HOME plateWON | World!OfNumbers Factorization of PDP 1(3)w1Maintained by Patrick De Geest Plateau and Depression Primes Factorizations PDP 3(1)3

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1(3)w1

(12*10n-21)/9     (n = w+1)

4*(10n-1)/3-1     (n = w+1)

(10k-1)/3 - 2*(10(k-1)+1)    (k = w+2)

[ _W_ ] = prime factors

[ 001 ] = { p3 } = ( #1 ) = PRIME
= 131

[ 002 ] = { p2 * p2 * p2 } = ( #3 )
= 11 * 11 * 11

[ 003 ] = { p5 } = ( #1 ) = PRIME
= 13331

[ 004 ] = { p2 * p2 * p2 * p2 } = ( #4 )
= 11 * 17 * 23 * 31

[ 005 ] = { p7 } = ( #1 ) = PRIME
= 1333331

[ 006 ] = { p2 * p7 } = ( #2 ) = SEMIPRIME
= 11 * 1212121

[ 007 ] = { p5 * p5 } = ( #2 ) = SEMIPRIME
= 11287 * 11813

[ 008 ] = { p2 * p2 * p3 * p4 } = ( #4 )
= 11 * 83 * 577 * 2531

[ 009 ] = { p2 * p3 * p7 } = ( #3 )
= 53 * 109 * 2308003

[ 010 ] = { p2 * p11 } = ( #2 ) = SEMIPRIME
= 11 * 12121212121

[ 011 ] = { p3 * p5 * p6 } = ( #3 )
= 193 * 12569 * 549643

[ 012 ] = { p2 * p5 * p8 } = ( #3 )
= 11 * 34841 * 34790081

[ 013 ] = { p2 * p3 * p4 * p8 } = ( #4 )
= 19 * 103 * 2887 * 23599409

[ 014 ] = { p2 * p6 * p9 } = ( #3 )
= 11 * 219731 * 551638691

[ 015 ] = { p3 * p5 * p10 } = ( #3 )
= 367 * 10979 * 3309099967

[ 016 ] = { p2 * p5 * p12 } = ( #3 )
= 11 * 55109 * 219949774469

[ 017 ] = { p2 * p7 * p10 } = ( #3)
= 139 * 4024357 * 2383567397

[ 018 ] = { p2 * p3 * p3 * p3 * p11 } = ( #5 )
= 11 * 263 * 487 * 487 * 19432665743

[ 019 ] = { p2 * p3 * p7 * p10 } = ( #4 )
= 31 * 199 * 7009361 * 3083511259

[ 020 ] = { p2 * p2 * p19 } = ( #3 )
= 11 * 17 * 7130124777183600713

[ 021 ] = { p8 * p15 } = ( #2 ) = SEMIPRIME
= 37659187 * 354052606959713

[ 022 ] = { p2 * p2 * p21 } = ( #3 )
= 11 * 53 * 228702115494568324757

[ 023 ] = { p2 * p11 * p13 } = ( #3 )
= 47 * 12600544843 * 2251394259511

[ 024 ] = { p2 * p2 * p4 * p20 } = ( #4 )
= 11 * 11 * 2467 * 44666735900107311833

[ 025 ] = { p2 * p4 * p21 } = ( #3 )
= 29 * 7451 * 617058267269532593789

[ 026 ] = { p2 * p2 * p25 } = ( #3 )
= 11 * 23 * 5270092226613965744400527

[ 027 ] = { p3 * p26 } = ( #2 ) = SEMIPRIME
= 277 * 48134777376654632972322503

[ 028 ] = { p2 * p4 * p5 * p21 } = ( #4 )
= 11 * 1051 * 13033 * 884909668387866853987

[ 029 ] = { p4 * p7 * p22 } = ( #3 )
= 1009 * 1099507 * 1201848073730593439537

[ 030 ] = { p2 * p6 * p25 } = ( #3 )
= 11 * 361217 * 3355659374063823466813913

[ 031 ] = { p2 * p9 * p23 } = ( #3 )
= 19 * 611092247 * 11483608070794461915367

[ 032 ] = { p2 * p12 * p21 } = ( #3 )
= 11 * 326958513253 * 370726304099405593957

