Since June 16, 2000

STUDIO KAMADA

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Sequence

General term

Room for prime numbers

Prime numbers

1. (8·10³-71)/9 = 881 is prime. (Makoto Kamada / Jun 4, 2003)
2. (8·10¹⁹-71)/9 = (8)₁₈1_<19> is prime. (Makoto Kamada / PPSIQS / Jun 4, 2003)
3. (8·10⁷⁹-71)/9 = (8)₇₈1_<79> is prime. (Makoto Kamada / PPSIQS / Jun 4, 2003)
4. (8·10¹³⁹-71)/9 = (8)₁₃₈1_<139> is prime. (Makoto Kamada / pock 0.1.1a / Jun 4, 2003)
5. (8·10²²³-71)/9 = (8)₂₂₂1_<223> is prime. (Makoto Kamada / pock 0.1.1a / Jun 4, 2003)
6. (8·10⁴⁶³-71)/9 = (8)₄₆₂1_<463> is prime. (Makoto Kamada / pock 0.1.1a / Jun 4, 2003)
7. (8·10⁵⁴⁴-71)/9 = (8)₅₄₃1_<544> is prime. (Makoto Kamada / pock 0.1.1a / Jun 4, 2003)
8. (8·10¹⁰⁹⁶-71)/9 = (8)₁₀₉₅1_<1096> is prime. (searched by Makoto Kamada / Jun 4, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 13, 2006)
9. (8·10¹⁴¹⁹-71)/9 = (8)₁₄₁₈1_<1419> is prime. (searched by Makoto Kamada / Jun 4, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 8, 2006)
10. (8·10³²⁴⁷-71)/9 = (8)₃₂₄₆1_<3247> is PRP. (Makoto Kamada / Jan 16, 2004)
11. (8·10³⁸⁷⁷-71)/9 = (8)₃₈₇₆1_<3877> is PRP. (Makoto Kamada / Jan 16, 2004)
12. (8·10⁴⁴¹⁷-71)/9 = (8)₄₄₁₆1_<4417> is prime. (searched by Makoto Kamada / Jan 16, 2004) (certified by Makoto Kamada / pock 0.2.1 / Jan 16, 2004)
13. (8·10⁹⁵⁰⁷-71)/9 = (8)₉₅₀₆1_<9507> is PRP. (Makoto Kamada / Jan 18, 2004)
14. (8·10¹¹⁰⁹¹-71)/9 = (8)₁₁₀₉₀1_<11091> is PRP. (Makoto Kamada / Jan 19, 2004)
15. (8·10¹⁴⁶⁰²-71)/9 = (8)₁₄₆₀₁1_<14602> is PRP. (Makoto Kamada / Jan 20, 2004)

• 1-15000

• A056664 (On-Line Encyclopedia of Integer Sequences)
• A092675 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

