Factorizations of 499...993

Table of contents

1. About 499...993
   • First ten terms
   • General term
2. Prime numbers of the form 499...993
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 499...993
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 499...993

First ten terms

43, 493, 4993, 49993, 499993, 4999993, 49999993, 499999993, 4999999993, 49999999993

General term

5·10ⁿ-7

2. Prime numbers of the form 499...993

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

25.00%

Results

1. 5·10¹-7 = 43 is prime.
2. 5·10³-7 = 4993 is prime.
3. 5·10⁴-7 = 49993 is prime.
4. 5·10⁸-7 = 499999993 is prime.
5. 5·10¹⁴-7 = 4(9)₁₃3_<15> is prime.
6. 5·10¹⁶-7 = 4(9)₁₅3_<17> is prime.
7. 5·10²⁴-7 = 4(9)₂₃3_<25> is prime.
8. 5·10⁶¹-7 = 4(9)₆₀3_<62> is prime.
9. 5·10⁸⁰-7 = 4(9)₇₉3_<81> is prime.
10. 5·10⁸⁷-7 = 4(9)₈₆3_<88> is prime.
11. 5·10¹⁰⁴-7 = 4(9)₁₀₃3_<105> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 3, 2005)
12. 5·10¹⁰⁸-7 = 4(9)₁₀₇3_<109> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 3, 2005)
13. 5·10¹⁴⁴-7 = 4(9)₁₄₃3_<145> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 3, 2005)
14. 5·10²¹⁵⁷-7 = 4(9)₂₁₅₆3_<2158> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
15. 5·10³³²⁵-7 = 4(9)₃₃₂₄3_<3326> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
16. 5·10⁴¹²²-7 = 4(9)₄₁₂₁3_<4123> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)

3. Factorizations of 499...993

Last update

Nov 6, 2009

Completed up to

• n≤100 / Jan 3, 2005
• n≤150 / Sep 21, 2007

Range

n≤200

Terms which have not been factored yet

n=172, 177, 183, 185, 187, 191, 192, 198 (8/200)

