Factorizations of 599...993

Table of contents

1. About 599...993
   • First ten terms
   • General term
2. Prime numbers of the form 599...993
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 599...993
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 599...993

First ten terms

53, 593, 5993, 59993, 599993, 5999993, 59999993, 599999993, 5999999993, 59999999993

General term

6·10ⁿ-7

2. Prime numbers of the form 599...993

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

23.73%

Results

1. 6·10¹-7 = 53 is prime.
2. 6·10²-7 = 593 is prime.
3. 6·10⁵-7 = 599993 is prime.
4. 6·10⁶-7 = 5999993 is prime.
5. 6·10⁷-7 = 59999993 is prime.
6. 6·10¹¹-7 = 5(9)₁₀3_<12> is prime.
7. 6·10¹⁷-7 = 5(9)₁₆3_<18> is prime.
8. 6·10²⁹-7 = 5(9)₂₈3_<30> is prime.
9. 6·10⁴²-7 = 5(9)₄₁3_<43> is prime.
10. 6·10⁴⁷-7 = 5(9)₄₆3_<48> is prime.
11. 6·10⁹⁶-7 = 5(9)₉₅3_<97> is prime.
12. 6·10¹⁰⁸-7 = 5(9)₁₀₇3_<109> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PFGW / Jan 4, 2005)
13. 6·10¹⁶⁶-7 = 5(9)₁₆₅3_<167> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PFGW / Jan 4, 2005)
14. 6·10²¹⁰-7 = 5(9)₂₀₉3_<211> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PFGW / Jan 4, 2005)
15. 6·10³³¹-7 = 5(9)₃₃₀3_<332> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PFGW / Jan 4, 2005)
16. 6·10¹⁰²²-7 = 5(9)₁₀₂₁3_<1023> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 14, 2006)
17. 6·10³⁵⁹³-7 = 5(9)₃₅₉₂3_<3594> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
18. 6·10⁴⁴²⁶-7 = 5(9)₄₄₂₅3_<4427> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
19. 6·10⁵⁷⁰⁴-7 = 5(9)₅₇₀₃3_<5705> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)

3. Factorizations of 599...993

Last update

Nov 4, 2009

Completed up to

• n≤100 / Jan 4, 2005
• n≤150 / Oct 6, 2007

Range

n≤200

Terms which have not been factored yet

n=174, 177, 178, 181, 182, 186, 187, 188, 191, 192, 195, 198, 199, 200 (14/200)

