Powered consecutives summing to palindromes

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Powered consecutives summing to palindromes (at least two consecutives)
Sumsquare.htm



Those with #2, #3, #4 up to #11 are well presented at sumsquare.htm.

2(1,2,#2)=5 ; 2(1,5,#5)=55 ; 2(1,181,#181)=1992991
2(2,11,#10)=505 ; 2(2,13,#12)=818 ; 2(2,50,#49)=42924
2(4,6,#3)=77 ; 2(4,12,#9)=636 ; 2(4,14,#11)=1001 ; 2(4,17,#14)=1771
2(6,12,#7)=595 ; 2(6,16,#11)=1441
2(7,468,#462)=34277243
2(8,576,#569)=63866836 ; 2(8,1145,#1138)=501030105
2(9,10,#2)=181 ; 2(9,37,#29)=17371 ; 2(9,118,#110)=554455 ; 2(9,911,#903)=252434252
2(11,13,#3)=434 ; 2(11,16,#6)=1111 ; 2(11,76,#66)=148841
2(12,13,#2)=313
2(14,79,#66)=166661 ; 2(14,3680,#3667)=16618781661
2(16,17,#2)=545 ; 2(16,326,#311)=11600611
2(17,213,#197)=3242423
2(18,113,#96)=485584
2(19,29,#11)=6446 ; 2(19,41,#23)=21712
2(21,658,#638)=95177159
2(22,67,#46)=99199 ; 2(22,293,#272)=8424248
2(23,143,#121)=981189
2(26,303,#278)=9313139
2(27,103,#77)=363363 ; 2(27,208,#182)=3015103
2(29,42,#14)=17871 ; 2(29,124,#96)=635536
2(30,11799,#11770)=547607706745 ; 2(30,2429258,#2429229)=4778591852581958774
2(31,68,#38)=97679
2(32,55,#24)=46564
2(34,160,#127)=1365631
2(36,254,#219)=5479745
2(37,39,#3)=4334
2(39,5628,#5590)=59436963495
2(41,576,#536)=63844836
2(42,3044,#3003)=9406446049
2(44,77,#34)=127721
2(45,1413,#1369)=941353149 ; 2(45,5570,#5526)=57618381675
2(46,266,#221)=6277726 ; 2(46,518,#473)=46433464
2(50,56,#7)=19691 ; 2(50,76,#27)=108801
2(51,113,#63)=444444
2(54,70,#17)=65756 ; 2(54,270,#217)=6546456 ; 2(54,274,#221)=6843486
2(59,724,#666)=126696621
2(61,3526,#3466)=14618681641 ; 2(61,5454,#5394)=54093239045
2(63,151,#89)=1077701
2(69,90,#22)=139931 ; 2(69,8956,#8888)=239493394932
2(71,78,#8)=44444
2(72,302,#231)=9105019
2(73,254,#182)=5367635
2(74,265,#192)=6106016 ; 2(74,7352,#7279)=132490094231
2(75,11932,#11858)=566334433665
2(77,88,#12)=81818 ; 2(77,126,#50)=525525
2(82,1082,#1001)=422646224
2(83,148,#66)=904409 ; 2(83,539,#457)=52155125
2(84,790,#707)=164464461
2(85,136,#52)=646646
2(88,153,#66)=982289
2(92,127,#36)=435534
2(93,106,#14)=138831 ; 2(93,381,#289)=18244281
2(99,103,#5)=51015 ; 2(99,1815,#1717)=1994334991
2(100,103,#4)=41214
2(101,248,#148)=4776774
2(102,228,#127)=3628263 ; 2(102,307,#206)=9343439 ; 2(102,2103,#2002)=3102112013
2(104,117,#14)=171171
2(106,146,#41)=656656 ; 2(106,191,#86)=1949491
2(116,126,#11)=161161
2(117,2118,#2002)=3168778613
2(122,1111990,#1111869)=458333895598333854
2(124,956,#833)=291070192
2(126,136,#11)=188881 ; 2(126,1138,#1013)=491242194
2(128,248,#121)=4424244
2(136,318,#183)=9940499
2(139,715,#577)=121212121
2(140,1231,#1092)=621656126
2(144,1224,#1081)=611020116
2(146,272,#127)=5718175 ; 2(146,691,#546)=109191901
2(149,154,#6)=137731
2(151,183,#33)=923329
2(156,206,#51)=1681861