Results

5·10¹-7 =

43

= definitely prime number

5·10²-7 =

493

= 17 · 29

5·10³-7 =

4993

= definitely prime number

5·10⁴-7 =

49993

= definitely prime number

5·10⁵-7 =

499993

= 13 · 38461

5·10⁶-7 =

4999993

= 23 · 149 · 1459

5·10⁷-7 =

49999993

= 31 · 1612903

5·10⁸-7 =

499999993

= definitely prime number

5·10⁹-7 =

4999999993_<10>

= 61 · 81967213

5·10¹⁰-7 =

49999999993_<11>

= 19 · 59 · 173 · 347 · 743

5·10¹¹-7 =

499999999993_<12>

= 13 · 113 · 401 · 848797

5·10¹²-7 =

4999999999993_<13>

= 389 · 2897 · 4436821

5·10¹³-7 =

49999999999993_<14>

= 199 · 251256281407_<12>

5·10¹⁴-7 =

499999999999993_<15>

= definitely prime number

5·10¹⁵-7 =

4999999999999993_<16>

= 167 · 6763 · 4427047133_<10>

5·10¹⁶-7 =

49999999999999993_<17>

= definitely prime number

5·10¹⁷-7 =

499999999999999993_<18>

= 13 · 67 · 76541 · 7499938763_<10>

5·10¹⁸-7 =

4999999999999999993_<19>

= 17² · 79549 · 217489070413_<12>

5·10¹⁹-7 =

49999999999999999993_<20>

= 211 · 47964907 · 4940420809_<10>

5·10²⁰-7 =

499999999999999999993_<21>

= 62011 · 8063085581590363_<16>

5·10²¹-7 =

4999999999999999999993_<22>

= 47 · 2485243763_<10> · 42805852813_<11>

5·10²²-7 =

49999999999999999999993_<23>

= 31 · 43 · 107 · 350554928451739103_<18>

5·10²³-7 =

499999999999999999999993_<24>

= 13 · 157 · 4285783 · 57160605654631_<14>

5·10²⁴-7 =

4999999999999999999999993_<25>

= definitely prime number

5·10²⁵-7 =

49999999999999999999999993_<26>

= 103 · 2029091 · 239238601523481941_<18>

5·10²⁶-7 =

499999999999999999999999993_<27>

= 811 · 3469 · 177723497072360832727_<21>

5·10²⁷-7 =

4999999999999999999999999993_<28>

= 84719 · 59018638085907529597847_<23>

5·10²⁸-7 =

49999999999999999999999999993_<29>

= 19 · 23 · 5813 · 5030693 · 24760837 · 158013833

5·10²⁹-7 =

499999999999999999999999999993_<30>

= 13 · 63961571 · 4098523619_<10> · 146716881589_<12>

5·10³⁰-7 =

4999999999999999999999999999993_<31>

= 29 · 853 · 29224597 · 6916309894920115637_<19>

5·10³¹-7 =

49999999999999999999999999999993_<32>

= 52631 · 950010450114951264463909103_<27>

5·10³²-7 =

499999999999999999999999999999993_<33>

= 36821 · 22773034862191_<14> · 596284491707963_<15>

5·10³³-7 =

4999999999999999999999999999999993_<34>

= 13686811221215221_<17> · 365315186947983733_<18>

5·10³⁴-7 =

49999999999999999999999999999999993_<35>

= 17 · 163 · 352760184001_<12> · 51150975210032598083_<20>

5·10³⁵-7 =

499999999999999999999999999999999993_<36>

= 13 · 269 · 142979696883042607949671146697169_<33>

5·10³⁶-7 =

4999999999999999999999999999999999993_<37>

= 170207 · 29375995111834413390753611778599_<32>

5·10³⁷-7 =

49999999999999999999999999999999999993_<38>

= 31 · 1063 · 2843 · 3889 · 4057 · 96320408521_<11> · 351185777699_<12>

5·10³⁸-7 =

499999999999999999999999999999999999993_<39>

= 1096031 · 4732361 · 96398283295796653726064623_<26>

5·10³⁹-7 =

4999999999999999999999999999999999999993_<40>

= 159707 · 31307331550902590368612521680327099_<35>

5·10⁴⁰-7 =

49999999999999999999999999999999999999993_<41>

= 1303 · 2027 · 4044737505261239_<16> · 4680384127290328027_<19>

5·10⁴¹-7 =

499999999999999999999999999999999999999993_<42>

= 13² · 4107291845023_<13> · 720323754262034254685348239_<27>

5·10⁴²-7 =

4999999999999999999999999999999999999999993_<43>

= 97 · 5569 · 133981 · 69084057543745736483347187695021_<32>

5·10⁴³-7 =

49999999999999999999999999999999999999999993_<44>

= 43 · 887 · 112243463 · 11679301546872137886359916851371_<32>

5·10⁴⁴-7 =

499999999999999999999999999999999999999999993_<45>

= 139 · 10607 · 5770863677_<10> · 58765416691843323893109869833_<29>

5·10⁴⁵-7 =

4999999999999999999999999999999999999999999993_<46>

= 511963 · 3468739 · 46466621 · 60592477965204159315368669_<26>

5·10⁴⁶-7 =

49999999999999999999999999999999999999999999993_<47>

= 19 · 35899 · 92667762961_<11> · 731692441637329_<15> · 1081127226244537_<16>

5·10⁴⁷-7 =

499999999999999999999999999999999999999999999993_<48>

= 13 · 379 · 101481631824639740207022528922265070022325959_<45>

5·10⁴⁸-7 =

4999999999999999999999999999999999999999999999993_<49>

= 144383 · 2117500795169_<13> · 16354239777786206684045801912359_<32>

5·10⁴⁹-7 =

49999999999999999999999999999999999999999999999993_<50>

= 211 · 236966824644549763033175355450236966824644549763_<48>

5·10⁵⁰-7 =

499999999999999999999999999999999999999999999999993_<51>

= 17 · 23 · 67 · 257 · 10296852839632129_<17> · 7212416777499355558371690773_<28>

5·10⁵¹-7 =

4999999999999999999999999999999999999999999999999993_<52>

= 2239 · 3877 · 169629371 · 3395619805909712588457382206728570561_<37>

5·10⁵²-7 =

49999999999999999999999999999999999999999999999999993_<53>

= 31 · 6329 · 33172597 · 53305951 · 144117940212771122741699560858781_<33>

5·10⁵³-7 =

499999999999999999999999999999999999999999999999999993_<54>

= 13 · 173 · 48337 · 55073 · 83514545439888039279524550000351707653057_<41>

5·10⁵⁴-7 =

4999999999999999999999999999999999999999999999999999993_<55>

= 3389 · 27457 · 33461 · 20307032651890929827_<20> · 79078781486807268141203_<23>

5·10⁵⁵-7 =

49999999999999999999999999999999999999999999999999999993_<56>

= 31795652723_<11> · 732235434871942069_<18> · 2147590715171202669692733239_<28>

5·10⁵⁶-7 =

499999999999999999999999999999999999999999999999999999993_<57>

= 882031 · 331377063839_<12> · 1710660035863004466380076878182790096777_<40>

5·10⁵⁷-7 =

4999999999999999999999999999999999999999999999999999999993_<58>

= 1879 · 535813476231525443437_<21> · 4966261593406823490099203567799691_<34>

5·10⁵⁸-7 =

49999999999999999999999999999999999999999999999999999999993_<59>

= 29 · 65476057051_<11> · 26332342060419632684040341468429541782174538167_<47>

5·10⁵⁹-7 =

499999999999999999999999999999999999999999999999999999999993_<60>

= 13 · 103 · 21163 · 239237 · 462901 · 3798868031743584581_<19> · 41941264662555911780917_<23>

5·10⁶⁰-7 =

4999999999999999999999999999999999999999999999999999999999993_<61>

= 29101 · 13043017573_<11> · 104658839875118648989_<21> · 125865902918367221277233869_<27>

5·10⁶¹-7 =

49999999999999999999999999999999999999999999999999999999999993_<62>

= definitely prime number

5·10⁶²-7 =

499999999999999999999999999999999999999999999999999999999999993_<63>

= 967 · 3387226238955047271972682201_<28> · 152650884593843919399635945157079_<33>

5·10⁶³-7 =

4999999999999999999999999999999999999999999999999999999999999993_<64>

= 86216671301_<11> · 1307364546157_<13> · 44359030895215188224016890308418205668249_<41>

5·10⁶⁴-7 =

49999999999999999999999999999999999999999999999999999999999999993_<65>

= 19 · 43 · 293 · 3793 · 230471 · 905783 · 1496149100546002339_<19> · 176312115851761015563271223_<27>

5·10⁶⁵-7 =

499999999999999999999999999999999999999999999999999999999999999993_<66>

= 13 · 38726319459822019_<17> · 993162763671402757165153499347326633952961637919_<48>

5·10⁶⁶-7 =

4999999999999999999999999999999999999999999999999999999999999999993_<67>

= 17 · 22699 · 1503659 · 96971893581949_<14> · 416575266147026821_<18> · 213317086472810637274561_<24>

5·10⁶⁷-7 =

49999999999999999999999999999999999999999999999999999999999999999993_<68>

= 31 · 47 · 571 · 1048613 · 1752917 · 1560644909_<10> · 20950464386167750432212296269213354218271_<41>

5·10⁶⁸-7 =

499999999999999999999999999999999999999999999999999999999999999999993_<69>

= 59 · 311 · 6131 · 103398841918382830739_<21> · 42984374654409517358576633764168178249173_<41>

5·10⁶⁹-7 =

4999999999999999999999999999999999999999999999999999999999999999999993_<70>

= 61 · 67767248279_<11> · 1155499459489_<13> · 154458187190039_<15> · 6777033586715618523743101096957_<31>

