349736120
11171008423044646995005996464403248001736120
11013912435570164072002704610755342193136117
1099675472097753271070172357790274576936117
1089428584871780514030415087178485824936117
1077675977831193832545238391138779576736116
1065407494054172508878805271450494704536116
1051082762843003964060469300348267280136114
1041065209900655276666672556009902560136114
103993252540228469577596482204525239935113
102148086956396010077001069365968084135111
101140946088414794300349741488064904135111
10057978210097591739371957900128797534109
9933299715642255546455522465179923333109
9818872649303645033305463039462788133108
97715568167610483538401676186551731103
96339074164633138183133646147093331102
95111579203506083338060530297511131100
943780597874646777764647879508733099
93565323456590722270956543235652996
92306584648222253522228464856032995
91300002581511732371151852000032995
90197562912441273721442192657912994
89178698061421842481241608968712994
8816090610983350053389016090612891
877952806296912021969260825972790
865529639562701410726593692552789
855320791612514341521619702352789
84Prime Curios!    3907145050916661905054170932789
833510953314283538241335901532789
821387583213837973831238578312787
81508245138511881158315428052686
8074757030798707897030757472583
7972609886885202588688906272583
7858129885630131036588921852583
7712192281587010785182291212581
7611943137613939316731349112580
7511304860748171847068403112580
74942618055838385508162492377
73929134017759577104319292377
72729280881958591880829272376
71174619989486849899164712374
705394753281718235749352169
691143541261216214534112167
68947781574224751877492067
67328899417887149988232065
66108797402442047978012064
6596748687232786847691964
6470362671262176263071963
633135581533518553131859
621612061522516021611858
61559526370736259551756
60376299270729926731756
59370787968697870731756
58341044820284401431755
57182794408044972811755
56108196719176918011754
55104575874785754011754
5431489557755984131652
5317937707707739711651
529331383638313391550
515522125352122551549
50341413883141431445
4994848747848491344
48Prime Curios!    72847171748271343
4772275262572271343
4656526222625651343
4519999252999911341
4417940969049711341
4317927040729711341
4214749222947411341
4114138999831411341
4012341040143211341
391365255256311237
381109488490111237
37750151510571137
36324792974231135
35184621264811135
34100509050011134
3374511115471033
3212908809211031
31939474939930
30910373019930
29719848917930
2813500531824
275841485723
265259525723
255071705723
243129213722
231979791721
221934391721
211758571721
20585585620
1973737517
1853835516
1753235516
1639993516
1532223515
1415351514
139009414
127447413
11717310
10585310
9Prime Curios!    31339
89927
73326
6914
5Prime!    713
4Prime!    513
3Prime!    312
2111
1011

Index Nr

Also palindromic
in base 3 (ternary)
A007633

L base 10

L base 3

Next ⩾ D=51 or > 10^50D
150831299301223953564502746764720546535932210399213849103
149731295367722282804553190909135540828222776359213749103
148641902502105864844984819491848944846850120520914649103
147583186800959475280121534043512108257495900868138549103
146405414393043006714974068186047941760034039341450449102
145404121468329595205382621112628350259592386412140449102
144125776152296062094225704640752249026069225167752149101
14392610641450749219575106446015759129470541460162948101
14246713570067224961154828558284511694227600753176448100
14146713398876801605261533113351625061086788933176448100
14025437070706894570966910550196690754986070707345248100
1391244587186129600182204288240228100692168178544214899
138481052360435334604038831388304064335340632501844798
137427979996951104977078520258707794011596999797244798
136149203142464551438446915196448341554642413029414797
13565361784884758255881706607188552857488487163564697
13418446905849288438390021120093834882948509644814695
1332326344890930281418402420481418203909844362324593
1322312425844631923527435053472532913644852421324593
1311015573911360369494504040549496306311937551014593
130442906862279979086282662826809799722686092444492
12980478353405641560542262245065146504353874084390
12816400357033372284420545024482273330753004614389
12710037607523702204380646083402207325706730014389
1268067989201658508963155136980585610298976084288
1254041410052771216417111171461217725001414044288
124882321484820163250693960523610284841232884186
123861984752850633174125214713360582574891684186
122840058350190354433484843344530910538500484186
121614144562290600143949493410060922654414164186
120461972761426638517542457158366241672791644186
119233771905591144771253521774411955091773324185
118224664048499930219275729120399948404664224185
11737238352614557400524425004755416253832734083
11632227809715848853726627358848517908722234083
1158654512214002375809790857320041221545683982
1144222582061180298992129989208116028522243981
1134187163600812191054045019121800636178143981
1123963143584790801493539410809748534136933981
1112787787257330564001510046503375278778723981
110178429063215999432222349995123609248713879
10946520810672601069878960106276018025643777
10829991071124841564353465148421170199923777
10720454973342246849686948642243379454023777
1065802498843964764255246746934889420853675
1054253603994381063700736018349930635243675
1044179939553159964922946995135593997143675
1032585362707931794088049713970726358523675
1022290910512150559577595505121501909223675
101470965999352510015100152539995690743573
100241526244490227116117220944426251423573
9934373058795054668866450597850373433471
9821711972737423977779324737279117123470
977005896452991337273319925469850073369
965990767551643361116334615576709953369
9580675236032793585397230632576083165
9462036425403977323779304524630263165
9354993183745525737525547381399453165
9247269179742090050090247971962743165
9129475353757680484086757353574923164
9023553886728367909763827688355323164
8921592679869737727737968976295123164
8821233333254381272183452333332123164
8710884407335277313772533704488013163
865823721150093288239005112732853063
85932655265532675762355625562392961
84894953293638384838363923594982961
83407624254575406045754524267042960
8242490741732609906237147094242858
8123957525972855558279525759322858
8023153065252049940252560351322858
799285753106970907960135758292757
784288976789215651298767988242756
772571605265338683356250617522756
7696428411071323170114824692553
7523747530056898650035747322552
74293973755426245573793922348
73263654507438347054563622347
72122419869869689689142212347
7128742640421124046247822245
708216974000300047961282144
696710286086468068201762144
682774444880808844447722143
671341378357775387314312143
661255565144644156555212143
65656911696446961196562042
64177065900330095607712041
6369424985696589424961940
6240549625606526945041940
61Prime!    31952695303596259131939
6027468272313272864721939
5922838641767146838221939
586592958755785929561838
574246761466416764241837
563541641822814614531837
552484809844890848421837
54651928542458291561736
53216696258526966121735
52210752281822570121735
5119842674476248911633
505341743534714351531
494382222122228341531
48694900440094961430
4768521909125861327
4659722090227951327
4549784717487941327
4446570989075641327
4343200484002341327
4221210101012121326
41812345432181123
40580490940851123
3925183381521020
38885626588919
37520080025919
36387505783919
35239060932918
34211131112918
33123464321917
32Prime!    112969211917
3183155138817
3027711772816
29Prime!    7949497715
287875787715
275737375715
264287824714
254251524714
244219124714
234022204714
222985892714
211521251713
20848848613
19Prime!    93739511
1892929511
1776267511
1675457511
1574647511
1448884510
1329092510
12Prime!    75737
1165636
1048436
924235
821235
7Prime!    15135
612135
5812
4412
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 4
A029961

L base 10

L base 4

Next > 10^40
12198986982312526987943349789625213289689894067
12051690436198903605971179506309891634096154066
1196851126834213066107270166031243862115863965
1185894448513173019258785291037131584449853965
1175603176334551826987478962815543367130653965
1165459987833442467163736176424433878995453965
1153975405725982511450405411528952750457933965
1143530434091574944333633344947519043403533965
113316660514469965844994485699644150666133863
11251216488993372203444302273399884612153761
11126908863401791509030905197104368809623761
11026777609180334120575021433081906777623761
1095204205684977294666649277948650240253660
1083285469322138645377354683122396458233659
1073001575420461029800892016402457510033659
1061477123089050354866845305098032177413659
105925698115944949757579494495118965293559
104921054373712861694961682173734501293559
103190896849978052464642508799486980913557
102178818643614229791979224163468188713557
10171793886408606603306606804688397173457
10051088711989055775577550989117880153456
999948878469284012121048296487884993355
988316890270657104340175607209861383355
976819701636821153335112863610791863355
966494369728612020602021682796349463355
955822810785057043634075058701822853355
945624969158967710701776985196942653355
933724327163889877677898836172342733355
92600363245443350990533445423630063253
91311976749937045005407399476791133253
9054357416402495929594204614753453152
8918750141034481878184430141057813151
8818712357824266828662428753217813151
8718162180029150343051920081261813151
8612762127631290757092136721267213151
855453494087346944964378049435453050
84927922161495028205941612297292949
83158210484988802088894840128512947
8277781074915764467519470187772847
816661013790102520109731016662745
805411443828394049382834411452745
793530616983674747638961603532745
783367259436087078063495276332745
77358521446506886056441258532643
7656677402607373706204776652542
7556449777850343058777944652542
7452053666249777942666350252542
7350729391215212512193927052542
7216226333058171850333622612541
712247695532500523559674222439
701492655747233274755629412439
691098950812411421805989012439
68989961974524254791699892339
67599232118502058112329952338
66597375942001002495737952338
65574102648825288462014752338
648742187685258678124782135
638309354516261545390382135
628191778624042687719182135
615427374786068747372452135
603717652231613225671732135
593179206132823160297132135
58439829283553829289342033
57413781143003411873142033
5658081974202479180851932
5554527028343820725451932
5438962030353030269831931
5336146214070412641631931
5236102326171623201631931
51Prime!    12702372353273207211931
501018827966972881011829
49960620454540260691729
48572647764677462751728
47559349500059439551728
46135859635369585311727
4571455722227554171627
449127024542072191525
438159691419695181525
426462192429126461525
41418300770038141423
4056902777209651322
3934454161454431321
3816490616094611321
3714912787219411321
365081522518051220
355068022086051220
34Prime!    739796979371119
33592016102951118
32534060604351118
31517171717151118
30954656459915
29623010326915
2853822835813
275679765712
265614165712
255297925712
245259525712
235226225712
225051505712
213866683711
20Prime!    3826283711
192215122711
181801081711
17506605610
165767558
155565558
145525558
135323558
12799747
1193935
10Prime!    78735
966635
839335
7Prime!    37335
65523
5Prime!    512
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 5
A029962

L base 10

L base 5

Next > [277]
277708700070014997258766406938313806099533599060831383960466785279941007000780776109
27667105342887285466426322547642049593810183959402467452236246645827882435017675108
27528180199339638124453610247166776628264628266776617420163544218369339910818275107
27428136472511855574351010805825855388179718835585285080101534755581152746318275107
27328136472016884625270981368365711861470741681175638631890725264886102746318275107
27225634032117466000740811021008595531375731355958001201180470006647112304365275107
27119889330592717981723922661804894769914199674984081662293271897172950339889175107
27019884875384742424124548293160424301047401034240613928454214242474835784889175107
2698088131408906586230144497828612010211112010216828794441032685609804131880874106
2688043965220493336812420873119534392335533293435911378024218633394022569340874106
267650353719195488640132156650319397654445679391305665123104688459191735305673105
266650303167199465390328043135754208887778880245753134082309356499176130305673105
265600454054959719011505002255204195961216959140255220050511091795945045400673105
264432951710217336122729212667114714556665541741176621292722163371201715923473104
263432459659670198479111573513143884911211948834131537511197489107695695423473104
262407957535628549115207985010524196380608369142501058970251194582653575970473104
261407957535152493033537679764739970093839007993746797673533039425153575970473104
260403869633038777575358806238037519664446691573083260885357577783033696830473104
259277043761144280491717546858623081050805018032685864571719408244116734077273104
258204769911284081075692455592698884693239648889629555429657018048211996740273104
257200178602502901149291148587515411073637011451578584119294110920520687100273104
2566616443681411177004987676234422820323028224432676789400771114186344616671102
2556611176451854878634460503400324377535773423004305064436878458154671116671102
2546611129818445487827848420115946251383152649511024848728784544818921116671102
2532280543026031258529958182483289495131594982384281859925852130620345082271101
2522280016607582510890082372168177632090236771861273280098015285706610082271101
2512244043743063425437105328147847427121724748741823501734524360347340442271101
2501182825893820295978688824414535042404240535414428886879592028398528281171101
2491182234411415894777131687169187731212137781961786131777498514114432281171101
2481105252741447886694918391724193635878536391427193819496688744147252501171101
2471105201024586091147747386838310524363425013838683747741190685420102501171101
2467824844210361236568188828727073460706437072782888186563216301244842876999
2457055960893156389334921953324033441414433042335912943398365139806955076999
2447055447843440498356885183914670806960807641938158865389404434874455076999
2437055447327070686851250013668511459895411586631005215868607072374455076999
2427050641935303219965560565591988353235388919556506556991230353914605076999
241 88611834955707757098648664430582050285034466846890757707559438116886796
240 85301822343652625939338055301947515749103550833939526256343228103586796
239 6507916702175165662420127908482599528480972102426656157120761970566695
238 4632496360056967824245863023552277225532036854242876965006369423646694
237 2099946487743791255338020741771244217714702083355219734778464999026694
236 2099918816568580822291085669854266245896658019222808586561881999026694
235995436249307088907047418627747868687477268147407098807039426345996593
234991477843125416046549769826168723278616289679456406145213487741996593
23363286027049261480229209749907724427709947902922084162940720682366492
23232140644258668398705501445014760067410544105507893866852446041236491
23111942987062610226478360385012037730210583063874622016260789249116491
230642469941301077916105636531017117101356365016197701031499642466289
229642469471517820731520699880440440440889960251370287151749642466289
22867260551132448100120759173101212101371957021001844231155062766188
22715372909587776115198521047883595388740125891511677785909273516187
22615328059930469397113172255979222979552271311793964039950823516187
2258833561911988807771542297884011048879224517770888911916533886086
2248553871486357385893488060895988959806088439858375368417835586086
223656119821772055472054646127527257216464502745502771289116565985
222490664709018711978208615357738377535168028791178109074660945984
221465647177816374296512860185609065810682156924736187717465645984
220461932046669364210347250565806085650527430124639666402391645984
219268198893789485038973493992665662993943798305849873988918625984
218268193270097873056483860968486848690683846503787900723918625984
217264294703942411048100700780344430870070018401142493074924625984
216235059934868697912224141915771775191414222197968684399505325984
215235051017593361154554436412823282146344554511633957101505325984
214231107161424919830430066071346431706600340389194241617011325984
21399393190189036492875366371429924173663578294630981091393995883
21296635329814314291835774557531135755477538192413418923536695883
2113239929660098237649298907408880470989294673289006692993235781
2101476073877386482860085227265556272258006828468377837067415781
2091474794996046084335011500323932300511053348064069949747415781
2081433886629883237408253836286468263835280473238892668833415781
2071433210239502910194417628709590782671449101920593201233415781
2061198632976583300746542261080008016224564700338567923689115781
2051196285708305603904627052686568625072640930650380758269115781
204Prime!    72781756772491967117815954111459518711769194277657187275579
20372733744929844323275793332565233397572323448929447337275579
20272226642318532278873109732313237901378872235813246622275579
20164327668629549317308633032101230336803713945926866723465579
200857165262259659801811660631360661181089569522625617585376
199857160179411731232897340178710437982321371149710617585376
198857160174774302760817583130313857180672034774710617585376
197828041674877451279878271797971728789721547784761408285376
19646774020181327791602287809908782206197723181020477645274
1958422730896436514247463893439836474241563469803722485173
1948422730844331048374346104840164347384013344803722485173
1938422269149446324536203708680730263542364494196222485173
192148664151788041232580164554610852321408871514668415071
191144533033040945826133771001773316285490403303354415071
1906499362417515913231068055086013231951571426399464869
1896448634006262590883600133100638809526260043684464869
188189464679781072525527073707255252701879764649814767
187184433846070661535669826289665351660706483344814767
186154317930589517667201878781027667159850397134514767
185150883448150414211756638366571124140518443880514767
184150838886088390642818125218182460938806888380514767
1836286970359255785526168886162558755295307968264565
1826232538387472883104888988840138827478383523264565
1816232061136314617559354545395571641363116023264565
1804537498412311671440636563604417611321489473544564
1794535115385056035874956265947853065058351153544564
1782996108066965194088254345288049156966080169924564
1772996103837272660169346464396106627273830169924564
1762959647018070896360107870106369807081074695924564
1752952824356731354436816761863445313765342825924564
1742662018501283633178171017187133638210581026624564
173989668280610409712797887972179040160828669894463
172989126066184857613106336013167584816606219894463
171840866720071025038399779938305201700276680484463
170812406857135691295538998355921965317586042184463
16960110322867109014812101218410901768223011064362
16842775932552072575844737448575270255239577244361
16742700265085366136022727220631663580562007244361
16642367548313256152927545729251652313845763244361
16542367085008248940325757523049842800580763244361
16424264947586415692647414746296514685749462424361
16324264947066584619895050598916485660749462424361
16221814394761437091445464544190734167493418124361
16121471089668339503711505117305933866980174124361
16021069352942997754745999547457799249253960124361
15921069022811913020455909554020319118220960124361
15814166960655000889216626612988000556069661414361
15714148839729719117673191376711917927938841414361
15610103310965822784284585482487228569013301014361
155645155089914443221352531223444199805515464159
154611531386391397014349434107931936831351164159
1538798789996618782041614028781669998789783956
1528793482622028191298189219182022628439783956
151459582826540260607557060620456282859543854
15098355548374646338696833646473845553893753
14995960457688494586898685494886754069593753
14895052271321108467969764801123172250593753
14784676387705731746555647137507783676483753
14681832255758438020434020834857552238183753
14581459783167634355414553436761387954183753
14481401977993885392323293588399779104183753
1436851206038418013677631081483060215863652
1426021170765662212633621226656707112063652
1412153555471650645844854605617455535123651
1401060071622145517800871554122617006013651
13977480920410621016610126014029084773449
13869502677769508914419805967776205963449
1371868385215463911111936451258386813347
1361861628809096304340369090882616813347
1351861623961119681718691116932616813347
1341591710142840364446304824101719513347
1331519985430038416761483003458991513347
1321519980597219741714791279508991513347
131876533436656453773546566343356783246
13062970244597370030073795442079263145
12962927888053243535342350888729263145
12845724004216653343356612400427543144
1279200490388424500542488309400293043
1268639089703324511542330798093683043
125681238668293643463928668321862942
124607954570356595956530754597062942
123416187511289153519821157816142941
122318918847149456549417488198132941
121314179777870796970787779714132941
120314179725473450543745279714132941
119314160632423812183242360614132941
118310981648664943494668461890132941
117310291547250813180527451920132941
116240559997113862683117999550422941
115146265357709638369077535626412941
114106444614644354534464164446012941
113102333175398122218935713332012941
1127759819106642024660191895772739
1117759394105410001450149395772739
1107759342828618681682824395772739
1096917744584313231348544771962739
1086187627509151515190572678162739
1076131190046331513364009113162739
106186521600168668610061256812637
105156361661519889151661636512637
104156311443077997703441136512637
10387857202890212098202758782536
1026791160497744779406119762435
101897505207573757025057982333
100897500541833381450057982333
99897074424920294244707982333
98893787959518159597873982333
97893737033008003307373982333
96893732353051503532373982333
95869853393917193933589682333
94869806770747470776089682333
93865027590484840957205682333
92865027143789873417205682333
91837323433113113343237382333
90832089756951596579802382333
89832084056472746504802382333
8841854598008800895458142231
8734417317918819713714432231
8620154968350053869451022231
8510730776343343677037012231
8410717275957759572717012231
83692586421771246852962029
82668198149559418918662029
81610343750000573430162029
80221927533883357291222028
7918770262464262077811927
7818726667252766627811927
7718721685282586127811927
7615608906212609806511927
7515603938393839306511927
7415274474080474472511927
73675463234323645761725
72625967519157695261725
71284531463641354821724
70280126394936210821724
69258561011101658521724
68258513775773158521724
6786711621126117681623
6680664492294466081623
6580611139931116081623
646587689798678561522
636533110401133561522
624736969696963741521
614736436463463741521
604499339293399441521
594494882828849441521
584453895959835441521
574453849694835441521
564453362726335441521
553785734243758731521
543744769696744731521
533015374347351031521
522791193839119721521
512069035653096021521
502067254445276021521
492023045154032021521
481762657575626711521
471760718381706711521
461728491819482711521
451721020802012711521
441324124342142311521
431077930803977011521
421077457875477011521
411038247174283011521
401031911311913011521
3977301737103771319
3869890626098961319
3769825787528961319
3666949787949661319
3566481303184661319
3466433696334661319
3361057696750161319
3222282616282221318
31121850581211115
30121147411211115
2967615516761015
2828935539821014
2725968869521014
2625128821521014
25836181638913
24836131638913
23831868138913
22831333138913
21808656808913
2065977956812
1947633674811
1830322303811
1727711772811
1610400401811
1510088001811
141888157
131575157
12122145
1167635
1062635
928234
825234
78823
6612
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 6
A029963