(8·10¹-71)/9 =

1

(8·10²-71)/9 =

81

= 3⁴

(8·10³-71)/9 =

881

= definitely prime number

(8·10⁴-71)/9 =

8881

= 83 · 107

(8·10⁵-71)/9 =

88881

= 3 · 13 · 43 · 53

(8·10⁶-71)/9 =

888881

= 7 · 23 · 5521

(8·10⁷-71)/9 =

8888881

= 59 · 150659

(8·10⁸-71)/9 =

88888881

= 3 · 29629627

(8·10⁹-71)/9 =

888888881

= 10903 · 81527

(8·10¹⁰-71)/9 =

8888888881_<10>

= 31 · 286738351

(8·10¹¹-71)/9 =

88888888881_<11>

= 3² · 13 · 759734093

(8·10¹²-71)/9 =

888888888881_<12>

= 7² · 18917 · 958957

(8·10¹³-71)/9 =

8888888888881_<13>

= 17 · 2357 · 221839549

(8·10¹⁴-71)/9 =

88888888888881_<14>

= 3 · 19 · 1559454191033_<13>

(8·10¹⁵-71)/9 =

888888888888881_<15>

= 463 · 1919846412287_<13>

(8·10¹⁶-71)/9 =

8888888888888881_<16>

= 429427 · 20699417803_<11>

(8·10¹⁷-71)/9 =

88888888888888881_<17>

= 3 · 13 · 2279202279202279_<16>

(8·10¹⁸-71)/9 =

888888888888888881_<18>

= 7 · 47 · 53 · 181 · 461 · 541 · 971 · 1163

(8·10¹⁹-71)/9 =

8888888888888888881_<19>

= definitely prime number

(8·10²⁰-71)/9 =

88888888888888888881_<20>

= 3² · 1879 · 5256276322446271_<16>

(8·10²¹-71)/9 =

888888888888888888881_<21>

= 6718447 · 132305708281823_<15>

(8·10²²-71)/9 =

8888888888888888888881_<22>

= 13622269 · 652526307393349_<15>

(8·10²³-71)/9 =

88888888888888888888881_<23>

= 3 · 13 · 15737 · 16267 · 8903350261501_<13>

(8·10²⁴-71)/9 =

888888888888888888888881_<24>

= 7 · 126984126984126984126983_<24>

(8·10²⁵-71)/9 =

8888888888888888888888881_<25>

= 29 · 31 · 631471 · 15657931011246389_<17>

(8·10²⁶-71)/9 =

88888888888888888888888881_<26>

= 3 · 43 · 131 · 1321 · 20231 · 196818675056869_<15>

(8·10²⁷-71)/9 =

888888888888888888888888881_<27>

= 1223 · 726810211683474152811847_<24>

(8·10²⁸-71)/9 =

8888888888888888888888888881_<28>

= 23 · 386473429951690821256038647_<27>

(8·10²⁹-71)/9 =

88888888888888888888888888881_<29>

= 3³ · 13² · 17 · 165768833 · 6912660170884667_<16>

(8·10³⁰-71)/9 =

888888888888888888888888888881_<30>

= 7 · 8229812369_<10> · 15429771821098851607_<20>

(8·10³¹-71)/9 =

8888888888888888888888888888881_<31>

= 53 · 13182817 · 84448409 · 150650963181109_<15>

(8·10³²-71)/9 =

88888888888888888888888888888881_<32>

= 3 · 19 · 2145631 · 726804464995676517331943_<24>

(8·10³³-71)/9 =

888888888888888888888888888888881_<33>

= 521 · 45161 · 623969962267_<12> · 60545590739603_<14>

(8·10³⁴-71)/9 =

8888888888888888888888888888888881_<34>

= 6166431269371_<13> · 1441496467014962799811_<22>

(8·10³⁵-71)/9 =

88888888888888888888888888888888881_<35>

= 3 · 13 · 1951 · 14975061296141_<14> · 78011206099967069_<17>

(8·10³⁶-71)/9 =

888888888888888888888888888888888881_<36>

= 7 · 2713 · 8681 · 66141471217_<11> · 81518473141676983_<17>

(8·10³⁷-71)/9 =

8888888888888888888888888888888888881_<37>

= 89 · 79537 · 16616381 · 38436468533_<11> · 1966112409929_<13>

(8·10³⁸-71)/9 =

88888888888888888888888888888888888881_<38>

= 3² · 1084849939_<10> · 7724864303411_<13> · 1178540305996321_<16>

(8·10³⁹-71)/9 =

888888888888888888888888888888888888881_<39>

= 173 · 36931 · 1359571 · 4535467 · 1585500439_<10> · 14230495969_<11>

(8·10⁴⁰-71)/9 =

8888888888888888888888888888888888888881_<40>

= 31 · 61 · 4700628709089840766202479581644044891_<37>

(8·10⁴¹-71)/9 =

88888888888888888888888888888888888888881_<41>

= 3 · 13 · 2617 · 983916907 · 885157848718339259402330141_<27>

(8·10⁴²-71)/9 =

888888888888888888888888888888888888888881_<42>

= 7 · 991 · 128137363253407653004020309772075665113_<39>

(8·10⁴³-71)/9 =

8888888888888888888888888888888888888888881_<43>

= 65831947 · 135023940411315632042432056413110323_<36>

(8·10⁴⁴-71)/9 =

88888888888888888888888888888888888888888881_<44>

= 3 · 53 · 11252947 · 18554857 · 2677481434779879666846992621_<28>

(8·10⁴⁵-71)/9 =

888888888888888888888888888888888888888888881_<45>

= 17 · 83 · 911 · 691515767121346927496041288331907514261_<39>

(8·10⁴⁶-71)/9 =

8888888888888888888888888888888888888888888881_<46>

= 15797 · 167119 · 33403744579_<11> · 100797991149542222875941473_<27>

(8·10⁴⁷-71)/9 =

88888888888888888888888888888888888888888888881_<47>

= 3² · 13 · 43 · 653 · 2427547 · 294535225411303_<15> · 37842087841934265887_<20>

(8·10⁴⁸-71)/9 =

888888888888888888888888888888888888888888888881_<48>

= 7 · 569 · 3497447721616025750009_<22> · 63809587862624493535223_<23>

(8·10⁴⁹-71)/9 =

8888888888888888888888888888888888888888888888881_<49>

= 26947 · 25514057 · 2162391367505209_<16> · 5978926778342831344571_<22>

(8·10⁵⁰-71)/9 =

88888888888888888888888888888888888888888888888881_<50>

= 3 · 19 · 23 · 9931001 · 45044801020766467_<17> · 151567849043325876078413_<24>

(8·10⁵¹-71)/9 =

888888888888888888888888888888888888888888888888881_<51>

= 5441 · 187633 · 870681925921607488687009073049953142091777_<42>

(8·10⁵²-71)/9 =

8888888888888888888888888888888888888888888888888881_<52>

= 1217 · 22109 · 6404837 · 481089942596317973_<18> · 107214479151393796477_<21>

(8·10⁵³-71)/9 =

88888888888888888888888888888888888888888888888888881_<53>

= 3 · 13 · 29 · 136270340632817_<15> · 576744592231032232729469374562790403_<36>

(8·10⁵⁴-71)/9 =

888888888888888888888888888888888888888888888888888881_<54>

= 7² · 26814543473_<11> · 676520545182022302648594633967471367313553_<42>

(8·10⁵⁵-71)/9 =

8888888888888888888888888888888888888888888888888888881_<55>

= 31 · 97 · 3623519 · 189425066248877_<15> · 4306714264082491493824469353141_<31>

(8·10⁵⁶-71)/9 =

88888888888888888888888888888888888888888888888888888881_<56>

= 3³ · 379 · 7949 · 130873 · 8835271 · 945065857484042272376244847931973971_<36>

(8·10⁵⁷-71)/9 =

888888888888888888888888888888888888888888888888888888881_<57>

= 53 · 107 · 193 · 78666395233_<11> · 10323840150524699838333063277731031270919_<41>

(8·10⁵⁸-71)/9 =

8888888888888888888888888888888888888888888888888888888881_<58>

= 498523 · 851653331 · 7135029683_<10> · 40640303983_<11> · 72201579164634034912933_<23>

(8·10⁵⁹-71)/9 =

88888888888888888888888888888888888888888888888888888888881_<59>

= 3 · 13 · 49687171 · 28122695780551_<14> · 1631103994522602001795775298185143499_<37>

(8·10⁶⁰-71)/9 =

888888888888888888888888888888888888888888888888888888888881_<60>

= 7 · 22382539 · 229305638501046584779_<21> · 24741461699896821840402393702143_<32>

(8·10⁶¹-71)/9 =

8888888888888888888888888888888888888888888888888888888888881_<61>

= 17 · 236061787981_<12> · 2214995580036651117411167243116947866112883734053_<49>

(8·10⁶²-71)/9 =

88888888888888888888888888888888888888888888888888888888888881_<62>

= 3 · 2017 · 85301747 · 26225923710854069_<17> · 6566464570504925692919520146377717_<34>

(8·10⁶³-71)/9 =

888888888888888888888888888888888888888888888888888888888888881_<63>

= 1523 · 4912717 · 56531403083575552049_<20> · 2101532267023288646260054939637159_<34>

(8·10⁶⁴-71)/9 =

8888888888888888888888888888888888888888888888888888888888888881_<64>

= 47 · 189125295508274231678486997635933806146572104018912529550827423_<63>

(8·10⁶⁵-71)/9 =

88888888888888888888888888888888888888888888888888888888888888881_<65>

= 3² · 13 · 59 · 3701 · 1088973377_<10> · 303995090251100465972281_<24> · 10510096104519528280304371_<26>

(8·10⁶⁶-71)/9 =

888888888888888888888888888888888888888888888888888888888888888881_<66>

= 7 · 4898978164861898521_<19> · 25920533366514126547728464295933731547189141023_<47>