5·10⁷⁰-7 =

49999999999999999999999999999999999999999999999999999999999999999999993_<71>

= 37101184972585473808449658591_<29> · 1347665850482824760328258132744229906576423_<43>

5·10⁷¹-7 =

499999999999999999999999999999999999999999999999999999999999999999999993_<72>

= 13 · 9465499 · 4063339762810017891128776038277375713468623097581908945155616039_<64>

5·10⁷²-7 =

4999999999999999999999999999999999999999999999999999999999999999999999993_<73>

= 23 · 109 · 1277 · 10211 · 68899 · 14953022203397_<14> · 148461758415656846153369297317127124558365539_<45>

5·10⁷³-7 =

49999999999999999999999999999999999999999999999999999999999999999999999993_<74>

= 3067 · 179120169079558440491_<21> · 91014741057644444189576390657225110196017315532369_<50>

5·10⁷⁴-7 =

499999999999999999999999999999999999999999999999999999999999999999999999993_<75>

= 2927 · 153855659 · 375347857 · 2958011557133230463311851690373741277332037527370911093_<55>

5·10⁷⁵-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999993_<76>

= 107 · 2657 · 81199 · 216592787940278489897742928147021498149051251110376951758856811493_<66>

5·10⁷⁶-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999993_<77>

= 397 · 73354987151_<11> · 1716919179927286202844112758186223459536934511434710652213360019_<64>

5·10⁷⁷-7 =

499999999999999999999999999999999999999999999999999999999999999999999999999993_<78>

= 13 · 4623523 · 43723913 · 1197095550647_<13> · 34460738273033_<14> · 81377972988944869_<17> · 56672757728493222581_<20>

5·10⁷⁸-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999999993_<79>

= 16766065568376651346511197700054717_<35> · 298221427061024988706460366279980266175899629_<45> (Makoto Kamada / GGNFS-0.70.1 / 0.10 hours)

5·10⁷⁹-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999999993_<80>

= 211 · 714169 · 55250600379726167188919_<23> · 6005505272555399767145053157832039662696284665533_<49>

5·10⁸⁰-7 =

499999999999999999999999999999999999999999999999999999999999999999999999999999993_<81>

= definitely prime number

5·10⁸¹-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999993_<82>

= 499 · 759691 · 71582796316739_<14> · 184256924376313044271953621765123546709859837783983922565443_<60>

5·10⁸²-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999993_<83>

= 17 · 19 · 31 · 128677 · 54072751199_<11> · 757903833481_<12> · 946917821867908179868309943760352685816913647409247_<51>

5·10⁸³-7 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999993_<84>

= 13 · 67 · 47186149 · 2671373518318949_<16> · 4554101420064112391474936550051041609255757926678280454583_<58>

5·10⁸⁴-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<85>

= 313 · 358526237 · 579199171 · 43603351973_<11> · 526236223495249_<15> · 3352557044844704360277322028071054780459_<40>

5·10⁸⁵-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<86>

= 43 · 1033 · 275027 · 3557681 · 76488851023235281_<17> · 1487085545710633687727_<22> · 10114043139228676295960887955663_<32>

5·10⁸⁶-7 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<87>

= 29² · 594530321046373365041617122473246135552913198573127229488703923900118906064209274673_<84>

5·10⁸⁷-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<88>

= definitely prime number

5·10⁸⁸-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<89>

= 117643 · 1661574551308575217_<19> · 4818951778772834132066222017_<28> · 53080071723854930090919480862491195259_<38>

5·10⁸⁹-7 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<90>

= 13 · 415051745011_<12> · 788529654001610970298617524900339569_<36> · 117518537356735510440202494870970890162079_<42> (Makoto Kamada / msieve 0.83 / 20 minutes)

5·10⁹⁰-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<91>

= 139 · 35971223021582733812949640287769784172661870503597122302158273381294964028776978417266187_<89>

5·10⁹¹-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<92>

= 78929 · 633480723181593584107235616820180161917672845215320097809423659238049386157179237035817_<87>

5·10⁹²-7 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<93>

= 13898534876321_<14> · 3440273961349995002617157311_<28> · 10457020387658725328682433938865903245784520194806503_<53>

5·10⁹³-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<94>

= 103 · 5252783213_<10> · 529577956675289_<15> · 17450722103182341305546808006419221258709763956695822515873760047283_<68>

5·10⁹⁴-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<95>

= 23 · 114102294660144869195038986600073_<33> · 19052316607245177866563142667749361827148622136459302807712567_<62> (Makoto Kamada / GGNFS-0.70.7 / 0.37 hours)

5·10⁹⁵-7 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<96>

= 13 · 179 · 147551 · 163042062190369536263_<21> · 16702468335085249058640040679_<29> · 534750435614048618897064585714381069217_<39>

5·10⁹⁶-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<97>

= 173 · 2503 · 186635591099_<12> · 198114429219251_<15> · 312285973075481428509859788775946627773582677365627687792625200603_<66>

5·10⁹⁷-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<98>

= 31 · 10267687 · 483293389 · 46219880844617_<14> · 7032277715429545805640961265902597701817957505147814072768352022813_<67>

5·10⁹⁸-7 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<99>

= 17 · 6548897 · 31381979430881_<14> · 143110859351174569058512918213859993696399069726919602709362823783032098001897_<78>

5·10⁹⁹-7 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<100>

= 4647535350279428239_<19> · 193967957401516739303981_<24> · 5546478196456947532042934374127753263211897346871605349427_<58>

5·10¹⁰⁰-7 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<101>

= 19 · 310649677693_<12> · 1918486924742347345734133949848177_<34> · 4415568763140683818638576264263176498579946980278990127_<55> (Makoto Kamada / GGNFS-0.70.7 / 0.54 hours)

5·10¹⁰¹-7 =

4(9)₁₀₀3_<102>

= 13 · 157 · 907 · 72421 · 2049527364858239384321700008279_<31> · 1819707034429694933633507125502307907447534493137381455537521_<61> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=4016183088 for P31 / Sep 11, 2007)