Results

6·10¹-7 =

53

= definitely prime number

6·10²-7 =

593

= definitely prime number

6·10³-7 =

5993

= 13 · 461

6·10⁴-7 =

59993

= 17 · 3529

6·10⁵-7 =

599993

= definitely prime number

6·10⁶-7 =

5999993

= definitely prime number

6·10⁷-7 =

59999993

= definitely prime number

6·10⁸-7 =

599999993

= 19 · 31578947

6·10⁹-7 =

5999999993_<10>

= 13 · 79 · 541 · 10799

6·10¹⁰-7 =

59999999993_<11>

= 29 · 2068965517_<10>

6·10¹¹-7 =

599999999993_<12>

= definitely prime number

6·10¹²-7 =

5999999999993_<13>

= 89 · 67415730337_<11>

6·10¹³-7 =

59999999999993_<14>

= 787973 · 76144741

6·10¹⁴-7 =

599999999999993_<15>

= 53 · 353 · 32070126677_<11>

6·10¹⁵-7 =

5999999999999993_<16>

= 13 · 23 · 571 · 35143414417_<11>

6·10¹⁶-7 =

59999999999999993_<17>

= 4583 · 13091861226271_<14>

6·10¹⁷-7 =

599999999999999993_<18>

= definitely prime number

6·10¹⁸-7 =

5999999999999999993_<19>

= 1699 · 3531489111241907_<16>

6·10¹⁹-7 =

59999999999999999993_<20>

= 11028463 · 5440467996311_<13>

6·10²⁰-7 =

599999999999999999993_<21>

= 17 · 10781 · 4752599 · 688830091

6·10²¹-7 =

5999999999999999999993_<22>

= 13 · 617 · 733 · 1020513512194201_<16>

6·10²²-7 =

59999999999999999999993_<23>

= 79 · 759493670886075949367_<21>

6·10²³-7 =

599999999999999999999993_<24>

= 59892607 · 10017930927601799_<17>

6·10²⁴-7 =

5999999999999999999999993_<25>

= 179591 · 206641 · 161677724003503_<15>

6·10²⁵-7 =

59999999999999999999999993_<26>

= 4357 · 13770943309616708744549_<23>

6·10²⁶-7 =

599999999999999999999999993_<27>

= 19 · 5983037 · 397483403 · 13278742877_<11>

6·10²⁷-7 =

5999999999999999999999999993_<28>

= 13 · 53 · 25919 · 3261851539_<10> · 103002934157_<12>

6·10²⁸-7 =

59999999999999999999999999993_<29>

= 127 · 7541 · 211481209 · 296242118034211_<15>

6·10²⁹-7 =

599999999999999999999999999993_<30>

= definitely prime number

6·10³⁰-7 =

5999999999999999999999999999993_<31>

= 12107 · 495581068803171718840340299_<27>

6·10³¹-7 =

59999999999999999999999999999993_<32>

= 61504211 · 975542959164210723717763_<24>

6·10³²-7 =

599999999999999999999999999999993_<33>

= 167 · 37243 · 294029 · 328095259370923855457_<21>

6·10³³-7 =

5999999999999999999999999999999993_<34>

= 13 · 461538461538461538461538461538461_<33>

6·10³⁴-7 =

59999999999999999999999999999999993_<35>

= 2172239 · 3532183 · 94169147 · 83040854829587_<14>

6·10³⁵-7 =

599999999999999999999999999999999993_<36>

= 79 · 22483 · 700871 · 481983097186913223857419_<24>

6·10³⁶-7 =

5999999999999999999999999999999999993_<37>

= 17 · 47 · 337 · 6102269495239_<13> · 3651599901328828049_<19>

6·10³⁷-7 =

59999999999999999999999999999999999993_<38>

= 23 · 5223744154822723_<16> · 499391925572289775717_<21>

6·10³⁸-7 =

599999999999999999999999999999999999993_<39>

= 29 · 193 · 77863 · 23210699 · 37243027 · 1592691342175931_<16>

6·10³⁹-7 =

5999999999999999999999999999999999999993_<40>

= 13 · 421 · 138118875509_<12> · 192456702329_<12> · 41242000985981_<14>

6·10⁴⁰-7 =

59999999999999999999999999999999999999993_<41>

= 53 · 17807 · 181387 · 439966736712977_<15> · 796633601687617_<15>

6·10⁴¹-7 =

599999999999999999999999999999999999999993_<42>

= 577 · 227233 · 471943 · 505429 · 29589091921_<11> · 648369672179_<12>

6·10⁴²-7 =

5999999999999999999999999999999999999999993_<43>

= definitely prime number

6·10⁴³-7 =

59999999999999999999999999999999999999999993_<44>

= 6707662624991_<13> · 8944993711588245680946765597223_<31>

6·10⁴⁴-7 =

599999999999999999999999999999999999999999993_<45>

= 19 · 943120875845659116601_<21> · 33483457080838616678747_<23>

6·10⁴⁵-7 =

5999999999999999999999999999999999999999999993_<46>

= 13² · 59 · 331765243 · 15911180617093_<14> · 113993278070931991717_<21>

6·10⁴⁶-7 =

59999999999999999999999999999999999999999999993_<47>

= 353 · 479 · 1249063 · 289496054091492737_<18> · 981327657887931169_<18>

6·10⁴⁷-7 =

599999999999999999999999999999999999999999999993_<48>

= definitely prime number

6·10⁴⁸-7 =

5999999999999999999999999999999999999999999999993_<49>

= 79 · 107 · 839 · 444723031 · 1902342890195876285162353169075909_<34>

6·10⁴⁹-7 =

59999999999999999999999999999999999999999999999993_<50>

= 1123120133_<10> · 59253379363694237609_<20> · 901595870063025752669_<21>

6·10⁵⁰-7 =

599999999999999999999999999999999999999999999999993_<51>

= 157 · 3713334933874823550473_<22> · 1029170844809185738010448613_<28>

6·10⁵¹-7 =

5999999999999999999999999999999999999999999999999993_<52>

= 13 · 120199 · 150727387 · 25475039918952119710550901041803854497_<38>

6·10⁵²-7 =

59999999999999999999999999999999999999999999999999993_<53>

= 17 · 3307 · 1067254842668848609900567423824685604510930468347_<49>

6·10⁵³-7 =

599999999999999999999999999999999999999999999999999993_<54>

= 53 · 113 · 100183670061779929871430956754049089998330272165637_<51>

6·10⁵⁴-7 =

5999999999999999999999999999999999999999999999999999993_<55>

= 61 · 9779113 · 36515383 · 41355563 · 743840813 · 8954310493272385470413_<22>

6·10⁵⁵-7 =

59999999999999999999999999999999999999999999999999999993_<56>

= 20420843800163_<14> · 2938174376492761654473439528014059309191411_<43>

6·10⁵⁶-7 =

599999999999999999999999999999999999999999999999999999993_<57>

= 89 · 5246013757_<10> · 225615555791401931_<18> · 5695905540104608779668243711_<28>

6·10⁵⁷-7 =

5999999999999999999999999999999999999999999999999999999993_<58>

= 13 · 461538461538461538461538461538461538461538461538461538461_<57>

6·10⁵⁸-7 =

59999999999999999999999999999999999999999999999999999999993_<59>

= 2928421 · 7952483675593_<13> · 2576409854015445608619897621459009274781_<40>

6·10⁵⁹-7 =

599999999999999999999999999999999999999999999999999999999993_<60>

= 23 · 143927654539_<12> · 131211841839534252299_<21> · 1381357641316319359046283431_<28>

6·10⁶⁰-7 =

5999999999999999999999999999999999999999999999999999999999993_<61>

= 257 · 389 · 15649 · 18082937 · 228238416673_<12> · 929232134463477429690580356717709_<33>

6·10⁶¹-7 =

59999999999999999999999999999999999999999999999999999999999993_<62>

= 79 · 97 · 709 · 37691 · 1720231 · 308729321 · 62210962859849_<14> · 8868230220130330872631_<22>

6·10⁶²-7 =

599999999999999999999999999999999999999999999999999999999999993_<63>

= 19 · 42689 · 686941191841_<12> · 1076867099819280665122599520532038198135002403_<46>

6·10⁶³-7 =

5999999999999999999999999999999999999999999999999999999999999993_<64>

= 13 · 151 · 5089667027_<10> · 79733482865083991_<17> · 7531835819146768420930087182568223_<34>

6·10⁶⁴-7 =

59999999999999999999999999999999999999999999999999999999999999993_<65>

= 6746715929785906064539_<22> · 8893215695521952048032623930037059283700987_<43>

6·10⁶⁵-7 =

599999999999999999999999999999999999999999999999999999999999999993_<66>

= 263 · 49893101 · 45725135851803953123684165145923396131358259735190467611_<56>

6·10⁶⁶-7 =

5999999999999999999999999999999999999999999999999999999999999999993_<67>

= 29 · 53² · 47497 · 202129 · 10708659223166552125013_<23> · 716426444185010831665780775177_<30>

6·10⁶⁷-7 =

59999999999999999999999999999999999999999999999999999999999999999993_<68>

= 12410449 · 6868215083_<10> · 340149389641199_<15> · 2069427296217476295655514098086442421_<37>

6·10⁶⁸-7 =

599999999999999999999999999999999999999999999999999999999999999999993_<69>

= 17 · 1682159 · 20981439713522219676862748828072942534669119023965804729307431_<62>

6·10⁶⁹-7 =

5999999999999999999999999999999999999999999999999999999999999999999993_<70>

= 13 · 418321 · 1103311718843810228177735426953132973151093207222352065666171341_<64>

