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Factorizations of 88...887

About 88...887
- First ten terms
- General term
Prime numbers of the form 88...887
Factorizations of 88...887
References

1. About 88...887

First ten terms

7, 87, 887, 8887, 88887, 888887, 8888887, 88888887, 888888887, 8888888887

General term

(8·10ⁿ-17)/9

2. Prime numbers of the form 88...887

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

18.49%

Results

(8·10¹-17)/9 = 7 is prime. (Makoto Kamada / Jun 13, 2003)
(8·10³-17)/9 = 887 is prime. (Makoto Kamada / Jun 13, 2003)
(8·10⁴-17)/9 = 8887 is prime. (Makoto Kamada / Jun 13, 2003)
(8·10⁶-17)/9 = 888887 is prime. (Makoto Kamada / Jun 13, 2003)
(8·10⁹-17)/9 = 888888887 is prime. (Makoto Kamada / Jun 13, 2003)
(8·10¹²-17)/9 = (8)₁₁7_<12> is prime. (Makoto Kamada / Jun 13, 2003)
(8·10⁷²-17)/9 = (8)₇₁7_<72> is prime. (Makoto Kamada / PPSIQS / Jun 13, 2003)
(8·10¹¹⁸-17)/9 = (8)₁₁₇7_<118> is prime. (Makoto Kamada / PPSIQS / Jun 13, 2003)
(8·10¹²⁴-17)/9 = (8)₁₂₃7_<124> is prime. (Makoto Kamada / PPSIQS / Jun 13, 2003)
(8·10¹⁹⁰-17)/9 = (8)₁₈₉7_<190> is prime. (Makoto Kamada / pock 0.1.1a / Jun 13, 2003)
(8·10²⁴⁴-17)/9 = (8)₂₄₃7_<244> is prime. (Makoto Kamada / PPSIQS / Jun 13, 2003)
(8·10³⁰⁴-17)/9 = (8)₃₀₃7_<304> is prime. (Julien Peter Benney / http://www.alpertron.com.ar/ECM.HTM / Dec 1, 2004)
(8·10³⁵⁷-17)/9 = (8)₃₅₆7_<357> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
(8·10¹⁴²²-17)/9 = (8)₁₄₂₁7_<1422> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
(8·10²⁶⁹¹-17)/9 = (8)₂₆₉₀7_<2691> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
(8·10⁵⁵³⁸-17)/9 = (8)₅₅₃₇7_<5538> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
(8·10⁷⁵⁸¹-17)/9 = (8)₇₅₈₀7_<7581> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)

3. Factorizations of 88...887

Last update

May 17, 2009

Completed up to

n≤100 / Jun 13, 2003
n≤150 / Oct 2, 2004

Range

n≤200

Terms which have not been factored yet

n=180, 181, 182, 183, 184, 187, 188, 189, 196, 198, 200 (11/200)