5·10¹⁰²-7 =

4(9)₁₀₁3_<103>

= 317257 · 911565062767_<12> · 17289049565015714866216774819650309685722023179251734283300928716766662833652643607647_<86>

5·10¹⁰³-7 =

4(9)₁₀₂3_<104>

= 1054033 · 11594362361_<11> · 4410131384499304810512717460695947827_<37> · 927721024511601037911354571948957412235819374408843_<51> (Sinkiti Sibata / Msieve v. 1.26 for P37 x P51 / 6.29 hours on Pentium3 750MHz, Windows Me / Sep 18, 2007)

5·10¹⁰⁴-7 =

4(9)₁₀₃3_<105>

= definitely prime number

5·10¹⁰⁵-7 =

4(9)₁₀₄3_<106>

= 94496578100629_<14> · 34485434914764315953179_<23> · 75180227371604432835867829_<26> · 20408664194956440645663064675717247969868787_<44>

5·10¹⁰⁶-7 =

4(9)₁₀₅3_<107>

= 43 · 541 · 701 · 1688573 · 166618913 · 10897882677034909209294504894905091911316444503877455753872874329547523263248540221839_<86>

5·10¹⁰⁷-7 =

4(9)₁₀₆3_<108>

= 13 · 636360113413_<12> · 463686938737063_<15> · 2781475007266589773_<19> · 46862308287772426188402823215210430717710093400376526499970203_<62>

5·10¹⁰⁸-7 =

4(9)₁₀₇3_<109>

= definitely prime number

5·10¹⁰⁹-7 =

4(9)₁₀₈3_<110>

= 211 · 40638029 · 5831159396154517312667288943817549980700209396549059388570499739709931417927848645793216256550405647_<100>

5·10¹¹⁰-7 =

4(9)₁₀₉3_<111>

= 479 · 1043841336116910229645093945720250521920668058455114822546972860125260960334029227557411273486430062630480167_<109>

5·10¹¹¹-7 =

4(9)₁₁₀3_<112>

= 56737 · 8860929797_<10> · 16330700522802309872083_<23> · 108683402929053105713489129_<27> · 5603460275962177162975326602918912342098725489391_<49>

5·10¹¹²-7 =

4(9)₁₁₁3_<113>

= 31 · 199 · 1726577810038023749_<19> · 6338023959737574815597795059605732175772951_<43> · 740653709666671254036993453169242903252989973403_<48> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 1.95 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 18, 2007)

5·10¹¹³-7 =

4(9)₁₁₂3_<114>

= 13 · 47 · 160507 · 5098410695886460514741458013104281862494701094303497804425516334150530392253262694785163017144415450236009_<106>

5·10¹¹⁴-7 =

4(9)₁₁₃3_<115>

= 17 · 29 · 419 · 1128509 · 841335827347_<12> · 5222106247087_<13> · 4881900777010142662031771371698492484449667338927809457587940893238989032627879_<79>

5·10¹¹⁵-7 =

4(9)₁₁₄3_<116>

= 163 · 667712741 · 70826965683904909546478403073_<29> · 6486256219362160791376151729115588151998726511950211431157707264717123110327_<76>

5·10¹¹⁶-7 =

4(9)₁₁₅3_<117>

= 23 · 67 · 100829 · 14243447 · 885300919 · 255197189223493082856519016310912052371661839729900418698259034228723460643852652649778842009_<93>

5·10¹¹⁷-7 =

4(9)₁₁₆3_<118>

= 8761 · 24329 · 92353 · 36290089456341223_<17> · 447805373261740949269_<21> · 659243142383270449591226863_<27> · 23709265388135820837211392460156027023629_<41>

5·10¹¹⁸-7 =

4(9)₁₁₇3_<119>

= 19 · 18973 · 27407 · 500519 · 43963897 · 229986395611119844406207233493384206475870468549130003646531312275615822741149642479975544419039_<96>

5·10¹¹⁹-7 =

4(9)₁₁₈3_<120>

= 13² · 1108453 · 55111498823_<11> · 48431039903573129525530940979134099221230901993607942118717921853010301225378553817053265672363899163_<101>

5·10¹²⁰-7 =

4(9)₁₁₉3_<121>

= 131 · 38167938931297709923664122137404580152671755725190839694656488549618320610687022900763358778625954198473282442748091603_<119>

5·10¹²¹-7 =

4(9)₁₂₀3_<122>

= 281243 · 22344011 · 33910627 · 4647334392013_<13> · 50487911219871609964463763562996389377126375643668830965066589421730982504228440199433191_<89>

5·10¹²²-7 =

4(9)₁₂₁3_<123>

= 18701 · 93529 · 8183225572771329171976649_<25> · 34932877456214753222916083317913202354532411073838371810692549446482878447312404028822333_<89>

5·10¹²³-7 =

4(9)₁₂₂3_<124>

= 113 · 889867277477_<12> · 3323194013521_<13> · 45712463552621_<14> · 106202306503847201_<18> · 816466141480652325139_<21> · 1896620487565250106911_<22> · 1990322414978772708655037_<25>

5·10¹²⁴-7 =

4(9)₁₂₃3_<125>

= 38611 · 450361 · 2871839245138288177663_<22> · 96307871964544146356044436726531_<32> · 10396239289011278195567666108316680054766182724101112004334711_<62> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.52 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 18, 2007)

5·10¹²⁵-7 =

4(9)₁₂₄3_<126>

= 13 · 2857 · 1574782569067_<13> · 5838950571776281_<16> · 292924442772209379166691899342190629_<36> · 4998105296856734377409878285199029073331658288276776782731_<58> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P36 x P58 / 6.66 hours on Cygwin on AMD XP 2700+ / Sep 19, 2007)

5·10¹²⁶-7 =

4(9)₁₂₅3_<127>

= 59 · 443 · 64069667569308563_<17> · 2985807439808549402240060899147545904877923827320044411718831371061642167764003760029209151616134146348603_<106>