L base 10

L base 6

Next > 10^40
18231856735813342014398893410243318537658134051
1819281810927595792209990229759572901818293951
1807772653472139102667376620193127435627773950
1792966552841716808228882280861714825566923950
1781423944784416040217371204061448744932413950
1771193117503436366138483166363430571139113949
176732510709069452207337022549609070152373849
175624024469453017500550057103549644204263849
174332032433670327793773977230763342302333849
173146352192371142284114822411732912536413848
17259253888483722668686866227384888352953748
17154609431930281088555880182039134906453748
17035597210275483473797374384572012795533747
16932590052175499632848236994571250095233747
16829760637585457578020875754585736067923747
16728640647937748019707910847739746046823747
16627913572642469666989666964246275319723747
16526130284327185947010749581723482031623747
16426119310737660377070773066737013911623747
16310427681941419562848265914149186724013747
162913666023589600876780069853206663193545
161858505147864788247428874687415058583545
160441165008625387204027835268005611443545
159413801517252161558551612527151083143545
158165069104339178027208719334019605613544
1579135152006833463336433860025153193343
1565765423737408938783980473732456753343
1553171539129967273037276992193517133342
1543047673082842537673524828037674033342
1531582832953074210101247035923828513342
1521321121853784403330448735812112313342
151953258588712996226992178858523593242
150608993872482809999082842783998063241
14948354020394917898719493020453843140
14819473100246416626614642001374913139
14718882725683875191578386527288813139
14612192494047454626454740494291213139
14511422609532979252979235906224113139
1448451744727257677675272744715483039
1432531015928851877815882951013523038
142991368072046188816402708631992938
141905349255741839381475529435092938
140586624989037363637309894266852937
139534301305758446448575031034352937
138461971798399758579938971791642937
137449770314290759570924130779442937
136335646748253021203528476465332937
135331708167090017100907618071332937
134194148201490801080941028414912937
133140589428641204021468249850412937
132104204012061634361602104024012937
13185223837182940049281738322582836
13014704624628863368826426407412835
1296868252310269696201325286862735
1285702786758469096485768720752735
1271876266322570407522366267812734
126716236527305005037256326172634
125300943226256336526223490032633
12499611152001909100251116992533
12326741670822686228076147622532
12214528328452939254823825412532
12111748315086949680513847112531
12011743551187888781155347112531
1191147799710777701799774112430
118Prime!    365992338076708332995632329
117334610258596958520164332329
116320466969379739696640232329
115314429836759576389244132329
114275969282750572829695722329
113263876970601060796783622329
11248000629714417926000842228
11139513004203302400315932228
11032286072939939270682232228
1099547052777777725074592127
1086986242236763224268962127
1075159428023632082495152127
1064131103281218230113142127
1051840429276567292404812127
1041014861136463116841012126
103806954525885254596082026
10257615474757474516751925
10152835110464011538251925
1006175994277249957161823
99761238292928321671722
98653324626264233561722
97637999786879997361722
96342834907094382431722
95144598686868954411721
94144410504050144411721
93129075688865709211721
9280208634436802081621
9157966638836669751621
9028065926629560821620
899008935853980091520
885964372827346951519
875857893239875851519
865211519291511251519
854806804440860841519
844223837973832241519
833959218481295931519
823890193639109831519
813596302120369531519
803094916261949031519
792856664646665821519
78Prime!    1552598389525511519
77808390440938081418
76519106226019151418
75414439999344141418
74102687997862011417
7397665606566791317
7282888828888281317
7168738121837861317
7036952020259631317
6936932222239631317
6836914222419631317
6736669262966631317
6618084828480811316
65755356535571114
64717717177171114
63616624266161114
62180135310811114
61124824284211113
60Prime!    112715172111113
5988013310881013
5877865568771013
5771118811171013
5643687786341013
5537331133731013
54342050243911
53310393013911
52290222092911
51Prime!    108151801911
50104888401911
49103656301911
4824466442810
4715266251810
46908180979
45816461879
44698389679
43693439679
42690109679
41579997579
40576667579
39573337579
38548284579
37543334579
36540004579
35518281579
34510001579
33484948479
32459895479
31456565479
30451615479
29429892479
28426562479
27423232479
26309790379
25186768179
2490990968
2380880868
2216886167
217464757
203989356
192202256
18777746
17766745
16144145
1586834
1477734
1343434
1234334
11Prime!    19133
1014133
911133
85523
7Prime!    712
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 7
A029964

L base 10

L base 7

Next > 10^40
12841266881069322172697796271223960188662144047
12741213067173550449433334944055371760312144047
12617286908389877703333333307778983809682714047
1256797579646491339728982793319464697579763946
1244834991849356688248284288665394819943843946
1234602842290460064763536746006409224820643946
1222532984221603863853135836830612248923523946
121866271089370778033333308770739801726683845
12084632354195490756666657094591453236483744
11982995189035679675414576976530981599283744
11827831730104129284323482921401037138723744
11721393214715932446404644239517412393123743
11613236492010115411838114511010294632313743
1157966004000788412300321488700040066973643
114302232227791397192917931977222322033541
113266815610969203198913029690165186623541
112229429374890824266624280984739249223541
111220684918028267770777628208194860223541
11023093618015449915519944510816390323440
1098448145800347971417974300854184483339
1088228756724741021112014742765782283339
1076232126649748180708184794662123263339
1066047200446996487878469964400274063339
1055241568032481407670418423086514253339
1041742611501891481718419810511624713339
10392985269754443404344457962589293137
10282596712554921858129455217695283137
10180475933503196292691305339574083137
10044857662536617565716635266758443137
9931672133908818202818809331276133137
9830493555988870828078889555394033137
9725994487248209424902842784499523136
968272650193527633672539105627283036
954858584551812088021815548585843036
94Prime!    966237076049641469406707326692935
93843926544279182819724456293482935
92752609431814196914181349062572935
9125361570137013310731075163522833
906546616016462226461061664562732
891225027001797079710072052212731
88Prime!    1208528452829992825482580212731
871082472949178087194927428012731
86996697558260330628557966992631
85702049450566556650549402072631
8430256065714000417560652032529
8326965534356929653435569622529
827995117297500579271159972429
81679491174069604711949762328
80654373714495944173734562327
79470195768506058675910742327
78296278369016109638726922327
77243927128957598217293422327
76207225215627265125227022327
75Prime!    177977675197915767797712327
7484211989788887989112482226
739425385326862358352492125
727556670179397107665572125
716171611628782611617162125
705075989249094298957052125
694000037170007173000042125
683977931400600413977932125
672401763992529936710422125
66222448184224818442222023
6591006818535818600191923
6478690476242674096871923
63997390470740937991721
62987098559558907891721
61671229110119221761720
60650450533350540561720
59420742053502470241720
5875847187781748571619
5731798622226897131619
562297163636179221517
552158214241285121517
542080639593608021517
532019460106491021517
52851617557161581417
51741949669491471417
50499294774929941417
49234197667914321416
4888680676086881316
4767509898905761316
4641585636585141315
4529282999282921315
4427453828354721315
43268012021086213154
4224519565915421315
4122640929046221315
4012698808896211315
397753500535771215
384269700796241214
37953650563591113
36910239320191113
35Prime!    907507057091113
34754312134571113
33750161610571113
32657960697561113
31644545454461113
30614549454161113
29458622268541113
28401307031041113
27256994996521113
26858474858911
25657494756911
24638828836911
23485494584911
22466828664911
21230474032910
2061255216810
19Prime!    947074979
18695859679
17659795679
16460206478
15213731278
146565656
13Prime!    1656155
1229233
1124233
1017133
912133
8812
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 8 (octal)
A029804

L base 10

L base 8

Next > 10^40
15190449783635538427667766724835536387944094045
1505049448322856828194649182865822384494053943
149167338737081245925005295421807378337613842
14893806398718622780545087226817893608393741
14783258126183274287404782472381621852383741
14683035984579911256949652119975489530383741
14575181087884478286313682874488780181573741
14473057479862522945979549225268974750373741
14371355477010653632101236356010774553173741
14263885166616844232929232448616661588363741
14163050280761647773010377746167082050363741
14051370138635400213969312004536831073153741
13914226912325827493666394728523219622413741
1385971856340345070500507054304365817953640
1374533929539022774255247722093592933543640
136607977109478701571751078749017797063539
135497065326942602177712062496235607943539
134438466388395602548452065938836648343539
133397062213878682347432868783122607933539
132143622240990674278724760990422263413538
13160912800526960936639069625008219063438
13011418974151908562265809151479814113437
1299940906045724403130442754060904993337
1288580376809657635153675690867308583337
1278355232833325316561352333823255383337
1265876178430469638983696403487167853337
1255643410932371198189117323901434653337
1243553094074844165256144847049035533337
123898797689571943883491759867978983236
122385254913443660330663443194525833235
121171813774259409999049524773181713235
12037920331971624777426179133029733134
11933772424404770333077404424277333134
11829037954774786060687477459730923134
11719497001084229959922480100794913134
116984448615369755579635168444892933
115794438587257191917527858344972933
114686077052002724272002507706862932
113621199781922969692291879911262932
112363865156912056502196515683632932
111204663539763851583679353664022932
11026749723020796697020327947622831
1096190577876735253767877509162730
1081386680923018681032908668312729
1071071840098204440289004817012729
106822686629176446719266862282629
105411554311120550211134551142629
10495044112130363031211440592528
10395029176463787364671920592528
10295004657609222906756400592528
10168577765285363582567775862528
10037608490130818031094806732528
9920911035706151607530119022527
9816468199883030388991864612527
978901702680888808620710982427
963156100278644687200165132427
95397526566230326656257932326
94362583401435341043852632325
93Prime!    341257034953594307521432325
92173952596982896952593712325
91158631250242420521368512325
9073932370647746073239372225
8925034988051150889430522224
885799278101110187299752123
875563629984548992636552123
865528683937273938682552123
854946355319091355364942123
844733170020102007133742123
833790807652425670809732123
823755861605150616855732123
813751835974047953815732123
803719118689198681191732123
792026937121612173962022123
78775808549449458085772023
77446431030220301346442022
76323003611881163003232022
7598432077676770234891922
7438000031505130000831921
7336760771666177067631921
7226506269393962605621921
7124454200797002454421921
7012190711696117091211921
691360533588533506311819
681050804699640805011819
67968768274728678691719
66841991484841991481719
65841723615163271481719
64703333415143333071719
63572340172710432751719
62455762103012675541719
61455344305034435541719
60332390247420932331719
596858544144585861517
586831134743113861517
576665515351556661517
563930734143703931517
553599341114399531517
542247856465874221516
531858509990585811516
521127453835472111516
51349269999629431415
50287195555917821415
49139946886499311415
4877121505121771315
4758531434135851315
4652275292572251315
453908944980931213
442943788734921213
43944666664491113
42940298920491113
41208555558021112
4046373373641011
3944808808441011
3844249942441011
3724645546421011
3618203302811011
35799535997910
34719848917910
33532898235910
3213053503199
315536635589
30419891478
29Prime!    197079177
28193539177
27Prime!    149694177
2666006667
2562882667
2420770266
233030355
22Prime!    3010355
212666255
202646255
19Prime!    1333155
181313155
17877845
16366344
1558534
1441433
13Prime!    37333
1233333
1129233
1012133
9912
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 9
A029965

L base 10

L base 9

Next > 10^40
1259257963497774540278387204547779436975293941
1248029030269326244804540844262396203092083941
1236805087326901866471117466810962378050863941
1226744105763902725654945652720936750144763941
1216613387002843571537873517534820078331663941
1206097712220725615123332151652702221779063941
1196058708955494219797179791249455980785063941
1185149517951472573730403737527415971594153941
1174801610993341404846664840414339901610843941
1163426225773907507931013970570937752262433941
115Prime!    3144193381318177067176077181318339144133941
1142893569528399734683838643799382596539823941
1132294788112064876746664767846021188749223941
1122187332381579379646264697397518323378123941
1112010493584757153899199835175748539401023941
1101993655450551366575157566315505455639913941
10978024939525656560929065656525939420873739
10871316652712751198444891157217256613173739
10760221884195988487030784889591488122063739
10631447351342691124484421196243153744133739
1051408747695100821211212800159674780413637
104874528981244305866685034421898254783537
103634349537076856036306586707359434363537
102521642404564502451542054654042461253537
1019065816094467461416476449061856093335
1008554163319250806660805291336145583335
998508460483504271817240538406480583335
987059574346470844144807464347595073335
976553285426326718081762362458235563335
965129708169469356165396496180792153335
955117859658472722522727485695871153335
944918790034632765656723643009781943335
933392650417032027172023071405629333335
92183294113200092772900023114923813233
9179047547387840090048783745740973133
9042770457852405151504258754077243133
893674668518186700768181586647633031
882159488077145000054177088495123031
871287035524858922985842553078213031
86674401131110636360111311044762931
85607963654485091905844563697062931
848754180050180608105008145782729
836568322692892929829622386562729
826489546039693139693064598462729
81316855029930550399205586132627
80268808558072662708558088622627
796847065098500589056074862425
786696041821155112814069662425
775940429016044061092404952425
761754437709988990773445712425
7576237221536635122732672223
7449978784806608487879942223
7330148492119911294841032223
7218950432936639234059812223
7116853804150051408358612223
701046185104240158164012121
69893493495885943943982021
68821488296996928841282021
67532936484334846392352021
665479069833896097451819
651942164055046124911819
641900760277206700911819
63148025543455208411717
62135774784874775311717
61111997012107991111717
60111110593950111111717
5959870787787078951617
5847825371173528741617
571498192129189411515
561492854345829411515
551019040104091011515
54421439009341241415
53412752222572141415
5220819858918021313
5120240999042021313
5020055424550021313
49Prime!    14002323200411313
488273622637281213
4795653356591011
4689011110981011
4554356653451011
4438200028399
4323200023299
4218143418199
4116719176199
406566665689
39336063377
38330303377
37317171377
36316361377
35312221377
34311411377
33Prime!    310601377
32245054277
31244244277
30243434277
29240104277
28188588177
27187778177
26182828177
25172127177
24171317177
23154045177
2262662667
215060555
204232455
192747255
182575255
17688645
1665633
1564633
1455533
1346433
12Prime!    37333
1128233
10Prime!    19133
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 11
A029966

L base 10

L base 11

Next > 10^40
1198050464816681703266666230718661846405083938
1184205885414363409509290590436341458850243938
117Prime!    3338849474793822414441422839747494883333937
1162427937027659933295459233995672073972423937
1151693365131755387343634378355713156339613937
1141653946001481332152625123318410064935613937
11342180646926022714646417220629646081243736
112Prime!    19264346767268416323614862767643462913735
11115948062824129091767190921428260849513735
11015926082891836378747873638198280629513735
10915212187252542619343916245252781212513735
108849777629543767304037673459267779483534
107822064498939858664668589398944602283534
106484209177186506185816056817719024843534
105467430250084841679761484800520347643534
104141251613412795849485972143161521413533
103133322797749194905094919477972233313533
1028684688873818777577781837888648683332
1014257729837814513131541873892775243332
1002957369398275234643257289396375923332
991440572204178577277587140227504413331
981369442276213341714331267224496313331
971352501813953138083135931810525313331
961224109181642236563224618190142213331
9584154342017436727634710243451483130
9448701260077155242551770062107843130
9348535224955570181075559422535843130
9223520733246537010735642337025323130
9110572387113702494207311783275013129
90235876106676137316766016785322928
89103812511048078708401152183012927
888472547404254245240474527482726
8799868317813626318713868992525
8623273302395717593203372322524
85894039576050506759304982323
84272058391937391938502722322
839032530596369503523092121
827713418328182381431772121
816868330761216703386862121
806711367386668376311762120
7978617360171063716871919
7864116826141628611461919
7742446914676419644241918
76642246526256422461717
75627121196911217261717
74568317298927138651717
73566817644467186651717
72544706422246074451717
714639066566093641515
702597993839979521514
692515691819651521514
682182545954528121514
672182103530128121514
662180532923508121514
6547986414689741313
6429260727062921312
6329092787290921312
62425210125241111
61394532354931111
60392760672931111
59Prime!    99945499999
58Prime!    99811189999
5753718173599
5649208029499
5548952598499
5436215126399
5335677765399
52884448877
51883238877
50882028877
49875857877
48874647877
47873437877
46872227877
45871017877
44729292777
43728082777
42574147577
41566766577
40565556577
39564346577
38459395477
37458185477
36442224477
35441014477
34434843477
33337273377
32336063377
31329892377
30Prime!    328682377
29327472377
28326262377
27296869277
26295659277
257515755
246393655
235282555
224929455
214050455
20Prime!    3818355
192696255
1890933
1789833
16Prime!    78733
1567633
1456533
1345433
1234333
1123233
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 12
A029967

L base 10

L base 12

Next > 10^40
13447558880585698110836638011896585088855744037
13339952222201706953144441359607102222259934037
13212139430321701483253352384107123034931214037
1317547510818385943092329034958381801574573937
1306279800767308720232823202780376700897263936
1295815316383066046021212064066038361351853936
128498332345880317495665947130885432338943835
127178405794834368835005388634384975048713835
12692726106829004952454259400928601627293735
12556573557102681692676296186201755375653735
12452018296209609756000657906902692810253735
12339469444294236893707398632492444964933734
12232208493019810661919166018910394802233734
1218704998496221836200263812269489940783634
1203870463547369699299299696374536407833633
1193810761846974772899827747964816701833633
1181192657095456873577537865459075629113633
117856743609141518026208151419063476583533
116834931902152622608062262512091394383533
115818027524843553042403553484257208183533
114814403535786308860688036875353044183533
113810034573470797140417970743754300183533
112563198557762669586859662677558913653533
111377372259437710152510177349522737733533
11024209162325746090090647523261902423431
10917484989740517273372715047989484713431
1089386227345891611311619854372268393331
1079166600778464618181646487700666193331
1067666830501526018781062510503866673331
1057245488671508488488480517688454273331
1046014005431727377577372713450041063331
1034948241317892427872429871314284943331
1024768195647725965056952774659186743331
1013746571721393340604339312717564733331
1003549651283351829392815338215694533331
99197582241067543333457601422857913229
9867719893043422858224340398917763129
9741953730686286838682686037359143129
9641514866594003313300495668415143129
9515556418096316494613690814655513128
9412909182109005494500901281909213128
93583049008502018102058009403852927
92360862562552283822552652680632927
91285360786472189812746870635822927
90245245000598318138950005425422927
89189018923487926297843298109812927
88124712186842043402486812174212927
8728504720486363363684027405822826
869361467416481818461476416392725
858123023139163436193132032182725
847783874769626262696747838772725
837732833915535153551933823772725
827530435276318681367253403572725
814967631701785158710713676942725
802271340359097079095304317222725
792249160497034843079406194222725
781469729929826962892992796412725
77986350067078338707600536892625
76290730898903443098980370922624
7579071214896979698412170972524
7454540788356838653887045452523
7352836162915858519261638252523
7252178817997292799718871252523
7146540624898757898426045642523
7025034165688727886561430522523
6917288158516595615851882712523
6810115064290555092460511012523
677915588515711751588551972423
66527133614592954163317252322
65417553642379732463557142321
64132153898803088983512312321
6375596234120021432695572220
6216938517561165715839612220
613020022642824622002032119
602836310081318001363822119
592168111492429411186122119
58529757699339967579252019
5739671133313331176931918
5633454546464645454331918
5518345929050929543811917
5413121613757316121311917
5313101271383172101311917
529266179666697166291817
514189557433475598141817
504115288477488251141817
49901458916198541091716
48163301827281033611716
4783301072270103381615
4651282882288282151615
4516436003300634611615
44622184114812261413
43101714664171011413
4245386848683541312
413574966947531211
401225077052211211
39731838381371111
38576441446751110
37509927299051110
36362658562631110
35257123217521110
341393223931109
3379621269799
32Prime!    71317131799
3152002002599
3029337339298
2913997993198
2813337333198
27996369977
26836463877
25564146577
24319291377
2364664666
228888855
214393455
203595355
19800844
18111143
17Prime!    79733
1673733
1567633
1461633
1355533
12Prime!    18133
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 13
A029968

L base 10

L base 13

Next > 10^40
1368761051891932805594749550823919815016783935
1358080741625411466951215966411452614708083935
1346117833675267886767476768876257633871163935
1335171880532836944241014244963823508817153935
1324610516882958001947874910085928861501643935
1314329290663028141267776214182036609292343935
1302940383463921003659595630012936438304923935
1292677557573533321272427212333537575577623935
1281920704870236896114741169863207840702913935
127681469275290852277887722580925729641863834
12663723088715840490181094048517880327363734
12550687084458334423404324433854480786053733
12446575273224522749747947225422372575643733
12345452381805879505565505978508183254543733
12242912633746566655979556665647336219243733
12141744802088073157626751370880208447143733
12024549888522067427070724760225888945423733
11916224953659575882828288575956359422613733
1185324337640635858588585853604673342353633
117859158516204401460641044026158519583532
116281911096226281196911826226901191823531
115140791219229708867688079229121970413531
11473378819311208341143802113918873373431
11354324154292305938839503292451423453431
11236482213476255201102552674312284633431
111874641929440579339750449291464783229
110758231488804684114864088841328573229
109524988526505029229205056258894253229
10888764035622920242029226530467883128
10781479337827726565627728733974183128
1061675370356384522548365307357613027
10553591040163164461361040195352825
10452714469362784487263964417252825
10343837872470833338074278738342825
10215859546053148841350645958512825
1017263441338899399883314436272725
1004340049088286168288094004342724
99416842231650770561322486142623
98365156212491881942126515632623
97320146344853883584436410232623
96274805080880330880805084722623
9596178421571939175124871692523
9489125824611333116428521982523
9382150930621313126039051282523
9281032539436111634935230182523
9180094343892909298343490082523
9034220166162060261661022432523
89977865113585853115687792321
88783370905876785090733872321
87565514543987893454155652321
869951651778987715615992119
85Prime!    9700154864646845100792119
849600851376267315800692119
839585399083238099358592119
829319536373437363591392119
818325876482628467852382119
803643704587578540734632119
792925037211411273052922119
782772588802420888527722119
771622381400400418322612119
76Prime!    75208593929395802571917
7555448826232628844551917
7440024142999241420041917
7339761493696394167931917
7238987015373510789831917
7128326049393940623821917
7018369057959750963811917
69491644137314461941715
68458504538354058541715
67370794070704970731715
6672733247742337271615
656728048384082761514
646370131613107361514
632379238783297321513
622356048384065321513
61608083113808061413
60543241991423451413
5916249818942611311
5811993090399111311
577896799769871211
56220878780221110
558390660938109
548381551838109
537497557947109
527488448847109
516933223396109
506924114296109
494378778734109
484369669634109
473814444183109
463805335083109
453071001703109
4495240425999
4366866686698
4265635365698
416261162687
404709907487
394416614487
383329923387
372387783287
362317713287
352094490287
342024420287
331305503187
321012210187
31886468877
30290609276
29283238276
28271317276
27237773276
2631111365
255626555
242636254
232545254
222454254
21877844
20677644
19111143
18Prime!    79733
1766633
1657533
1544433
14Prime!    35333
13Prime!    31333
1222233
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 14
A029969