2(158,391,#234)=18699681
2(159,290,#132)=6844486 ; 2(159,679,#521)=103252301
2(160,341,#182)=11922911
2(164,217,#54)=1972791
2(166,257740,#257575)=5707248008427075
2(167,320,#154)=9435349
2(172,260,#89)=4211124 ; 2(172,325,#154)=9814189
2(173,191,#19)=629926 ; 2(173,206,#34)=1224221
2(176,181,#6)=191191 ; 2(176,5003,#4828)=41752425714
2(182,522,#341)=45555554
2(188,7606,#7419)=146698896641
2(189,236,#48)=2176712
2(192,524,#333)=45755754
2(194,597,#404)=68688686
2(197,493,#297)=37533573
2(200,1209,#1010)=587141785
2(201,1209,#1009)=587101785 ; 2(201,1210,#1010)=588565885
2(202,1125,#924)=472515274
2(204,822,#619)=182666281
2(205,82621,#82417)=188000050000881
2(207,217,#11)=494494 ; 2(207,11349,#11143)=487311113784
2(210,292,#83)=5276725 ; 2(210,5524,#5315)= 56199699165 ; 2(210,247164,#246955)=5033116996113305
2(212,4673,#4462)=34022422043
2(215,396,#182)=17488471
2(216,5494,#5279)=55288788255 ; 2(216,26142,#25927)=5955522255595
2(219,343030,#342822)=13455967676955431
2(223,343,#121)=9838389
2(224,321,#98)=7355537
2(226,304,#79)=5588855 ; 2(226,396,#171)=16955961
2(230,1207,#978)=582838285
2(233,2388,#2156)=4537887354
2(234,1291,#1058)=713818317
2(235,3691,#3457)=16763936761
2(236,1170,#935)=530202035
2(239,568,#330)=56722765
2(246,2492,#2247)=5156666515
2(251,836,#586)=189868981
2(257,270,#14)=972279
2(258,1164,#907)=520686025 ; 2(258,1591,#1334)=1337997331
2(260,117629,#117370)=542534666435245
2(261,325,#65)=5603065 ; 2(261,543,#283)=47622674
2(263,1152,#890)=504242405
2(269,785,#517)=155101551 ; 2(269,1951,#1683)=2470880742
2(272,30205,#29934)=9186213126819
2(275,555,#281)=50244205
2(276,30833,#30558)=9771177711779
2(281,1236,#956)=622818226 ; 2(281,2716,#2436)=6674664766
2(288,298,#11)=944449
2(292,566,#275)=52344325 ; 2(292,2903,#2612)=8150880518 ; 2(292,241284,#240993)=4682383883832864
2(304,476,#173)=26744762
2(306,1195,#890)=560040065
2(312,685,#374)=97299279
2(314,804,#491)=163292361
2(315,575,#53166135 ; 2(315,5484,#5170)=54980408945
2(316,12236,#11921)=610721127016
2(318,796,#479)=157767751
2(320,616,#297)=67233276
2(324,782,#459)=148424841
2(326,11600,#11275)=520354453025
2(331,335,#5)=554455 ; 2(331,626,#296)=69933996
2(337,1073,#737)=399666993
2(340,26871,#26532)=6467755577646
2(341,582,#242)=52722725
2(343,5153,#4811)=45609790654 ; 2(343,10913,#10571)=433268862334
2(345,1466,#1122)=1037667301
2(355,25879,#25525)=5777570757775
2(360,721,#362)=109707901
2(362,5476,#5115)=54734743745
2(367,1043,#677)=362343263
2(371,2358,#1988)=4356116534
2(378,35316,#34939)=14682877828641
2(379,88841,#88463)=233736404637332
2(384,936,#553)=254979452
2(388,821,#434)=165404561
2(392,25526,#25135)=5544354534455
2(404,3662,#3259)=16354245361
2(405,1170,#766)=512494215
2(409,474,#66)=12888821
2(411,1220,#810)=582969285
2(412,587,#176)=44366344
2(413,1197,#785)=549010945
2(415,444,#30)=5536355