5·10¹²⁷-7 =

4(9)₁₂₆3_<128>

= 31 · 43 · 103 · 20522387151637323913397836943_<29> · 17744948937476731372135347675897562789446075044512475819147521086224193210459696219926237686349_<95>

5·10¹²⁸-7 =

4(9)₁₂₇3_<129>

= 107 · 131730407729_<12> · 94196732126408608783907_<23> · 376586159111950198076153416272247530324334892097736740791964622590496260987796144883295672233_<93>

5·10¹²⁹-7 =

4(9)₁₂₈3_<130>

= 61 · 3347 · 922379141 · 3756593053_<10> · 9451394023069_<13> · 747799144186381110136249098524659330519902004795953457052035634572552874340864723206643341467_<93>

5·10¹³⁰-7 =

4(9)₁₂₉3_<131>

= 17 · 160668811253268490388087_<24> · 6467580254270363725519254058868497565332259571617_<49> · 2830399090682433194863117944409611442158552826222489705151_<58> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.74 hours on Core 2 Duo E6300 1.86GHz, Windows Vista and Cygwin / Sep 20, 2007)

5·10¹³¹-7 =

4(9)₁₃₀3_<132>

= 13 · 8053 · 4776050970015952010239853279714201109954245431707247179741902205580337953366638328764244572018072576870540362406747604810438537_<127>

5·10¹³²-7 =

4(9)₁₃₁3_<133>

= 1803259 · 21637095769_<11> · 704898240089_<12> · 66744018120546449161802491041419358230857_<41> · 2723793341179006978601831413759133998675258378764478782653155571_<64> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.35 hours on Core 2 Quad Q6600 / Sep 19, 2007)

5·10¹³³-7 =

4(9)₁₃₂3_<134>

= 401238263593464253441_<21> · 162299914415288288281496198151331987381_<39> · 767802233705694607885077764652977937099475049390304533874402633274801489333_<75> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.90 hours on Core 2 Quad Q6600 / Sep 19, 2007)

5·10¹³⁴-7 =

4(9)₁₃₃3_<135>

= 1723 · 6271 · 109843567 · 64745642610161_<14> · 27318082727785891_<17> · 238183974037552708162730344106983506093311068864900283347267035738831195232929519606833513_<90>

5·10¹³⁵-7 =

4(9)₁₃₄3_<136>

= 797 · 270450534004642722167_<21> · 1146290454082517684833_<22> · 44098221600025182406699_<23> · 458889465955324560904459706434155409522020550275117434515042089214321_<69>

5·10¹³⁶-7 =

4(9)₁₃₅3_<137>

= 19 · 139 · 6967 · 304949 · 43352727754257453263558076969496197958853012323126787749_<56> · 205547477085329019216150576259951986360308957854427429660726601104519_<69> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 3.57 hours on Core 2 Quad Q6600 / Sep 19, 2007)

5·10¹³⁷-7 =

4(9)₁₃₆3_<138>

= 13 · 673573 · 7297977952249711_<16> · 9394428712264339107505356592635883_<34> · 832854352226576752484715428137571713119476790537271630219939252608157903031281189_<81> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 3.58 hours on Core 2 Quad Q6600 / Sep 19, 2007)

5·10¹³⁸-7 =

4(9)₁₃₇3_<139>

= 23 · 97 · 76129 · 335507 · 589299164638605947647771819491726255852140418406087_<51> · 148895954377143576247780304403642128934646012521450079487879648263630397923_<75> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 5.39 hours on Core 2 Quad Q6600 / Sep 19, 2007)

5·10¹³⁹-7 =

4(9)₁₃₈3_<140>

= 173 · 211 · 647 · 162643631237_<12> · 29744296532640139_<17> · 134842814492239828697_<21> · 3245402695139569689360206975033043528955418172174213055002952183653414702901833017863_<85>

5·10¹⁴⁰-7 =

4(9)₁₃₉3_<141>

= 3373 · 1903723828713677_<16> · 77866332008327971949596506994505948866601940202923856949168853767263785352148287877408555171270086954169900145155626110833_<122>

5·10¹⁴¹-7 =

4(9)₁₄₀3_<142>

= 11923606613227_<14> · 6132918427402613853147289_<25> · 68374659536092650276910729465562168851654618520575858973205281384056260566506199343187440865506285500131_<104>

5·10¹⁴²-7 =

4(9)₁₄₁3_<143>

= 29 · 31 · 1979 · 3277843 · 2223141064464610943664418818229457665011638221_<46> · 3856642203506996485674317701132711550770098652412611342040704528870940226564907142911_<85> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 19.11 hours on Cygwin on AMD XP 2700+ / Sep 20, 2007)

5·10¹⁴³-7 =

4(9)₁₄₂3_<144>

= 13 · 665794015879030348762037_<24> · 2457983453888362366242036666452627350164707_<43> · 23502161675736277599130693612709951586027071255823077510499322192862480222179_<77> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 8.30 hours on Core 2 Quad Q6600 / Sep 20, 2007)

5·10¹⁴⁴-7 =

4(9)₁₄₃3_<145>

= definitely prime number

5·10¹⁴⁵-7 =

4(9)₁₄₄3_<146>

= 348607637797598731797334666578807254587298021398884344017102244986489_<69> · 143427723832688809873861290555759641653195758704762012607777555925493706059137_<78> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 8.30 hours on Core 2 Quad Q6600 / Sep 19, 2007)

5·10¹⁴⁶-7 =

4(9)₁₄₅3_<147>

= 17 · 14921539 · 248698679 · 471359479252760034787043_<24> · 39419505496131463374918351524556451155850236259_<47> · 426550611477417551441580681597762746623708391057419314031757_<60> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 10.51 hours on Core 2 Quad Q6600 / Sep 20, 2007)

5·10¹⁴⁷-7 =

4(9)₁₄₆3_<148>

= 181 · 1935949243_<10> · 39143694405820216125374984826505126817968351_<44> · 364531993422512812212311418475269937871127766102122723800434357272554629366883846804656575121_<93> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 10.32 hours on Core 2 Quad Q6600 / Sep 20, 2007)