6·10⁷⁰-7 =

59999999999999999999999999999999999999999999999999999999999999999999993_<71>

= 127 · 4353546599_<10> · 108518637423200753427729087012149404177359644345670843683041_<60>

6·10⁷¹-7 =

599999999999999999999999999999999999999999999999999999999999999999999993_<72>

= 307 · 4723 · 413804233355241968577085866447442379484689588202717176530954970513_<66>

6·10⁷²-7 =

5999999999999999999999999999999999999999999999999999999999999999999999993_<73>

= 3863 · 1177997 · 77385009980876688613_<20> · 17038270736430096249995806775275075220318351_<44>

6·10⁷³-7 =

59999999999999999999999999999999999999999999999999999999999999999999999993_<74>

= 317 · 977 · 3259 · 445567 · 15833678293_<11> · 1027286954904019972769_<22> · 8202126362716378888276701877_<28>

6·10⁷⁴-7 =

599999999999999999999999999999999999999999999999999999999999999999999999993_<75>

= 79 · 13619 · 55891523 · 9977758663436087187396682050902141237225555135061908258494991_<61>

6·10⁷⁵-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999993_<76>

= 13 · 109 · 299113 · 8047969961_<10> · 102827194159_<12> · 17106130440255041907459336964671942378864235567_<47>

6·10⁷⁶-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999993_<77>

= 179 · 167099 · 7779662134301_<13> · 34104537161662112693_<20> · 7560516616634808271172063301615895481_<37>

6·10⁷⁷-7 =

599999999999999999999999999999999999999999999999999999999999999999999999999993_<78>

= 499693 · 396414534293_<12> · 13086705576913_<14> · 22866224637016451_<17> · 10122169792405575112700655406739_<32>

6·10⁷⁸-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999999993_<79>

= 197 · 311 · 353 · 7988689 · 45293345509_<11> · 766725690311303173598777759085217324145084131274657143_<54>

6·10⁷⁹-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999999993_<80>

= 53 · 204811627337_<12> · 3924570577317372502823_<22> · 14175611298520669342327_<23> · 99354337713712656745453_<23>

6·10⁸⁰-7 =

599999999999999999999999999999999999999999999999999999999999999999999999999999993_<81>

= 19 · 69501930604321331501675717487202266937_<38> · 454360721980543218616150259333703349104731_<42> (Makoto Kamada / GGNFS-0.53.3 / Total time: 0.07 hours (actual time: 0.08 hours))

6·10⁸¹-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999999999993_<82>

= 13 · 23 · 1137655667_<10> · 93986773157_<11> · 187673299011464102388470681233312263461137981427807182016053_<60>

6·10⁸²-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999999999993_<83>

= 47 · 733 · 811 · 18133 · 707261 · 167447701809177747290119092004032248171355813501841318464502481801_<66>

6·10⁸³-7 =

599999999999999999999999999999999999999999999999999999999999999999999999999999999993_<84>

= 991 · 4423 · 397427 · 82916335393_<11> · 685794567481_<12> · 6057161426354690884931169911389799482137238622611_<49>

6·10⁸⁴-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<85>

= 17 · 397 · 2717892555035173_<16> · 327099242387929503597640877668019558820442269784453410057728838409_<66>

6·10⁸⁵-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<86>

= 302971 · 62498969161713311_<17> · 50619901800183738474287243_<26> · 62597362864944743362791052328893290671_<38>

6·10⁸⁶-7 =

599999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<87>

= 1009 · 6737 · 139313 · 53900849909_<11> · 28910737266247857069650888186027_<32> · 406581030346648230077642932666319_<33>

6·10⁸⁷-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<88>

= 13 · 79 · 164371 · 7497758617920354748847_<22> · 4740500042281690780620871768186874114056158237170936593807_<58>

6·10⁸⁸-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<89>

= 653 · 1291 · 446444391006469307_<18> · 159420606068774454623706208888808490578045136413190158606991332213_<66>

6·10⁸⁹-7 =

599999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<90>

= 131 · 339799421699161_<15> · 13478989013144144684757486136354602127885293567608789502133524085236806923_<74>

6·10⁹⁰-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<91>

= 11503 · 628519201 · 33601549875579349_<17> · 24698027571562520235735271547575309100395349666476963268125019_<62>

6·10⁹¹-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<92>

= 1372253 · 4026616229_<10> · 13434390155286137_<17> · 808274476858898984704569092359923971802604447013853685738897_<60>

6·10⁹²-7 =

599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<93>

= 53 · 751 · 39085888659081420614820026023_<29> · 385669640688227698803269382322173544328576797594929575071597_<60>

6·10⁹³-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<94>

= 13 · 1129 · 2269 · 3572127060048996983_<19> · 50437385015205303151936282489569259124396402756103198694736730624367_<68>

6·10⁹⁴-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<95>

= 29 · 1163 · 20353 · 540167 · 8178091 · 19786324063484928566272938558101267446830074482364122493086497476257832899_<74>

6·10⁹⁵-7 =

599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<96>

= 1831 · 20219 · 393961 · 68576495502083_<14> · 599894272158983596864192997890678581160727536221040324517852737687799_<69>

6·10⁹⁶-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<97>

= definitely prime number

6·10⁹⁷-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<98>

= 433 · 1667 · 60637 · 249195080297_<12> · 251380720343_<12> · 7303789595573_<13> · 2996196990512185696660813913673711696682046814751853_<52>

6·10⁹⁸-7 =

599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<99>

= 19 · 2619961 · 6787711080643_<13> · 83104907321671597_<17> · 131167970392945099177_<21> · 162901471172176909606279107940964828904581_<42>

6·10⁹⁹-7 =

5999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<100>

= 13 · 52497155915713_<14> · 83017070658428291602967_<23> · 7707701688573333854348563309_<28> · 13739781293076109085120238929482999_<35>

6·10¹⁰⁰-7 =

59999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993_<101>

= 17 · 79 · 89 · 608016077 · 58466178659350499505991669_<26> · 14121000187830375009994250404234995383958769423023504491556943_<62>