[ 033 ] = { p5 * p5 * p25 } = ( #3 )
= 70501 * 82171 * 2301573705054338822277461

[ 034 ] = { p2 * p2 * p12 * p21 } = ( #4 )
= 11 * 31 * 499327209421 * 783067365932535201571

[ 035 ] = { p2 * p10 * p12 * p14 } = ( #4 )
= 53 * 1475707613 * 354035633477 * 48152137841527

[ 036 ] = { p2 * p2 * p4 * p32 } = ( #4 )
= 11 * 17 * 3323 * 21456890692698166455048082209931

[ 037 ] = { p3 * p8 * p28 } = ( #3 )
= 503 * 46365797 * 5717063580514003330133479841

[ 038 ] = { p2 * p5 * p7 * p27 } = ( #4 )
= 11 * 74707 * 4990049 * 325147144556162326976313347

[ 039 ] = { p6 * p35 } = ( #2 ) = SEMIPRIME
= 666599 * 20002030206065915690442579921862069

[ 040 ] = { p2 * p4 * p5 * p32 } = ( #4 )
= 11 * 6197 * 82759 * 23634657926646268991400194633027

[ 041 ] = { p4 * p7 * p8 * p10 * p16 } = ( #5 )
= 1459 * 1146823 * 73502321 * 3125125519 * 3469113683972617

[ 042 ] = { p2 * p43 } = ( #2 ) = SEMIPRIME
= 11 * 1212121212121212121212121212121212121212121

[ 043 ] = { p8 * p16 * p22 } = ( #3 )
= 26412151 * 1022188573466059 * 4938601036540929141359

[ 044 ] = { p2 * p4 * p5 * p16 * p21 } = ( #5 )
= 11 * 6067 * 13171 * 6271396035070567 * 241873940317461257959

[ 045 ] = { p3 * p6 * p18 * p21 } = ( #4 )
= 337 * 549379 * 187633714776759523 * 383818500501320317739

[ 046 ] = { p2 * p2 * p11 * p35 } = ( #4 )
= 11 * 11 * 71223994921 * 15471308171886184262749074235370291

[ 047 ] = { p3 * p6 * p6 * p7 * p7 * p22 } = ( #6 )
= 103 * 552001 * 634757 * 1494137 * 4617533 * 5354929038585977855341

[ 048 ] = { p2 * p2 * p2 * p2 * p2 * p6 * p10 * p27 } = ( #8 )
= 11 * 23 * 23 * 53 * 61 * 202087 * 7381264129 * 475133390210410386794585711

[ 049 ] = { p2 * p2 * p2 * p3 * p14 * p29 } = ( #6 )
= 19 * 31 * 83 * 971 * 63271165534163 * 44393591838716830744578696181

[ 050 ] = { p2 * p8 * p16 * p27 } = ( #4 )
= 11 * 25685041 * 5110722287804303 * 923386467885074027978921927

[ 051 ] = { p2 * p3 * p5 * p15 * p30 } = ( #5 )
= 59 * 317 * 18013 * 164149007753957 * 241103298464255828350238774797

[ 052 ] = { p2 * p2 * p51 } = ( #3 )
= 11 * 17 * 713012477718360071301247771836007130124777183600713

[ 053 ] = { p2 * p4 * p9 * p41 } = ( #4 )
= 29 * 6907 * 263255347 * 25285647645439700888991358680070955980591

[ 054 ] = { p2 * p3 * p4 * p17 * p33 } = ( #5 )
= 11 * 179 * 2531 * 23949411618567569 * 111713594790071028926815329009041

[ 055 ] = { p28 * p29 } = ( #2 ) = SEMIPRIME
= 2712010315403285498948119591 * 49164021455245164290777681141

[ 056 ] = { p2 * p8 * p9 * p9 * p32 } = ( #5 )
= 11 * 13285429 * 662216209 * 874491983 * 15754870201963808132598266401067

[ 057 ] = { p25 * p34 } = ( #2 ) = SEMIPRIME
= 8992981486986397211268073 * 1482637693920285654052934049744347

[ 058 ] = { p2 * p4 * p5 * p7 * p8 * p37 } = ( #6 )
= 11 * 1069 * 30509 * 2041477 * 19227337 * 9468403202573089197738312542329017749

[ 059 ] = { p4 * p6 * p7 * p8 * p37 } = ( #5 )
= 4789 * 952691 * 8211673 * 14739013 * 2414581052347818277299030531258185281