(8·10⁶⁷-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888881_<67>

= 167 · 691 · 77028769282467385537655995293542196841242743649218687564571773_<62>

(8·10⁶⁸-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888881_<68>

= 3 · 19 · 43 · 2131 · 6269 · 170254037 · 295299912085811_<15> · 53996015152374393925890925396288147_<35>

(8·10⁶⁹-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888881_<69>

= 2719 · 400492068099919309260053891_<27> · 816289764382078963675800945862580041189_<39>

(8·10⁷⁰-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888881_<70>

= 31 · 53 · 5593933 · 14919899 · 64822648381886377878864607954612907728294457759426701_<53>

(8·10⁷¹-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888881_<71>

= 3 · 13 · 12269 · 25782478840997_<14> · 812380943352796833287339_<24> · 8869299220444799545368748277_<28>

(8·10⁷²-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888881_<72>

= 7 · 23 · 643 · 1668197 · 6213329 · 8229898096327_<13> · 100657116378141820071800745747399028680697_<42>

(8·10⁷³-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888881_<73>

= 8707 · 273028115151124299921594622127_<30> · 3739138587461123013152500959152842095029_<40>

(8·10⁷⁴-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888881_<74>

= 3² · 439 · 1009 · 11593 · 406305744846919_<15> · 4733697296026733409530573370842010524484416968177_<49>

(8·10⁷⁵-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888881_<75>

= 1777500551171_<13> · 738610902514735016191_<21> · 677051991029488950450954333241680438526021_<42>

(8·10⁷⁶-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888881_<76>

= 196329017453876627_<18> · 408127380570996094019895197_<27> · 110934658964609358607707792602599_<33>

(8·10⁷⁷-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888881_<77>

= 3 · 13 · 17 · 1277 · 2693 · 24671 · 1580228700104359994278810009280097536052792922700454910098211577_<64>

(8·10⁷⁸-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888881_<78>

= 7 · 2528848985352522676451939784596499379_<37> · 50214199313457754848541437127593997981277_<41>

(8·10⁷⁹-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888881_<79>

= definitely prime number

(8·10⁸⁰-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888881_<80>

= 3 · 1613 · 40883107 · 15585342899782768659768643_<26> · 28829134219884499306529420894315598493139279_<44>

(8·10⁸¹-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888881_<81>

= 29 · 89 · 1321 · 2690413378357921793801402050213571_<34> · 96903093493987576368609224964944953453111_<41>

(8·10⁸²-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888881_<82>

= 173 · 1229 · 3945591126929212855234515047341_<31> · 10595889322126517983408650959985373083651497773_<47>

(8·10⁸³-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888881_<83>

= 3⁶ · 13 · 53 · 57917 · 317006843 · 1674055328563_<13> · 7216748611643632944824581_<25> · 797837871113510456395251257_<27>

(8·10⁸⁴-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<84>

= 7 · 35291 · 887706916610772347182381078057_<30> · 4053366456519784905809470378368256694966467986109_<49>

(8·10⁸⁵-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<85>

= 31 · 521 · 550361518722610915044820066180972626393962534139612958261958323873994730288458231_<81>

(8·10⁸⁶-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<86>

= 3 · 19 · 83 · 18788604711242631344089809530519739777824749289555884356138002301604077127222339651_<83>

(8·10⁸⁷-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<87>

= 109 · 1263973 · 32277341214990394143955899553442483_<35> · 199887404728223010762012318837562578396947851_<45>

(8·10⁸⁸-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<88>

= 149 · 233 · 12060263 · 72299377 · 276582044149_<12> · 33239308235456741024707_<23> · 31940226795476121026729300724478301_<35>

(8·10⁸⁹-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<89>

= 3 · 13 · 43 · 10430491 · 16646603989197860869769040853249813_<35> · 305269920906073964862676275148312349050843891_<45>

(8·10⁹⁰-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<90>

= 7 · 3508529 · 1643845512597780354407_<22> · 22017264842843865875175525533113629560308734599744099288000561_<62> (Tetsuya Kobayashi / GMP-ECM 5.0.1)

(8·10⁹¹-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<91>

= 20449062123472983809_<20> · 434684428812290042845221327435408021817101768176807498920423104266479409_<72>

(8·10⁹²-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<92>

= 3² · 2113 · 60733 · 11715566063_<11> · 8813225736463_<13> · 745388289480452160330846496691960998138813141742322295609309_<60>

(8·10⁹³-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<93>

= 17 · 2696115030937_<13> · 11483599970747714926155066763_<29> · 1688815020727957610163511649492862010519660937390203_<52> (Robert Backstrom / GMP-ECM 5.1-beta)

(8·10⁹⁴-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<94>

= 23 · 2089 · 27400739281294450653350657130997847_<35> · 6751789924398795820044515553309704269982630304638508409_<55>

(8·10⁹⁵-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<95>

= 3 · 13 · 751 · 25643 · 118351591173669892250372472170360444015303350122585020192977615941800029851614726450203_<87>

(8·10⁹⁶-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<96>

= 7² · 53 · 197 · 28127311699091475717621756525652811877371017_<44> · 61770494179837268416339866155100718972737924977_<47> (Makoto Kamada / SNFS / 1:25:50:00)

(8·10⁹⁷-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<97>

= 14503 · 17823961 · 2457429409_<10> · 1744213981564905120913395288131159_<34> · 8022405177340373713830839574813892971117497_<43>

(8·10⁹⁸-71)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<98>

= 3 · 54282207787_<11> · 2423826651558293_<16> · 29727000040575628051_<20> · 154958492662377467143_<21> · 48887822766425277985710802296329_<32>

(8·10⁹⁹-71)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<99>

= 647 · 5867 · 172657 · 1356259889931005229816485521070076654865091525342968551827405052950714464615470518884517_<88>

(8·10¹⁰⁰-71)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<100>

= 31 · 61 · 74019168002909_<14> · 63505559923412042302140898835651827595404215317636188119825948724364686252641874199_<83>

(8·10¹⁰¹-71)/9 =

(8)₁₀₀1_<101>

= 3² · 13 · 4449335617_<10> · 8425709268442390289899_<22> · 20265623970866581742765754643906510295322366305985171061132463319271_<68>

(8·10¹⁰²-71)/9 =

(8)₁₀₁1_<102>

= 7 · 7605794856281_<13> · 16695707599746954086327152035648994949038467650651446221066874196535283527736224853134943_<89>