L base 10

L base 14

Next >10^40
13844084212242533008859958800335242212480444035
13735552719300554023252252320455003917255534035
1365000321525282782962026928728252512300053934
135551473415513567120990217653155143741553833
134218402916683825626446265283866192048123833
133208798938195205429339245025918398978023833
132157555182150896237227326980512815557513833
13174479315790738463545364837097513974473733
13054821306162041988979889140261603128453733
1293193962411128770011007782111426939133631
1281852314813131515777751513131841325813631
127928584233355114688864115533324858293531
126762846690883874172714783880966482673531
125741409092515644523254465152909041473531
124726814901455636271726365541094186273531
123669261148677310271720137768411629663531
122616779177804604434344064087719776163531
121342369696282235495945322826969632433531
12011213044956340960069043659440312113429
1199737184335181534343518153348173793329
1189683910766969285658296966701938693329
1178283749363732851615823736394738283329
1161443050851068378687386015805034413329
1151355003626038233833283062630055313329
1141282023626529916461992562632028213329
113505211175165456996545615711125053228
11273358138005781484187500831853373127
11170409081865859111958568180904073127
11067133786629591232195926687331763127
10957368085600139797931006580863753127
10842133897025086575680520798331243127
10742013895844763383367448598310243127
10636864017214826181628412710468633127
10534744528037958989859730825447433127
10412117226406831030138604622711213127
10311666128289292868292982821666113127
1025977683585323077032358538677953026
101374555152944274724492515554732925
100317177825821457541285287717132925
99276162947520225220257492616722925
98268773276370084800736723778622925
97218604478289283829828744068122925
96Prime!    191196577276501056727756911912925
95161359256225658565226529531612925
9483889192000612216000291988382825
9383871736644002200446637178382825
922080293996784148769939208022723
912055552449802520894425555022723
901896379928868686882997369812723
891841732991654945619923714812723
881560241155877077855114206512723
871284436950031313005963448212723
8659613055173000371550316952522
8511664610715373517016466112521
849648912865477456821984692421
833013477783522538777431032421
82564607952117112597064652320
81549960169413149610699452320
8045130137215512731031542219
7916205443414414344502612219
787565179663736697156572119
775357290303130309275352119
765310117820802871101352119
75593801935225391083952018
74592363425995243632952018
73269161020000201619622017
72155951837337381595512017
71153195210660125913512017
7073272848585848272371917
6972096110333011690271917
6861589818494818985161917
6761145066010660541161917
6660053596232695350061917
6537373342505243373731917
6435454942383249454531917
635465460333306456451816
62783252777772523871715
61695807923297085961715
60683002825282003861715
59570473632363740751715
58260722183812270621715
57245144447444415421715
56139556486846559311715
5559020371173020951614
547656110801165671513
537565599899556571513
526920211311202961513
516115522722551161513
504757947474975741513
493061499499416031513
482536755455763521513
472360706760706321513
4658133434331851312
4555421797124551312
4455301383103551312
4355074747470551312
4251050707050151312
4139843212348931311
4024280222082421311
3910984454489011311
3810311868113011311
376952566525961211
365499055099451211
355180322308151211
345086288268051211
3317085058071119
32Prime!    14203330241119
3111652825611119
3010476867401119
296758008576109
285736116375109
2759512159598
2656430346598
2553550553598
24981318977
23957875977
22Prime!    904640977
2154664566
2042002465
195909555
183959355
17111143
1699933
1585833
1471733
1346433
1232333
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 15
A029970

L base 10

L base 15

Next > 10^40
1126792643793587797165456179778539734629763934
1116718349942789211285758211298724994381763934
1106718239541291764758985746719214593281763934
1096718018769436777507170577763496781081763934
1084225146346681411756465711418664364152243933
1073779845124988525580908552588942154897733933
1063770409971857856603130665875817990407733933
1053670472036964763663036636746963027407633933
10424653172542197993313399791245271356423731
10324647716984322453353354223489617746423731
10224017201847064839858938460748102710423731
10112996781500375325232523573005187699213731
10012326828282021758565857120282828623213731
99100107518351972757572791538157010013529
9840293818313995201102599313818392043429
9720334828802171426624171208828433023429
966581732315728579097582751323718563328
95320502028333561661653338202050233227
9466638589958601888106859985836663127
9363020462735118040811537264020363127
928655928886278055087268882955683026
918630981670793299239707618903683026
908630476334785866858743367403683026
891351619649010801094691615312723
881040445921494049412954404012723
8767319772780484087277913762522
8649233261921191129162332942521
8548490399260818062993094842521
8448490399254191452993094842521
8346694687577353775786496642521
8225098256937393739652890522521
8124309470834222438074903422521
8023312662829585928266213322521
79176867889632369887686712319
78172153211509051123512712319
77171731830478740381371712319
76162575556834386555752612319
756374779406560497747362118
746372232539093523227362118
73895514578448754155982017
7267479200444002974761917
7167369425646524963761917
7040385829858928583041916
694277918955981977241815
681941767222276714911815
67749401720271049471715
66Prime!    747131847481317471715
65747129065609217471715
64747126635366217471715
632841111511114821513
622836523132563821513
611415272827251411513
60426299999926241412
59407003993007041412
5880048303840081311
5774855353558471311
5673054808450371311
5570732181237071311
5470731525137071311
5369087323780961311
5269072686270961311
5167994151499761311
5066379171973661311
4966248838842661311
4866240242042661311
4764984090489461311
4664983434389461311
4559385676583951311
4411318777813111311
4311310181013111311
426924655642961211
416152211225161211
4020281518202119
3917406960471119
388083223808109
378052662508109
368050880508109
352118008112108
346945549687
334799997487
323939939387
312830038287
302614416287
291757757187
2852772565
2751551565
2648998465
2547777465
2446556465
236757655
226010655
212555254
202363254
19277243
18155143
1797933
1694933
15Prime!    91933
1488833
1385833
1282833
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 16
A029731

L base 10

L base 16

Next > 10^40
16454736040558700437735537734007855040637454034
16353115992023540239993399932045320299511354033
16251400292200518481902209184815002292004154033
16138458115648990086010010680099846511854834033
16031701007100116679528825976611001700107134033
15920799969196663559599995955366691969997024033
15811016952896293821475574128392698259610114033
1578311842366294064340604346049266324811383933
1563722154239509010624442601090593245122733933
1553538262247649364233133246394674226283533933
1542218513007413101418581410131470031581223932
153628348171244959566886659594421718438263832
15299944477183842660393066248381774449993731
15185511664430221148424841122034466115583731
15079717488959194457181754491959884717973731
14979160897874302573878375203478798061973731
14873445346479802824747428208974643544373731
14751167803215740302767203047512308761153731
14626758048516215173585371512615840857623731
14514413016940464550545055464049610314413731
14413237593798578635616536875897395732313730
143788941919455633763673365549191498873529
142670809325081810626260181805239080763529
141638358825000179434349710005288538363529
140634943396705903366633095076933494363529
139574867921978413466643148791297684753529
138464942890399854056504589930982494643529
137364532105136497141417946315012354633529
136252951305729660829280669275031592523529
135171930908906517371737156098090391713529
1345891796526699933733999662569719853328
1333241930604180580608508140603914233327
1323224343059210540204501295034342233327
1311889803998895230603259889930898813327
1301571245685777069496077758654217513327
1291535709618861678787616881690753513327
128743107825715208338025175287013473227
127472040481695216886125961840402743227
12695785698142713505317241896587593126
12573088557361233222332163755880373126
12410970297724415636514427792079013125
1234945062538437444473483526054943025
122946942840389313139830482496492925
121946353349736762676379433536492925
120921670130754806084570310761292925
119171736816232649462326186371712924
11845262398479454454974893262542823
11743741754799239932997457147342823
11620925770074499994470077529022823
1158752885028889898882058825782723
1143741780873842124837808714732723
1133198952023678587632025989132723
1121077610994246864249901677012722
1111075271756764946765717257012722
110432318870662992660788132342622
109372649895412992145989462732622
10891331296282111282692133192521
10718467811360656063118764812521
106Prime!    18442380587898785083244812521
10518298600704979407006892812521
10410139452561969165254931012520
103663469484892984849643662319
102555824301288821034285552319
101519593011158511103959152319
100478447285970795827448742319
99472720074510154700272742319
98420014907233327094100242319
97360391093989893901930632319
96345701541695961451075432319
95341758251525251528571432319
94285276977110117796725822319
93214710209180819020174122319
92173226662537352666223712319
91156736052603062506376512319
908739548921512984593782118
892646056168586165064622117
881807662944944926670812117
871362286747274768226312117
861341325824942852314312117
851096409712521790469012117
841050868798689786805012117
83707018845115488107072017
82413179670000769713142017
8146161593080395161641916
8038844257161752448831916
7911370810020018073111915
7811184946030649481111915
778873583311338537881815
765358739166193785351815
753730198055089103731815
74706678205028766071714
73646343274723436461714
72326331961691336231714
71320004280824000231714
7050993476674399051614
6916687397793786611613
688163465556436181513
675220130203102251513
665095386668359051513
65Prime!    3979221512297931513
64451133883311541412
63172627557262711411
62143158228513411411
6178881959188871311
6066943676349661311
59Prime!    34056848650431311
5826926676629621311
5724240585042421311
5618068727860811311
5516316454613611311
5412781696187211311
533901899810931210
5256702120765119
5151113531115119
5045961216954119
4943836363834119
4839762526793119
4732442924423119
4630144644103119
4528779897782119
4428586268582119
4326896769862119
4224796974297
4124109014297
40Prime!    19008009197
3916113116197
3811991991197
379454454987
369435534987
359099990987
346743347687
33961616976
32648784676
31561416576
30248584276
29161216176
2884554865
2774994765
2666666665
2551221565
2433333365
23Prime!    9868955
229636955
21Prime!    9404955
209020955
194151454
183959354
17300343
16199143
1597933
14Prime!    78733
1362633
12Prime!    35333
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 17
A097855

L base 10

L base 17

Next > 10^40
15070942891051272017823328710272150198249074033
14966864830357074568654456865470753038468664033
1486023463473584441509690514448537436432063932
1472663764691175709952825990757119646736623932
146942538753706091936996391906073578352493831
145551218597119530846556480359117958121553831
144532095786527622732442372267256875902353831
143519607621309265780880875629031267069153831
142407968739522644569669654462259378697043831
141187277837646086076116706806467387727813831
14087528080497122803060308221794080825783731
13962982151990510660292066015099151289263730
13846236785352192031424130291253587632643730
1373655403062245406155160454226030455633629
136902769053915914227224195193509672093529
135855015579475345784875435749755105583529
134657619399007775962695777009939167563529
133493514304971517638367151794034153943529
13213074078219862909909268912870470313427
1319408116045621905750912654061180493327
1308319703939758614441685793930791383327
1298125284274436545954563447248252183327
1286040118128014265656241082181104063327
1274570034357078263936287075343007543327
1263717421251173925252937115212471733327
1253441894502670187978107620549814433327
1242101571274717174347171747217510123327
1232050209781467360506376418790205023327
1222001959893773627772637739895910023327
1211573149840174998689947104894137513327
120637749410000652992560000149477363226
119633778472676635115366762748773363226
11844146476291531707135192674641443125
11743275163896298000892698361572343125
11638189765629867232768926567981833125
11537536109338518393815833901635733125
11437353333899101242101998333353733125
11335184250120123565321021052481533125
11233917600049976929679940006719333125
11121327290731181373181137092723123125
11018102805102551363155201508201813125
10913587358295484434484592853785313125
10813265239321772515277123932562313125
1077766827224378722787342272866773025
1064174252695228800882259625247143025
105625571978118431348118791755262924
104499135767664926294667675319942924
103482024218080355530808124202842924
102285966766877679767786676695822924
101140393160260769670620613930412923
10089186552507014410705255681982823
9961607751180200002081157706162823
9856305382362379973263283503652823
9719831081974441144479180138912823
9616570556271938839172655075612823
954873798528856265882589737842722
942234100072747374727000143222722
93510009797921331297979000152621
92500263740926116290473620052621
91105633128878668788213365012621
9086496615424727424516694682521
89968614800835380084168692319
88920243570922290753420292319
87801751904360634091571082319
86787754096654566904577872319
85512984809264629084892152319
84512488287053507828842152319
83390166295687865926610932319
82284069919173719199604822319
81203452230596950322543022319
807713047357275374031772117
797461687554345578616472117
785914833586668533841952117
774480545036263054508442117
764357042887778824075342117
754169959040704095996142117
742710644286068244601722117
732385813233933231858322117
721940175710101757104912117
711134814832223841843112117
7045522046727640225541916
6925525771777177525521915
6815612031888130216511915
677635044800844053671815
663954148711784145931815
653272242077024227231815
641746703899830764711815
63854373641463734581714
62475482625262845741714
61412857017107582141714
60401019636369101041714
59292876217126782921714
58203783490943873021714
5773517550055715371613
5669052702207250961613
559652014041025691513
544066318781366041512
53190384334830911411
52147050220507411411
5142444050444241311
506508800880561210
494942800824941210
484935333353941210
4798794149789119
4691792829719119
4577991919977119
4472603630627119
4368921312986119
4258802720885119
4157431913475119
4030873037803119
392038558302108
3833592953397
3728053508297
3622923292297
3521231321297
3420837380297
3320753570297
3212445442197
3112361632197
3010359530197
2910275720197
283174471387
27883738876
26416561476
25138883175
2433553365
2325665265
2217777165
219424955
206141654
19455443
18288243
1798933
1681833
1576733
1454533
1349433
1225232
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 18
A248889

L base 10

L base 18

Next > 10^40
1737902320541902358131413185320914502320973931
1727752545328421828669096682812482354525773931
1717168036526336595819991859563362563086173931
1705363221213576926276867262967531212236353931
1695311865197836698628582689663879156811353931
1685292342977584115479397451148577924329253931
1674926007318983045833633854038981370062943931
1664685177604103454568486545430140677158643931
1652918881146143624263136242634164118881923931
1642838961939634703260806230743693916983823931
1631698611903798099657275699089730911689613931
162771139322521588940990498851252239311773831
161532463989423044740990474403249893642353831
160214444028103414250990524143018204444123830
15994135128480428284505482824084821531493730
15838333368834612748030847216438863333833730
15732449318591936390545093639195813944233730
15620348369089146051767150641980963843023729
15519612475873292530414035292378574216913729
154Prime!    16845171823281462737264182328171548613729
15313254254758820213434312028857452452313729
1528883664616596234988943269561646638883629
1518786434485050486766768405058443468783629
15063538956205793323323397502659835363427
14961130040553944988889449355040031163427
14858346139031216580085612130931643853427
14732886896064342515515243460698688233427
14630577153691507525525705196351775033427
14528130486918673234432376819684031823427
14414290921188892977779298881129092413427
1438910474222481023532018422247401983327
1427671774729037474847473092747717673327
1415879671934467988688976443917697853327
1405155048246980359695308964284055153327
1395125417978670644244607687971452153327
1385155048246980359695308964284055153327
1372143702582254506460545228520734123326
1361768938336207845054870263383986713326
1351752913631080490609408013631925713326
1341333656695972965656927959665633313326
133178307056321711441171236507038713225
132150515593882182112812883955150513225
13189575816073433111334370618575983125
13089399637220651010156022736993983125
12982622585437209636902734585226283125
12873150736161245686542161637051373125
12770925437195544676445591734529073125
12665962604974416919614479406269563125
12527661496935570636075539694166723125
1245610520483220877802238402501653024
1231149280887876444467878808294113024
122734834863873088803783684384372923
121686184641485280825841464816862923
120675906931276133316721396095762923
119664996130033824283300316994662923
118547538486217296927126848357452923
117498576541471318131741456758942923
116447811694926864686294961187442923
115437868952057245427502598687342923
114399805244655472745564425089932923
113266479445022527252205449746622923
112249683374963127213694733869422923
111164026061018185818101606204612923
110138261986640478740466891628312923
1091507613311887878811331670512721
1081247509190208380209190574212721
107851692840016776100482961582621
106295687043105555013407865922621
10546914766179030971667419642520
10442959033135494531330959242520
10337245481827020728184542732520
1027142351875344357815324172420
1014220817791544519771802242419
100581466970679760796641852319
99558704853083803584078552319
98555421577491947751245552319
97550019852699962589100552319
96513121193461643911213152319
95158486447723277446848512318
9416643471456654174346612217
9314383804519915408383412217
92Prime!    9035412154245121453092117
918030072019991027003082117
903842104986368940124832117
893833761823532816733832117
883811745691319654711832117
872851260747874706215822117
862788520014041002588722117
852542901369196310924522117
841562853208280235826512117
83414701968888691074142016
8258275803848308572851915
8158129586404685921851915
8057256008939800652751915
7950528172484271825051915
7848048096888690840841915
7734975093838390579431915
7634898555131555898431915
7533773529525925377331915
7425284680404086482521915
7325255416666614552521915
7224324269212962423421915
7123240742606247042321915
7018845844020448548811915
6911297982060289792111915
681047371655617374011814
67182456016106542811713
66112477795977742111713
6547253935539352741613
6446714313313417641613
6334967742247769431613
6215116684486611511613
614277407770477241512
603852818781825831512
59562036886302651411
58353344554433531411
5757644363446751311
5639684121486931311
5533769636967331310
5425576151675521310
53188833338881129
52Prime!    79288288297119
5169675357696119
5059388288395119
4958813031885119
4826965056962119
4714969696941119
4638719178397
45Prime!    38645468397
4438571758397
4337622267397
4232769672397
4132695962397
4022105012297
3922031302297
3819101019197
3711891981197
368884488887
355549945587
345441144587
333938839387
32Prime!    183238175
31140304175
30125452175
2998118965
2885995865
2778228765
2658338565
2526226265
246999654
234666454
222333254
21377343
20211243
19166143
1884833
1768633
1659533
1550533
1434333
1332332
1217132
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 19
A248899

L base 10

L base 19

Next > 10^40
11943436162084187901911119109781480261634344031
11843246922112826845696696548628211229642344031
11735549028658232077237732770232856820945534031
11624830094673400468130031864004376490038424031
1157514215889831274363336347213898851241573931
1144855498186663778873037887736668189455843931
1133095848317382491552625519428371384859033931
11293628630894908011060110809498036826393729
11190178082579004600060006400975280871093729
11086903098073219763131367912370890309683729
10974007866257911505676505119752668700473729
10873068277399068704242407860993772860373729
10770806998792658181121181856297899608073729
10666557121195258421191124852591121755663729
10563689690922841116313611148229096986363729
10460725882975494687999786494579288527063729
10357943622568161520565025161865226349753729
10244691824490395454737454593094428196443729
10140525374761221691222196122167473525043729
10020223824544465738919837564445428322023729
9912123044946951459030954159649440321213729
98117078016267756232326577626108707113527
9788281052063415365563514360250182883427
9652970487152319086680913251784079253427
9548757997489075645546570984799757843427
94637150230206268008626020320517363225
93416402036489606996069846302046143225
92177707288777042442407778827077713225
9165544908423520292025324809445563125
90958518995790816180975998158592923
89910783134061227221604313870192923
88902125347511737371157435212092923
87719964611771725271771164699172923
86494679711923712173291179764942923
85453748596258045408526958473542923
84309449633831792971383369449032923
83270434973144121214413794340722923
82227284143634359534363414827222923
81143584944351205021534494853412923
806621750087923532978005712662721
796546773380381018308337764562721
785610450258842824885205401652721
775062696730389698303769626052721
764288761415570607551416788242721
754088685137900100973158688042721
744021278872849894827887212042721
733081681227540904572218618032721
723007950687278587278605970032721
711322609468576867586490622312721
701066395912246064221959366012721
6912076435454313454534670212519
689971474689588598647417992419
675849128325744752382194852419
662817520124477442102571822419
6540877613684486316778042217
6432954508073370805459232217
638455908597179580955482117
628019410486668401491082117
613451882455955428815432117
60113304225775224033112015
5996111760393067111691915
5893331208151802133391915
5787051151525151150781915
5685077754909457770581915
5574011307040703110471915
5473827193989391728371915
5365100997595799001561915
5258461941565149164851915
5145021463515364120541915
5043063519292915360341915
4936956532242235659631915
48415308757578035141713
47336706751576076331713
46306769820289676031713
45218588503058858121713
44180576612166750811713
43103653168613563011713
4283286547745682381613
4127944789987449721613
4026966174471669621613
3969768626867961311
3869599262995961311
37246025520642129
36234595595432129
35139103301931129
34127673376721129
33121791197121129
3296060106069119
3187161116178119
3067269596276119
2962558085526119
2847069796074119
2786382836897
2685738375897
2566690966697
2465076705697
2346753576497
2245384835497
21Prime!    33005003397
20Prime!    15529255197
19221112275
18189798175
17Prime!    155155175
1686446865
1543223465
14177143
1383833
1266633
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 20
A250408