6·10¹⁰¹-7 =

5(9)₁₀₀3_<102>

= 107 · 523 · 59281470893_<11> · 39101687483500877_<17> · 4625421477732431920499444514607301794201058267502404507376631964366233_<70>

6·10¹⁰²-7 =

5(9)₁₀₁3_<103>

= 149 · 37705024561_<11> · 3455086153784503531_<19> · 309105599760194613060791354692455989080729326579362497278361740290876527_<72>

6·10¹⁰³-7 =

5(9)₁₀₂3_<104>

= 23 · 59 · 607 · 7043 · 57836890240488071_<17> · 455611765884354977_<18> · 1661830791998517788929_<22> · 236177410565507222451113420231797598743_<39>

6·10¹⁰⁴-7 =

5(9)₁₀₃3_<105>

= 81569 · 109006504868011378062133_<24> · 67479786126230237956432354635166810225860910287753152878019857479485640018709_<77>

6·10¹⁰⁵-7 =

5(9)₁₀₄3_<106>

= 13 · 53 · 313 · 17929 · 3662807761_<10> · 253220998039_<12> · 576086807303963_<15> · 2904222274759595803411467386527002809596770354939999516712253_<61>

6·10¹⁰⁶-7 =

5(9)₁₀₅3_<107>

= 1124627111_<10> · 184078410373292339529731080747_<30> · 1119316525956373525686456756941_<31> · 258932718251596645678784825625075332369_<39> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=86730895 for P31 / Sep 26, 2007) (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=958631770 for P30 / Sep 26, 2007)

6·10¹⁰⁷-7 =

5(9)₁₀₆3_<108>

= 379 · 10749510567199881531917_<23> · 147273073184834497939913721250170064335915439224845813681562310241916960025216254151_<84>

6·10¹⁰⁸-7 =

5(9)₁₀₇3_<109>

= definitely prime number

6·10¹⁰⁹-7 =

5(9)₁₀₈3_<110>

= 617 · 5827831 · 72461533456742440402283266699_<29> · 230277558689234035900346548448323906245379348528513323165051812972894341_<72>

6·10¹¹⁰-7 =

5(9)₁₀₉3_<111>

= 353 · 106759 · 153701 · 64633081 · 1074775952736096208001_<22> · 1491154196419896789782389609903281880135220085611569353402319057118539_<70>

6·10¹¹¹-7 =

5(9)₁₁₀3_<112>

= 13 · 2423 · 360964079692659801539218828060656161476910423250161_<51> · 527704135252280213728502010679882140961843051369612566587_<57> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.71 hours on Core 2 Quad Q6600 / Oct 3, 2007)

6·10¹¹²-7 =

5(9)₁₁₁3_<113>

= 127 · 487 · 207401 · 464857 · 10667725681_<11> · 18344060431_<11> · 66443858721896295507904689871_<29> · 773866753583804618938410752591273893044927528721_<48>

6·10¹¹³-7 =

5(9)₁₁₂3_<114>

= 79 · 105614943166633_<15> · 71911573127279142012631496709310754420849481453580381295468873279305605513966680182063811197451999_<98>

6·10¹¹⁴-7 =

5(9)₁₁₃3_<115>

= 61 · 491 · 64059407 · 3127209733538776477486495910036933724556736784923494006511191969940454292704562853356016082152802016649_<103>

6·10¹¹⁵-7 =

5(9)₁₁₄3_<116>

= 25496579 · 2819633340617_<13> · 519432918805997720613883831_<27> · 1606746012772716014597182054356403125182075074501778807395696024305821_<70>

6·10¹¹⁶-7 =

5(9)₁₁₅3_<117>

= 17 · 19² · 30697 · 32867539 · 96901836056854760343912098197508520000372817661943912105170045636417720857913456505199937289230123683_<101>

6·10¹¹⁷-7 =

5(9)₁₁₆3_<118>

= 13 · 3803203 · 121355200218989503968507192894636846484802010710041388393293353401977632658982037387555052533756010798913846687_<111>

6·10¹¹⁸-7 =

5(9)₁₁₇3_<119>

= 53 · 1559 · 11981 · 8485946222117664387824703457_<28> · 7142264381977907092610341781026191409378859879465277041650654040138463117260366527_<82>

6·10¹¹⁹-7 =

5(9)₁₁₈3_<120>

= 283 · 2120141342756183745583038869257950530035335689045936395759717314487632508833922261484098939929328621908127208480565371_<118>

6·10¹²⁰-7 =

5(9)₁₁₉3_<121>

= 289207631 · 49024345096702353041_<20> · 241665252940084537523929_<24> · 1751118314981544157663810148257122216524428361952777415447268088311327_<70>

6·10¹²¹-7 =

5(9)₁₂₀3_<122>

= 499 · 457433 · 752268062006394721_<18> · 349422276339628684393974732831398295995344761493709560454552536915434102111713414330762590187899_<96>

6·10¹²²-7 =

5(9)₁₂₁3_<123>

= 29 · 68004493287578401111324018574258290351_<38> · 304239531422152873078652750157120871113171209374964566110469309352350285844274312067_<84> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 1.52 hours on Core 2 Quad Q6600 / Oct 3, 2007)

6·10¹²³-7 =

5(9)₁₂₂3_<124>

= 13² · 1660493 · 419726743015322283340796841866026105998611897_<45> · 50940224585810878707118381444742680923300871417714179798205170107648957_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 3.06 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 4, 2007)

6·10¹²⁴-7 =

5(9)₁₂₃3_<125>

= 1451 · 8977597 · 4605997858542474090302654727964332548507864742917177209511203763801406129881057466455384867248609260343018853598919_<115>

6·10¹²⁵-7 =

5(9)₁₂₄3_<126>

= 23 · 3623 · 10966621 · 50636596327829583320839536142290785563_<38> · 12966349985343467300064590701602747532440337222241547532187032604088384653879_<77> (Robert Backstrom / GMP-ECM 6.0.1 B1=1280000, sigma=459190221 for P38 / Oct 3, 2007)

6·10¹²⁶-7 =

5(9)₁₂₅3_<127>

= 79 · 74441 · 388673 · 411071938344907579_<18> · 139356463122719506567_<21> · 45822907472291109719909385368586583997713707828487206775657055632255640508683_<77>