Results

(8·10¹-17)/9 =: 7; = definitely prime number

(8·10²-17)/9 =: 87; = 3 · 29

(8·10³-17)/9 =: 887; = definitely prime number

(8·10⁴-17)/9 =: 8887; = definitely prime number

(8·10⁵-17)/9 =: 88887; = 3 · 29629

(8·10⁶-17)/9 =: 888887; = definitely prime number

(8·10⁷-17)/9 =: 8888887; = 7 · 313 · 4057

(8·10⁸-17)/9 =: 88888887; = 3³ · 227 · 14503

(8·10⁹-17)/9 =: 888888887; = definitely prime number

(8·10¹⁰-17)/9 =: 8888888887_<10>; = 67453 · 131779

(8·10¹¹-17)/9 =: 88888888887_<11>; = 3 · 19 · 1559454191_<10>

(8·10¹²-17)/9 =: 888888888887_<12>; = definitely prime number

(8·10¹³-17)/9 =: 8888888888887_<13>; = 7 · 701 · 1811471141_<10>

(8·10¹⁴-17)/9 =: 88888888888887_<14>; = 3 · 151 · 2423 · 80983373

(8·10¹⁵-17)/9 =: 888888888888887_<15>; = 23 · 113 · 28393 · 12045641

(8·10¹⁶-17)/9 =: 8888888888888887_<16>; = 107 · 181 · 4787 · 95878603

(8·10¹⁷-17)/9 =: 88888888888888887_<17>; = 3² · 653 · 26759 · 565225709

(8·10¹⁸-17)/9 =: 888888888888888887_<18>; = 60614549 · 14664612763_<11>

(8·10¹⁹-17)/9 =: 8888888888888888887_<19>; = 7 · 683 · 1859211229635827_<16>

(8·10²⁰-17)/9 =: 88888888888888888887_<20>; = 3 · 26083 · 1135974758640863_<16>

(8·10²¹-17)/9 =: 888888888888888888887_<21>; = 89 · 7019 · 8389 · 169618037513_<12>

(8·10²²-17)/9 =: 8888888888888888888887_<22>; = 211 · 29207 · 1442374618836731_<16>

(8·10²³-17)/9 =: 88888888888888888888887_<23>; = 3 · 29629629629629629629629_<23>

(8·10²⁴-17)/9 =: 888888888888888888888887_<24>; = 353 · 9438203 · 266798545801493_<15>

(8·10²⁵-17)/9 =: 8888888888888888888888887_<25>; = 7² · 181405895691609977324263_<24>

(8·10²⁶-17)/9 =: 88888888888888888888888887_<26>; = 3² · 9876543209876543209876543_<25>

(8·10²⁷-17)/9 =: 888888888888888888888888887_<27>; = 7237 · 30687353 · 4002482814237667_<16>

(8·10²⁸-17)/9 =: 8888888888888888888888888887_<28>; = 61 · 85669 · 126127 · 277157 · 48658646837_<11>

(8·10²⁹-17)/9 =: 88888888888888888888888888887_<29>; = 3 · 19 · 121930121 · 283432241 · 45124496231_<11>

(8·10³⁰-17)/9 =: 888888888888888888888888888887_<30>; = 29 · 359311 · 7099887023_<10> · 12015103842851_<14>

(8·10³¹-17)/9 =: 8888888888888888888888888888887_<31>; = 7 · 283 · 4487071624880812159964103427_<28>

(8·10³²-17)/9 =: 88888888888888888888888888888887_<32>; = 3 · 2729 · 69431933 · 156373598692984174297_<21>

(8·10³³-17)/9 =: 888888888888888888888888888888887_<33>; = 4406393393_<10> · 201727083719074759625959_<24>

(8·10³⁴-17)/9 =: 8888888888888888888888888888888887_<34>; = 191 · 727 · 5801 · 28529945497_<11> · 386790583001503_<15>

(8·10³⁵-17)/9 =: 88888888888888888888888888888888887_<35>; = 3³ · 13931 · 69877 · 70067 · 18999517 · 2540452541317_<13>

(8·10³⁶-17)/9 =: 888888888888888888888888888888888887_<36>; = 100987 · 8802013020377760393802062531701_<31>

(8·10³⁷-17)/9 =: 8888888888888888888888888888888888887_<37>; = 7 · 23 · 1769507 · 13265561 · 2352034542062031047621_<22>

(8·10³⁸-17)/9 =: 88888888888888888888888888888888888887_<38>; = 3 · 1109118952787_<13> · 26714564344226684434766767_<26>

(8·10³⁹-17)/9 =: 888888888888888888888888888888888888887_<39>; = 922166778639871_<15> · 963913371722125383063497_<24>

(8·10⁴⁰-17)/9 =: 8888888888888888888888888888888888888887_<40>; = 1013 · 65025411611_<11> · 134944417265323481201339809_<27>

(8·10⁴¹-17)/9 =: 88888888888888888888888888888888888888887_<41>; = 3 · 491 · 60345477860752809836312891302708003319_<38>