L base 10

L base 20

Next > 10^40
22198861684457888931417714139888754486168894031
22088489595107126386107701683621701595984884031
21988063938432824460603306064428234839360884031
21888063936700859941566665149958007639360884031
21788063558596476140485584041674695855360884031
21688063558554086200625526002680455855360884031
21566464893197193261204402162391791398464664031
21466274374600873803512215308378006473472664031
21366046219119746617736637716647911912640664031
21258987409590252348048840843252095904789854031
21158981567973998265305503562899379765189854031
21058778563009231596421124695132900365877854031
20958778544684570998020020899075486445877854031
20858569681466363942668866249363664186965854031
20758569012174635847773377748536471210965854031
20658563172243736582747747285637342271365854031
20558563157249609344657756443906942751365854031
20444048535861699400032230004996168535840444031
20344042041684073197223322791370486140240444031
20244042024194719990570075099917491420240444031
20144029587066765126534435621567660785920444031
20044029587026403831219912138304620785920444031
19936989723962621075399993570126269327989634031
19836989723120763218513315812367021327989634031
19736989343284500790317713097005482343989634031
19636755386011259814006600418952110683557634031
19514966166233754721287782127457332661669414031
19414546672059913394094490493319950276645414031
19314546655538191529388883925191835556645414031
19214540163691773973352253379377196361045414031
191373474960713670734774370763170694743733829
19015608333897258725919527852798333806513728
18915606667082825226252622528280766606513728
188123454271814746357536474181724543213527
187123454062309173668663719032604543213527
186123452141902600525250062091412543213527
185Prime!    123450097737049251529407377900543213527
184123412319739108213128019379132143213527
183123412104926277409047726294012143213527
182121992730851562792972651580372991213527
181121990686458432350532348546860991213527
18032135460578084323480875064531233124
17932135447032528121825230744531233124
17816198536102916484619201635891613124
1777142183986546600664568938124173023
1766910248767919933991976784201963023
1756910221542869477496824512201963023
174259651457121840481217541569522922
173259638001563704073651008369522922
1729629665078921612987056692692721
1719629665074979597947056692692721
1709629031244283738244213092692721
1699629031244076167044213092692721
1689608565878641514687856580692721
1679608565623157775132656580692721
1668892791295974747959219729882721
1658892791295767176759219729882721
1648892791217291719271219729882721
1638892757449411611494475729882721
1628892757449204040294475729882721
1618892757445469596454475729882721
1608892757445085558054475729882721
1598873512938606560683921537882721
1588871659956931713965995617882721
1578871659956724142765995617882721
1568871659952989698925995617882721
1558871655145284448254155617882721
1548871023001631513610032017882721
1537812532940396869304923521872721
1526440729827201010272892704462721
1515696345481855655818454369652721
1505696345238375657383254369652721
1495696345238168086183254369652721
1485696345230313931303254369652721
1475675241225453235452214257652721
1464656404033792129733040465642721
1454635997363104940136379953642721
1444614899870417471407899841642721
1434614832770834143807723841642721
1424614832770450105407723841642721
1414614227296045454069272241642721
1404280452273467876437225408242721
1394280418427516061572481408242721
1384280418423397579332481408242721
1373242431137811811873113424232721
1363242431137604240673113424232721
1353240574925706560752947504232721
1343240574925322522352947504232721
1332883243511888788811534238822721
1322881361862029692026816318822721
1312862145851279697215854126822721
1302862145686098689068654126822721
1292860286102608280620168206822721
1282841009367103030176390014822721
1272498011238330403383211089422721
1262496192028491119482029169422721
1252496192028263836282029169422721
1242496158421673537612485169422721
1232496158421238683212485169422721
1222496158256492529465285169422721
1212475090963585658536909057422721
1202475052536574847563525057422721
1192475052536367276363525057422721
1182475052536139993163525057422721
1172475052384058285048325057422721
1161822870140895459804107822812721
1151822261641949894914616222812721
1141801799275759495757299710812721
1131801730487916661978403710812721
1121801163909724442790936110812721
1111801163905989998950936110812721
1101458769256220102265296785412721
1091458769252278087225296785412721
1081458765851923732915856785412721
1071458702156459795465120785412721
1061458700464870107846400785412721
105Prime!    1458133964926062946933185412721
1041458133964542024546933185412721
1031458133799745054799733185412721
1021437665078921612987056673412721
1011437665074979597947056673412721
1001437031244283738244213073412721
991437031244076167044213073412721
981416565878641514687856561412721
971416565623157775132656561412721
961082183833718981733838128012721
9535663963942414249369366532518
9435663794174121471497366532518
931557784982199128948775512418
921557530846644664803575512418
91148218714693964178128412318
905174732083738023747152116
895170491752825719407152116
885170260723332706207152116
875170090565256509007152116
864718847999999974881742116
851058780133108785011814
84718748134318478171713
83718318952598138171713
82695175560655715961713
81695150546450515961713
80695150356530515961713
79673164237324613761713
78673164047404613761713
77673141570751413761713
76671827316137281761713
75671800871780081761713
7425336371173633521612
7325334013310433521612
721156294449265111511
711154889398845111511
701154827772845111511
691154821612845111511
681152381818325111511
671129896869892111511
661129838483892111511
651127392529372111511
641127334143372111511
631127330903372111511
62967573333757691411
61965440000445691411
60928622002268291411
59863563003653681411
58828857007588281411
57828680660868281411
56761853113581671411
55761600000061671411
54726970770796271411
53726911551196271411
52726786116876271411
51722790110972271411
50688570770758861411
49688511551158861411
48688386116838861411
47622960440692261411
46620898998980261411
45586676226766851411
44586617007166851411
43584560440654851411
42549854444589451411
41484799229974841411
40484730770374841411
39447783553877441411
38445844114485441411
37382836226382831411
36380720440270831411
35280959229590821411
34141026006201411411
33106143663416011411
32355746647553129
31355110011553129
30334843348433129
29334495594433129
281444884441108
27191919175
26Prime!    191719175
25191519175
24191319175
23178887175
22178687175
21178487175
203030354
192272254
182020254
171262154
161010154
15711743
14677643
13655643
1225232
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 21

L base 10

L base 21

Next > 10^40
19552818732724962300299992003269427237818254031
19442443837073230768543345867032370738344244030
19325269043392445267414414762544293340962524030
19223840401093928175224422571829390104048324030
19121608824859887055226622550788958428806124030
1906897971431471419862426891417413417979863930
1892058218735365417127672171456353781285023929
1882054516113263045943534954036231161545023929
1872052929313414143264046234141431392925023929
1861241448198401968271717286910489184414213929
185841827079408734453883544378049707281483829
184748727132896563625115263656982317278473829
183611901101738252922442292528371011091163829
182179253365326487834334387846235633529713829
1818611429633060199900999106033692411683628
1808333130053136306266260363135003133383628
1795000869284540539988993504548296800053627
178795410412611163175713611162140145973527
177760402639118868810188688119362040673527
176745335086693156894986513966805335473527
175672532773793513821283153973772352763527
174546651146272380049400832726411566453527
173415773746476422391932246746473775143527
172394444983412328101018232143894444933527
171391162262490375149415730942622611933527
170213874189596718811188176959814783123526
16989823613457503211112305754316328983426
16887775235359005401104500953532577783426
16784285442596139796697931695244582483426
16680499774441882551155288144477994083426
16562930139032845504405548230931039263426
16429967706797575875578575797607769923426
16328979657246104456654401642756979823426
1627755237879152256565225197873255773325
1617317742591925100100152919524771373325
1606140990426843284948234862409904163325
1596110062729487000400078492726001163325
1585885378311016947274961011387358853325
1575547986100578294049287500168974553325
1565162370671495941114959417607326153325
1555149923561404383438340416532994153325
1543552210770484078387048407701225533325
1532768813671242146164124217631886723325
1522378210859795905350959795801287323325
1512191314910780526662508701941319123325
1502030733396955592529555969333703023325
1491980047714322395259322341774008913325
1481946873241445994549954414237864913325
147268761128802517447152088211678623224
146262603930725257667525270393062623224
145248089758373133773313738579808423224
14422498070818557474755818070894223123
14321738460111060666060111064837123123
14221129415247663121366742514921123123
14120150584195926565629591485051023123
1409142556344059866895044365524193023
1399045097079504544540597079054093023
1388385243958351688615385934258383023
1376394969042551766715524096949363023
1365056201790668944986609710265053023
135824455407551991991557045544282922
134428681105187072707815011868242922
133415796116108046408016116975142922
13281112464025721127520464211182822
13136959290016675576610092959632821
13036724005609821128906500427632821
12922202113362833338263311202222821
12818301501865883388568105103812821
127877562876977227796782657782620
126634900019721221279100094362620
125298686157821441287516868922620
12485688298579808975892886582519
12363833562158393851265338362519
12262183219597404795912381262519
12160925402049848940204529062519
12059407366567313765663704952519
11923783700067424760007387322519
1186045430269822896203454062418
1174799441342677624314499742418
1164465434800777700843456442418
1154421514558677685541512442418
1144359856427688672465895342418
1132729042967577576924092722418
1122308680592222229508680322418
111440084286656566824800442318
110404299688429248869924042318
109284621785422245871264822317
108221079202975792029701222317
10780228721697796127822082217
10626611060415514060116622217
105540226597117956220452015
104534791163223611974352015
103526951193663911596252015
102320566237227326650232015
101281307920220297031822015
10048893125212521398841915
9929693862121268396921914
9827451614050416154721914
9724074318272813470421914
9622425985636589524221914
958818666122166681881814
944783036055063038741814
93997030253520307991713
92926136044406316291713
91829934419144399281713
90Prime!    783577346437753871713
89491262581852621941713
88445067403047605441713
87398232526252328931713
86382754241424572831713
85370227940497220731713
84329248681868429231713
83285900524250095821713
82235303664663035321713
81138949504059498311713
80100914959594190011713
7986287883388782681613
7863885981189588361612
7761162924429261161612
7646906385583609641612
7523693247742396321612
7422774860068477221612
738819102120191881512
723387349094378331511
712899119591199821511
702350236263205321511
692173066866037121511
682074495459447021511
671281975157918211511
66906606776066091411
65591395445931951411
64272109889012721411
6388168171861881310
6225963292369521310
61440827728044129
60303880088303129
5998157575189119
5879375957397119
5766969496966119
5654482928445119
558087337808108
546801661086108
534672002764108
524475555744108
512130880312108
501696776961107
491418668141107
481378448731107
4790053500997
4662028202697
4549022209497
4442702072497
4342348432497
4240916190497
4134037304397
4029308039297
396893398686
386722227686
376698896686
364642246486
352835538286
342562265286
33661216676
32656365676
31623332676
30397979375
29373537375
28371017375
27237973275
26184448175
2584554865
2467227665
2320330265
228797854
216111654
2098933
19Prime!    75733
1850533
1748433
1624232
158822
146622
134422
122222
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 22

L base 10

L base 22

Next > 10^40
16198191899418825031488884130528814998191894030
16095501792017806968391193869608710297105594030
15994124980928683707723327707386829089421494030
1588094159480292451952425915429208495149083929
1577385487651800840101910104800815678458373929
1566261637624734489523232598443742673616263929
1555999066089324747541214574742398066099953929
1545224465355827474549094547472855356442253929
1534916884307491934898889843919470348861943929
1522690252022280171630603617108222025209623929
15118314803531738434979434837135308413813728
15015275619375515112494211515573916572513727
1499440121038551193411439115583012104493627
1489336259772996721866812769927795263393627
1479222079793896584800848569839797022293627
1469201243580351177666677115308534210293627
1459164417724313583499438531342771446193627
144930851993966516220226156693991580393527
143912301053882214760674122883501032193527
142662248290523495137315943250928422663526
141565086428783705529255073878246805653526
140500569327475665321235665747239650053526
139337757962880423985893240882697577333526
138337716930883414123214143880396177333526
137242349657596554718174556957569432423526
136233518620036833003003386300268153323526
135121310622386175746475716832260131213526
13419416709802964494494469208907614913425
13319240078043848358853848340870042913425
13219153181376626121121626673181351913425
13119146347993292331133292399743641913425
13018863782692360759957063296287368813425
1299570801430612655955621603410807593325
1289488944123957936563975932144988493325
1279121385140869687278696804158312193325
1266895838250999465056499905283859863325
1255782538117237870107873271183528753325
1245096507462420091919002426470569053325
1234643684350676965256967605348634643325
1224105884821493936763939412848850143325
1213198198688026461816462088689189133325
1203181186677641178687114677668118133325
1193165631499339424042493399413656133325
118Prime!    1941992968546360906364586929914913325
1171829588343254797979745234388592813325
1161807047231486750105768413274070813325
11572864583865809646908568385468273123
11468881247229733666337922742188863123
11363610354770513999315077453016363123
11261671587662924474429266785176163123
11152649863688069222960886368946253123
11051349091846790424097648190943153123
10947917089015108838801510980719743123
10847914631518649959946815136419743123
10743357210375069919960573012753343123
10639101447156633393336651744101933123
10531804156909463292364909651408133123
10429299652348080313080843256992923123
10321290275739044575440937572092123123
10217952915012347404743210519259713123
101154908534325268625234358094512921
100153676267597659567957626763512921
99110993426701707071076243990112921
98109359926813968693186299539012921
9779965196620542245026691569972821
9678551014979009900979410155872821
959291192067319491376029119292721
947355279382003530028397255372721
936070066445670707654466007062720
924128780701130403110708782142720
91168182724851881584272818612619
9068711114358494853411117862519
8968614955811030118559416862519
8864845336880424088633548462519
8764481064355444553460184462519
8660476739211454112937674062519
8550027315040424040513720052519
847328477483733738477482372418
83611220876361636780221162317
82430980318287828130890342317
81340031812034302181300432317
80171813711416141173181712317
79165516198021208916155612317
78113235187654567815323112317
77112879048550558409782112317
7616394058997799850493612216
7515833791422224197338512216
7415682659088880956286512216
737082586657075668528072116
72743129965115699213472015
71726738116666118376272015
70724139717227179314272015
69720991514114151990272015
68716701869449681076172015
6772603022919220306271915
661509174422447190511813
651420540311304502411813
64958815692965188591713
63938954947494598391713
62908141478741418091713
61892332766672332981713
60890790444440970981713
59832180012100812381713
58751447576757441571713
57713609593959063171713
56192919528259192911713
55174671139311764711713
545741281418214751511
535738597479583751511
525674255955247651511
514951728682715941511
502766957275966721511
492324748884742321511
481454105350145411511
471003579797530011511
4619632323236911310
4513899242998311310
441162319132611139
4393648984639119
4277263836277119
4177185658177119
40Prime!    75293639257119
3918486568481118
381297007921107
371285665821107
3657559557597
3557523257597
3447218127497
3339908099397
3213372733197
315915519586
30510901575
29504840575
28296869275
27284648275
26240804275
25235953275
247909754
237656754
222838254
212585254
20577543
19566543
18555543
17544543
16533543
15Prime!    72733
1459533
1341432
1216132
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 23

L base 10

L base 23

Next > 10^40
14727838132211510414955559414015112231838724029
14627730554226013922578875229310622455037724029
14518383981296788539926629935887692189383814029
14411848476986194360002200063491689674848114029
1439758506378063670087278007636087360585793929
1429390844195032925323232352923059144809393929
1416452276742856291167976119265824767225463929
1403507519853384124700600742148335891570533929
1392398512960923689420902498632906921589323929
138618834619171645434004345461719164388163828
13757436945772065740484047560277549634753727
13648388872992648301383103846299278883843727
13547411201566465359666953564665102114743727
13446751571736521559444955125637175157643727
13338484194243382014797410283342491484833727
13237031630986475130525031574689036130733727
13117592543595073567414765370595345295713727
13013781306810066775525577660018603187313727
1298032120111828074566547082811102123083627
128297546201232593145413952321026457923526
127108392260722427784877242270622938013525
12699791160492434052250434294061197993425
1259285599847756885958865774899558293325
1249147850284080825652808048205874193325
1238485280000782835053828700008258483325
1227167834821986300800368912843876173325
1217158756946209654045690264965785173325
1205561983551614305350341615538916553325
1194458135536795011711059763553185443324
1182577173665932606360623956637177523324
117180345561499388228839941655430813223
116141808371520297777920251738081413223
11597422828548861333168845828224793123
11494103746164828505828461647301493123
11391623426209448848844902624326193123
11278565532811430555034118235565873123
11171937134812179494971218431739173123
11043028461654604333406456164820343123
10931143048461422636224164840341133123
108317048148262898982628418407132921
107315531071236640466321701355132921
106300269527551574751557259620032921
105299518124189935399814218159922921
104258921995161604061615991298522921
103249624066263264623626604269422921
102223232569156613166519652323222921
101181810186302499942036810181812921
100168345959688487848869595438612921
99142274536433773773346354722412921
98130839301685250525861039380312921
97584638975494884945798364852619
96570281134358998534311820752619
95314935907222992227095394132619
94302239986360110636899322032619
9399967433699232996334769992519
9263846735490767094537648362519
9145938432825000528234839542519
9027612474074101470474216722518
89983741862751572681473892317
88954196923399933296914592317
87558922078834388702298552317
86550232582713172852320552317
85546313202951592023136452317
84459223337578757333229542317
83292111377792977731112922317
82279397666863686667939722317
81167724778094908774277612317
80108134129386839214318012317
798258050965056905085282116
782435712729092721753422115
771186564698589646568112115
761102776741514767720112115
7582106656979656601281914
7448165007898700561841914
7342834646313646438241914
724879178888887197841813
713062743666634726031813
70879475244425749781713
69811574375734751181713
68754271813181724571713
67301108385838011031713
668704516861540781511
658541617371614581511
647719588688591771511
637435643334653471511
627430675257603471511
615951759595715951511
605834001710043851511
595671102220117651511
584393219191239341511
572740782728704721511
561567767676776511511
551446455355464411511
541441487278414411511
53595681111865951411
5284635080536481310
511759179719571139
501724384834271139
491372149412731139
48881274472188129
47830493394038129
46676421124676129
45638980089836129
44625640046526129
43317227722713129
4263522022536118
4161029992016118
4046405150464118
393181771813107
382266116622107
3796558556997
3694996994997
3584363634897
3428256528297
3325404045297
3219975799197
31630703675
30583638575
29511611575
28464546475
27415151475
26345454375
25191119175
24104940175
238848854
228404854
216525654
204202454
19633643
18511543
17366343
16244243
15122143
1489833
1373733
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 24
A250409

L base 10

L base 24

Next > 10^40
17396202808237856217962269712658732808202694029
17281050503676970124137731421079676305050184029
17181039178063886162475574261688360871930184029
17075624982297874387974479783478792289426574029
16975287512296551333416614333155692215782574029
16845166452344782582355553285287443254661544029
16726886551753743620090090026347357155688624029
16617526614270413150353353051314072416625714029
16517365154104730249595595942037401451563714029
164103549580241336442772446331420859453013827
16383317663699850028979820058996366713383727
16281296963036856147343741658630369692183727
16167938331404130878212878031404133839763727
16065814229995186031666130681599922418563727
15965429056875550494686494055578650924563727
15820269556457618694444496816754655962023727
157309266088915763246423675198806629033525
156309220099954541618161454599900229033525
155309038107925056412146505297018309033525
154246834340868768736378678680434386423525
153244257223770379110119730773227524423525
152242679862482986133316892842689762423525
151183182393234959706079594323932813813525
150123911395435773156513775345931193213525
14989782761080790198891097080167287983425
14871766485632678849948876236584667173425
1475280956671336271217263317665908253324
146539700616298012552108926160079353223
145417881539583054444503859351887143223
144399464188536035225306358814649933223
143347507904722712662172274097057433223
142176685681374780330874731865866713223
141126356452619608998069162546536213223
14091667302058788505887850203766193123
13991661092645468727864546290166193123
13866813403149532585235941304318663123
1375273447244132100123144274437253022
136959599914273098903724199959592921
135953331496452171712546941333592921
134938208600904917194090068028392921
133899433842305998995032483349982921
132677984390899553559980934897762921
131671408147747074707477418041762921
130656673305992831382995033766562921
129544717934409151519044397174452921
128529662444821396931284442669252921
127488068111974538354791118608842921
126438086596195188815916956808342921
125413043137407760677047313403142921
124266213490829929299280943126622921
123247587780145391935410877857422921
122137972186322456542236812797312921
12189015731259191191952137510982821
1205783797066338983366079738752720
1191350219918073537081991205312719
1181256236645146864154663265212719
117924579153353663533519754292619
116885489470017227100749845882619
115783069681170550711869603872619
11494805714135333531417508492519
11357263932882707288239362752518
11257059615535676535516950752518
11157055085949898949580550752518
1105269700301477410300796252418
1092236103675133157630163222417
108Prime!    955280990969690990825592317
107713000295946495920003172317
106144779906609066099774412317
10557204722380083227402752216
1042250481795259718405222115
103868125048558405218682015
102476209921661299026742015
101397638732222378367932015
100338476745005476748332015
9952199573010375991251914
988342917822871924381813
978308682755728680381813
967056739611693765071813
956898706466460789861813
945008072400427080051813
933515310999901351531813
923349357866875394331813
91562575119115752651713
90Prime!    378727823287278731713
8910816054450618011611
889788987878988791511
879749099299094791511
869723636963632791511
858938725552783981511
848938590509583981511
83Prime!    7266744544766271511
827206233433260271511
817092778087729071511
806684442224448661511
796494709790749461511
786494574747549461511
773798499999489731511
763520843634802531511
752964304840346921511
742948237673284921511
732790338383309721511
722735932223953721511
711089714741798011511
701063951215936011511
691003440104430011511
6852233595332251310
672084684864802139
662084226224802139
652024272724202139
641490461640941139
631318742478131139
621047699967401139
611042342432401139
60780089980087129
59686286682686129
58240745547042129
57129797797921129
56125825528521129
553032112303107
542315115132107
531516776151107
521039669301107
5198105018997
5086633366897
4976031306797
4872843482797
4749197919497
4645902095497
4541776771497
4435300035397
4331174711397
42Prime!    786568775
41765856775
40719291775
39713231775
38674747675
37628182675
36601410675
35583638575
34510301575
33492529475
32429692475
31402920475
30Prime!    367376375
29311811375
28276267275
27226762275
26220702275
25Prime!    185158175
2437447365
231363153
221262153
211101153
201000153
19855843
18699643
17622643
16466443
15233243
1457532
1352532
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 25
A250410