[ 060 ] = { p2 * p5 * p9 * p21 * p27 } = ( #5 )
= 11 * 40609 * 401713399 * 637937037907527944251 * 116474169142066038333597181

[ 061 ] = { p2 * p3 * p5 * p6 * p48 } = ( #5 )
= 53 * 233 * 33301 * 534971 * 606065315663101434685788171316325744304967497289

[ 062 ] = { p2 * p3 * p4 * p7 * p7 * p11 * p13 * p21 } = ( #8 )
= 11 * 941 * 1861 * 1898009 * 2431999 * 18188954851 * 3685482125387 * 223689882442505876063

[ 063 ] = { p3 * p29 * p34 } = ( #3 )
= 139 * 18356269765607122088534959279 * 5225640209897769966102931171794551

[ 064 ] = { p2 * p2 * p2 * p2 * p3 * p58 } = ( #6 )
= 11 * 31 * 31 * 31 * 401 * 1014650788792186665366493145908358673666042349499695862231

[ 065 ] = { p4 * p12 * p21 * p31 } = ( #4 )
= 3967 * 302711922131 * 827206620171564445229 * 1342248752402501429906140527707

[ 066 ] = { p2 * p3 * p6 * p6 * p21 * p33 } = ( #6 )
= 11 * 257 * 173137 * 679219 * 185920111677239248157 * 215718227126018008164718291527343

[ 067 ] = { p2 * p3 * p8 * p57 } = ( #4 )
= 19 * 557 * 32905721 * 382876339653583391111969606535055197990144448348482637517

[ 068 ] = { p2 * p2 * p2 * p3 * p5 * p14 * p45 } = ( #7 )
= 11 * 11 * 17 * 719 * 64927 * 71446174066627 * 194344046357731973897632935515646314745481433

[ 069 ] = { p2 * p4 * p65 } = ( #3 )
= 47 * 6301 * 45022685805810402716668861522599699923799104273665893402037951873

[ 070 ] = { p2 * p2 * p7 * p7 * p56 } = ( #5 )
= 11 * 23 * 1781641 * 4348433 * 68024480562388475404586501551334095664308099348620080359

[ 071 ] = { p5 * p6 * p22 * p40 } = ( #4 )
= 87811 * 685723 * 3317959160803321734109 * 6673751953032816747081753395551381792703

[ 072 ] = { p2 * p2 * p3 * p68 } = ( #4 )
= 11 * 97 * 499 * 25042274489622794479931434252447412788713947733016798983784501211107

[ 073 ] = { p6 * p9 * p16 * p22 * p23 } = ( #5 )
= 230189 * 276662123 * 7301461158977291 * 4223363558949075816433 * 67894753759044766065991

[ 074 ] = { p2 * p2 * p8 * p29 * p37 } = ( #5 )
= 11 * 53 * 41652899 * 53278787125118221784820757711 * 1030553681050188894754107312283892713

[ 075 ] = { p6 * p23 * p49 } = ( #3 )
= 135781 * 31715253770542695631709 * 3096218084817507864272943303230902012616351619139

[ 076 ] = { p2 * p20 * p58 } = ( #3 )
= 11 * 11274072581485735739 * 1075140507886879910002057417100729800695023385536620159739

[ 077 ] = { p3 * p5 * p25 * p46 } = ( #4 )
= 617 * 90437 * 8450985066518095007175251 * 2827483575982940190061439120841363296271545989

[ 078 ] = { p2 * p23 * p25 * p31 } = ( #4 )
= 11 * 66861965060187276702959 * 3988458932180943199956881 * 4545292021138467891501872236999

[ 079 ] = { p2 * p3 * p3 * p4 * p25 * p47 } = ( #6 )
= 31 * 113 * 197 * 1291 * 1848492012888819757000081 * 80963365458994370647750278862851613228673774171

[ 080 ] = { p2 * p21 * p25 * p35 } = ( #4 )
= 11 * 320494427644449055369 * 9902173300161588613049221 * 38193991380471276178957454392836829

[ 081 ] = { p2 * p3 * p6 * p7 * p7 * p60 } = ( #6 )
= 29 * 103 * 241643 * 4574659 * 6255713 * 645496292820785229980130563365955835651289637573978131640473