2(421,629,#209)=58366385
2(429,659,#231)=69388396
2(430,851,#422)=179383971
2(434,3712,#3279)=17028882071
2(435,3216,#2782)=11065156011
2(439,16135,#15697)=1400287820041
2(443,141023,#140581)=934874252478439
2(444,1240,#797)=607232706
2(454,1619,#1166)=1384774831
2(456,3073,#2618)=9646336469
2(460,127016,#126557)=683060464060386
2(464,911,#448)=219242912
2(471,536,#66)=16755761
2(473,1222,#750)=573848375
2(477,514,#38)=9334339
2(479,539,#61)=15822851
2(481,110668,#110188)=451804737408154
2(482,520,#39)=9793979
2(487,104183,#103697)=376942868249673
2(491,531,#41)=10711701 ; 2(491,776,#286)=116727611 ; 2(491,1200,#710)=537383735
2(492,1099,#608)=403484304 ; 2(492,1127,#636)=438202834
2(502,5297,#4796)=49513431594
2(518,1224,#707)=565808565
2(520,1148,#629)=458242854
2(525,886,#362)=184131481 ; 2(525,3906,#3382)=19823932891
2(527,1157,#631)=468292864
2(528,1229,#702)=570606075
2(529,1490,#962)=1054554501
2(534,18020,#17487)=1950598950591
2(537,4878,#4342)=38650905683
2(539,709,#171)=66999966
2(548,26831,#26284)=6438873788346
2(550,4978,#4429)=41076167014
2(563,1219,#657)=545212545
2(566,568,#3)=964469
2(572,2315,#1744)=4075995704
2(574,4321,#3748)=26838983862
2(575,25235,#24661)=5356848486535
2(577,777,#201)=92800829
2(581,2549,#1969)=5458668545
2(587,23910,#23324)=4556572756554
2(589,637,#49)=18422481
2(595,12386,#11792)=633397793336
2(598,1200,#603)=505616505
2(599,606,#8)=2904092
2(602,6687,#6086)=99621712699 ; 2(602,240665,#240064)=4646439119346464
2(606,5555,#4950)=57080208075
2(616,11665,#11050)=529084480925
2(617,105953,#105337)=396483010384693
2(619,7735,#7117)=154213312451
2(623,633,#11)=4338334
2(631,646,#16)=6523256
2(632,719,#88)=40211204
2(640,6598,#5959)=95679497659
2(645,754,#110)=53933935
2(651,5726,#5076)=62504240526
2(652,1073,#422)=320191023 ; 2(652,6674,#6023)=99021812099
2(656,1143,#488)=404525404
2(657,677,#21)=9343439
2(660,846,#187)=106575601
2(668,2545,#1878)=5398778935
2(676,51803,#51128)=46339899893364
2(678,6683,#6006)=99411811499
2(679,1356,#678)=727909727
2(682,700,#19)=9072709 ; 2(682,23810,#23129)=4499602069944
2(686,17831,#17146)=1889808089881
2(688,257257,#256570)=5675222222225765
2(694,1026,#333)=249363942
2(700,1274,#575)=575989575 ; 2(700,53862,#53163)=52087955978025
2(702,5297,#4596)=49440404494
2(704,3470,#2767)=13817271831
2(709,718,#10)=5090905 ; 2(709,8345,#7637)=193628826391
2(715,1260,#546)=545999545
2(719,3900,#3182)=19656965691
2(724,80345,#79622)=172887303788271
2(730,1280,#551)=570464075
2(735,896,#162)=108090801
2(740,3466,#2727)=13750405731
2(742,810,#69)=41577514
2(747,1438,#692)=853555358
2(748,5931,#5184)=69422822496
2(749,760,#12)=6831386
2(758,1326,#569)=633151336
2(761,2630,#1870)=5920660295
2(770,5761,#4992)=63598889536
2(778,5475,#4698)=54563836545
2(785,806,#22)=13922931