(8·10¹⁰³-71)/9 =

(8)₁₀₂1_<103>

= 113 · 13861569351329549_<17> · 5674879339866747267463496639822848551568696179389286070855900765235883040721782702213_<85>

(8·10¹⁰⁴-71)/9 =

(8)₁₀₃1_<104>

= 3 · 19 · 3042757 · 138325193263606332629041159_<27> · 3705135251482543084096447177205699868239076100608900164360189406871091_<70>

(8·10¹⁰⁵-71)/9 =

(8)₁₀₄1_<105>

= 203713 · 349476778536336206471041424143_<30> · 9731811870711670722256054349377_<31> · 1282970600251542730234855151609912933567_<40> (Naoki Yamamoto)

(8·10¹⁰⁶-71)/9 =

(8)₁₀₅1_<106>

= 5563 · 9566651 · 39652423 · 4212197794122985174139765673593616930297996668017871812810767646718890538214029381601119_<88>

(8·10¹⁰⁷-71)/9 =

(8)₁₀₆1_<107>

= 3 · 13² · 4683428044274788695884568685501718594255477_<43> · 37434812831308763886176667704776775216556641507968389073947479_<62> (Naoki Yamamoto)

(8·10¹⁰⁸-71)/9 =

(8)₁₀₇1_<108>

= 7 · 9719 · 13065554787954211763245614464875705744107843089219774063893829301793084075211866136858420015123379667057_<104>

(8·10¹⁰⁹-71)/9 =

(8)₁₀₈1_<109>

= 17 · 29 · 53 · 206207316037_<12> · 10018708762221822391_<20> · 340230700565527765668021647_<27> · 483988862228812184876428771896242720835631661461_<48>

(8·10¹¹⁰-71)/9 =

(8)₁₀₉1_<110>

= 3³ · 43 · 47 · 107 · 1657 · 17482455018321939827204777920237_<32> · 525543530548990224655205437930526769887413862536485408822128741629361_<69> (Naoki Yamamoto / GGNFS / 5 hours)

(8·10¹¹¹-71)/9 =

(8)₁₁₀1_<111>

= 773982442441174323743_<21> · 251387268111793279704641072230347489632606863_<45> · 4568494329473825862721554802202344882899895009_<46> (Naoki Yamamoto)

(8·10¹¹²-71)/9 =

(8)₁₁₁1_<112>

= 485067313962472488439347747143603_<33> · 18325062590336859694276228865377928058153164816809446347805530847002505332697227_<80> (Naoki Yamamoto / GGNFS / 9 hours)

(8·10¹¹³-71)/9 =

(8)₁₁₂1_<113>

= 3 · 13 · 83663 · 153711846664609711_<18> · 177231983069493102974361350581664202340961497565078351742821005439030049433002047865561703_<90>

(8·10¹¹⁴-71)/9 =

(8)₁₁₃1_<114>

= 7 · 1453 · 2335702570421513_<16> · 37416769157580502838849426341185078497096424009885420752322100410590931626686004276743772594347_<95>

(8·10¹¹⁵-71)/9 =

(8)₁₁₄1_<115>

= 31 · 121291 · 1043897 · 2264642000471293339283637934748890788674320983127638368396331236683139459254196934771902610166135285013_<103>

(8·10¹¹⁶-71)/9 =

(8)₁₁₅1_<116>

= 3 · 23 · 735617 · 16063601 · 109019383402061093438046906916001575062431627810626892921568063813135716388375710721471973193579329997_<102>

(8·10¹¹⁷-71)/9 =

(8)₁₁₆1_<117>

= 257 · 619 · 1656131 · 3373875236813289361413944138329428743352924724067948308584939959525350602544711884579349353522908207592497_<106>

(8·10¹¹⁸-71)/9 =

(8)₁₁₇1_<118>

= 854713 · 4072216400459_<13> · 2553855491797479409134003606517065666530764357990719879634496281236696984542599072088573152526495243_<100>

(8·10¹¹⁹-71)/9 =

(8)₁₁₈1_<119>

= 3² · 13 · 4349 · 7250090209_<10> · 686600106509497280753338336393_<30> · 35093358369431750921247187546668283152322260369035773250571420822511363561_<74>

(8·10¹²⁰-71)/9 =

(8)₁₁₉1_<120>

= 7 · 41109083 · 7250708775037199879025189199_<28> · 426021175353918824704540396267389351147465945869342287540201528994822049771054339499_<84> (Naoki Yamamoto / GGNFS-0.42.0 / 3 hours)

(8·10¹²¹-71)/9 =

(8)₁₂₀1_<121>

= 1471 · 49363 · 122414611627165973343205337273394506087622784552408959882263585170777801494078597895845538357021807782045900928597_<114>

(8·10¹²²-71)/9 =

(8)₁₂₁1_<122>

= 3 · 19 · 53 · 587 · 446987627 · 71032228691_<11> · 7668218938047491_<16> · 18572744985853093069_<20> · 11085036013825342181721653847398086495171005588575704805052601_<62>

(8·10¹²³-71)/9 =

(8)₁₂₂1_<123>

= 59 · 2371 · 39675256449581_<14> · 13743112145606138592276235346147400975883_<41> · 11653572407563622678749471750669621137543866870846033463628735823_<65> (Chris Monico / GGNFS)

(8·10¹²⁴-71)/9 =

(8)₁₂₃1_<124>

= 76949 · 2503548361_<10> · 861097009984146735768443_<24> · 53584160493399308546694467898624164519984954926129232214905491028970841961120414026303_<86>

(8·10¹²⁵-71)/9 =

(8)₁₂₄1_<125>

= 3 · 13 · 17 · 89 · 173 · 922504058548251284436573284168962093370710273699_<48> · 9439077542687304031267742292486251570088463036922530791706458855090329_<70> (Naoki Yamamoto / GGNFS-0.42.0 / 3.5 hours)

(8·10¹²⁶-71)/9 =

(8)₁₂₅1_<126>

= 7 · 10753 · 50015167 · 26794209605759549323741377211159_<32> · 8812053354955212732888180895616445856204044471539992512380225423754780097963424687_<82> (Tetsuya Kobayashi / GMP-ECM 5.0.3)

(8·10¹²⁷-71)/9 =

(8)₁₂₆1_<127>

= 83 · 1865105467_<10> · 105934501096801915597_<21> · 110200847210304023324324034241_<30> · 4918624074668189416786041803705616666773072510488259702943059130773_<67> (Tetsuya Kobayashi / GMP-ECM 5.0.3)