L base 10

L base 25

Next > 10^40
217269633448816873810660183786188443369623827
216269182866347414945335494147436682819623827
215269124811487400723003270047841184219623827
214139813535813470975665790743185353189313827
213137077560033012731881372103300657707313827
21292708376198324511747115423891673807293727
21192369766638480188676881084836667963293727
21087503423359518032282230815953324305783727
20982898941061584267777762485160149898283727
20882409572477986257424752689774275904283727
207849470326317451833381547136230749483525
206849401623675655275725565763261049483525
205849401101823297526257923281011049483525
204846331854701084610164801074581336483525
203843714736120553400043550216374173483525
202843272798602912566652192068972723483525
201843266078844509397939054488706623483525
200840644445408020175710208045444460483525
199840149498586891220221986858949410483525
198840138737626185353535816267378310483525
197797776370877905028205097780736777973525
196797265118264425693965244628115627973525
195568184510992945108015492990154818653525
194568121547327686526256867237451218653525
193565567493742403583853042473947655653525
192562439166988683160613868896619342653525
191562439160591321831381231950619342653525
19077493570158225287782522851075394773425
18962769052490946443344649094250967263425
18824542866072362315513263270668245423424
1871207341774157348184375147714370213323
1861207341279343758685734397214370213323
185Prime!    1207171120209178887190202117170213323
184730363805779767007679775083630373223
183730300781187286886827811870030373223
182633672067976442332446797602763363223
181589393990836739229376380993939853223
18062492452481465222564184254294263123
17944845973273595000595372379548443122
17844845446454840252048454644548443122
1771485244725259100195252744258413021
1761470118872843600634827881107413021
175906068407821019101287048606092921
174808671822157698967512281768082921
173804293907548949498457093924082921
172804293430561792971650343924082921
171800810810147903097410180180082921
170800365532910956590192355630082921
169706895029685204025869205986072921
168702465937002937392007395642072921
167608995993242424242423995998062921
166608943733834852584383373498062921
165608493240051950591500423948062921
164604560748523807083258470654062921
163600637967508696968057697360062921
162506665794979570759794975666052921
161506105919840327230489195016052921
160502795498063452543608945972052921
159502790329888364638889230972052921
158453908167762875782677618093542921
157453458198354363634538918543542921
156453458145033663663305418543542921
155408776181402599952041816778042921
154408268567458957598547658628042921
153408263968326044406238693628042921
152404843684723051503274863484042921
151404832607140588850417062384042921
150400904709593953593959074090042921
149359983038458400048548303899532921
148359428327817735377187238249532921
147351625059633263623369505261532921
146351175508047252527408055711532921
145351170433658235328563340711532921
144351117953283223223823597111532921
143302057550110725270110557502032921
142302005347568581858657435002032921
141208085941424371734241495808022921
140208038336289767679826338308022921
139204660404032540452304040664022921
138204618430425023205240348164022921
137204152884338308038334882514022921
136200224416691541451966144220022921
135102387535879048409785357832012921
13484548443157228822751344845482820
1336776444371845354817344467762720
1326240297397294649279379204262720
1312491136252588988525263119422719
1302491026079834843897062019422719
1291687535295084348059253578612719
1281687530576757475767503578612719
1271682932050344844305023928612719
1261682822839180208193822828612719
1251664892088012321088029846612719
12468845839175383571938548862518
1234493668400611600486639442417
1223189713796699669731798132417
1213112051552900925515021132417
120974927023691963207294792317
119823574105250525014753282317
118823522434376734342253282317
1175675811920102911857652115
1165675234469696443257652115
1155670865187278156807652115
1145613866419791466831652115
1135613811429892411831652115
1123334972096469027943332115
1113334390374147309343332115
1103303922262926222930332115
1093303869222922296830332115
1083303395530503559330332115
1073303340540604504330332115
1062897306448984460379822115
1052892301335153310329822115
1042861351109590115316822115
1032835983046264038953822115
1022835938961016983953822115
1012835414493939441453822115
1002809419584948591490822115
992804933745554733940822115
982804356765256765340822115
972804302187578120340822115
96776068037227308606772015
95625817722662277185262015
94Prime!    12727870161078727211913
93Prime!    12723987515789327211913
92Prime!    12723944979449327211913
9112628665767566826211913
9012626946434649626211913
8912626903898309626211913
88Prime!    12625852252258526211913
8712621969606969126211913
86Prime!    12621969535969126211913
8512529981525189925211913
8412529905353509925211913
8312528811171118825211913
826895600966900659861813
811099812644621899011813
80620052760672500261713
7982510187781015281612
7811341145541143111611
778581182628118581511
768542071317024581511
756599537773599561511
746069709190796061511
735077567076577051511
724046623132664041511
714046156565164041511
704007045254070041511
693093184348139031511
682597569196579521511
672558819991885521511
662558399299385521511
652519708680791521511
642067842824876021511
632062240404226021511
622028672927682021511
612023070507032021511
601566625252666511511
59899549559459981410
58893314004133981410
57619862772689161410
56280234884320821410
551678753578761139
54Prime!    1678699968761139
531678690968761139
5283895259838118
5183849694838118
5087486847897
4987438347897
4882777772897
4722345432296
468540045886
45949894975
44Prime!    949394975
43946764975
42946264975
41943634975
40943134975
39940504975
38Prime!    940004975
37898689875
36663936675
35663436675
34660806675
33660306675
32339793375
31Prime!    339293375
30336663375
29336163375
28333533375
27333033375
26330903375
25Prime!    330403375
24285958275
23282828275
2262662665
2162222665
20933943
19833843
18788743
17688643
16100143
1567633
1462633
1349432
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 26

L base 10

L base 26

Next > 10^40
15878752820550412334216612433214055028257874029
15752277857566256196094490691652665758772254029
1565243259462694673881118837649626495234253928
1554040675963783987032723078938736957604043928
1541575886520950915785258751905902568857513927
1531557325751245320930103902354215752375513927
152969800472857161951111591617582740089693827
15196514488585667464161464766585884415693727
150Prime!    90316027891561797929797165198720613093727
1491975298096327125166152172369089257913625
1481787004279954403233230445997240078713625
1471774504106630377566577303660140547713625
146712204942897392031302937982494022173525
145532005420090669257529660900245002353525
144419845550524213349433124250555489143525
143129590008399962977792699938000959213525
1423438629576093775057739067592683433323
1413177661842829922122992824816677133323
1403159731168395525752559386113795133323
1392254477581796374947369718577445223323
1381578103680697316061379608630187513323
137891236811431467117641341186321983223
136641426401489471991749841046241463223
135187834966848234004328486694387813223
134133439914480102222010844199343313222
1335534832245013633631054223843553022
1324488435899908055080999853488443021
1311976908803603722730630880967913021
130487873985624780874265893787842921
129414743988022558552208893474142921
128338207726483406043846277028332921
1277560410320467776402301406572719
1267555436280181718108263455572719
1257454372896625752669827345472719
1246711347586739293768574311762719
1235725600972440904427900652752719
1224915054440724842704445051942719
1214882621890686168609812628842719
1204213591302522922520319531242719
1191662738203800100830283726612719
1181662567581170407118576526612719
1171610617296293239269271601612719
1161112886618270807281668821112719
1151037218480490009408481273012719
114942670438812772188340762492619
113645521186319449136811255462619
112102382278066996608722832012618
1119258688168911986188685292417
1104451079388644688397015442417
1093172067346677664376027132417
1082096885275655657258869022417
107779421556414146551249772317
106271127699444449967211722316
10515306121511115121603512215
1047384158221512285148372115
1037322120308280302122372115
1027188164551115546188172115
1016730296335653369203762115
1006730223973237932203762115
996460070720202707006462115
985932373842924837323952115
975122863111111136822152115
965037215015851051273052115
954141499848284899414142115
944051241408380414215042115
933740617590109571604732115
923544696282128269644532115
912592902341914320929522115
90930281242222421820392015
8997672831787138276791914
8869960050353050069961914
8723346179121971643321913
8621623403303304326121913
8518977875686578779811913
8411390803808308093111913
8310565006595600565011913
827396087233278069371813
81951180767670811591712
80899732872782379981712
7936038307703830631611
7836035001100530631611
7735559778877955531611
7635556472274655531611
7513647851158746311611
7410093385583390011611
738897004740079881511
728892665656629881511
718732162726123781511
707387931013978371511
697222748684722271511
686125006560052161511
675207436263470251511
665123269796232151511
654205699499650241511
641798779097789711511
631060188688106011510
621034726862743011510
61924240660424291410
605404902094045139
595223922293225139
584726136316274139
574190117110914139
563693694963963139
553662197912663139
54Prime!    3610437340163139
533335051505333139
523193401043913139
513146469646413139
502183758573812139
492149753579412139
481181201021811139
471134269624311139
46185076670581128
4572728282727118
4430966666903118
436825225286107
424417777144107
412069559602107
4093324233997
3964309034697
3862626262697
3732113112397
36Prime!    31928291397
3523801083296
3421805081296
3313451543196
32982328975
31967976975
30828582875
29792429775
28653035675
27504840575
26463136475
25138783175
248434854
234919454
221898154
21Prime!    1747153
201484153
19Prime!    1333153
181070153
17900943
16822843
15744743
14411443
1398933
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 27
A250411

L base 10

L base 27

Next > 10^40
16763559984629892947208802749298926489955364028
1663958274624148388146064188384142647285933927
1653866661323858922944444922985832316666833927
1643832658061720161423432416102716085623833927
1633329135098579189811711898197589053192333927
1622806399821620551724142715502612899360823927
1612566635045105347172627174350154053666523927
1602266415560285021633533612058206551466223927
1592225778260976652970907925667906287752223927
1581763985572798177526762577189727558936713927
1571759828561459078331613387095416582895713927
1561637721180470683071017038607408112773613927
1551130684787368380506060508386378748603113927
1541079887157647817117571171874675178897013927
153745836787161463974554793641617876385473827
152673456754952669526446259662594576543763827
151480761867948640094004900468497681670843827
1506021538920864763788736746802983512063625
1493767833905659486633668495650933876733625
1482355320799322235600653222399702355323625
1471891120895289660011006698259802119813625
146976476380868184496944818680836746793525
145444264055851094169614901585504624443525
144276038705376588528258856735078306723525
143214061555740739194919370475551604123524
14246703583863212372273212368385307643424
1417809875807239293439293270857890873323
1406722588211072524542527011288522763323
1396562270329766448284466792307226563323
1384317446759105091719050195764471343323
1374081064683005965956950038646018043323
1362997679845233008780033254897679923323
1352233588124228806560882242188533223323
1341892804606110632023601160640829813323
1331555889841374758085747314898855513323
132830273534150392992930514353720383223
131275751430521565885651250341575723222
13067473844135641707146531448374763122
12940392087029580888085920780293043122
12810265449779616898616977944562013121
1278870488544718733781744588407883021
1264940579136080533508063197504943021
1253264533100885500558800133546233021
124988796953946997996493596978892921
123958722303032323232303032278592921
122822739677087241427807769372282921
121739629846149884889416489269372921
120430656876133054503316786560342921
119421640246689805089866420461242920
118277772835024597954205382777722920
1178315187275944344957278151382719
1167035798342543034524389753072719
1156483093417636863671439038462719
1144634916883805350838861943642719
1133986099838189698183899068932719
1122957103593349294339530175922719
1112264378519297879291587346222719
1101649961240194749104216994612719
1091090885053008680035058809012719
108673761145482552845411673762619
10769500120817303718021005962518
10640381179683333386971183042518
10520739779660787066977937022517
10418867471612101216174768812517
10318021604768494867406120812517
10217980598541808145895089712517
10112085484289858982484580212517
10010002389301363103983200012517
994643975643199134657934642417
98942616742041402476162492317
97Prime!    927236103841483016327292317
96860799626052506269970682317
95462509773599953779052642316
9427469832813318238964722215
9326352335802208533253622215
9216934045259952540439612215
9113827309000000903728312215
909149532255855223594192115
898278099070607099087282115
888141616351715361614182115
877033261875357816233072115
866960679193239197606962115
851830419018381091403812115
8433866944656449668331913
8330329608363806923031913
8229880463686364088921913
8129738829040928837921913
8028855669020966558821913
7928003544686445300821913
7820199239888932991021913
77Prime!    19757839797938757911913
7619059916535619950911913
7518009431292134900811913
7416536248949842635611913
739570011433411007591813
727520090744709002571813
714750847433474805741813
702958716488461785921813
69632403190913042361712
6837742733337247731611
6725338804408833521611
6612761490094167211611
659871153835117891511
649632176867123691511
638729516061592781511
628246854245864281511
615709849894890751511
606041548451406139
596014294924106139
585779540459775139
575193025203915139
565052248422505139
554806859586084139
544725972795274139
534520609060254139
524446399936444139
514280234320824139
503958336338593139
493817559557183139
482969036309692139
472904768674092139
462823881883282139
459058338509107
448417447148107
435364224635107
422487997842107
412132882312107
4083604063897
3960980890697
3821417141296
376716617686
36982728975
35946664975
34939293975
33873737875
32866366875
31757375775
30736863775
29663936675
28627872675
27554945575
26547574575
25438583475
24228782275
23119791175
226585654
211787153
201595153
191303153
18Prime!    1030153
17Prime!    91933
1683833
15Prime!    75733
1461632
1325232
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 28

L base 10

L base 28

Next > 10^40
1519912206393725859824442895852739360221993927
1509752242799475090166766109057499724225793927
1499085373117105771265556217750171137358093927
1486233860502065245662426654256020506833263927
1476058866459975037372927373057995466885063927
1465866530705142304288588240324150703566853927
1454382613934012351750005715321043931628343927
1444371289960049609068386090694006998217343927
1433206454609450675997379957605490645460233927
1422629460602072568319191386527020606492623927
1411597664562020508555555580502026546679513927
1401390685552539974188788147993525558609313927
1391344523000228427305650372482200032544313927
1389434925366245719511591754266352943493625
1376979777395087773777737778059377797963625
1366779174257680920200202908675247197763625
1353153334346922588688688522964343335133625
1343110460724435065333356053442706401133625
133947266055863035868685303685506627493525
132436800331800082873782800081330086343524
131236384964261379600069731624694836323524
130188863600837491030301947380063688813524
129139797375574144622264414755737979313524
1288694499120722975257922702199449683323
1278692444007906517771560970044429683323
1268267704741908413331480914740776283323
1257683824760605681818650606742838673323
1244760690095297225052279259009606743323
1234143351708096041114069080715334143323
1222050964970910293739201907946905023323
1211297142373357534643575337324179213323
120798274519878933883398789154728973223
119613643711627521551257261173463163222
11893542388959555080555959883245393122
11721123325470327797723074523321123121
11618566138146380424083641831665813121
11513298308743325909523347803892313121
1141444949614778633687741694944413021
113922703297651330331567923072292921
112182810413538623268353140182812920
111167365514605532355064155637612920
11081420118177289982771811024182820
10923352238910127721019832253322819
10810419765674135531476567914012819
1077878848914350705341984887872719
1065663981034734943743018936652719
1053435996520573837502569953432719
1041699080074816161847008099612719
103Prime!    1466899044849294844099866412719
1021028981336618381663318982012718
101958825470091551900745288592618
100417603485103333015843067142618
9938882483670696076384288832517
9826547167807909708761745622517
9720104418212868212814401022517
9620101706793060397607101022517
955304061879655697816040352417
941287980272044027208978212416
93507067951927291597607052316
92388692497420247942968832316
9147797176579975671797742215
9039512890572275098215932215
8939287145812218541782932215
8834858921570075129858432215
8726849045571175540948622215
869418125591419552181492115
858855640468186404655882115
848442480530203508424482115
834543917579897571934542115
821867868344344386876812115
811631219739093791213612114
80295187428778247815922014
79197996495665946997912014
7862428663252366824261913
7762154577494775451261913
7648756963565369657841913
7543800168676861008341913
7439619496090694916931913
7336010864757468010631913
7229883097515790388921913
7129184891616198481921913
7017470450848054074711913
693144350211205344131813
68202102350532012021712
6752499705507994251611
669183956965938191511
658501289398210581511
646295962426959261511
635487859395878451511
625254088288045251511
613191022622019131511
60541731441371451410
599693965693969139
588338331338338139
578332192912338139
566385093905836139
555788955598875139
544699722279964139
534120874780214139
52Prime!    3597871787953139
512636029206362139
50731212212137129
49396183381693129
48276220022672128
4789279097298118
4679124342197118
4513363136331117
4413240004231117
4311242524211117
4210549494501117
417298118927107
406175005716107
395760110675107
381538668351107
37Prime!    94714174997
3690417140997
35Prime!    77393937797
34Prime!    75158515797
3371175711797
3250059500597
3142777772496
3016104016196
291049940185
28Prime!    932423975
27878887875
26700300775
25660106675
24623132675
23569596575
22297279275
212080253
201696153
191525153
181040153
17633643
16577543
1569632
1446432
1323232
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 29

L base 10

L base 29

Next > 10^40
15220930001923635912853358219536329100039024027
15118213792443489543672276345984344297312814027
1508291220942725670404140407652724902219283927
1497312711741840876288688267804814711721373927
1486707627978605406385158360450687972670763927
1474599977184220494894549849402248177999543927
1464070757288947395353635359374988275707043927
1452348183900701297860006879210700938184323927
1441633596518024862415151426842081569533613927
14334036167653241973333379142356761630433725
14233453852449855772646277558944258354333725
14132603975388385705676507583883579306233725
14031956606975493031848130394579606659133725
13929813319680466910444019664086913318923725
13826580047670735883717388537076740085623725
13725355668958393924555429393859866553523725
13620562845528402428626824204825548265023725
13515314382437832264545462238734283413513725
13412916019456817696999696718654910619213725
13312464446352798346949643897253644464213725
13212026170698880908767809088896071620213725
1318969931511361337366373316311513996983625
1308618495555815804277240851855559481683625
1296344209450401798999989710405490244363625
1286255258712731798866889713721785255263625
1274984377415199746688664799151477348943625
12624595482469283700007382964284595423423
12517589832726637164461736627238985713423
1249191704368415082928051486340719193323
1238225860690334287578243309606852283323
1227547513016455363836355461031574573323
1216969963982322826862822328936996963323
1205615950378830630303603887305951653323
1195223262921531742824713512926232253323
1184316607795939623332693959770661343323
1173385978944854356965345844987958333323
1163353359367670656165607676395335333323
1152908710941899368086399814901780923323
11442175244606196000691606442571243121
11340920824687413434314786428029043121
11239896213212740222047212312698933121
11136338764243546151645342467833633121
11033373981784347606743487189373333121
10929545751321548101845123157545923121
10826394557704332494233407755493623121
10724989980426034545430624089989423121
10618301641373026999620373146103813121
1058484710405885988958850401748483021
1045225721778494477449487712752253021
1034895137437204588540273473159843021
10250680398100406604001893086052819
10140469976891564465198679964042819
10022637954601085580106459736222819
9914686762844822228448267686412819
987001153837448384473835110072719
976383808707965656970780838362719
964134914235238583253241943142719
953887681537169196173518678832719
943210871968663336686917801232719
932575211942029292024911257522719
9253709040464101464040907352517
9149099926806686608629990942517
9029602673913989319376206922517
8925640842094868490248046522517
8820637032262393262230736022517
8713135507530898035705531312517
8611682531788919887135286112517
858026376255488455267362082417
8476254758837738857452672215
8364824165282282561428462215
8262029385060060583920262215
8142209628012210826902242215
8032314490596695094413232215
7915175972244442279571512215
789311380247174208311392115
777181900619591600918172115
766994647012121074649962115
756325544521612544552362115
7496979977656779979691913
7385246862151268642581913
7283716248404842617381913
7183211042656240112381913
7065529203737302925561913
6964299560232065992461913
6844039980323089930441913
6736246098080890642631913
6633512971181179215331913
6518183088212880381811913
647608049299294080671813
63Prime!    116968092908696111711
6274239329923932471611
6152684690096486251611
6026587679976785621611
5912102077020121149
589852537352589139
578991895981998139
568939482849398139
558775005005778139
548511759571158139
538361888881638139
527696190916967139
51Prime!    7066183816607139
507040427240407139
496975552555796139
486127372737216139
475634774774365139
465060470740605139
454870236320784139
444240229220424139
434022056502204139
42Prime!    3957181817593139
413301418141033139
40Prime!    3000234320003139
392440776770442139
38Prime!    1145071705411139
3715865056851117
3615700600751117
3514914241941117
3414698289641117
3314533833541117
325983223895107
315255225525107
304771771774107
294043773404107
2869325239697
27991119975
26953735975
25852525875
24Prime!    795859775
23713931775
22707870775
21623332675
20617271675
19516061575
18465456475
17459395475
16358185375
151919153
14177143
13Prime!    92933
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 30

L base 10

L base 30

Next > 10^40
15570002590368102997757757799201863095200074027
15466780731515656921523325129656515137087664027
15335456798316460659146641956064613897654534027
15234874763026807865314413568708620367478434027
151126943788587742424774242477858873496213826
15081320909083007530080035700380909023183725
14981261614168887796828697788861416162183725
14880646300101277754575457772101003646083725
14779012234260618596818695816062432210973725
14678337622470299390363093992074226733873725
14577754236192227497282794722291632457773725
14477753177125754105212501457521771357773725
14377723720562740206424602047265027327773725
14242107030985341655131556143589030701243725
14141463323935990799343997099539323364143725
14039242336124330436434634033421633242933725
13939212879846836613999316638648978212933725
13838504611473919977343779919374116405833725
137843705252048533296923358402525073483524
136714622757398072859582708937572264173524
135631334137403277963697723047314331363524
134619935394618799545459978164935399163524
133550980953533976236326793353590890553524
132539443030100548333338450010303449353524
131537644609923689496949863299064467353524
130458069151674745318135474761519608543524
129456235249702449001009442079425326543524
128340531879918212699962128199781350433524
127328067336251008729278001526337608233524
126246841255620697011107960265521486423524
125211481443956814066604186593441841123524
12491384719823768879978867328917483193423
12389912682284404331133404482286219983423
12289881946651488583385884156649188983423
12189881907494287836638782494709188983423
12088143711216501653356105612117341883423
11946624048067234020020432760840426643423
1182361715125948031213084952151716323322
1172325783375804634243640857338752323322
1161210411654604088588040645611401213322
1151153595980520618181602508959535113322
114972830061592962332692951600382793222
113789765827278622002268727285679873222
112788736111124134224314211116378873222
111669959088267526556257628809599663222
11055641609159616232616951906146553121
10955604860408064383460804068406553121
10855568944514057656750415449865553121
10754852342451363040363154243258453121
10654812930628504666405826039218453121
10553989060779158434851977060989353121
10449612755732398151893237557216943121
10349611491116162747261611194116943121
10249538742212281969182212247835943121
10149537477698591989195896774735943121
1001372886139416055061493168827313020
99251941358317172717138531491522920
98236963810105743475010183696322920
97147931944328905098234491397412920
9665656597651880088156795656562819
9563904933851896698158339409362819
9461994068689635536986860499162819
933039392124154645142129393032718
921500313191181618119131300512718
91286357989086226809897536822618
90153285500983443890055823512618
8980878535237434732535878082517
8880786628112727211826687082517
8780785013070333070310587082517
8676859817270242072718958672517
8576814406914595419604418672517
8476769581448646844185967672517
8374880254616191616452088472517
8274878299985474589992878472517
8174831266838838838662138472517
8074790126848676848621097472517
7974789682344232443286987472517
7873774547274050472745477372517
7773774547218252812745477372517
761605791585299258519750612416
751604117263277236271140612416
7492056684133331486650292215
732037911613631611973022114
722131216899861213121812
712129370099007392121812
70126021958591206211711
695095666266659051510
684870351715307841510
672393180808139321510
662388925452988321510
6514313300331341149
64Prime!    1201117111021139
631201109011021139
6216004240061117
6115826462851117
6015599599551117
5915583138551117
5815347274351117
572134994312107
562127777212107
551142992411107
5463788873696
5329687869296
521743347185
51317871375
50316161375
49240204275
48229392275
47228582275
46227772275
45226962275
44210201275
43150105175
42139293175
41138483175
40Prime!    120102175
39Prime!    109290175
38108480175
3773553764
362060253
352030253
342000253
331979153
321949153
311919153
301898153
29Prime!    1060153
28Prime!    1030153
271000153
26711743
25600643
24522543
23444443
22411443
21333343
20300343
19255243
18222243
17177143
16144143
15111143
1486832
1343432
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 31