2(793,869,#77)=53211235 ; 2(793,2408,#1616)=4491221944 ; 2(793,5263,#4471)=48441514484
2(796,2423,#1628)=4576886754
2(801,1746,#946)=1604774061
2(806,11233,#10428)=472349943274
2(820,833,#14)=9563659
2(829,1565,#737)=1089339801
2(830,1536,#707)=1018888101
2(834,3387,#2554)=12764346721
2(838,115079,#114242)=508010252010805
2(864,872,#9)=6780876
2(879,1436,#558)=762090267
2(887,64840,#63954)=90869199196809
2(893,7261,#6369)=127394493721
2(895,960,#66)=56800865
2(912,1530,#619)=942595249
2(914,2694,#1781)=6266886626 ; 2(914,8040,#7127)=173017710371
2(919,920,#2)=1690961 ; 2(919,1451,#533)=761070167
2(920,3826,#2907)=18416861481
2(924,1001,#78)=72299227
2(930,3063,#2134)=9315995139
2(935,3831,#2897)=18477277481 ; 2(935,5479,#4545)=54568486545
2(937,241319,#240383)=4684421551244864
2(944,5353,#4410)=50863736805
2(949,335294,#334346)=12564870707846521
2(961,24689,#23729)=5016375736105
2(962,1544,#583)=931828139 ; 2(962,6679,#5718)=99040604099
2(964,5904,#4941)=68318281386
2(969,3722,#2754)=16891419861
2(975,1018,#44)=43699634
2(976,1030,#55)=55344355
2(989,86236,#85248)=213772313277312 ; 2(989,344625,#343637)=13643348184334631
2(990,2706,#1717)=6285555826
2(991,11418,#10428)=495932239594 ; 2(991,12561,#11571)=660374473066
2(997,1319,#323)=435939534
2(1005,1573,#569)=960757069
2(1006,5580,#4575)=57590409575
2(1012,10659,#9648)=403383383304
2(1013,37466,#36454)=17530711703571
2(1018,1426,#409)=616454616
2(1030,1333,#304)=426707624
2(1034,11703,#10670)=533982289335
2(1049,8671,#7623)=216966669612
2(1052,6408,#5357)=87342424378
2(1059,7064,#6006)=117127721711
2(1062,2469,#1408)=4621331264
2(1073,16321,#15249)=1448890988441
2(1075,1126,#52)=62988926
2(1079,12028,#10950)=579695596975
2(1081,24548,#23468)=4930790970394
2(1082,49877,#48796)=41360744706314
2(1083,5253,#4171)=47908080974
2(1084,117153,#116070)=535974595479535
2(1090,5484,#4395)=54559695545
2(1092,10760,#9669)=414880088414

2(1257,1258,#2)=3162613
2(1262,1263,#2)=3187813
2(1621,1622,#2)=5258525
2(1706,1707,#2)=5824285
2(1736,1738,#3)=9051509
2(3207,3211,#5)=51488415
2(8339,8341,#3)=208666802
2(10099,10103,#5)=510151015
2(10172,10175,#4)=414000414
2(16084,16086,#3)=776181677
2(17552,17554,#3)=924323429
2(17932,17934,#3)=964777469
2(36997,36999,#3)=4106556014
2(40441,40443,#3)=4906666094
2(119811,119813,#3)=43064746034
2(170706,170707,#2)=58281418285
2(173736,173738,#3)=90553635509
2(378811,378813,#3)=430495594034
2(904280,904281,#2)=1635446445361
2(1258182,1258183,#2)=3166046406613
2(1328120,1328122,#3)=5291716171925
2(1751496,1751498,#3)=9203225223029
2(1775706,1775708,#3)=9459406049549
2(4427780,4427782,#3)=58815733751885
2(7901014,7901015,#2)=124852060258421
2(8211879,8211881,#3)=202304919403202
2(8659929,8659930,#2)=149988757889941
2(10460137,10460140,#4)=437657989756734
2(12309598,12309601,#4)=606104959401606
2(12458597,12458598,#2)=310433303334013