5·10¹⁴⁸-7 =

4(9)₁₄₇3_<149>

= 43 · 4871 · 85730161306764919729693936025764142920932871039_<47> · 2784516388469492464533403078786154427691160272586017433488469433231396033078317295048722652094979_<97> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 12.50 hours on Core 2 Quad Q6600 / Sep 20, 2007)

5·10¹⁴⁹-7 =

4(9)₁₄₈3_<150>

= 13 · 67 · 223 · 61166327 · 1863894902146250689138702961366278706980495490732424870829_<58> · 22579439841623531991161014465575701572092571425255411323896978985792253366291587_<80> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 9.20 hours on Core 2 Quad Q6600 / Sep 20, 2007)

5·10¹⁵⁰-7 =

4(9)₁₄₉3_<151>

= 384637449547853_<15> · 100387217672603863429_<21> · 6154380393511946888616304633963_<31> · 21040482008161263229987519894156551396567478881186385296972651591714274238026715657003_<86> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 11.34 hours on Core 2 Quad Q6600 / Sep 21, 2007)

5·10¹⁵¹-7 =

4(9)₁₅₀3_<152>

= 1413677 · 7305622079024944242228091_<25> · 293508139448334928739242445881249_<33> · 16494625527091676916421984392283134811156918776772753098253796574689797190832398167922951_<89> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000, sigma=4030380561 for P33 / Sep 19, 2007)

5·10¹⁵²-7 =

4(9)₁₅₁3_<153>

= 4984608868886021_<16> · 5760022922783149935357790511_<28> · 188518073602970413450229413063_<30> · 940840568278596734516455337701_<30> · 98185120607867205620512879136643224913634476404281_<50> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P30 x P30 x P50 / 14.68 hours on Core 2 Quad Q6600 / Sep 21, 2007)

5·10¹⁵³-7 =

4(9)₁₅₂3_<154>

= 1487 · 12703 · 27064010767_<11> · 23985742229316002405160508997718416270586975005491_<50> · 407762626593054648807646182158981927854290181355167860837282173381501147582605582632029_<87> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 41.29 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 24, 2007)

5·10¹⁵⁴-7 =

4(9)₁₅₃3_<155>

= 19 · 149 · 147343123 · 2329496337443922537883208273725168308815052824721528210923_<58> · 51456261798342511671036399891501546912876135404430952940563337964752143215157251247207_<86> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 19.32 hours on Cygwin on AMD 64 3200+ / Sep 21, 2007)

5·10¹⁵⁵-7 =

4(9)₁₅₄3_<156>

= 13 · 4887973723987924302596249_<25> · 7868605813649721747411048159587323652259485986648814883959772145878600792023785070403854677543118135677018149906873458671229402789_<130>

5·10¹⁵⁶-7 =

4(9)₁₅₅3_<157>

= 2269 · 702447342551455682763805673011418695171148173600333160411_<57> · 3137052122420974879105045171402526152498877264559652000048811419905235475853470855786187595915127_<97> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 32.73 hours on Cygwin on AMD 64 3400+ / Sep 21, 2007)

5·10¹⁵⁷-7 =

4(9)₁₅₆3_<158>

= 31 · 12289 · 92849 · 71760200050224607_<17> · 2339215031630217515812790449_<28> · 8420943409703708470527474407287102862364991385557970300873744560754772535287577083102346570459805201561_<103>

5·10¹⁵⁸-7 =

4(9)₁₅₇3_<159>

= 5390202345891080489389_<22> · 1354865559915182282616896057_<28> · 68465018883033310237382905543935147904388689758999616830093497281659873505786443157547884425735504372603354341_<110>

5·10¹⁵⁹-7 =

4(9)₁₅₈3_<160>

= 47 · 964644799 · 270706849725621910507211_<24> · 1364391784808783411765902177253121572084574108528241_<52> · 298583894675727940289845675134760397414301294012470876284306516517828237131_<75> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 40.15 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 23, 2007)

5·10¹⁶⁰-7 =

4(9)₁₅₉3_<161>

= 23 · 740021 · 28014221 · 198992339071613_<15> · 526966754081553807419246158630891619691357255009555423877795426142084090168730673521717224263207299774594664474105912441184529300427_<132>

5·10¹⁶¹-7 =

4(9)₁₆₀3_<162>

= 13 · 103 · 58693 · 85201 · 56518060850527_<14> · 4798551110626920975723815067816871876805464439071_<49> · 275334764005974011025338002993961748286200016743548777673724333243675964471822107503727_<87> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 94.90 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 29, 2007)

5·10¹⁶²-7 =

4(9)₁₆₁3_<163>

= 17 · 1163 · 148309339 · 387720132193027_<15> · 32186888333809678325979899492525673198029_<41> · 136639266967774480350045857113895807555932147258323470751247259644932218298158286602940005007959_<96> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 66.77 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 25, 2007)

5·10¹⁶³-7 =

4(9)₁₆₂3_<164>

= 1244029 · 3045777474311016078416962103126374071511_<40> · 13195970300684442140409379802151398451013119494061176587343764266942527286513791024515689055116238602995731201645467547_<119> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 63.80 hours on Cygwin on AMD 64 3400+ / Sep 24, 2007)

5·10¹⁶⁴-7 =

4(9)₁₆₃3_<165>

= 971 · 285023 · 108463750201_<12> · 29942580322103_<14> · 76161147093811567_<17> · 7304046869986958296235241999521204712451275992225266362515411443035210607717660009742289090627834390768388949164421_<115>

5·10¹⁶⁵-7 =

4(9)₁₆₄3_<166>

= 914885729 · 4261399463897_<13> · 6040387634947_<13> · 1491052684691540816159207_<25> · 319197319597996510039273971999701_<33> · 446101691024302128170720348856355665147674572755074743500867309182182952809_<75> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 gnfs for P33 x P75 / 16.02 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 22, 2007)