6·10¹²⁷-7 =

5(9)₁₂₆3_<128>

= 343127 · 582525896334758811474813322548179_<33> · 538379064288744086953750328027856177081161_<42> · 557561730154771569560097260837268094018249256461_<48> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1815745257 for P33 / Sep 27, 2007) (Sinkiti Sibata / Msieve v. 1.26 for P42 x P48 / 9.79 hours on Pentium3 750MHz, Windows Me / Oct 4, 2007)

6·10¹²⁸-7 =

5(9)₁₂₇3_<129>

= 47 · 157 · 8893 · 45062760365254252417196977668457049_<35> · 107331866482129355939909099089742932497167_<42> · 1890422922086710862023492300837255153472513593_<46> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 5.27 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 4, 2007)

6·10¹²⁹-7 =

5(9)₁₂₈3_<130>

= 13 · 787 · 230759966824487_<15> · 1091704250793523974001601_<25> · 2327918097250184290514671633978308070351165605191467423373801850031901189016537328495769_<88>

6·10¹³⁰-7 =

5(9)₁₂₉3_<131>

= 3581 · 11927683 · 77492399487775327777_<20> · 41741913374238084153759348799228096820219_<41> · 434269551129510598310111242531747787622152307167204480286557_<60> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.61 hours on Core 2 Quad Q6600 / Oct 3, 2007)

6·10¹³¹-7 =

5(9)₁₃₀3_<132>

= 53 · 169607 · 12872498163753083570298872692434111691304047437203023579603_<59> · 5185238891853061753866196726218370889062130742679403097113868915761_<67> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.84 hours on Core 2 Quad Q6600 / Oct 4, 2007)

6·10¹³²-7 =

5(9)₁₃₁3_<133>

= 17 · 31397 · 60607 · 17658261422573_<14> · 157220545256202605499721340161299887750890477_<45> · 66808873437291415726408144788722762650560407722248850407211168531_<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 8.23 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 4, 2007)

6·10¹³³-7 =

5(9)₁₃₂3_<134>

= 419 · 803784771613572434432727851402219930947_<39> · 8211994164161688590117664996602372379877_<40> · 21694458850171435203820744840123411555745339465862013_<53> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 4.50 hours on Cygwin on AMD 64 3400+ / Oct 4, 2007)

6·10¹³⁴-7 =

5(9)₁₃₃3_<135>

= 19 · 29567 · 45971 · 78819112594656149_<17> · 34093879209387559643_<20> · 9540549791643398673017_<22> · 906202123635015452740024191712681618079001335487006593463795536209_<66>

6·10¹³⁵-7 =

5(9)₁₃₄3_<136>

= 13 · 414413481743_<12> · 36564792200396563_<17> · 1126059761985818701739729351936313997694323_<43> · 27048891575232108774848633209666793723302095208678124558846257723_<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 7.79 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 4, 2007)

6·10¹³⁶-7 =

5(9)₁₃₅3_<137>

= 72883 · 375559 · 4647871 · 471620603651378896369815298342803355838453516753326231175606603813513005275479964381951231884801830548744749448237156539_<120>

6·10¹³⁷-7 =

5(9)₁₃₆3_<138>

= 11930304707794017951010060929038611787637529_<44> · 50292093512751817677191069598755399434481984540235534607565516222232375080068547729293970178017_<95> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 4.81 hours on Core 2 Quad Q6600 / Oct 3, 2007)

6·10¹³⁸-7 =

5(9)₁₃₇3_<139>

= 151 · 734810098575024052571_<21> · 54075331047850853524344611604354849548078566410628943552535026044008616193228839408063723014262536908251680388404733_<116>

6·10¹³⁹-7 =

5(9)₁₃₈3_<140>

= 79 · 21237841 · 32717317 · 1093040142883501386489376179771257545308342322226134020494881510932970685488517038050121776320118984420578091500117378336411_<124>

6·10¹⁴⁰-7 =

5(9)₁₃₉3_<141>

= 118447393 · 488302592269751645844131141513207371459_<39> · 10373772369705551105830529941865993946904275182321723727108870993322153016866124697921503890739_<95> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 7.15 hours on Cygwin on AMD 64 3200+ / Oct 4, 2007)

6·10¹⁴¹-7 =

5(9)₁₄₀3_<142>

= 13 · 1447583 · 84331879 · 6476031936152650611823116269070611627_<37> · 583799427952449996104077409330623614593075799711097271574870756751412606331718775669681999_<90> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=3000000, sigma=3326569211 for P37 / Oct 4, 2007)

6·10¹⁴²-7 =

5(9)₁₄₁3_<143>

= 353 · 85223 · 1064743 · 17170804432778660568577_<23> · 42191759522915775604583057626823_<32> · 2585572109501371476246882696300039865583164290410873961325438433783561473999_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 17.01 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 5, 2007)

6·10¹⁴³-7 =

5(9)₁₄₂3_<144>

= 509 · 733 · 29587 · 40699 · 52813 · 25287388758311535507074304028925147055557213524322989587565329782256251042504668520842268959533529979284814417223093452680501_<125>

6·10¹⁴⁴-7 =

5(9)₁₄₃3_<145>

= 53 · 89 · 578031563 · 78317566279_<11> · 1254324247513_<13> · 8687286395376410807206553_<25> · 2578580419213485258784033863827766442844633512809337456466716558518826587681085556993_<85>

6·10¹⁴⁵-7 =

5(9)₁₄₄3_<146>

= 1766550377_<10> · 157012037513_<12> · 4348276733443_<13> · 208622310195879907337278472254444759_<36> · 238459345830976112102219160803088310324167412809493635059788300420093626611189_<78> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 10.31 hours on Core 2 Quad Q6600 / Oct 4, 2007)

6·10¹⁴⁶-7 =

5(9)₁₄₅3_<147>

= 5039 · 594569 · 799647361 · 839700913626501649_<18> · 354555023913840387697765253_<27> · 841197265982834435250443360760069689712522343823862409496564765687187171170691637219_<84>