[ 082 ] = { p2 * p5 * p38 * p41 } = ( #4 )  (by Tetsuya Kobayashi)
= 11 * 10667 * 72580987458144908852098438040535255707 * 15656002569060924531976441677875611117009

[ 083 ] = { p10 * p75 } = ( #2 ) = SEMIPRIME
= 9631975789 * 138427811961076487017873808458898456366679861609163491776436122573535814079

[ 084 ] = { p2 * p2 * p8 * p10 * p66 } = ( #5 )
= 11 * 17 * 81303683 * 2443543709 * 358894496700960286444588249973683442196638311053559015832810179679

[ 085 ] = { p2 * p3 * p7 * p16 * p29 * p34 } = ( #6 )
= 19 * 389 * 1269847 * 1106883358298057 * 12326349988759884228029619133 * 1041232665513298890843295157112863

[ 086 ] = { p2 * p9 * p20 * p29 * p30 } = ( #5 )
= 11 * 108905039 * 76638456006422377979 * 55983652357425131707520308021 * 259412023651696477022278108321

[ 087 ] = { p2 * p3 * p5 * p8 * p21 * p51 } = ( #6 )
= 53 * 227 * 75541 * 21696443 * 863856898589084659793 * 782751547032349255054185022482106546675440854423339

[ 088 ] = { p2 * p7 * p12 * p13 * p27 * p32 } = ( #6 )
= 11 * 1925459 * 184347030559 * 5946720475079 * 500733594484795846057830301 * 11468097463748763979194358336279

[ 089 ] = { p3 * p20 * p32 * p37 } = ( #4 )
= 167 * 98519871778168746967 * 13361422038239092835380720370833 * 6065208648079228803931441476507259363

[ 090 ] = { p2 * p2 * p2 * p4 * p27 * p57 } = ( #6 )
= 11 * 11 * 83 * 6359 * 351776248187465410474658657 * 593498924425081515969644488546856271407822043462327700159

[ 091 ] = { p5 * p15 * p24 * p51 } = ( #4 )
= 34729 * 142088610060283 * 160011291853487718501761 * 168863801089740620555346301671487282377387600224353

[ 092 ] = { p2 * p2 * p5 * p6 * p28 * p54 } = ( #6 )
= 11 * 23 * 19661 * 877057 * 1648790330412041003186524271 * 185361425777348168182769851646372254269428316876814181

[ 093 ] = { p95 } = ( #1 ) = PRIME
= 13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331

[ 094 ] = { p2 * p2 * p4 * p5 * p6 * p12 * p13 * p54 } = ( #8 )
= 11 * 31 * 5857 * 15959 * 899693 * 951648361463 * 9876720895721 * 494674851294650022824012393209722099995962845031135963

[ 095 ] = { p3 * p5 * p40 * p50 } = ( #4 )  (by Tetsuya Kobayashi)
= 223 * 13187 * 6964278414497241763927635048263578288189 * 65104610135268499822031205908710726272798005052379

[ 096 ] = { p2 * p3 * p6 * p16 * p16 * p26 * p33 } = ( #7 )
= 11 * 277 * 243311 * 1647191664885751 * 2444091468551419 * 13654495377205259795260937 * 327165343583587576345067693442031

[ 097 ] = { p3 * p5 * p7 * p27 * p60 } = ( #5 )
= 563 * 10631 * 1117601 * 146954580992992275232063519 * 135639541505809458811743864667567485973264131549511123601833

[ 098 ] = { p2 * p5 * p9 * p21 * p65 } = ( #5 )
= 11 * 75577 * 160686959 * 931521997695092373263 * 10714765132292229126932878819373716506895161422472195210226126369

[ 099 ] = { p3 * p6 * p6 * p12 * p75 } = ( #5 )
= 149 * 732601 * 902477 * 216381029041 * 625503345244719426240611380367071503041696454555040894878444397607338911467

[ 100 ] = { p2 * p2 * p2 * p4 * p8 * p9 * p12 * p32 * p35 } = ( #9 )
= 11 * 17 * 53 * 2531 * 39987889 * 177977467 * 785914406293 * 49255547809275135801753190643693 * 19293242034466327802734153006996693

For the continuation of this factorization project link to
http://stdkmd.net/nrr/1/13331.htm

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