(8·10¹²⁸-71)/9 =

(8)₁₂₇1_<128>

= 3² · 3119 · 8271262583_<10> · 822975312063499271_<18> · 1840985544255821228641_<22> · 1460477829610318119022225579_<28> · 173015746420522694664354427852795265180353743893_<48>

(8·10¹²⁹-71)/9 =

(8)₁₂₈1_<129>

= 3232883 · 4712821 · 281801578199_<12> · 24643089979989904878212231_<26> · 8401134956961031412628320849778093199853343125109187010124360571247282830691743_<79>

(8·10¹³⁰-71)/9 =

(8)₁₂₉1_<130>

= 31 · 362791645874116663_<18> · 351127620084747953086032902879_<30> · 2250937896568268128530971256845564419903608981264290387459314036523226283091874263_<82> (Naoki Yamamoto / GGNFS-0.42.0 / 7 hours)

(8·10¹³¹-71)/9 =

(8)₁₃₀1_<131>

= 3 · 13 · 43 · 205452220941053456381764541983761700591_<39> · 198893883663448598360206316239185131829733873_<45> · 1297125946323526646472484824054582043569965771_<46> (Sinkiti Sibata / GGNFS / Mar 16, 2005)

(8·10¹³²-71)/9 =

(8)₁₃₁1_<132>

= 7 · 116741 · 134207 · 46200662687_<11> · 253554088157_<12> · 5864474589416491152911071_<25> · 589305750568560122081576433034339_<33> · 200199159490266122819771512031215061754179_<42>

(8·10¹³³-71)/9 =

(8)₁₃₂1_<133>

= 2083 · 281540027927_<12> · 44180697947286255158411062483799634703103896793670097_<53> · 343072167102739027740217720669150545239984708581552287416209632653_<66> (Sinkiti Sibata / GGNFS-0.73.4 / 36.87 hours / Mar 18, 2005)

(8·10¹³⁴-71)/9 =

(8)₁₃₃1_<134>

= 3 · 29629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627_<134>

(8·10¹³⁵-71)/9 =

(8)₁₃₄1_<135>

= 53 · 2399 · 37871 · 14651317 · 9168542230268127965990323_<25> · 1374224327052693363537780164866315249599339149905394633603541387814015102346987358404305799443_<94>

(8·10¹³⁶-71)/9 =

(8)₁₃₅1_<136>

= 1283 · 1321 · 1877 · 498089 · 1208353327453057_<16> · 698569176877377408059_<21> · 12504339710170645098009442266870757_<35> · 531474772660867332701858524435034126875097936290729_<51>

(8·10¹³⁷-71)/9 =

(8)₁₃₆1_<137>

= 3³ · 13 · 29 · 521 · 1307 · 3257 · 45178793033515433_<17> · 22806822638123390003_<20> · 3821306597478701053158657073866937272671511567025874158999266543364122324495285588156259_<88>

(8·10¹³⁸-71)/9 =

(8)₁₃₇1_<138>

= 7² · 23 · 823 · 953126908649690815881932198872510676877162465427926423951261251_<63> · 1005478979268033474209037726769876604944030148214639347290810254224411_<70> (Sinkiti Sibata / GGNFS-0.73.4 / 65.93 hours / Mar 21, 2005)

(8·10¹³⁹-71)/9 =

(8)₁₃₈1_<139>

= definitely prime number

(8·10¹⁴⁰-71)/9 =

(8)₁₃₉1_<140>

= 3 · 19 · 9069503 · 77931890930521_<14> · 36520205728049807_<17> · 60414432968154991534262731400508009962242589944139914414154828091573789498967883246258433371282664113_<101>

(8·10¹⁴¹-71)/9 =

(8)₁₄₀1_<141>

= 17 · 37955909681747_<14> · 170996827842281685854881_<24> · 8056215924457758988444634537844655392686637239266663982436852709000456892547424591461724032920731806299_<103>

(8·10¹⁴²-71)/9 =

(8)₁₄₁1_<142>

= 302443 · 47740051 · 343981975751_<12> · 1896885341254234208239_<22> · 388562204782038580671487724339_<30> · 14534519597307531085378406375591_<32> · 167064070229867308565942853700778597_<36>

(8·10¹⁴³-71)/9 =

(8)₁₄₂1_<143>

= 3 · 13 · 223 · 175937 · 11183087 · 577824862557427_<15> · 13809248179977295317907181032580714669908659084201317843_<56> · 651017798512443364918142954111615946493835558472066351647_<57> (Sinkiti Sibata / GGNFS-0.73.4 / 27.43 hours / Mar 24, 2005)

(8·10¹⁴⁴-71)/9 =

(8)₁₄₃1_<144>

= 7 · 4167287 · 7583438431_<10> · 15189300151_<11> · 503384515187967653_<18> · 251718874114825600793_<21> · 32242644237229034196349_<23> · 1219436204419377392124805769_<28> · 53099047213255715626172124761_<29>

(8·10¹⁴⁵-71)/9 =

(8)₁₄₄1_<145>

= 31 · 229 · 409 · 8009 · 15217 · 3248977 · 7731664887039166655722643095928718349104780680635680904453847332952354853534594682290171753771342732580575518621409509981411_<124>

(8·10¹⁴⁶-71)/9 =

(8)₁₄₅1_<146>

= 3² · 8071981 · 957192698577191959_<18> · 244015058696722731017342474697235400573_<39> · 5238522716535463823830498912093836594874424872235128509924294388313944637065183927_<82> (Sinkiti Sibata / GGNFS-0.73.4 / 43.01 hours / Mar 26, 2005)

(8·10¹⁴⁷-71)/9 =

(8)₁₄₆1_<147>

= 28879 · 294504784002895550590988602520201224751949031176319_<51> · 104513639818877686348191140169016064234268586680938648198689183872661179840736203367068100481_<93> (Sinkiti Sibata / GGNFS-0.73.4 / 37.76 hours / Mar 28, 2005)

(8·10¹⁴⁸-71)/9 =

(8)₁₄₇1_<148>

= 53 · 741187 · 870778187 · 2905327130803214809_<19> · 1376606724767598532151_<22> · 64972764628510152434170510166330422084220957508928930913207765828950226398813873129781289587_<92>