6·10¹⁴⁷-7 =

5(9)₁₄₆3_<148>

= 13 · 23 · 1447 · 8923 · 715492813777151850227_<21> · 1051633235233452391090903_<25> · 2065527868436617072036666575240277340895812226031409111034815812132269936436696913254639800587_<94>

6·10¹⁴⁸-7 =

5(9)₁₄₇3_<149>

= 17 · 5261 · 7069 · 20877877 · 4124979457_<10> · 2202754157836179317307651152968047629805882079_<46> · 500267040879752050179524392513061490125276212618093746534715313369595549802451_<78> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 38.13 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 6, 2007)

6·10¹⁴⁹-7 =

5(9)₁₄₈3_<150>

= 192519472477_<12> · 40653929264339_<14> · 76660925883410876598879512060259213999749427830914170198257939150576777044570409910670659719757237020280921658248324299630431_<125>

6·10¹⁵⁰-7 =

5(9)₁₄₉3_<151>

= 29 · 2311 · 1488427 · 2621987 · 20671223477_<11> · 681329504326085520982013141_<27> · 1628815356375786068731892561567331281180770885529773816382126960199203367547234463573865230977379_<97>

6·10¹⁵¹-7 =

5(9)₁₅₀3_<152>

= 38049083 · 163890451242523530323685961374784914589069397_<45> · 9621735296463067319406359609200658570446718765888423723850749029550679811036943776234172558145948143_<100> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.26 / Oct 5, 2007)

6·10¹⁵²-7 =

5(9)₁₅₁3_<153>

= 19 · 79 · 317 · 683 · 194723 · 2422519199645591483038400362598333261141854085321449290981587_<61> · 3913867442685506786621678329983313608259562954908441460080566565534765765237163_<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 30.48 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 5, 2007)

6·10¹⁵³-7 =

5(9)₁₅₂3_<154>

= 13 · 139747 · 41191413729044567_<17> · 28576336929599376517741_<23> · 1025244729230700913218569_<25> · 356746994819799697074718391780142365509993_<42> · 7671217220429161293573234558957602035904237_<43> (Sinkiti Sibata / Msieve v. 1.26 for P42 x P43 / 4.64 hours on 04:38:29 / Oct 3, 2007)

6·10¹⁵⁴-7 =

5(9)₁₅₃3_<155>

= 107 · 127 · 18393799 · 1955163178879_<13> · 7703802161617_<13> · 2520882476066236099_<19> · 172724374438795287487_<21> · 25123119165077134405874587653763_<32> · 1456882069665536858778538228284737883240041799739_<49> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=409472312 for P32 / Sep 28, 2007)

6·10¹⁵⁵-7 =

5(9)₁₅₄3_<156>

= 9151759 · 44509450084691841113_<20> · 1276610766484719268151_<22> · 1340426558177838497399939_<25> · 217264834889735630458321389261532721_<36> · 3961899731258636703690742682913482426977474823891_<49> (Robert Backstrom / Msieve v. 1.26 for P36 x P49 / Oct 4, 2007)

6·10¹⁵⁶-7 =

5(9)₁₅₅3_<157>

= 4067263 · 3771671892797_<13> · 391124561357841028211985296052172825523341495770768087714782840008457374109592390497796175365521430732791917076426995248440451327213764563_<138>

6·10¹⁵⁷-7 =

5(9)₁₅₆3_<158>

= 53 · 97 · 739 · 1091 · 519487 · 709369890512947561_<18> · 1398747574182377711176049107_<28> · 22320341571287862440791180961911537_<35> · 1258191770139023959637271001787399781177095229292345787867966729_<64> (Robert Backstrom / Msieve v. 1.26 for P35 x P64 / Oct 3, 2007)

6·10¹⁵⁸-7 =

5(9)₁₅₇3_<159>

= 229 · 3146866820428986633571_<22> · 832601913508168862619840687842101063641252846454205813717638749305907823406643122868304575939842084616892068736561887962171890037889527_<135>

6·10¹⁵⁹-7 =

5(9)₁₅₈3_<160>

= 13 · 46099251251888935727327_<23> · 17014311483120697384989356382969398497597_<41> · 24879066220185916328457524320554279793687_<41> · 23651874787979709585009977994193399030605069949949286937_<56> (Jo Yeong Uk / GMP-ECM B1=1000000, sigma=2232240277 for P41(2487...) / Oct 4, 2007) (Jo Yeong Uk / Msieve v. 1.28 for P41(1701...) x P56 / 4.47 hours on Core 2 Quad Q6600 / Oct 5, 2007)

6·10¹⁶⁰-7 =

5(9)₁₅₉3_<161>

= 110893837864780114169227_<24> · 53482456690377432712639319435401_<32> · 125543951754463483312651367167081146619879782542807_<51> · 80581749745901679359607613279455998414547734638470247237_<56> (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=1211627566 for P32 / Sep 20, 2007) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 gnfs for P51 x P56 / 16.09 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 6, 2007)

6·10¹⁶¹-7 =

5(9)₁₆₀3_<162>

= 59 · 4889 · 22063 · 61949 · 56338169 · 5137570679_<10> · 25632208522320555148392302355173_<32> · 205132168410612051871480238620927190554253620898540807301677670565578241342961193951890988344739443_<99> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 67.83 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 7, 2007)

6·10¹⁶²-7 =

5(9)₁₆₁3_<163>

= 5175578203_<10> · 8983299164419145064801872197_<28> · 129049555294105785119125517220627617353716848908600790989497238111164744527117131643670366872123218165471599815618433029956223_<126>

6·10¹⁶³-7 =

5(9)₁₆₂3_<164>

= 30339296027748931253_<20> · 15909833358959093262353180001154624082529476187767_<50> · 124302573471643865966793637908816400185876720580733444177989495780776161055978026073936417281843_<96> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 95.21 hours on Core 2 Duo E6300 1.86GHz, Windowa Vista / Oct 9, 2007)

6·10¹⁶⁴-7 =

5(9)₁₆₃3_<165>

= 17 · 302404974167609_<15> · 604857162810389628774661784293336029351376392407791_<51> · 192957014318376632131120220747611805227589329088927241976832631934622388748514730334494973730320991_<99> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.28 / Oct 8, 2007)