L base 10

L base 31

Next > 10^40
15188058889034100901916619109001430988850884027
15051543706718033145723327541330817607345154027
14939800617604324727910019727423406716008934027
14839283190980166262132231262661089091382934027
14710597314408991974480084479199804413795014027
1462114531279988322267976222388997213541123926
14585966381318495291121192594813183669583725
14471273579478933161131161339874975372173725
14357209039243170609313906071342930902753725
142276486995594968041408694955996846723524
141191954421071307064607031701244591913523
140183722659816027386837206189562273813523
139164748931551533090903351551398474613523
138156375640960362456542630690465736513523
13779873794512623486684326215497378973423
13667294873756329148841923657378492763423
13565182245580957601106759085542281563423
13446189320164207684486702461023981643423
13318785180837072412214270738081587813423
1329709499204841002220014840299490793323
1312998273288606907070960688237289923322
130116497988629730990379268897946113221
12999069049312781808187213940960993121
12895721733560694272496065337127593121
12790690689553433484334355986096093121
12676671470540846717648045074176673121
12570369432607047414740706234963073121
12457411518250896989698052815114753121
12357285875320489000984023578582753121
12246113502145125080521541205311643121
12133624923531669484966135329426333121
1208422080278989877898987208022483021
119823538711052014102501178353282920
118212360571781170711871750632122919
117165740566226395936226650475612919
116109404939250274720529394049012919
115102924491253224223521944292012919
11472355561270526625072165553272819
11360553506336848848633605355062819
11217486148368270072863841684712819
11110193119599612216995911391012819
1109698513888066366088831589692719
1099221676547215551274567612292719
1087900992770887678807729900972719
1077634150270394449307205143672719
1062158432705391119350723485122718
10592491232871151178232194292517
10476579673357979753376975672517
10374284298322707223892482472517
10258962041418686814140269852517
10156103455933363339554301652517
10053417027614717416720714352517
9938165437511828115734561832517
9826337043111060111340733622517
9714134398607424706893431412517
9610923824972626279428329012517
95140947504468644057490412315
94115879018151518109785112315
9374020258632236852020472215
9251255854909909458552152215
9144629302495594203926442215
909390994905550949909392115
896735878584648587853762114
886378062117971126087362114
872511697818281879611522114
86203601295335921063022013
85114508475445748054112013
8495179041040140971591913
8394594846616648495491913
8292709922606229907291913
8184328141515141823481913
8080927343222343729081913
7980177025747520771081913
7878793716949617397871913
7768527011848110725861913
7655978727262727879551913
7540774872898278477041913
7434675009000900576431913
7327475309353903574721913
7218285212989212582811913
7112271454989454172211913
70422692422242962241712
69241917834387191421711
68237625580855267321711
67152945340435492511711
6699175280082571991611
6587447404404744781611
64Prime!    9610308580301691511
638312082028021381511
626733179497133761510
616351806160815361510
606161974747916161510
5919350999905391149
5818508300380581149
57Prime!    9115199915119139
569028337338209139
558760465640678139
548605751575068139
537707170717077139
527511392931157139
517225198915227139
507138336338317139
493406192916043139
4817039593071117
47Prime!    11819991811117
461551551551107
4596190916997
4484425244896
436520025686
426399993686
412390093285
401333333185
39915151975
38903030975
37Prime!    769696775
36757575775
35745454775
34638383675
33626262675
32614141675
31602020675
30468686475
29349494375
28337373375
27Prime!    325252375
26313131375
25301010375
248636854
234070454
222979254
212383253
202262253
192141253
182020253
17Prime!    1989153
161868153
15Prime!    1747153
14744743
13155143
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 32
A099165

L base 10

L base 32

Next > 10^40
21887433194688157340397793043751886491334784027
21773069812284948111378873111849482218960374027
21610895768798298923862268329892897867598014026
21510686043218608838960069838806812340686014026
2147311057532100656940204965600123575011373926
2131580307351623365299099256332615370308513926
212796317412356113957777593116532147136973826
211396922526889322882112882239886252296933825
210213780945074927723443277294705490873123825
20985933542471718957979759817174245339583725
20883483534943505592777295505349435384383725
20779129710178636432686234636871017921973725
20677872693135674219060912476531396278773725
20565175662200070228232822070002266571563725
20451962028490206965595569602094820269153725
20326750043394023206727602320493340057623725
20211484611982678134050431876289116484113724
2019918319726403264100146230462791381993624
2009034613140061581022018516004131643093624
1996906043383403525711752530438334060963624
1983936957377534175699657143577375963933624
1972892246849778008211280087794864229823624
1962609488338560913933931906583388490623624
1951316749141343853933935834314194761313624
194377722998641828890988281468992277733523
193Prime!    168838120418733670763378140218388613523
192129491877000379113119730007781949213523
191123733012261114019104111622103373213523
190123525272528412088802148252725253213523
18926779592694412619916214496295977623423
18814247552777716542245617777255742413423
18712012748987634847748436789847210213422
1868450158648669013231096684685105483322
1857186766571373613831637317566768173322
1846081207458703897679830785470218063322
1833056469392911164946111929396465033322
1821335373619090425452409091637353313322
181285286309209619119169029036825823221
180193546293781130220311873926453913221
179193371153974056666504793511733913221
178191261958523344554433258591621913221
17781141195951399393993159591141183121
17661920715570681161186075517029163121
17561160151728917151719827151061163121
17438292583910709707907019385292833121
17338216566176729333927671665612833121
17228803170071212444212170071308823121
17128699929336645898546633929996823121
17026146374040446878644040473641623121
16918271208585461555164585802172813121
1688973003873953588535937830037983020
1678931049258980122108985294013983020
1664847766666460533506466666774843020
1653913716516920888802961561731933020
1643911691357927122172975319611933020
1631525264652430811803425646252513020
1621379074586635200253668547097313020
161754578957687426247867598754572920
160387498211920379730291128947832919
159342146320583745473850236412432919
158191434784531482841354874341912919
157166301768369098909638671036612919
156162580648609029209068460852612919
1555060742554571017545524706052718
1543727012030343534303021072732718
1533590997522847774822579909532718
152526030596916886196950306252618
151385785683838888383865875832617
150225794947549009457494975222617
149137057327322222237237507312617
148137038357352112537538307312617
14736507723475373574327705632517
14628210894757999757498012822517
14526564553152505251355465622517
14426541937255060552739145622517
14316946418347575743814649612517
1426161494651500515649416162416
1415900756252733725265700952416
1404841422933177133922414842416
1392626759141744714195762622416
1382451201344077044310215422416
1371373362146900964126337312416
136323150087515157800513232315
135291977164989894617791922315
134264140017923297100414622315
133237722697010107962277322315
132162371792979792971732612315
131135571549977799451755312315
130133235592718172955323312315
12993238723066660327832392215
12838024218108801812420832215
12711732756817718657237112214
12611565249672276942565112214
1258342178512521587124382114
1247209537880108873590272114
1237207045436563454070272114
1221898972625052627989812114
1211181916009990061918112114
120812984514664154892182014
119524139120660219314252014
118503857371331737583052014
117501939427227249391052014
116233980549779450893322013
11558883617333716388851913
11446501112585211105641913
11328089273242372980821913
11224490801292108094421913
1117760169122196106771812
1105712592177129521751812
1094657075711757075641812
1083307749455494770331812
1071124744433444742111812
106854919303039194581712
105333039357539303331711
104276305118115036721711
103274296432346924721711
102274021114111204721711
101Prime!    176247019107426711711
100170961718171690711711
99147779358539777411711
98131778850588771311711
97Prime!    131503532353051311711
96Prime!    108947113117498011711
95106039620269306011711
94104780157510874011711
93102638063608362011711
9234226692296622431611
9128699606606996821611
9022971582285179221611
8912787466664787211611
8810320780087023011610
8724916011061942149
8617438700783471149
8510641522514601149
848867028207688139
838842552552488139
828825076705288139
816886033306886139
805842794972485139
795806855586085139
784462757572644139
771462999992641139
761232143412321139
75935448844539128
74846261162648128
73691647746196128
72494889988494128
71444036630444128
70421833338124128
6934318181343117
6818884748881117
6714311211341117
6610269296201117
6510261916201117
648804774088107
636806006086107
623403003043107
612880990882107
601219669121107
5998376738996
5893390933996
5738891988396
563747747386
552980089285
542577775285
532149941285
522103301285
511825528185
50986768975
49980208975
48965856975
47840704875
46688288675
45667376675
44548784575
43542224575
42423632475
41382528375
40263936275
39125152175
3891221964
3780440864
3678008764
3571771764
3467227664
3360990664
3258558564
3156446564
3047777464
2936996364
285494554
273222353
262969253
252101253
24Prime!    1989153
231595153
22944943
21688643
20544543
19288243
18144143
1785832
1636332
159922
146622
133322
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 33

L base 10

L base 33

Next > 10^40
15420721472627762021484484120267726274127024026
1532324913764397096242124269079346731942323926
1522104006079530465680508656403597060040123926
151624597281463868719229178683641827954263825
150320036202472117503113057112742026300233825
149311582642211111574004751111122462851133825
148309640173325159687667869515233710469033825
14787480138405384335878533483504831084783725
14673778837976959889545988959679738877373725
14560730568592613104797401316295865037063725
14454419990652764020545020467256099914453725
14332565784343941044292440149343487565233725
14225863542939992724353427299939245368523724
141723727508001731058501371008057273273523
140671347974404437838387344044797431763523
139671005061902420759570242091605001763523
138590677839998066931396608999387760953523
137550233637650939966699390567363320553523
136539719792605136710176315062979179353523
135482672889957192041402917599882762843523
134418109386482139556559312846839018143523
133345817266121750204020571216627185433523
132287494938146503535353056418394947823523
131279902430256425045405246520342099723523
130253006476822725207025272286746003523523
129246618067475296637366925747608166423523
128239515308112911235321192118035159323523
127238541984920596734376950294891458323523
126184707108519811220221189158017074813523
125167695720030501672761050300275967613523
1248160055157605412021450675155006183322
1232813671500313215951231300517631823322
122535211035180123443210815301125353221
121532205608028053113508208065022353221
120531940767546466446646457670491353221
119273761545299988008899925451673723221
118266271127276889559886727211726623221
117263833040737151881517370403383623221
11695677686117219262912711686776593121
11583957385310485222584013583759383121
11475422999222653838356222999224573121
11369303490135361262163531094303963121
11233826224316486050684613422628333121
11132188328240947131749042823881233121
11025225249515954262459515942522523121
109688503624586504056854263058862919
108636550977937265627397790556362919
107625164047360290920637404615262919
106579589347061344431607439859752919
105577907002226380836222007097752919
104568849059338552558339509488652919
103539587405564646464655047859352919
102476134794127788877214974316742919
101461744631823260623281364471642919
100437075565881091901885655707342919
99435075540584713174850455705342919
98435029865894919194985689205342919
97427973556979169619796553797242919
96369166575713192913175756619632919
95320680064975187815794600860232919
94290435916417181817146195340922919
93230306363458207028543636030322919
92190102183339025209333812010912919
91183129076888581858886709213812919
90156131767427810187247671316512919
89120883578605599955068753880212919
882140720704665556640702704122718
87453353041099119901403533542617
86231176878437117348786711322617
85217993765879009785673997122617
8441545916338444833619545142517
8326614232343121343232416622517
82621490487382837840941262316
81581383916350536193831852315
80504665651117111565664052315
79473954812486842184593742315
78413556766602066676553142315
77311310917334337190131132315
76211715631624261365171122315
75204017851840481587104022315
74189513441798971443159812315
73187654673715173764567812315
72Prime!    153720829145419280273512315
71114606550721270556064112315
708226936241614263962282114
696684751970207915748662114
686570923486168432907562114
67382309112002119032832013
66375388983553898835732013
65194094024444204904912013
64187839544334459387812013
6394587212565212785491913
6266020415969514020661913
6147925193414391529741913
6037676937323739676731913
5934193149939941391431913
5830726109818901627031913
57498241857581428941711
56493988170718893941711
55439020615160209341711
54391909250529091931711
53262931124211392621711
52243611125211163421711
51224357127217534221711
50192557580857552911711
496813218781231861510
487087281827807139
475239168619325139
463298767678923139
453125102015213139
442957779777592139
432908060608092139
422736923296372139
4140909290904117
4030817071803117
3928681818682117
3812483938421117
3761078701696
362681186285
352621126285
341411114185
33901210975
32719291775
31654545675
30515351575
29450605475
28311411375
27236963275
26Prime!    182028175
25129492175
2442112464
2341551464
2240990464
213121353
202989253
192444253
181909153
171767153
161222153
151070153
1464632
1327232
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 34

L base 10

L base 34

Next > 10^20
73748508903223098058472013
72491160200220020611942013
71403296544884456923042013
70361205289669825021632013
69137388926116298837312013
68134649664994669464312013
6749803542000245308941913
6630682657898756286031913
65666185800085816661711
64663871325231783661711
63633445758575443361711
62627039920299307261711
61573605314135063751711
60519145914195419151711
59465711308031175641711
58428053215123508241711
57415967430347695141711
56299742378732479921711
55267122761672217621711
54117273276723727111711
53Prime!    113765454545673111711
5278941676676149871611
5161730611116037161611
5036304571175403631611
4930330807708033031611
4843649088094634149
479950190910599139
469326196916239139
455641401041465139
444048267628404139
4343590509534117
4235793239753117
4130632523603117
4030268686203117
3928185658182117
3822835253822117
3718319091381117
366447777446107
355086996805107
344601881064107
3352586852596
323150051385
312962269285
30863236875
29806660875
28744644775
27502020575
26296769275
253828353
243212353
233161353
222848253
212797253
202181253
19Prime!    1606153
18Prime!    1555153
17911943
16255243
1559532
1452532
133321
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 35

L base 10

L base 35

Next > 10^20
86808040509559050408082013
85769926787117876299672013
84765057562332657505672013
83480058958008598500842013
82263591762002671953622013
8177944037404730449771913
8077759131262131957771913
7977364569393965463771913
7876754595131595457671913
7774588190333091885471913
7673772397676793277371913
7573602199959991206371913
7470620448262844026071913
7363863835828538368361913
7261874328444823478161913
7121925485999584529121912
708407961199116970481812
698019497611679491081812
68949353582853539491711
67949128153518219491711
66945063627263605491711
65941540528250451491711
64Prime!    759308887888039571711
63751380567650831571711
62751138279728311571711
61565848148418485651711
60565281227221825651711
59561201752571021651711
58409169913199619041711
57405439933399345041711
56Prime!    379641601061469731711
55Prime!    375895068605985731711
54215486853586845121711
53211756873786571121711
52185716253526175811711
51177317137317137711711
50173020236320203711711
492321316961312321510
482170305050307121510
4730869533596803149
4628165944956182149
45Prime!    9710780870179139
449638309038369139
438703990993078139
422121358531212138
412102654562012138
4069497279496118
3956028182065117
3855972827955117
3755964546955117
3634145054143117
35Prime!    33842924833117
3433834643833117
3323780308732117
3223772027732117
3112599199521117
309166226619107
292692296285
28Prime!    188188175
276555654
266303654
254252453
243464353
232767253
222161253
211979153
201464153
191373153
18399343
17266243
16133143
1582832
1425232
133321
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 36
A250412

L base 10

L base 36

Next > 10^20
98898117561881657118982013
97891287181001817821982013
96683327227337227233862013
95406850607447060586042013
94217837188228817387122013
9350564223595322465051913
9224765075909570567421912
918544041855814044581812
908392561866816529381812
891169798066089796111811
88773051714171503771711
87707018033308107071711
86706498676768946071711
85705461802081645071711
84669346184816439661711
83576735101015376751711
82508136249426318051711
81465249374739425641711
80464212500052124641711
79139068150518609311711
7858049861168940851611
773890040004009831510
763614008480041631510
753432014541023431510
7485582866828558149
7367743488434776149
7232866755766823149
7128420977902482149
7025120399302152149
693955010105593139
682402398932042138
671679755579761138
6673533033537117
6571904040917117
6466516061566117
6366394149366117
6261664946616117
6159552225595117
6056276967265117
5956102620165117
5854647974645117
5749931613994117
5644596069544117
5537579097573117
5437280408273117
5327958485972117
5222446164422117
5195234325996
504865568485
491006600185
48948884975
47924242975
46695059675
45691819675
44592729575
43518281575
42430603475
41Prime!    331513375
40186768175
39130103174
3898778964
3774114764
3615995164
354222453
343797353
333606353
323343353
31Prime!    3080353
302111253
291949153
281686153
271232153
26511543
25288243
24144143
23122142
2299932
2188832
2077732
1966632
1855532
1744432
1633332
1522232
1411132
133321
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011

Index Nr

Also palindromic
in base 37

L base 10

L base 37

Next > 10^40

Index Nr

Also palindromic
in base 38

L base 10

L base 38

Next > 10^40

Index Nr

Also palindromic
in base 39

L base 10

L base 39

Next > 10^40

Index Nr

Also palindromic
in base 40

L base 10

L base 40

Next > 10^40

Index Nr

Also palindromic
in base 41

L base 10

L base 41

Next > 10^40

Index Nr

Also palindromic
in base 42

L base 10

L base 42

Next > 10^40

Index Nr

Also palindromic
in base 43

L base 10

L base 43

Next > 10^40

Index Nr

Also palindromic
in base 44

L base 10

L base 44

Next > 10^40

Index Nr

Also palindromic
in base 45

L base 10

L base 45

Next > 10^40

Index Nr

Also palindromic
in base 46

L base 10

L base 46

Next > 10^40

Index Nr

Also palindromic
in base 47

L base 10

L base 47

Next > 10^40

Index Nr

Also palindromic
in base 48

L base 10

L base 48

Next > 10^40

Index Nr

Also palindromic
in base 49

L base 10

L base 49

Next > 10^40

Index Nr

Also palindromic
in base 50

L base 10

L base 50

Next > 10^40

Index Nr

Also palindromic
in base 51

L base 10

L base 51

Next > 10^40

Index Nr

Also palindromic
in base 52

L base 10

L base 52

Next > 10^40

Index Nr

Also palindromic
in base 53

L base 10

L base 53

Next > 10^40

Index Nr

Also palindromic
in base 54

L base 10

L base 54

Next > 10^40

Index Nr

Also palindromic
in base 55

L base 10

L base 55

Next > 10^40

Index Nr

Also palindromic
in base 56

L base 10

L base 56

Next > 10^40

Index Nr

Also palindromic
in base 57

L base 10

L base 57

Next > 10^40

Index Nr

Also palindromic
in base 58

L base 10

L base 58

Next > 10^40

Index Nr

Also palindromic
in base 59

L base 10

L base 59

Next > 10^40

Index Nr

Also palindromic
in base 60
A262069

L base 10

L base 60

Next >10^20
88192606056336506062912011
87191091392332931901912011
86191083060110603801912011
85129539493003949359212011
8410595114939411595011911
8310088602101206880011911
821117050288205071111810
81967916471746197691710
80948556612166558491710
79948127566657218491710
78908200113110028091710
77867560277720657681710
76846868958598686481710
75786988275728896871710
74706328655568236071710
73625761366631675261710
72444543500053454441710
71404485670765844041710
70263348503058433621710
69182781214121872811710
68182352168612532811710
676140607337060416169
665979490660949795169
654056041771406504169
644041670880761404169
632114962552694112169
622114927447294112169
611997507557057991169
601982186226812891169
591927217227127291169
581912846336482191169
571021449441201137
56872376673278127
55872322223278127
542230660322106
531486446841106
5260836380695
5160727270695
5060618160695
4960509050695
4860307030695
4758961698595
4658852588595
4558743478595
4458634368595
4358525258595
4258416148595
4145192915495
4045083805495
39Prime!    30196910395
3815550555195
3715534355195
3615441445195
35Prime!    15425245195
34Prime!    15332335195
3315316135195
3215223225195
3115207025195
3015114115195
2915005005195
282893398285
272623326285
261403304185
251116611184
24837273874
23279697274
2214884163
2111331163
205737553
195707553
185575553
175545553
165515553
155521
144421
133321
122221
11Prime!    1121
10911
9811
8Prime!    711
7611
6Prime!    511
5411
4Prime!    311
3Prime!    211
2111
1011












led Base 2 led Messages led

Palindromes in bases 2 and 10.
The main source for this table comes from the following weblink.
Binary/Decimal Palindromes by Charlton Harrison (email) from Austin, Texas.
See also Sloane's sequences A007632 and A046472.

" I just finished writing a distributed client/server program for finding these numbers, and I currently
have it running on 4 different machines at the same time and I'm finding them A LOT faster. That's how
I was able to come up with those new ones. I'd say there are more to come in the near future, too."

[ December 1, 2001 ]
Charlton Harrison once found this record binarydecimal palindrome
110 0010111100 0010101010 1101000011 1010000010
0000101110 0001011010 1010100001 1110100011

7475703079870789703075747
The binary string contains 83 digits !


[ April 11, 2003 ]
Dw (email) wrote me the following :

"Using a backtracking solver, I have found larger numbers.
The first of these, which is the next after the one mentioned above, is
50824513851188115831542805 (86 bit, 3*5*11*11*17*17*83*11974799*97488286319).
There are no other 86 bit double palindromes.

I also have found two 89 bit double palindromes, but I am not sure if they
are the next ones. There may be some lower ones in 89 bit (haven't searched
that space completely yet) or in 87 bit that I haven't found.

These numbers are
532079161251434152161970235 (5*29*85839676103*42748430836381)
and
552963956270141072659369255 (5*7*7*71*441607*71984077228507867)
As can be seen by their factor representation, they are all composite."


50824513851188115831542805 {26}
10101000001010100000100110101010101001100000000110010101010101100100000101010000010101 {86}

532079161251434152161970235 {27}
11011100000100000001001010010000011001110101010101110011000001001010010000000100000111011 {89}

552963956270141072659369255 {27}
11100100101100110101011000010001001111100100100100111110010001000011010101100110100100111 {89}


[ April 13, 2003 ]
Dw (email) found four new ones including the 6th double palindromic prime :
"They are, in opposite sorted order:
138758321383797383123857831 (87 bit, composite, the only 87 bit double palindrome)
390714505091666190505417093 (89 bit, prime)
351095331428353824133590153 (89 bit, composite)
795280629691202196926082597 (90 bit, composite, not sure if this is the next one)."
When asking Dw for an explanation or description in a few words
what he meant by 'Using a backtracking solver' he replied :
"A backtracking solver is one that solves a problem made up of smaller
problems by trying every one except if it knows its earlier guesses make all
later ones depending on them impossible.