5·10¹⁶⁶-7 =

4(9)₁₆₅3_<167>

= 5483 · 3889621 · 8649439289_<10> · 271054434940743548582300859649876243368626158527833836313326005209740194326501391589715211010757656716311857912711778853615968849354103575397184759_<147>

5·10¹⁶⁷-7 =

4(9)₁₆₆3_<168>

= 13 · 27166347444900583109731812696436491851217550133_<47> · 1415778788059272495359858060016860902525618476647398886043545011620987173109239480930954828521246215935467936088821001417_<121> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.26 / Sep 29, 2007)

5·10¹⁶⁸-7 =

4(9)₁₆₇3_<169>

= 1459 · 111653 · 67252373 · 3189132767981020671155953471_<28> · 143108062812294962824865027808543783899442913205895699831301238648482926079526694440822068839062607272539510118578697787187573_<126>

5·10¹⁶⁹-7 =

4(9)₁₆₈3_<170>

= 43 · 211 · 1472137 · 2321750736611301907097_<22> · 574482675743693221950617_<24> · 5744494079787571396717760190250240838888041_<43> · 488569723676345326019989715470508850328546498038944485790862224772950377_<72> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 gnfs for P43 x P72 / 48.07 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 24, 2007)

5·10¹⁷⁰-7 =

4(9)₁₆₉3_<171>

= 29 · 371840101717736949659_<21> · 36186346361901794734149614174823118926381921601_<47> · 1281359654549060281898606138184287341774636409267856035278076719876171866019239509683237360176741662263_<103> (Jeff Gilchrist / GGNFS & Msieve 1.41 snfs / 33.32 hours on Intel Core2 Q9550 @ 3.4GHz in Vista 64bit / Apr 13, 2009)

5·10¹⁷¹-7 =

4(9)₁₇₀3_<172>

= 5147 · 411611 · 2360091624364435526877052179025465745944764188110542162197384679854257941627010829866193137379667973124807809183695865693967616711747807356994388802391976651016929_<163>

5·10¹⁷²-7 =

4(9)₁₇₁3_<173>

= 19 · 31 · 561884371 · 280026875411_<12> · 67993514724936523_<17> · [7934883439367071791244096014322729164743604690975075401271316559972811019291810441055577946398351070680595034190755898045627521008799_<133>] SUBMIT/RESERVE

5·10¹⁷³-7 =

4(9)₁₇₂3_<174>

= 13 · 193 · 306841171291_<12> · 2519767069331_<13> · 257748006652610572280504698004953405365346938407931245822467342813536009414033654613727105176649029695450411600192640661549839408187045128924833437_<147>

5·10¹⁷⁴-7 =

4(9)₁₇₃3_<175>

= 876443 · 26652181993_<11> · 46574391450747667692326738358784174396260537130314435096266571242987_<68> · 4595855531487340412820083355763538183249547281424390205839848914976852602041592456013124361_<91> (Ignacio Santos / GGNFS, Msieve snfs / 56.13 hours / Nov 6, 2009)

5·10¹⁷⁵-7 =

4(9)₁₇₄3_<176>

= 397 · 23059 · 342905429 · 1249471115353327_<16> · 12747894082083550144665508075190532379845350195267003908558739090797759309848111758341688147396955561558954187581255788747834101541192878999299677_<146>

5·10¹⁷⁶-7 =

4(9)₁₇₅3_<177>

= 1657 · 6763 · 22258393 · 354040122757_<12> · 9893318846936249_<16> · 2074348454610922095857_<22> · 275891360976885754540302396080461441500432236868209087253016903988877635283766951452647471221411917376212984273511_<114>

5·10¹⁷⁷-7 =

4(9)₁₇₆3_<178>

= 159222322628756092199652384637699_<33> · [31402631976786545252692940445059838167581831564267435779280007674035294043391904450027457606945967767231885984890715247474553329384690419652493907_<146>] (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=2140185048 for P33 / Sep 18, 2007) SUBMIT/RESERVE

5·10¹⁷⁸-7 =

4(9)₁₇₇3_<179>

= 17 · 2941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529_<178>

5·10¹⁷⁹-7 =

4(9)₁₇₈3_<180>

= 13 · 157 · 319001 · 740321 · 1275172341197_<13> · 3168934862695211_<16> · 185503352859609293_<18> · 20824276942434306550878491316554921169577070969181605095403_<59> · 66452449689374424275673726430638274402626958940230091126916841_<62> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 gnfs for P59 x P62 / 84.55 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 28, 2007)

5·10¹⁸⁰-7 =

4(9)₁₇₉3_<181>

= 109 · 1488967 · 8420351363_<10> · 25030322608453531_<17> · 10767890436875898837091171_<26> · 139863195581166062045796944539175077355000899883699_<51> · 97057186527914640161646341782139678769623110723336236535802668798096963_<71> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona gnfs for P51 x P71 / 85.86 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jul 11, 2008)

5·10¹⁸¹-7 =

4(9)₁₈₀3_<182>

= 107 · 167 · 5349247229374462217450139738261038814734050044867358474115901989701104007451021_<79> · 523090803940434651997243625173949810907397035980386998037130621336689305210083737010025418468122257_<99> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.38 snfs / 42.26 hours, 5.13 hours / Sep 28, 2008)

5·10¹⁸²-7 =

4(9)₁₈₁3_<183>

= 23 · 67 · 139 · 173 · 619 · 785357 · 1597108512500653_<16> · 17378579291181293321166829636389673173837138459709450399729628054721742795449826555582403609927780677732006044769952401980750582943517175598828616432441_<152>

5·10¹⁸³-7 =

4(9)₁₈₂3_<184>

= 347 · 66733993288307_<14> · 67106019160670455809392201_<26> · [3217599158693085813974054899630709906181651894627236631745035312383841465298619515326627491272544350164733114269611569547259824983270898625617_<142>] SUBMIT/RESERVE