6·10¹⁶⁵-7 =

5(9)₁₆₄3_<166>

= 13 · 79 · 113 · 7235159683_<10> · 782556346460516558455522307_<27> · 89114521059015530309415870009443429755507579670159234491_<56> · 102468445422444548672703238249307270954451352766414703365751873047633_<69> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.34 / May 4, 2008)

6·10¹⁶⁶-7 =

5(9)₁₆₅3_<167>

= definitely prime number

6·10¹⁶⁷-7 =

5(9)₁₆₆3_<168>

= 86004929922823687_<17> · 117124643630091042473553137641_<30> · 1422924018199617086667469983408773956446337923324187259_<55> · 41859873490837916408900575837828799444368507615420908476733092182981_<68> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1060709564 for P30 / Sep 29, 2007) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 154.80 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 13, 2007)

6·10¹⁶⁸-7 =

5(9)₁₆₇3_<169>

= 23321029517_<11> · 1946093975321_<13> · 949728193553251598869208949731525903_<36> · 139200371060752713488619708492242929677851594313512689917170481207624637214984355584834412229638130149588591883_<111> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=507378531 for P36 / Sep 29, 2007)

6·10¹⁶⁹-7 =

5(9)₁₆₈3_<170>

= 23 · 233 · 953 · 6917 · 31153 · 128429681465951_<15> · 9251319662603903631647249201_<28> · 45886808094922831130066415324310174992733935939017221438770830231630561151558742747972248194486088111977804664509_<113>

6·10¹⁷⁰-7 =

5(9)₁₆₉3_<171>

= 19 · 53 · 919 · 22820467 · 22795072861193_<14> · 3926779758432979034119147_<25> · 317398019474385596418507534899916490737317279223727984256485884035662720568594476699866336705664397533018285127480666153_<120>

6·10¹⁷¹-7 =

5(9)₁₇₀3_<172>

= 13 · 347 · 280561 · 3619261 · 104668478321136247869629778050319602787493232821426679133681787_<63> · 12514552052547785247649358827497335463132200483914345373302430877998388248495950980295389454969_<95> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.38 snfs / 7.18 hours, 2.96 hours / Oct 18, 2008)

6·10¹⁷²-7 =

5(9)₁₇₁3_<173>

= 13690517 · 4382595631706238705229320412077936866810800497892081066040091838752327614800814315485675230526356309261366827856099225471178334609277355997585774153014089971912675029_<166>

6·10¹⁷³-7 =

5(9)₁₇₂3_<174>

= 13413022373_<11> · 254106107960663411887642298189807618950496854389331792179242251_<63> · 176039244907150995933870857374771574815002400239328663586454894500763717483116064141859499252833070191_<102> (matsui / GGNFS-0.77.1-20060722-nocona / Apr 29, 2009)

6·10¹⁷⁴-7 =

5(9)₁₇₃3_<175>

= 47 · 61 · 181 · 353 · 1087 · 208065115903_<12> · [144824307451005537754314935305183388450196397418380764967934103055855613216826148939388929156884000728842863708858967975027105676416742653415197899542423_<153>] SUBMIT/RESERVE

6·10¹⁷⁵-7 =

5(9)₁₇₄3_<176>

= 3457 · 240996865670919031_<18> · 109751512809701851935244709_<27> · 656190534268642783995141509463735363036328390877322117079760075938076227795602720881144770826922165183134370139739378121621610531_<129>

6·10¹⁷⁶-7 =

5(9)₁₇₅3_<177>

= 197 · 790812963581_<12> · 12815977898860751_<17> · 629823745637566725798931571_<27> · 918226296942461704458972289181_<30> · 519625837824018561400408914463969961854205081288415860377809697716089682349383075235628449_<90> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3558571253 for P30 / Sep 30, 2007)

6·10¹⁷⁷-7 =

5(9)₁₇₆3_<178>

= 13 · 1879847 · 12888596406220343627017425991_<29> · [19049332837491856459883214063436468854420636919230315373825493612016335134325754238607156281569170445295875058645340269359133743005089740737293_<143>] SUBMIT/RESERVE

6·10¹⁷⁸-7 =

5(9)₁₇₇3_<179>

= 29 · 79 · 245126150692993267_<18> · [106840648592841755572803711737105552838179633474848387733535180910527524906131990198694367646294168430133824683915854350637494536403928329774007858079486914769_<159>] SUBMIT/RESERVE

6·10¹⁷⁹-7 =

5(9)₁₇₈3_<180>

= 421 · 1987 · 36579579556932487_<17> · 61950404263093349_<17> · 32214719309713242013252446127_<29> · 9825034445152901935961343941427051693447911717439515033411367593262448843290849917926006685974339035210804587059_<112>

6·10¹⁸⁰-7 =

5(9)₁₇₉3_<181>

= 17 · 5791 · 4830487850130825355136992625082278853531328717363811995759451_<61> · 12617048427077972576764760920138324767170820384685368004188695290274577720048489648872812603297601032348850349016469_<116> (Hugo Platzer / Msieve-1.36 optimized 64-bit linux lattice siever from Greg Childers for P61 x P116 / 0.01 hours, 1.21 hours, 0.41 hours on ubuntu-8.0.4 64-bit(hardy) Intel Core 2 Quad Q6600 @2.4Ghz / Aug 26, 2008)

6·10¹⁸¹-7 =

5(9)₁₈₀3_<182>

= 15193 · 11600213 · [340440914804751462847842330586700586947654395133665335836397613982583928364844535773701261602916131116881455615162782946670320234004418188255147128918715867239867624264477_<171>] SUBMIT/RESERVE

6·10¹⁸²-7 =

5(9)₁₈₁3_<183>

= 15857351 · 240859602451503853093_<21> · [157092932127311105076665232199918705526549017639297157081198334873673530961798873925465569119296702732899550039020599757450802035703764135054078632315618451_<156>] SUBMIT/RESERVE