For instance, if you're in a maze and know that all corridors with green
walls eventually lead to a dead end, you can turn around as soon as you find
such a wall (backtrack) if you're trying to find the exit.

The smaller problem is avoiding a dead end, and the larger one is
finding the exit.

If you want the details:

My general strategy goes that to find a double palindromic number, the
solution to its palindromic decimal representation minus its binary
representation must be zero (since they are equal).

Furthermore, you can write a decimal palindrome like 101 * a + 10 * b, where
a and b are digits. The same can be done for binary, and you end up with a
giant (linear diophantine) equation of positive decimal and negative binary factors.

The factors can then be solved, one at a time, using the extended euclidean
algorithm. These are the smaller problems.

I also have a table of maximum and minimum values for each step. That way, if
it's impossible for the binary factors left to subtract enough from the
decimal factors to get zero (or the other way around), the solver backtracks."

[ April 13, 2003 ]
Dw once found this record binarydecimal palindrome
1010010001 1101011100 1110010101 0010100001 0100000010 1000010100 1010100111 0011101011 1000100101
795280629691202196926082597
The binary string contains 90 digits !
The decimal string contains 27 digits !


138758321383797383123857831 {27}
111001011000111001101111010110010111011100111001110111010011010111101100111000110100111 {87}

351095331428353824133590153 {27}
10010001001101011010101000000110111100000100000100000111101100000010101011010110010001001 {89}

390714505091666190505417093 {27}
10100001100110001000000111100001100011000111011100011000110000111100000010001100110000101 {89}

795280629691202196926082597 {27}
101001000111010111001110010101001010000101000000101000010100101010011100111010111000100101 {90}


[ May 21, 2003 ]
Dw (email) found a new Binary/Decimal Palindrome :
"I have been trying to find a polynomial time (growth of time needed is a
polynomial of number of bits) algorithm for finding double palindromes of
base 2 and 10. I haven't succeeded yet (my backtracking solver being
exponential), but I have found some interesting things.

For one, to find double palindromes in base 2 and 8 is very simple. Each base 8
digit maps to three bits. Therefore, every double palindrome must consist
of digits who themselves are double palindromes.

For instance, 757 as well as 575 is double palindromic. (These values are 495
and 381 in decimal respectively).
5 maps to 101 in binary, and 7 to 111 in binary.

I have found 1609061098335005338901609061 (91 bits composite),
and this is the only 91 bit one. No 92 bit double palindrome exists, and
93 bits seems to require several days of searching; therefore I'm trying to
find a polynomial time algorithm as mentioned above.

Another approach could be to create a networked version (to do the search on
multiple computers), but I haven't done that yet."

[ May 21, 2003 ]
Dw once found this record binarydecimal palindrome
1 0100110010 1111101111 1100001110 1100100000
0010001000 0000100110 1110000111 1110111110 1001100101

1609061098335005338901609061
The binary palindrome contains 91 digits !
The decimal string contains 28 digits !


1609061098335005338901609061 {28}
1010011001011111011111100001110110010000000100010000000100110111000011111101111101001100101 {91}


[ June 12, 2003 ]
Dw (email) found new Binary/Decimal Palindromes :

"I rewrote my program to use another strategy at finding the numbers, and this
let me search somewhat faster. As a result, I have found binary/decimal
palindromes up to 102 bits -- broke the 100 bit barrier so to speak.

These are:

None at 92 or 93 bits.
17869806142184248124160896871 (94 bits)
19756291244127372144219265791 (94 bits)
30000258151173237115185200003 (95 bits)
30658464822225352222846485603 (95 bits)
56532345659072227095654323565 (96 bits)
None at 97 or 98 bits.
378059787464677776464787950873 (99 bits)
1115792035060833380605302975111 (100 bits)
None at 101 bits.
3390741646331381831336461470933 (102 bits)

There may be higher ones at 102 bits; I haven't completed the search there."


17869806142184248124160896871 {29}
1110011011110110001110101001000001000000000011001100000000001000001001010111000110111101100111 {94}

19756291244127372144219265791 {29}
1111111101011000000101011001100101101101100001111000011011011010011001101010000001101011111111 {94}

30000258151173237115185200003 {29}
11000001110111110100001110001010010000110100011011000101100001001010001110000101111101110000011 {95}

30658464822225352222846485603 {29}
11000110001000000010110011101000100010000101111111110100001000100010111001101000000010001100011 {95}

56532345659072227095654323565 {29}
101101101010101001110101110101101111011010100000000001010110111101101011101011100101010101101101 {96}

378059787464677776464787950873 {30}
100110001011001001110111010000000001110111000111010111000111011100000000010111011100100110100011001 {99}

1115792035060833380605302975111 {31}
1110000101010101000110001001111111101011111110110110110111111101011111111001000110001010101010000111 {100}

3390741646331381831336461470933 {31}
101010110011000001001111000000100001000111101001011110100101111000100001000000111100100000110011010101 {102}


[ June 17, 2003 ]
Dw (email) adds :

" There are no numbers for 103 bits."
[ Note : In fact there is one! See index number 97. PDG ]

[ June 17, 2003 ]
Dw once found this record binarydecimal palindrome
10 1010110011 0000010011 1100000010 0001000111 1010010111
1
010010111 1000100001 0000001111 0010000011 0011010101

3390741646331381831336461470933
The binary palindrome contains 102 digits !
The decimal string contains 31 digits !


blue Binary/Decimal Palindromes by Charlton Harrison (email) : the longest list in existence ?


[ September 30, 2015 ]
Three more stunning numbers could be retrieved from Sloane's OEIS database.
See index numbers 124, 125 & 126.

[ September 30, 2015 ]
A former record binarydecimal palindrome
100110011011011101000001000010000011000111001011100111100011101000
00101110001111001110100111000110000010000100000101110110110011001

1634587141488515712882175158841417854361
The binary palindrome contains 131 digits !
The decimal string contains 40 digits !


[ March 8, 2020 ]
Many more numbers could be retrieved from Sloane's OEIS database.
See index numbers up to 147. The record dates from the end of 2015.

[ December 30, 2015 ]
The current record binarydecimal palindrome
Search team : Robert G. Wilson v, Charlton Harrison, Ilya Nikulshin & Andrey Astrelin
11010001010011101000000001001100010000000010110001011110100100101011100110101
0101100111010100100101111010001101000000001000110010000000010111001010001011

9335388324586156026843333486206516854238835339
The binary palindrome contains 153 digits !
The decimal string contains 46 digits !


Richard Jones
Dual-base Palindromes (decimal & binary)
[ zo 21/06/2026, 3:13 ]


Submitted entries [184] up to [187] for the base 2 (binary) case.
I haven't looked at this problem for a long while -- the current record in your list are the 7 palindromes at D=55.
I can confirm that D=56 is empty of palindromes but D=57 has the following numbers:

171265652192757695823295496474694592328596757291256562171,
172998361891299508580833631575136338085805992198163899271,
502340045424300390133813486575684318331093003424540043205,
565566103094990344765405851070158504567443099490301665565

That list is exhaustive at D=57.

I'll probably get round to running D=58, 59 and 60 at some stage. Though that is the limit of tractability
short of some number theoretic breakthrough. I believe Eshed's code will do D=55 in about 3 days or so --- I have
got that down to about 10 hours. D=57 took over 40 hours -- D=58 will be similar --- D=59 and 60 will take about
8 days each --- I may or may not bother LOL - I do have a life outside of this stuff that needs my computer time.

Regards,

Richard



Richard Jones
Dual-base Palindromes (decimal & binary)
[ do 2/07/2026, 20:48 ]


Submitted entry [188] for the base 2 (binary) case.
Hi Patrick,

Here is a new monster -- a decimal binary palindrome of 58 digits
1319486966107346543235142590660952415323456437016696849131
verified dual decimal/binary palindrome.

D=58 run not finished but it is quite a ways through and so this is likely the only solution.

Regards,

Richard



Richard Jones
Dual-base Palindromes (decimal & binary)
[ do 6/07/2026, 20:48 ]


Submitted entry [189] for the base 2 (binary) case.



Richard Jones
Complete exhaustive scan of D=58 for decimal/binary palindromes
[ di 7/07/2026, 8:49 ]


Hi Patrick,

I gave you two earlier but it found another right near the end of the search.

The complete list of D=58 dual palindromes is [188][189][190]:

{1319486966107346543235142590660952415323456437016696849131, \
1698561202464250881399736183223816379931880524642021658961, \
9526542992481751283981451209119021541893821571842992456259}

Regards,

Richard



Richard Jones
More dual palindromes
[ ma 20/07/2026, 10:00 ]


Submitted entries [191] up to [196] for the base 2 (binary) case.
Hi Patrick,

I am currently running D=60 for decimal/binary -- that will be it for me on that front.

Regards,

Richard



Richard Jones
More dual palindromes
[ ma 23/07/2026, 7:42 ]


Submitted entry [197] for the base 2 (binary) case.
Hi Patrick,

D=60 had one decimal/binary palindrome.

306758574604027401406795081119911180597604104720406475857603

Regards,

Richard



Eshed Schacham
Binary-decimal palindromes
[ wo 29/07/2026, 17:24 ]


Submitted entries [198] up to [201] for the base 2 (binary) case.
Hi Patrick,

Richard's latest achievements inspired me to improve my algorithm a bit, particularly its memory consumption.
So here are the binary-decimal palindromes of decimal length 61.

Cheers,
Eshed



Richard Jones
More numbers:
[ vr 14/08/2026, 14:03 ]


Submitted entries [202] up to [204] for the base 3 case (decimal/binary).
Hi Patrick,

Eshed is on vacation and it takes him 8.5 days to do D=61/62 for decimal/binary.
And he only did D=61 and not D=62

Anyway I got it D=62 to run in 25 hours -- so here are the three palindromes for D=62:


So we have completed dec/bin to D=62

Regards,

Richard



Richard Jones
decimal/binary D=63
[ wo 19/08/2026, 18:52 ]


Submitted entries [205] up to [212] for the case decimal/binary.
Hi Patrick,

Here are the solutions for D=63 of decimal/binary palindromes.


I got it down to 55 hours. I am running D=64 at the moment.

I can do D=65 and D=66 theoretically but they will take 7 days each.

Regards,

Richard



Richard Jones
decimal/binary D=64
[ wo 19/08/2026, 23:11 ]


Hi Patrick,

D=64 is 3.5 hours into running as I type this. I'm just running into the fundamental limitations of my computer now.
D=65/66 would be 7 days each -- and I have tried every clever trick I can think of -- I have said that before and improved
things but I feel there is only so much you can do with 32 GPU cores and 64GB of RAM.

I still have T=117 and T=119 to do on ternary/binary -- anything beyond that is unlikely. I stopped decimal/ternary at
D=50 --- that is a hard case to push further as well.

As I come to the end of these palindrome searches I hope I have been of some help -- it's fun trying to push a laptop
as far as I think is possible on brute force number crunching.

Regards,

Richard



Richard Jones
decimal/ternary at D=64
[ za 22/08/2026, 7:49 ]


Submitted entry [213] for the decimal/binary case.
Hi Patrick,

D=64 had one solution:

9225661674600671492119413057030110307503149112941760064761665229

Regards,

Richard














Sources Revealed

blue Binary/Decimal Palindromes by Charlton Harrison (email) : the longest list in existence ?

Neil Sloane's "Integer Sequences" Encyclopedia can be consulted online :
Neil Sloane's Integer Sequences

I sampled the following base X palindromic numbers sequences from the table :

%N Binary expansion is palindromic. under A006995 -- Sum of digits A043261
%N Palindromes in base 3 (written in base 10). under A014190 -- Sum of digits A043262
%N Palindromes in base 4 (written in base 10). under A014192 -- Sum of digits A043263
%N Palindromic in base 5. under A029952 -- Sum of digits A043264
%N Palindromic in base 6. under A029953 -- Sum of digits A043265
%N Palindromic in base 7. under A029954 -- Sum of digits A043266
%N Palindromic in base 8. under A029803 -- Sum of digits A043267
%N Palindromic in base 9. under A029955 -- Sum of digits A043268
%N Palindromes. under A002113 -- Sum of digits A043269
%N Palindromic in base 11. under A029956 -- Sum of digits A043270
%N Palindromic in base 12. under A029957 -- Sum of digits A043271
%N Palindromic in base 13. under A029958 -- Sum of digits A043272
%N Palindromic in base 14. under A029959 -- Sum of digits A043273
%N Palindromic in base 15. under A029960 -- Sum of digits A043274
%N Palindromic in base 16. under A029730 -- Sum of digits A043275

%N Palindromic in bases 2 and 3. under A060792.
%N Palindromic in bases 2 and 10. under A007632.
%N Palindromic in bases 3 and 10. under A007633.
%N Palindromic in bases 4 and 10. under A029961.
%N Palindromic in bases 5 and 10. under A029962.
%N Palindromic in bases 6 and 10. under A029963.
%N Palindromic in bases 7 and 10. under A029964.
%N Palindromic in base 8 and base 10. under A029804.
%N Palindromic in bases 9 and 10. under A029965.
%N Palindromic in bases 11 and 10. under A029966.
%N Palindromic in bases 12 and 10. under A029967.
%N Palindromic in bases 13 and 10. under A029968.
%N Palindromic in bases 14 and 10. under A029969.
%N Palindromic in bases 15 and 10. under A029970.

%N Square in base 2 is a palindrome. under A003166.
%N Squares which are palindromes in base 2. under A029983.
%N n^2 is palindromic in base 3. under A029984.
%N Squares which are palindromic in base 3. under A029985.
%N n^2 is palindromic in base 4. under A029986.
%N Squares which are palindromic in base 4. under A029987.
%N n^2 is palindromic in base 5. under A029988.
%N Squares which are palindromic in base 5. under A029989.
%N n^2 is palindromic in base 6. under A029990.
%N Squares which are palindromic in base 6. under A029991.
%N n^2 is palindromic in base 7. under A029992.
%N Squares which are palindromic in base 7. under A029993.
%N n^2 is palindromic in base 8. under A029805.
%N n in base 8 is a palindromic square. under A029806.
%N n^2 is palindromic in base 9. under A029994.
%N Squares which are palindromic in base 9. under A029995.
%N Square is a palindrome. under A002778.
%N Palindromic Squares. under A002779.
%N n^2 is palindromic in base 11. under A029996.
%N Squares which are palindromic in base 11. under A029997.
%N n^2 is palindromic in base 12. under A029737.
%N Squares which are palindromic in base 12. under A029738.
%N n^2 is palindromic in base 13. under A029998.
%N Squares which are palindromic in base 13. under A029999.
%N n^2 is palindromic in base 14. under A030072.
%N Squares which are palindromes in base 14. under A030074.
%N n^2 is palindromic in base 15. under A030073.
%N Squares which are palindromes in base 15. under A030075.
%N n^2 is palindromic in base 16. under A029733.
%N Palindromic squares in base 16. under A029734.

%N n^3 is palindromic in base 4. under A046231.
%N Cubes which are palindromes in base 4. under A046232.
%N n^3 is palindromic in base 5. under A046233.
%N Cubes which are palindromes in base 5. under A046234.
%N n^3 is palindromic in base 6. under A046235.
%N Cubes which are palindromes in base 6. under A046236.
%N n^3 is palindromic in base 7. under A046237.
%N Cubes which are palindromes in base 7. under A046238.
%N n^3 is palindromic in base 8. under A046239.
%N Cubes which are palindromes in base 8. under A046240.
%N n^3 is palindromic in base 9. under A046241.
%N Cubes which are palindromes in base 9. under A046242.
%N Cube is a palindrome. under A002780.
%N Palindromic cubes. under A002781.
%N n^3 is palindromic in base 11. under A046243.
%N Cubes which are palindromes in base 11. under A046244.
%N n^3 is palindromic in base 12. under A046245.
%N Cubes which are palindromes in base 12. under A046246.
%N n^3 is palindromic in base 13. under A046247.
%N Cubes which are palindromes in base 13. under A046248.
%N n^3 is palindromic in base 14. under A046249.
%N Cubes which are palindromes in base 14. under A046250.
%N n^3 is palindromic in base 15. under A046251.
%N Cubes which are palindromes in base 15. under A046252.
%N n^3 is palindromic in base 16. under A029735.
%N Cubes which are palindromes in base 16. under A029736.

%N Palindromic primes in base 2. under A016041.
%N Palindromic primes in base 3. under A029971.
%N Palindromic primes in base 4. under A029972.
%N Palindromic primes in base 5. under A029973.
%N Palindromic primes in base 6. under A029974.
%N Palindromic primes in base 7. under A029975.
%N Palindromic primes in base 8. under A029976.
%N Octal palindromes which are also primes. under A006341.
%N Palindromic primes in base 9. under A029977.
%N Palindromic primes. under A002385.
%N Palindromic primes in base 11. under A029978.
%N Palindromic primes in base 12. under A029979.
%N Palindromic primes in base 13. under A029980.
%N Palindromic primes in base 14. under A029981.
%N Palindromic primes in base 15. under A029982.
%N Palindromic primes in base 16. under A029732.

%N Palindromic primes in base 10 and base 2. under A046472.
%N Palindromic primes in base 10 and base 3. under A046473.
%N Palindromic primes in base 10 and base 4. under A046474.
%N Palindromic primes in base 10 and base 6. under A046475.
%N Palindromic primes in base 10 and base 7. under A046476.
%N Palindromic primes in base 10 and base 8. under A046477.
%N Palindromic primes in base 10 and base 9. under A046478.
%N Palindromic primes. under A002385.
%N Palindromic primes in base 10 and base 11. under A046479.
%N Palindromic primes in base 10 and base 12. under A046480.
%N Palindromic primes in base 10 and base 13. under A046481.
%N Palindromic primes in base 10 and base 14. under A046482.
%N Palindromic primes in base 10 and base 15. under A046483.
%N Palindromic primes in base 10 and base 16. under A046484.

%N Palindromic primes in bases 2 and 4. under A056130.
%N Palindromic primes in bases 2 and 8. under A056145.
%N Palindromic primes in bases 4 and 8. under A056146.

%N Not palindromic in any base from 2 to n-2. under A016038.
%N Smallest palindrome greater than n in bases n and n+1. under A048268.
%N First palindrome greater than n+2 in bases n+2 and n. under A048269.
%N The first non-trivial (k>n+2) palindromic prime in both bases n and n+2. under A057199.
%N Symmetric bit strings (bit-reverse palindromes),
including as many leading as trailing zeros. under A057890.

Click here to view some of the author's [P. De Geest] entries to the table.
Click here to view some entries to the table about palindromes.


More Integer Sequences from Sloane's OEIS database

  1. A043001 n-th base 3 palindrome that starts with 1. - Clark Kimberling
  2. A043002 n-th base 3 palindrome that starts with 2. - Clark Kimberling

  3. A043003 n-th base 4 palindrome that starts with 1. - Clark Kimberling
  4. A043004 n-th base 4 palindrome that starts with 2. - Clark Kimberling
  5. A043005 n-th base 4 palindrome that starts with 3. - Clark Kimberling

  6. A043006 n-th base 5 palindrome that starts with 1. - Clark Kimberling
  7. A043007 n-th base 5 palindrome that starts with 2. - Clark Kimberling
  8. A043008 n-th base 5 palindrome that starts with 3. - Clark Kimberling
  9. A043009 n-th base 5 palindrome that starts with 4. - Clark Kimberling

  10. A043010 n-th base 6 palindrome that starts with 1. - Clark Kimberling
  11. A043011 n-th base 6 palindrome that starts with 2. - Clark Kimberling
  12. A043012 n-th base 6 palindrome that starts with 3. - Clark Kimberling
  13. A043013 n-th base 6 palindrome that starts with 4. - Clark Kimberling
  14. A043014 n-th base 6 palindrome that starts with 5. - Clark Kimberling

  15. A043015 n-th base 7 palindrome that starts with 1. - Clark Kimberling
  16. A043016 n-th base 7 palindrome that starts with 2. - Clark Kimberling
  17. A043017 n-th base 7 palindrome that starts with 3. - Clark Kimberling
  18. A043018 n-th base 7 palindrome that starts with 4. - Clark Kimberling
  19. A043019 n-th base 7 palindrome that starts with 5. - Clark Kimberling
  20. A043020 n-th base 7 palindrome that starts with 6. - Clark Kimberling

  21. A043021 n-th base 8 palindrome that starts with 1. - Clark Kimberling
  22. A043022 n-th base 8 palindrome that starts with 2. - Clark Kimberling
  23. A043023 n-th base 8 palindrome that starts with 3. - Clark Kimberling
  24. A043024 n-th base 8 palindrome that starts with 4. - Clark Kimberling
  25. A043025 n-th base 8 palindrome that starts with 5. - Clark Kimberling
  26. A043026 n-th base 8 palindrome that starts with 6. - Clark Kimberling
  27. A043027 n-th base 8 palindrome that starts with 7. - Clark Kimberling

  28. A043028 n-th base 9 palindrome that starts with 1. - Clark Kimberling
  29. A043029 n-th base 9 palindrome that starts with 2. - Clark Kimberling
  30. A043030 n-th base 9 palindrome that starts with 3. - Clark Kimberling
  31. A043031 n-th base 9 palindrome that starts with 4. - Clark Kimberling
  32. A043032 n-th base 9 palindrome that starts with 5. - Clark Kimberling
  33. A043033 n-th base 9 palindrome that starts with 6. - Clark Kimberling
  34. A043034 n-th base 9 palindrome that starts with 7. - Clark Kimberling
  35. A043035 n-th base 9 palindrome that starts with 8. - Clark Kimberling