(8·10¹⁴⁹-71)/9 =

(8)₁₄₈1_<149>

= 3 · 13 · 8167 · 8537 · 2060329241_<10> · 1473088110229_<13> · 5118471114714347680291_<22> · 2104308581689304949426520852286753906835401898325844337559650752738119146612753169895049584907599_<97>

(8·10¹⁵⁰-71)/9 =

(8)₁₄₉1_<150>

= 7 · 39119 · 74975514714601_<14> · 3953010438312526830606053_<25> · 278093556698362052053293534853_<30> · 20097196725658504721430579226829_<32> · 1959692207996245702222602127514306060796873037_<46> (Tetsuya Kobayashi / GMP-ECM 5.0.3 (B1=1000000))

(8·10¹⁵¹-71)/9 =

(8)₁₅₀1_<151>

= 97 · 4519 · 15391 · 41719 · 162947 · 3292453359199_<13> · 4871484677071_<13> · 291803269194541112461_<21> · 204765759827187923048018365333639518591359_<42> · 202235709046705564215146867811174305291181079_<45> (Makoto Kamada / msieve 0.87 / 1.3 hours)

(8·10¹⁵²-71)/9 =

(8)₁₅₁1_<152>

= 3 · 43 · 1853927 · 4204279 · 7297846909_<10> · 54055784093_<11> · 41852930861153999543319597376037498948438646374273_<50> · 5354400016690058007150197629839830971822257922958622091177046313833_<67> (Sinkiti Sibata / GGNFS-0.77.1 / 47.04 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 5, 2006)

(8·10¹⁵³-71)/9 =

(8)₁₅₂1_<153>

= 8825839534511526662522911_<25> · 1296444514871243498998765398449712354381717833_<46> · 77685061845475214425509536216756309596984840086525079446336201532416456388867813687_<83> (suberi / GGNFS-0.77.1-20060513-pentium4 / 60.66 hours on Pentium 4 2.26GHz, Windows XP and Cygwin / Jun 18, 2006)

(8·10¹⁵⁴-71)/9 =

(8)₁₅₃1_<154>

= 66931 · 582031 · 174515111 · 69342185953_<11> · 31716109421076795373899516364671743827_<38> · 594516036272926696957983957018200081631523371414648045151308665913465157064353040222081_<87> (Chris Monico / GGNFS-08 / 35.90 hours on AMD X2, SUSE 10.1 / Oct 31, 2006)

(8·10¹⁵⁵-71)/9 =

(8)₁₅₄1_<155>

= 3² · 13 · 937 · 74509 · 132589 · 2212747 · 37091469058062782483499917462771705894971403930247006429549081275708847047492954464860141256463326362174071579987208602249728132612087_<134>

(8·10¹⁵⁶-71)/9 =

(8)₁₅₅1_<156>

= 7 · 47 · 131 · 248692069 · 9944396663_<10> · 9275005532447911_<16> · 2997698735605426418767872380233_<31> · 9764529913019020615309018869039972997_<37> · 30717538201460534340297361939081901505386210927107_<50> (JMB / GGNFS-0.77.1 gnfs for P31 x P37 x P50 / 41.67 hours on WinXP Pro, Cygwin, AMD 3800+, 4gb DDR, 6-drive SCSI RAID / Sep 18, 2006)

(8·10¹⁵⁷-71)/9 =

(8)₁₅₆1_<157>

= 17² · 2473 · 2225702316403_<13> · 5588026289589541715934810367532361417480956811083884735949864350280238326402657317088149883031312711029401637030354503204430810007907771891_<139>

(8·10¹⁵⁸-71)/9 =

(8)₁₅₇1_<158>

= 3 · 19 · 9664697394220315840642753734651277_<34> · 14494535430151793717771340261148093622724469909_<47> · 11132175926860369123565167768321340729065242118076195884675837389472472816681_<77> (Chris Monico / GGNFS-08 / 49.61 hours on AMD64 X2 / Nov 1, 2006)

(8·10¹⁵⁹-71)/9 =

(8)₁₅₈1_<159>

= 361806073 · 594834357503_<12> · 298201982449876601_<18> · 13850487305863329347325698656102347634983845252603054463890900595377022319169778844217624258688387583418444790823728719999_<122>

(8·10¹⁶⁰-71)/9 =

(8)₁₅₉1_<160>

= 23 · 31 · 61 · 6392651 · 31970329877976395940755146751589849650278596795923517650121275471860674484149446541985283903717966990341606317991472993956862604106481977550420478967_<149>

(8·10¹⁶¹-71)/9 =

(8)₁₆₀1_<161>

= 3 · 13 · 53² · 180073 · 209738761 · 51115477509159931763794507652915563600336098152047_<50> · 420292278186894375636799893551544441041889854586442640683219972715067693082843449444417750241_<93> (Chris Monico / GGNFS-08 / 65.97 hours on AMD64 X2 / Nov 2, 2006)

(8·10¹⁶²-71)/9 =

(8)₁₆₁1_<162>

= 7 · 1353513349_<10> · 9349163828091071_<16> · 8774458176325331464367297_<25> · 1143651794695320684907470033490978653047649422111707212073644491688360050938218826660295677402329547796349824741_<112>

(8·10¹⁶³-71)/9 =

(8)₁₆₂1_<163>

= 107 · 331525272836625077861926530888596074621005958963348147811333_<60> · 250580377244662029958853007009725953486242048898063827611155437846422355414015990463558317384787413751_<102> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 76.77 hours on Cygwin on AMD 64 3400+ / May 2, 2007)

(8·10¹⁶⁴-71)/9 =

(8)₁₆₃1_<164>

= 3⁴ · 499 · 6702863948665376016824925578772117152858124361875429504392949157960651371083473_<79> · 328096432855899090449878151867788591711321056497892958204836930069357451062128363_<81> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 92.52 hours on Cygwin on AMD XP 2700+ / Aug 12, 2007)

(8·10¹⁶⁵-71)/9 =

(8)₁₆₄1_<165>

= 29 · 3613 · 251295937703_<12> · 435798162781962839_<18> · 77465914993729338831280952043855184277485727377820670991873847833612063118625912693706473903919490522248151432509100542760525874409_<131>

(8·10¹⁶⁶-71)/9 =

(8)₁₆₅1_<166>

= 383 · 2887 · 55815703 · 141560894710474867768362601769154727182998709670386480583402999463_<66> · 1017424571164532619839800754370275756667350476653199232325748520042742652983871482885049_<88> (Chris Monico / GGNFS-0.80.1 / 119.05 hours on Athlon 64 X2 4200+, Suse 10.1 / Dec 5, 2006)