6·10¹⁸³-7 =

5(9)₁₈₂3_<184>

= 13 · 53 · 109 · 397 · 56713 · 116089 · 86358396697_<11> · 167062327021_<12> · 364234075092111249972929_<24> · 5816713354557213625453542174512517276122938904574512368047812505002891284399601944804366375585300564197585531063177512429_<121>

6·10¹⁸⁴-7 =

5(9)₁₈₃3_<185>

= 3917 · 510007 · 13732841 · 129569543 · 221000107 · 436097591 · 175138671672033494856167263877176421238275666199833551112474737373388758190280314444550065746329079020754848246932160145666307158157535718770937_<144>

6·10¹⁸⁵-7 =

5(9)₁₈₄3_<186>

= 1259 · 105094819 · 18234595094684519_<17> · 496645177774564607081_<21> · 91097916289552225379407273_<26> · 1567828725851495950483147060696472797473131_<43> · 3505861909643653215337674382799814173297028903124851463841838321295469_<70> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P43 x P70 / 17.45 hours on Core 2 Quad Q6600 / Oct 5, 2007)

6·10¹⁸⁶-7 =

5(9)₁₈₅3_<187>

= 228587 · 16688590792387_<14> · 818096521418063_<15> · [1922540558635757708371661590092682882375780001116737165100483780589808694897884436934101020647230281214348920254766171269429442186753205233947807636088119_<154>] SUBMIT/RESERVE

6·10¹⁸⁷-7 =

5(9)₁₈₆3_<188>

= 3413 · 2142945331_<10> · 1070743067526137353_<19> · [7661584556701061180944284104449147104642920353508437153581052318432277126809998110301007251533255177475684518918714456697316805886463749676319312692377319327_<157>] SUBMIT/RESERVE

6·10¹⁸⁸-7 =

5(9)₁₈₇3_<189>

= 19 · 89 · 2897 · 6343 · 3478641632839_<13> · 17774070976058545812562727183_<29> · [312297016861894787823059640939950404416965319490273709945359722179867780054071457407967075343648662418642786754047283079345566061442555349_<138>] SUBMIT/RESERVE

6·10¹⁸⁹-7 =

5(9)₁₈₈3_<190>

= 13 · 3428293517807_<13> · 58104992324235497_<17> · 2316948882965912445982408095286355295372861475017817680878788370237541967640759683677477341155594712026149003207352234868421960590023192852019457668882786947259_<160>

6·10¹⁹⁰-7 =

5(9)₁₈₉3_<191>

= 631 · 1997 · 338369 · 580529 · 67169196321839_<14> · 55383570834314372861_<20> · 203384538156280093871_<21> · 395663753293191304390177_<24> · 809718447072690922173550260073122489971426984525475152823927288616958390733368072118035468152343_<96>

6·10¹⁹¹-7 =

5(9)₁₉₀3_<192>

= 23 · 79 · 55691 · 16868993 · 69029399079521_<14> · [5091996026295996972355044115180103324059082151797359863108314186510785879831228258665298062386003244406935140078577304241176845795411458295531778807268159964165923_<163>] SUBMIT/RESERVE

6·10¹⁹²-7 =

5(9)₁₉₁3_<193>

= 389467697 · 34217793173_<11> · [450223138347727453445888029507317200017408842605839505907602077700532006204676554631157532674327613169565073338157187315240032054971886951606085926439865145020110010721697253_<174>] SUBMIT/RESERVE

6·10¹⁹³-7 =

5(9)₁₉₂3_<194>

= 839777971 · 1799006831_<10> · 39714944493875702499084737589598462134236723698227268245732384619493309363206167886956323135974260364137045461721471694308353077002618021345646983193101321456435684197407169293_<176>

6·10¹⁹⁴-7 =

5(9)₁₉₃3_<195>

= 39178985617_<11> · 4802722265791_<13> · 33229090813218236420754331_<26> · 95960418093149798803738851779500576003383774326454468744975283854576978015524483968631589720492689785093964655507341059710475881897504365459484149_<146>

6·10¹⁹⁵-7 =

5(9)₁₉₄3_<196>

= 13 · 1377071 · 64013653213_<11> · 19036488880378127_<17> · 954703029198365683_<18> · [288087093994780899488907687303299659184005519625833852010585314422448025212798848947102390487294265886743778132679410286977809299178855264167227_<144>] SUBMIT/RESERVE

6·10¹⁹⁶-7 =

5(9)₁₉₅3_<197>

= 17 · 53 · 127 · 7699 · 68106477480735677043478924364842935514813168500477652861177580542200956827221062080719427064973612434752618255056131525540270155217261575820456060428961406423641543631359715186339101041241_<188>

6·10¹⁹⁷-7 =

5(9)₁₉₆3_<198>

= 617 · 853 · 227103908519_<12> · 690809699389309765793069_<24> · 7266646270112464720379091068090141639978546837804692873269703375702331675850492604266385119234685079291977236562040031042775533872144523120984370132737091063_<157>

6·10¹⁹⁸-7 =

5(9)₁₉₇3_<199>

= 167 · 265447401151_<12> · 1599529266754550409912307759727_<31> · [84618263884039984680979205479242373328854046385994102543980925758836773562467373965067601568858438800912633777084401273137347795319481939335873583645268527_<155>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1986207576 for P31 / Oct 21, 2008) SUBMIT/RESERVE

6·10¹⁹⁹-7 =

5(9)₁₉₈3_<200>

= 223 · 6846603257419_<13> · 704494201038456318318171509_<27> · [55781964164349028590157729436650577589204151561565973350167781774731216241446210447356113943731323558126289951339531039899170613012763212243007429039239372321_<158>] SUBMIT/RESERVE

6·10²⁰⁰-7 =

5(9)₁₉₉3_<201>

= 1206683 · 1041234439966907_<16> · 167324979574126408639391483449_<30> · [2853965710766612718556617790574434704243009056242575623353149656783643731661545494268713236664822833503804455177796090082835687454287932237544332337097_<151>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2585676987 for P30 / Oct 3, 2007) SUBMIT/RESERVE

4. References

• A103025 (On-Line Encyclopedia of Integer Sequences)