5·10¹⁸⁴-7 =

4(9)₁₈₃3_<185>

= 59 · 2381 · 3823 · 6566081 · 31425551790847_<14> · 80039443926543333426030393619033027817759_<41> · 5637169435779042518564618258869429332554961926507393446662237475156718430440794073039044584353258208612957374372233_<115> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=2736760227 for P41 / Feb 14, 2009)

5·10¹⁸⁵-7 =

4(9)₁₈₄3_<186>

= 13 · 67867 · 3447997960776944762766553717092214661_<37> · [164361841986391913741776198251558299154755901642009269837282938194472792768129370249771101946669967081043628829357623935904923280758172290316603_<144>] (matsui / GMP-ECM 6.2.1 for P37 / Nov 19, 2008) SUBMIT/RESERVE

5·10¹⁸⁶-7 =

4(9)₁₈₅3_<187>

= 3671 · 967139 · 19303309 · 222663899 · 327653756062797986966317895989409474871494218668404192641212346698722074203075311175876536326791922156797093987472931501762012692828638090940189292463194406074267_<162>

5·10¹⁸⁷-7 =

4(9)₁₈₆3_<188>

= 31 · 8891777965226653171523_<22> · [181392656464666725629886675234629682794694000644566293382929704796239848545316099452109674860232622255558936161476288027573393291607625961419218254512862776784050061_<165>] SUBMIT/RESERVE

5·10¹⁸⁸-7 =

4(9)₁₈₇3_<189>

= 1013 · 5167 · 304746299542785906368113_<24> · 305640055064400234524887_<24> · 1125757121291323820335846959911_<31> · 7781904029500380045551718378173661286980891261937589_<52> · 117069244032165610046166201324768623892290569937890367_<54> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=1218311065 for P31, pol51+Msieve 1.36 gnfs for P52 x P54 / 5.1 hours on Opteron-2.2GHz; Linux x86_64 / Aug 7, 2008)

5·10¹⁸⁹-7 =

4(9)₁₈₈3_<190>

= 61 · 2039731 · 40185305373480178690550733260865296839085764692324303676462769829557483194645941379396452237100277872545890433270005846399337566137276973463979190248575931231562027493644673862531423_<182>

5·10¹⁹⁰-7 =

4(9)₁₈₉3_<191>

= 19 · 43 · 1765787545312409783860474993038088441_<37> · 1221634377469420523013631539626062841035324877347830895794628620683_<67> · 28370582518084984958701082392541132842482155696727816580550567234311865111305350903443_<86> (Kenji Ibusuki / GGNFS-0.77.1 snfs / 476.75 hours on Core 2 Quad Q6700 (2.66GHz), Windows XP and Cygwin / Jul 25, 2008)

5·10¹⁹¹-7 =

4(9)₁₉₀3_<192>

= 13 · 439 · 33589 · 16912196387_<11> · 11031149805859_<14> · [13981193998111779895965369977288112002061085578160558577168953517644453903588640945053128157782753534151657175875281748418532352726000960730723590556311029176327_<161>] SUBMIT/RESERVE

5·10¹⁹²-7 =

4(9)₁₉₁3_<193>

= 405074911 · 39130784437_<11> · 1055724654930419_<16> · 2150492628020236856777894383_<28> · [138940060255352917497510962318998533818910635413057695065614809172817655873731032561767948732767643562656642737775501722271172720487_<132>] SUBMIT/RESERVE

5·10¹⁹³-7 =

4(9)₁₉₂3_<194>

= 569 · 28499 · 269121613 · 11457227573103250109817229870297335385107798398923010444037851437174756681648116063459204896630625656100360517010518779647321752129136364465920186441834102789210115920021908967431_<179>

5·10¹⁹⁴-7 =

4(9)₁₉₃3_<195>

= 17 · 1981997 · 128401228061807_<15> · 132786590634016095535035300329071_<33> · 870351520581469776388414556682719376942987278061824153278788586760800351254966171514056538147644847695340761111994287303596157877520893178381_<141> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=2621838758 for P33 / Oct 1, 2008)

5·10¹⁹⁵-7 =

4(9)₁₉₄3_<196>

= 103 · 1538107507489534601481055687712361944471_<40> · 31560660801675883119225896760035021175119702951582155400620760556441646547154939591760010210551656217315637522354907153165554249169443274017081188872379961_<155> (Wataru Sakai / Msieve / 490.56 hours / Feb 28, 2009)

5·10¹⁹⁶-7 =

4(9)₁₉₅3_<197>

= 163 · 433 · 2601091 · 50492326061_<11> · 141190131546931_<15> · 7027025048683674338627_<22> · 5436729613278935910309716165609361680383852884911027089741280514032652389015334902303835695416537439256468752744602291441266980009240684941_<139>

5·10¹⁹⁷-7 =

4(9)₁₉₆3_<198>

= 13² · 233 · 16519 · 184440331414183072368758572400203_<33> · 4167616335209957364214112876352374503118967976401038732237050176596006521469345042398133259675250990934356166420514911540662385269178837924485634203795709837_<157> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1319538754 for P33 / Sep 18, 2007)

5·10¹⁹⁸-7 =

4(9)₁₉₇3_<199>

= 29 · 6555389 · 316882103754701_<15> · 2619690778204946864854133_<25> · [31682963312236411792874062813533735164714226555752487704824049205370107915864534936091146346207070584552388083685174823367458546113341563417366968478241_<152>] SUBMIT/RESERVE

5·10¹⁹⁹-7 =

4(9)₁₉₈3_<200>

= 211 · 883 · 1501471 · 74002538108029_<14> · 319096574418161_<15> · 7569045915723240391548215924243925251674123634302100110435849421456902429192268045664469927104869038184287028240832993655976212377420078746494561115383609038539_<160>

5·10²⁰⁰-7 =

4(9)₁₉₉3_<201>

= 473789 · 78915451 · 565632973 · 10848045023_<11> · 736165333455326758950277_<24> · 2960475207313004726408829193505231199954869736796255077520524039185120575854306216098298246666961177864124250528534271614052583291707516356165289_<145>

4. References

• A103002 (On-Line Encyclopedia of Integer Sequences)