(8·10¹⁶⁷-71)/9 =

(8)₁₆₆1_<167>

= 3 · 13 · 7480258613071537_<16> · 2269232521002778040596096495435919_<34> · 134272556782880983389435035962509777764315564283238280173555744073973109616249276693619292540182473602203459354521593_<117> (Robert Backstrom / GMP-ECM 6.1.3 B1=2492000, sigma=1402222048 for P34 / Feb 4, 2008)

(8·10¹⁶⁸-71)/9 =

(8)₁₆₇1_<168>

= 7 · 83 · 173 · 180380873 · 1899953897191177928067350987423_<31> · 30196695799267574612214510483582331213049_<41> · 854539752983938975409709010100505812475698391065616612344483235106134591693546624847_<84> (Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=4082104097 for P31 / Mar 30, 2005) (Robert Backstrom / GMP-ECM 6.2.1 B1=6486000, sigma=3532503115 for P41 / Oct 12, 2008)

(8·10¹⁶⁹-71)/9 =

(8)₁₆₈1_<169>

= 89 · 463 · 673 · 419791 · 47781549603347332166946262947607610229479_<41> · 15979679407133185494514008168674390360680444782139128263236808135037861497132308268172748142259881307507065765651839_<116> (Robert Backstrom / GMP-ECM 6.2.1 B1=2142000, sigma=1574911451 for P41 / Jul 22, 2008)

(8·10¹⁷⁰-71)/9 =

(8)₁₆₉1_<170>

= 3 · 10039 · 716789 · 2965043 · 443198506540851385333367717395890976633598570600406398617488535633577_<69> · 3133395045463270610737589355782572374210977477082636826967676595220533524174375587867_<85> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.38 snfs / 7.00 hours, 1.97 hours / Sep 30, 2008)

(8·10¹⁷¹-71)/9 =

(8)₁₇₀1_<171>

= 490495186445716499903546190527360322733_<39> · [1812227547695338990139111331659481227718936923485793131187307981943599988246636920562997784520297027204900940804099010280555958260757_<133>] (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=4117661868 for P39 / Mar 3, 2005) SUBMIT/RESERVE

(8·10¹⁷²-71)/9 =

(8)₁₇₁1_<172>

= 179 · 286168242716791_<15> · 859892965727862593870368712758282269775693_<42> · 96055266805913240015249975071088706895776783497_<47> · 2100909916748059669934740832392497068778405503990060382377373126649_<67> (Serge Batalov / Msieve-1.38 snfs / 80.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 23, 2008)

(8·10¹⁷³-71)/9 =

(8)₁₇₂1_<173>

= 3² · 13 · 17 · 43 · 73819349 · 689479898902332034363_<21> · [20419843941197353791040696092597137963865400866495972289330486942965055929496647996235911574909705507595684650681311127191200053805001729569_<140>] SUBMIT/RESERVE

(8·10¹⁷⁴-71)/9 =

(8)₁₇₃1_<174>

= 7 · 53 · 12101 · 1939607078801257064760060301_<28> · 850114323448304243508033259581857_<33> · 78519989734889223718360727461925074539577_<41> · 1529258766563958643337276955202978587578375066092351071414778732099_<67> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2205476459 for P28 / Jul 14, 2008) (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2137109807 for P33, pol51+Msieve 1.36 gnfs for P41 x P67 / 8.5 hours on Opteron-2.6GHz; Linux x86_64 / Aug 7, 2008)

(8·10¹⁷⁵-71)/9 =

(8)₁₇₄1_<175>

= 31 · 5771423368902638327030970168234828127947353990816013247148660980653867079991_<76> · 49682432378721834064763150900527183566952281275682356497289727057025185041987238713931398215237961_<98> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 201.98 hours / Jul 6, 2008)

(8·10¹⁷⁶-71)/9 =

(8)₁₇₅1_<176>

= 3 · 19 · 1361 · 220573 · [5194720035499612325124803412322584986607086016904673173039342531034278692866162699397252541490932012658708402363721980347333486400655202962868877752096004634414000061_<166>] SUBMIT/RESERVE

(8·10¹⁷⁷-71)/9 =

(8)₁₇₆1_<177>

= 2521 · 12347 · 508009 · 2364600556759857195209813_<25> · 652164356657968751849283918254856440873_<39> · 286392555317369108538464512499833719018257_<42> · 127281476955854375844191574769583701186317121525016829505199_<60> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2437338572 for P39, pol51+Msieve 1.36 gnfs for P42 x P60 / 5.2 hours on Opteron-2.2GHz; Linux x86_64 / Aug 7, 2008)

(8·10¹⁷⁸-71)/9 =

(8)₁₇₇1_<178>

= 1109 · 8231 · 973785558859975126352023649940353808671903661057576641396809691055454640940858947758242787404682674264920625339280582566236802421259364971796553166725684157693324034168139_<171>

(8·10¹⁷⁹-71)/9 =

(8)₁₇₈1_<179>

= 3 · 13 · 643 · 231493 · 4612865269357711_<16> · 13902758998683854968064087_<26> · [238760384678050922979561192592846013047005846266107290401202354742705994220544304272740756062856565469878949800028684278789887953_<129>] SUBMIT/RESERVE

(8·10¹⁸⁰-71)/9 =

(8)₁₇₉1_<180>

= 7² · 2505187631_<10> · 3435489058820224776636748481_<28> · [2107766845891559960474959151976251293083879578904883188220904727811912904612851274427190177419790962195634645473514808274902121482667709595279_<142>] SUBMIT/RESERVE

(8·10¹⁸¹-71)/9 =

(8)₁₈₀1_<181>

= 59 · 683861 · 8508809 · 25891597908684992645648022748802226497155001257591940767782054567108407190642635730970088488051992309404561295385219252791449435922916668845867313041149166918903035391_<167>

(8·10¹⁸²-71)/9 =

(8)₁₈₁1_<182>

= 3² · 23 · 414767 · 12216137 · [84749870276535585287544139659011584594572552378694215304601946563789266586000289442128184309098809267029958741214908895133096150758160762680829901173516322298071319977_<167>] SUBMIT/RESERVE

(8·10¹⁸³-71)/9 =

(8)₁₈₂1_<183>

= 1091 · 40517427999992750644971313_<26> · 20108554749288563049085038378351683714010018036089498928286871378013772235837427720024391431816946494067043168752683550372495580299001543466655132434310507_<155>