2(17070706,17070707,#2)=582818040818285
2(17909282,17909284,#3)=962227252722269
2(40439557,40439559,#3)=4906073553706094
2(80472264,80472265,#2)=12951570707515921
2(101740172,101740175,#4)=41404251615240414
2(102025300,102025303,#4)=41636648584663614
2(441564380,441564382,#3)=584937307703739485
2(828223249,828223251,#3)=2057861255521687502
2(1616689803,1616689804,#2)=5227371841481737225
2(1680689788,1680689789,#2)=5649436330336349465
2(1705387643,1705387644,#2)=5816694029204966185
2(5602945242,5602945244,#3)=94178986188168987149
2(7360311900,7360311901,#2)=108348382545283843801
2(8032814139,8032814140,#2)=129052205999502250921
2(8055329360,8055329361,#2)=129776662212266677921
2(8227749489,8227749491,#3)=203087585010585780302
2(12574461617,12574461618,#2)=316234169939961432613
2(12900321391,12900321393,#3)=499254876050678452994
2(16028474344,16028474346,#3)=770735969484969537077
2(16794058711,16794058712,#2)=564080816010618080465
2(17552348196,17552348198,#3)=924254781686187452429
2(165058650666,165058650667,#2)=54488716319691361788445
2(844706005220,844706005221,#2)=1427056470511150746507241
2(1250999800012,1250999800013,#2)=3130000999262629990000313
2(1255589965852,1255589965853,#2)=3153012324698964232103513
2(1258837943717,1258837943718,#2)=3169345937085807395439613
2(1589811006123,1589811006124,#2)=5054998070382830708994505
2(7365154696775,7365154696776,#2)=108491007414868414700194801
2(12613810689762,12613810689763,#2)=318216440234333432044612813
2(12615243893562,12615243893563,#2)=318288756988131889657882813



3(1,2,#2)=9
3(2,4,#3)=99
3(3,23,#21)=76167
3(8,1202,#1195)=522733337225
3(13,31,#19)=239932
3(15,91,#77)=17511571
3(16,17,#2)=9009 ; 3(16,18,#3)=14841 ; 3(16,26,#11)=108801 ; 3(16,408,#393)=6961551696
3(27,114,#88)=42844824
3(28,73,#46)=7152517
3(30,91,#62)=17333371
3(37,47,#11)=828828
3(43,58,#16)=2112112 ; 3(43,125,#83)=61200216
3(47,69,#23)=4663664
3(59,62,#4)=886688
3(69,1179,#1111)=483867768384
3(76,408,#333)=6953443596
3(226,236,#11)=135666531
3(290,313,#24)=658808856
3(328,588,#261)=27110501172
3(388,2137,#1750)=5213088803125
3(629,1258,#630)=588114411885
3(684,1164,#481)=405162261504
3(1163,16639,#15477)=19164202420246191
3(1376,7031,#5656)=610232727232016
3(1483,1884,#402)=1945416145491
3(1715,27011,#25297)=133084588885480331
3(1722,1730,#9)=46277277264
3(2485,27418,#24934)=141281564465182141
3(3073,3163,#91)=2759066609572
3(3367,6474,#3108)=407192737291704
3(4534,67296,#62763)=5127444581854447215
3(5372,12261,#6890)=5442734224372445



4(1,5,#5)=979
4(2,4,#3)=353
4(9,10,#2)=16561
4(10,25,#16)=2138312
4(19,23,#5)=998899
4(5582,5666,#85)=85045192129154058



5(1,2,#2)=33 ; 5(1,13,#13)=1002001
5(5,6,#2)=10901



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Patrick De Geest - Belgium
- Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com