  36. A043036 n-th base 10 palindrome that starts with 1. - Clark Kimberling
  37. A043037 n-th base 10 palindrome that starts with 2. - Clark Kimberling
  38. A043038 n-th base 10 palindrome that starts with 3. - Clark Kimberling
  39. A043039 n-th base 10 palindrome that starts with 4. - Clark Kimberling
  40. A043040 n-th base 10 palindrome that starts with 5. - Clark Kimberling
  41. A043041 n-th base 10 palindrome that starts with 6. - Clark Kimberling
  42. A043042 n-th base 10 palindrome that starts with 7. - Clark Kimberling
  43. A043043 n-th base 10 palindrome that starts with 8. - Clark Kimberling
  44. A043044 n-th base 10 palindrome that starts with 9. - Clark Kimberling
  1. A043045 a(n)=(s(n)+2)/3, where s(n)=n-th base 3 palindrome that starts with 1. - Clark Kimberling
  2. A043046 a(n)=(s(n)+1)/3, where s(n)=n-th base 3 palindrome that starts with 2. - Clark Kimberling

  3. A043047 a(n)=(s(n)+3)/4, where s(n)=n-th base 4 palindrome that starts with 1. - Clark Kimberling
  4. A043048 a(n)=(s(n)+2)/4, where s(n)=n-th base 4 palindrome that starts with 2. - Clark Kimberling
  5. A043049 a(n)=(s(n)+1)/4, where s(n)=n-th base 4 palindrome that starts with 3. - Clark Kimberling

  6. A043050 a(n)=(s(n)+4)/5, where s(n)=n-th base 5 palindrome that starts with 1. - Clark Kimberling
  7. A043051 a(n)=(s(n)+3)/5, where s(n)=n-th base 5 palindrome that starts with 2. - Clark Kimberling
  8. A043052 a(n)=(s(n)+2)/5, where s(n)=n-th base 5 palindrome that starts with 3. - Clark Kimberling
  9. A043053 a(n)=(s(n)+1)/5, where s(n)=n-th base 5 palindrome that starts with 4. - Clark Kimberling

  10. A043054 a(n)=(s(n)+5)/6, where s(n)=n-th base 6 palindrome that starts with 1. - Clark Kimberling
  11. A043055 a(n)=(s(n)+4)/6, where s(n)=n-th base 6 palindrome that starts with 2. - Clark Kimberling
  12. A043056 a(n)=(s(n)+3)/6, where s(n)=n-th base 6 palindrome that starts with 3. - Clark Kimberling
  13. A043057 a(n)=(s(n)+2)/6, where s(n)=n-th base 6 palindrome that starts with 4. - Clark Kimberling
  14. A043058 a(n)=(s(n)+1)/6, where s(n)=n-th base 6 palindrome that starts with 5. - Clark Kimberling

  15. A043059 a(n)=(s(n)+6)/7, where s(n)=n-th base 7 palindrome that starts with 1. - Clark Kimberling
  16. A043060 a(n)=(s(n)+5)/7, where s(n)=n-th base 7 palindrome that starts with 2. - Clark Kimberling
  17. A043061 a(n)=(s(n)+4)/7, where s(n)=n-th base 7 palindrome that starts with 3. - Clark Kimberling
  18. A043062 a(n)=(s(n)+3)/7, where s(n)=n-th base 7 palindrome that starts with 4. - Clark Kimberling
  19. A043063 a(n)=(s(n)+2)/7, where s(n)=n-th base 7 palindrome that starts with 5. - Clark Kimberling
  20. A043064 a(n)=(s(n)+1)/7, where s(n)=n-th base 7 palindrome that starts with 6. - Clark Kimberling

  21. A043065 a(n)=(s(n)+7)/8, where s(n)=n-th base 8 palindrome that starts with 1. - Clark Kimberling
  22. A043066 a(n)=(s(n)+6)/8, where s(n)=n-th base 8 palindrome that starts with 2. - Clark Kimberling
  23. A043067 a(n)=(s(n)+5)/8, where s(n)=n-th base 8 palindrome that starts with 3. - Clark Kimberling
  24. A043068 a(n)=(s(n)+4)/8, where s(n)=n-th base 8 palindrome that starts with 4. - Clark Kimberling
  25. A043069 a(n)=(s(n)+3)/8, where s(n)=n-th base 8 palindrome that starts with 5. - Clark Kimberling
  26. A043070 a(n)=(s(n)+2)/8, where s(n)=n-th base 8 palindrome that starts with 6. - Clark Kimberling
  27. A043071 a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7. - Clark Kimberling

  28. A043072 a(n)=(s(n)+8)/9, where s(n)=n-th base 9 palindrome that starts with 1. - Clark Kimberling
  29. A043073 a(n)=(s(n)+7)/9, where s(n)=n-th base 9 palindrome that starts with 2. - Clark Kimberling
  30. A043074 a(n)=(s(n)+6)/9, where s(n)=n-th base 9 palindrome that starts with 3. - Clark Kimberling
  31. A043075 a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4. - Clark Kimberling
  32. A043076 a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5. - Clark Kimberling
  33. A043077 a(n)=(s(n)+3)/9, where s(n)=n-th base 9 palindrome that starts with 6. - Clark Kimberling
  34. A043078 a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7. - Clark Kimberling
  35. A043079 a(n)=(s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8. - Clark Kimberling

  36. A043080 a(n)=(s(n)+9)/10, where s(n)=n-th base 10 palindrome that starts with 1. - Clark Kimberling
  37. A043081 a(n)=(s(n)+8)/10, where s(n)=n-th base 10 palindrome that starts with 2. - Clark Kimberling
  38. A043082 a(n)=(s(n)+7)/10, where s(n)=n-th base 10 palindrome that starts with 3. - Clark Kimberling
  39. A043083 a(n)=(s(n)+6)/10, where s(n)=n-th base 10 palindrome that starts with 4. - Clark Kimberling
  40. A043084 a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5. - Clark Kimberling
  41. A043085 a(n)=(s(n)+4)/10, where s(n)=n-th base 10 palindrome that starts with 6. - Clark Kimberling
  42. A043086 a(n)=(s(n)+3)/10, where s(n)=n-th base 10 palindrome that starts with 7. - Clark Kimberling
  43. A043087 a(n)=(s(n)+2)/10, where s(n)=n-th base 10 palindrome that starts with 8. - Clark Kimberling
  44. A043088 a(n)=(s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9. - Clark Kimberling
  • A016038 Strictly non-palindromic numbers:
  • n is not palindromic in any base b with 2 ⩽ b ⩽ n-2. - N. J. A. Sloane.
  • A100563 Number of bases less than sqrt(n) in which n is a palindrome. - Gordon Robert Hamilton





Contributions for base 3 and higher

Kevin Brown informed me that he has more info about tetrahedral palindromes in other base representations.
Link to his article :
point On General Palindromic Numbers thumb up

Alain Bex (email) sent me the first palindromic squares in base 12 - go to topic.

Dw (email) found several binary/decimal palindromes of record lengths - go to topic.




Richard Gosiorovsky (email)
Also Palindromic in Base 16 (OEIS A029731)
[ do 7-8/3/2024 7:33 ]


Dear Mr. De Geest,

I would like to ask you for updating the table re. numbers that are palindromic in bases 10 and 16.
I did some progress on it, and found 51 new members of the sequence. See indices 84 up to 134.
Full list of new members is in the text file in the attachment.

Thank you,

Richard Gosiorovsky, Bratislava

When I asked Richard how he achieved his results he replied:

I was inspired by Eshed Schacham's nice article:
"Finding Binary & Decimal Palindromes"

The method is useful for powers of two bases (2,4,8,16).
For now I do not plan other bases. It took me 3 days of
experimenting (programming) and 2 days of running (CPU time).

If you are interested in I am sending you my piece of code
in C language (palindrom.c) with external function in assembler
allowing multiply two 64-bit integers into 128-bit value.

Now I must go on with my real job, programming of course :)
Richard

//
//   Looking for Numbers that are palindromic in bases 10 and 16 simultaneously
//

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>

#define ull unsigned long long  // 64-bit integer

extern ull mul128(ull *c, ull a, ull b);  // mul128.asm, see here:

// mul128 PROC
// mov rax, rdx              ; rdx - 2nd argument,  r8 - 3rd argument
// mul r8                    ; multiply rax * r8 -> result = 128-bit rdx:rax
// mov qword ptr [rcx], rdx  ; rcx - 1st argument
// ret                       ; return rax    
// mul128 ENDP

inline ull reverse(ull x) { ull q, y=0;  while(x) { q=x/10;  y=10*(y-q)+x;  x=q; }  return y; }

inline int is_palind_128(ull h64, ull l64, int sh1, int sh2)
 {
   while(sh1 >= 0 ) { if ((h64>>sh1 & 0xf) != (l64>>sh2 & 0xf)) return 0;   sh1-=4;  sh2+=4; }  sh1 = 60;  
   while(sh1 > sh2) { if ((l64>>sh1 & 0xf) != (l64>>sh2 & 0xf)) return 0;   sh1-=4;  sh2+=4; }  // here we test only in lower 64-bit
   return 1;
 }

//           012345678901234567890
#define FROM 10000000000000LL
#define UPTO 100000000000000LL
#define M4   10000000000LL
#define M8   1000000
#define M12  100

int main(int argc, char *argv[])
 {
   int sh=-999, k=0;
   ull h64, l64;  // upper & lower 64-bit of palindrome

   for(ull i=FROM; i<UPTO; i++)  // i - half of palindrome
    {
      if (i%1000000000==0) printf(" %lld mld.   %d sec.  %16llx\r", i/1000000000, clock()/1000, h64);

      l64 = mul128(&h64, i/10, UPTO) + reverse(i);  // create palindrome:  i - for even symmetry,  i/10 - for odd symmetry

      if (sh==-999) { sh=60;   while((h64>>sh & 0xf)==0) sh-=4; }  // find initial shift for leading hex digit
      if (h64>>(sh+4) & 0xf) sh+=4;  // hex digit overflow happened -> increase shift

      if (i % M4 == 0) if ((h64 >>(sh   ) & 0x000f) != (l64 & 0x000f)) { i+=M4 -1;  continue; } // skip this foursome of decimal digits
      if (i % M8 == 0) if ((h64 >>(sh- 8) & 0x00f0) != (l64 & 0x00f0)) { i+=M8 -1;  continue; }
      if (i % M12== 0) if ((h64 >>(sh-16) & 0x0f00) != (l64 & 0x0f00)) { i+=M12-1;  continue; }

      // 3*4 - first/last 3 hex digits was already tested by 3 upper conditions
      if (is_palind_128(h64, l64, sh-3*4, 3*4)) printf(" %4d.  %lld  %8llx:%016llx  %d sec.\n", ++k, i, h64, l64, clock()/1000);
    }

   printf(" total time = %d sec.\t\t\t\n", clock()/1000);   getchar();
 }



Eshed Schacham's article can be found following this link:
https://ashdnazg.github.io/articles/22/Finding-Really-Big-Palindromes
As a software developer he also made public his .c code he wrote for this topic and explains the algorithm in great depth.

To my surprise he found 35 new decimal palindromes that are also palindromic in base 2 or binary.
I added them forthwith to my webpage. Please refer to indices 148 up to 183 in the very first
scrolltable of this very page. Impressive if you consider their record lengths.




Richard Gosiorovsky (email)
Dual-base Palindromes
[ do 2/5/2024 6:02 ]


Hi Patrick,

I am sending you in the attachment several
new records for dual-base palindromes:

base 10 & 3:    4 new records → From [71] to [74]
base 10 & 4:   35 new records → From [65] to [99]
base 10 & 5:  100 new records → From [84] to [183]
base 10 & 6:    9 new records → From [110] to [118]
base 10 & 7:    8 new records → From [74] to [81]
base 10 & 8:   43 new records → From [89] to [131]
base 10 & 9:    5 new records → From [71] to [75]
base 10 & 16:   9 new records → From [135] to [143]

Thank you for this interesting entertainment.

For bases 10 & 4, 10 & 8 and 10 & 16 I used practically the same method as I mentioned earlier.
For base pair 10 & 5 I used very similar method, main difference is that solutions don't fit into
128-bit (it prunes much faster) so I rewrite the code using GMP library (GNU multiple precision).

For the rest of base pairs I used optimized brute force method, where I generate all possible
palindromes in one base and check it in another one. In cases where one base is power of 2
it is pretty straightforward (just bits comparison).

In all cases (except 10 & 5) I employ possibility of Intel processor to multiply two 64-bit integers
into 128-bit value (rdx:rax) and division of this 128-bit value into quotient and remainder
(instructions mul, div).
Richard


Richard Gosiorovsky (email)
Dual-base Palindromes (bases 10 & 5)
[ do 5/8/2024 16:44 ]


Hi Patrick, Hi Eshed,

I am here again, I would like to ask you for updating dual-base
palindrome sequence A029962 (bases 10 & 5), where I found 52 new
members (in the attachement). I improved algorithm a bit, but it
is still far from optimal. Changing bases to 10 & 2 I can not
achieve Eshed's records at all. Basic idea remains the same.

Richard

PS: For better understanding I am sending the source code too
(it uses GMP - GNU multiple precision library)

/*
    Looking for numbers simultaneously palindromic in bases 10 and 5 
*/

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>

#include "gmp.h"

#define ODD 1   // 0 - even symmetry  1 - odd symmetry

#define N 24    
#define M (2*N-1)  // length of palindrome

mpz_t tmp, aux;
mpz_t D[128], P[128];  // pre-computed constants: D[i] = 10^i,  P[i] = 5^i
mpz_t e[128], h[128];  // e[] - end of palindrome,  h[] - beginning of palindrome

int d[128], m1, m2;  // 5^m = divisor for leading digit
char s[256], s1[256], s2[256];

int ispalind(char *s, int n) { for(int i=0; i<n/2; i++) if (s[i] != s[n-i-1]) return 0;  return 1; }

void init_m1(mpz_t x) { m1 = M;   do { m1++;  mpz_fdiv_q(aux, x, P[m1]); } while (mpz_cmp_ui(aux, 5) >= 0); }
void init_m2(mpz_t x) { m2 = M;   do { m2++;  mpz_fdiv_q(aux, x, P[m2]); } while (mpz_cmp_ui(aux, 5) >= 0); }

int get_digit1(mpz_t x, int i)  // get i-th leading digit of x in base 5
 {
   mpz_fdiv_q(aux, x, P[m1]); 

   if (mpz_cmp_ui(aux, 5) >=0) m1++; 
   if (mpz_cmp_ui(aux, 0) <=0) m1--; 

   mpz_fdiv_q(aux, x, P[m1-i]);
   return mpz_fdiv_ui(aux, 5);
 }

int get_digit2(mpz_t x, int i)  // get i-th leading digit of x in base 5
 {
   mpz_fdiv_q(aux, x, P[m2]); 

   if (mpz_cmp_ui(aux, 5) >=0) m2++; 
   if (mpz_cmp_ui(aux, 0) <=0) m2--; 

   mpz_fdiv_q(aux, x, P[m2-i]);
   return mpz_fdiv_ui(aux, 5);
 }

void recur(int w)
 {
   if (w==6) { for(int i=0; i<6; i++) printf("%d", d[i]);  printf("  %d\"\r", clock()/1000); }

   if (w==N) 
    {
      mpz_add(tmp, h[N-1], (ODD==0)?e[N-1]:e[N-2]);
      mpz_get_str(s, 5, tmp);
      if (ispalind(s, strlen(s))) 
       { 
         for(int i=0; i<N; i++) printf("%d", d[i]);  
         printf("  %d  %d sec.\n", ODD, clock()/1000); 
       }
      return;
    }

   for(d[w]=0; d[w]<=9; d[w]++)
    {
      mpz_mul_ui(tmp, D[w], d[w]);        mpz_add(e[w], e[w-1], tmp);
      mpz_mul_ui(tmp, D[M-w-ODD], d[w]);  mpz_add(h[w], h[w-1], tmp);

      mpz_fdiv_q(tmp, e[w], P[w]);
      int f = mpz_fdiv_ui(tmp, 5); 
                                      
      mpz_add(tmp, h[w], D[M-w-ODD]); 

      if (f==get_digit1(h[w], w) || f==get_digit2(tmp, w)) recur(w+1);
    }
 }

int main()
 {
   printf("\n N = %d   ODD = %d\n\n", N, ODD);

   mpz_init(tmp);   mpz_init(aux); 
   for(int i=1; i<128; i++) { mpz_init(D[i]);  mpz_init(P[i]);  mpz_init(e[i]);  mpz_init(h[i]); }

   mpz_set_ui(D[0], 1);   for(int i=1; i<128; i++) mpz_mul_ui(D[i], D[i-1], 10); 
   mpz_set_ui(P[0], 1);   for(int i=1; i<128; i++) mpz_mul_ui(P[i], P[i-1], 5); 

   for(d[0]=1; d[0]<=9; d[0]++)
    {
      mpz_set_ui(e[0], d[0]);  
      mpz_mul_ui(h[0], D[M-ODD], d[0]); 

      int f = mpz_fdiv_ui(e[0], 5); 
                                    
      mpz_add(tmp, h[0], D[M-ODD]); 

      init_m1(h[0]); 
      init_m2(tmp);

      if (f==get_digit1(h[0], 0) || f==get_digit2(tmp, 0)) recur(1);
    }

   printf(" total time = %d sec.\t\t\t\n", clock()/1000); 
   getchar();
 }


Richard Gosiorovsky (email)
Dual-base Palindromes (bases 10 & 5)
[ do 30/10/2025 19:01 ]


Hi Patrick,

I am sending you in the attachement 42 new members of OEIS sequence
A029962 (numbers simultaneously palindromic in bases 10 and 5).

base 10 & 5: 42 new records → From [236] to [277]

I used the same algorithm as the last time plus some optimization
and longer running time (two weeks).

Richard



Richard Jones
Dual-base Palindromes (decimal & ternary)
[ do 5/4/2026 11:50 ]


Submitted entries [75] up to [99] for the base 3 (ternary) case.
Being a number theorist, my coding skills are not exactly top level developer code.
I started looking at this problem trying to create a constructive algorithm for these numbers
as opposed to an exhaustive search approach - I am pretty sure the list I gave is exhaustive - but
I haven't proven it as of yet. R.



Richard Jones
Dual-base Palindromes (decimal & ternary)
[ do 12/4/2026 22:40 ]


Submitted entries [100] up to [110] for the base 3 (ternary) case.
A few new ones (decimal/ternary dual palindromes) all verified. R.



Richard Jones
Dual-base Palindromes (decimal & ternary)
[ do 20/4/2026 21:08 ]


Submitted entries [111] up to [117] for the base 3 (ternary) case.
This ends my search short of a number theoretic breakthrough - D=41 and 42 would just
take too long - this is a more difficult task than searching for decimal/binary where D=55
can be done in a couple of days or so. R.J.
The only one that really holds my interest is ternary/binary - also a difficult programming task -
current record has T=91 digits (T is ternary) - but Nikulshin states on OEIS they must have
checked T=93 as well. See Simultaneous palindromic in bases 2 and 3.That's actually quite
impressive since it was done over a decade ago on weaker hardware. There must be some
pruning trick I am missing though - just like him and Astrelin (now deceased) must have done
for their decimal/binary code - I know they go to 50 digits with that on old hardware - with
small memory - I know the Eshed code can run D=55 in a few days on modern hardware but that
runs into requiring tables of a large size which becomes impractical for D>55 - the Nikulshin
approach can use far smaller tables - in fact DRAM latency for large tables is a big factor in
limiting what you can do on realistic hardware. R.J.



Richard Jones
Dual-base Palindromes (decimal & ternary)
[ zo 24/06/2026, 22:00 ]


Submitted entries [118] up to [124] for the base 3 (ternary) case.
Have some new (D=41) decimal/ternary palindromes (seven).
Regards,

Richard



Richard Jones
More dual-base Palindromes (decimal & ternary)
[ zo 24/06/2026, 22:00 ]


Submitted entries [125] up to [131] for the base 3 (ternary) case.
I have finished doing decimal/ternary so that one value at D=45 is it for me -- the scaling has
finally worn out and the runs are getting too long - as I said a full D=45 run will take 11 days
which is not feasible for me.

So please note this D=45 is not an exhaustive list -- and all I can say is that the number above
is the smallest at D=45 --- I only found it because I was doing a quick run to determine
the time for a complete run and that one happened to pop out in the first 4 minutes of what
would be a 11 day run.

Regards,

Richard



Richard Jones
More numbers:
[ vr 14/08/2026, 14:03 ]


Submitted entries [132] up to [143] for the base 3 case (decimal/ternary).
Hi Patrick,

Also --- I gave you a single palindrome for decimal/ternary at D=45. I have done D=45 completely plus
D=46,47,48. (I have done D=49 and it was blank BUT there is a slight chance, which I am investigating,
that it could have missed solutions at D=49 or above so I am holding off, on declaring that finished).


So we have completed

dec/tern to D=48
and also
six/bin to S=80
tern/bin to T=115

Regards,

Richard



Richard Jones
More decimal/ternary
[ vr 16/08/2026, 14:25 ]


Submitted entries [144] up to [150] for the base 3 case (decimal/ternary).
Hi Patrick,

I did have a problem for missing solutions at D=49 and D=50 for decimal/ternary. All D up to and thru 48
were correct -- I had a parameter going silently out of bounds for D=49 and above.

All fixed now.

So instead of being empty - D=49 has 7 solutions:


But D=50 is genuinely empty. So the next solution is > 10^50

Regards,

Richard



Richard Jones
decimal/ternary
[ wo 19/08/2026, 23:11 ]


Hi Patrick,




I stopped decimal/ternary at D=50 --- that is a hard case to push further as well.

As I come to the end of these palindrome searches I hope I have been of some help -- it's fun trying to push a laptop
as far as I think is possible on brute force number crunching.

Regards,

Richard



Richard Jones
Decimal/Base X duals
[ do 3/09/2026, 15:52 ]


Hi Patrick,

I have done all the ones on your page that were not extended already by dedicated codes.

So I am attaching the solutions up to D=40 for the decimal/baseX for baseX = 4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36 and 60.

Also -- here are the primes in each list with obvious notation:




All of the solutions were verified once in Rust and once in Mathematica --- all primes were verified by the ProvablePrime package for Mathematica.

I will probably extend these to D=45 some time.

Hope this helps.

Regards,

Richard

ps

If you have any problem with these being corrupted let me know and I'll send them individualy



Richard Jones
I couldn't resist
[ do 3/09/2026, 20:26 ]


Hi Patrick,

You have that gaping hole between base 36 and base 60 that says "missing tables planned for construction in the future"

Seems like an open goal for bases 37 to 59 and all in between.

So here they are all to D=40 digits.

Here are the primes in those lists:




There, lots of fun for you.

Regards,

Richard















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