(8·10¹⁸⁴-71)/9 =

(8)₁₈₃1_<184>

= 479 · 3907 · 1257721469_<10> · 34151974561_<11> · [110577880240971693916784665454439628638611705235624939685981331959586119730740398994595766530939017982500614323523061850019802952184332483306187706612758283753_<159>] SUBMIT/RESERVE

(8·10¹⁸⁵-71)/9 =

(8)₁₈₄1_<185>

= 3 · 13² · 263 · 4903 · 355536317138883920909919293_<27> · 382417631234544875223261385977761924949168447274795799309132361246624756201035344604262215883806433138782353081745938192649676222164281651936447940879_<150>

(8·10¹⁸⁶-71)/9 =

(8)₁₈₅1_<186>

= 7 · 6247 · 987895103890722668057692699475951929826842691_<45> · 1518369038049027997383307706026952156843005415743_<49> · 13551574573816468594611225834346709335102626184834964057831450659712303002693008791158453_<89> (Robert Backstrom / GMP-ECM 6.2.1 B1=6016000, sigma=513170549, GGNFS-0.77.1-20051202-athlon, Msieve 1.38 snfs for P45 / 82.38 hours, 7.33 hours / Oct 18, 2008)

(8·10¹⁸⁷-71)/9 =

(8)₁₈₆1_<187>

= 53 · 657557 · [255057561087505374421486809017543493507281824822328736172664072622870943274819016016687064416881712869913448033930077799665861204453410865475695152129544602472051677186946183355161_<180>] SUBMIT/RESERVE

(8·10¹⁸⁸-71)/9 =

(8)₁₈₇1_<188>

= 3 · 1336968865397089517113_<22> · [22161794785572222910269009334637656789419305639771418031827569683660478599899581069266736179786434409603598389295392825379772403513623389487504283341029211783642552979_<167>] SUBMIT/RESERVE

(8·10¹⁸⁹-71)/9 =

(8)₁₈₈1_<189>

= 17 · 521 · 30259 · 1773229 · 625516159 · 74065325249_<11> · 345781643941_<12> · 292088948280678446566609_<24> · 222819387861185833526742714383975148891821116287140753681_<57> · 1793981384058924893821212283538113799870047038762128239533917597_<64> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 gnfs for P57 x P64 / 137.34 hours on Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin / Dec 21, 2006)

(8·10¹⁹⁰-71)/9 =

(8)₁₈₉1_<190>

= 31 · 130631 · 1819798107166331261_<19> · 79551780549152904467_<20> · 516691240715476214463353437_<27> · 13300943125012238261994582238288397549590803371621527_<53> · 2206240654687068048051269685385242576181184555049501743077860013517_<67> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 gnfs for P53 x P67 / 115.85 hours on Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin / Nov 22, 2006)

(8·10¹⁹¹-71)/9 =

(8)₁₉₀1_<191>

= 3³ · 13 · 1321 · 34884649 · [5495449051848404966558928951211083283901429216715746006585959195384341491885404699358947504978452402216834843745238234104756206599299962806060426917068885905884927643515686627839_<178>] SUBMIT/RESERVE

(8·10¹⁹²-71)/9 =

(8)₁₉₁1_<192>

= 7 · 661 · 4423 · 918419027 · 9174173892538253266225939_<25> · 5154935058742217712656294531537103089343858067479717509006606532097519712153206233999331848191115257439305943702770323090317635837114761478653031590837_<151>

(8·10¹⁹³-71)/9 =

(8)₁₉₂1_<193>

= 29 · 13037 · 95429 · 1954273 · 616387325353963_<15> · 155967454343851902313_<21> · [1311349713579882372201451428875598869708960483660934388713498668498802042845127743928720995032886817171891942443172313430886032172979412591639_<142>] SUBMIT/RESERVE

(8·10¹⁹⁴-71)/9 =

(8)₁₉₃1_<194>

= 3 · 19 · 43 · 197 · 1619 · 23623 · 41312893 · 33576220031_<11> · 3964070750754299_<16> · 6002131190324170621_<19> · 145845068958395780724748065492684725203101510981729668709902915244463809992305663111843996539265909649658039555832472016473541647_<129>

(8·10¹⁹⁵-71)/9 =

(8)₁₉₄1_<195>

= 109 · 8154943934760448521916411824668705402650356778797145769622833843017329255861365953109072375127420998980632008154943934760448521916411824668705402650356778797145769622833843017329255861365953109_<193>

(8·10¹⁹⁶-71)/9 =

(8)₁₉₅1_<196>

= 146173 · 887091481901_<12> · 415328389201262395447146843143_<30> · [165051809676489778799232533609995191951694867758348728757315986368857894589713570411597574902801792062426550640905856899068949991115036314093560068479_<150>] (Makoto Kamada / GMP-ECM 6.0 B1=4000000, sigma=2672343463 for P30 / Mar 30, 2005) SUBMIT/RESERVE

(8·10¹⁹⁷-71)/9 =

(8)₁₉₆1_<197>

= 3 · 13 · 983 · 7001 · 25136039 · [13175661645681548914376314935274179508184869392784799402036014903436213391608790306858088998458119264978359688553984305868100067439273604088480900435006154533494447545628579637623167_<182>] SUBMIT/RESERVE

(8·10¹⁹⁸-71)/9 =

(8)₁₉₇1_<198>

= 7 · 181 · 246151 · 26571308869211899069_<20> · 2181736485124043717540785640249_<31> · [49164770484616078662130837495285105615980477313414831637996342826393591225258796960761072524813073625782737476138348702108473214785930571753_<140>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2812342345 for P31 / Oct 21, 2008) SUBMIT/RESERVE

(8·10¹⁹⁹-71)/9 =

(8)₁₉₈1_<199>

= 29363 · 176511263 · 1677690929_<10> · 8380433902681_<13> · [121982117617183034475626674593623835742118415561479638208153501130240086029070159279777295829270671948306210976035503221799307832923250551498916388619627459118019501_<165>] SUBMIT/RESERVE

(8·10²⁰⁰-71)/9 =

(8)₁₉₉1_<200>

= 3² · 53 · 1524071 · 1583753 · 1868635421_<10> · 41315391427473995104369648795785174509180781443233150499993371617137289719885696198143406756608232437560171292973758482436000867953394293773458432213902566703017878676729073911_<176>