(8·10⁴²-17)/9 =: 888888888888888888888888888888888888888887_<42>; = 457 · 827 · 2351937452575386210179126496309957133_<37>

(8·10⁴³-17)/9 =: 8888888888888888888888888888888888888888887_<43>; = 7 · 47440135861_<11> · 26767235101558636349324372139181_<32>

(8·10⁴⁴-17)/9 =: 88888888888888888888888888888888888888888887_<44>; = 3² · 47 · 210139217231415812976096664039926451273969_<42>

(8·10⁴⁵-17)/9 =: 888888888888888888888888888888888888888888887_<45>; = 349 · 9752219159_<10> · 1603313803069729_<16> · 162892116644766133_<18>

(8·10⁴⁶-17)/9 =: 8888888888888888888888888888888888888888888887_<46>; = 208741784608902539_<18> · 42583179527486853115662380933_<29>

(8·10⁴⁷-17)/9 =: 88888888888888888888888888888888888888888888887_<47>; = 3 · 19 · 1206837812765149_<16> · 1292182076612318290389807129659_<31>

(8·10⁴⁸-17)/9 =: 888888888888888888888888888888888888888888888887_<48>; = 541 · 1643047853768741014582049702197576504415691107_<46>

(8·10⁴⁹-17)/9 =: 8888888888888888888888888888888888888888888888887_<49>; = 7 · 97 · 28163 · 3056338571963_<13> · 152088832368496816684843340737_<30>

(8·10⁵⁰-17)/9 =: 88888888888888888888888888888888888888888888888887_<50>; = 3 · 29629629629629629629629629629629629629629629629629_<50>

(8·10⁵¹-17)/9 =: 888888888888888888888888888888888888888888888888887_<51>; = 167 · 295242511 · 18028189569958292153435957177534524497151_<41>

(8·10⁵²-17)/9 =: 8888888888888888888888888888888888888888888888888887_<52>; = 211 · 1213 · 30071 · 354971 · 3253594885576596692407719693311945749_<37>

(8·10⁵³-17)/9 =: 88888888888888888888888888888888888888888888888888887_<53>; = 3² · 19991833 · 494028897193996328894731324029994808874030871_<45>

(8·10⁵⁴-17)/9 =: 888888888888888888888888888888888888888888888888888887_<54>; = 163 · 197 · 6827 · 50461 · 26437133560841_<14> · 3039439661298983104755516271_<28>

(8·10⁵⁵-17)/9 =: 8888888888888888888888888888888888888888888888888888887_<55>; = 7 · 59 · 1933012124929_<13> · 11134298181358123644496113605625693237731_<41>

(8·10⁵⁶-17)/9 =: 88888888888888888888888888888888888888888888888888888887_<56>; = 3 · 353 · 312241 · 42623833667_<11> · 6306800304008249581554133874626805519_<37>

(8·10⁵⁷-17)/9 =: 888888888888888888888888888888888888888888888888888888887_<57>; = 358926406326741707242517_<24> · 2476521295788156897769778684483611_<34>

(8·10⁵⁸-17)/9 =: 8888888888888888888888888888888888888888888888888888888887_<58>; = 29 · 13713419 · 4423432506127_<13> · 200569163448209_<15> · 25193016192734218775159_<23>

(8·10⁵⁹-17)/9 =: 88888888888888888888888888888888888888888888888888888888887_<59>; = 3 · 23 · 1183593627051761_<16> · 1088418133607691738475197472261118554146043_<43>

(8·10⁶⁰-17)/9 =: 888888888888888888888888888888888888888888888888888888888887_<60>; = 72489036701_<11> · 795681390997_<12> · 15411181950960642256862331335226731671_<38>

(8·10⁶¹-17)/9 =: 8888888888888888888888888888888888888888888888888888888888887_<61>; = 7 · 2583399138698192253035843_<25> · 491538938300164890154578554615610587_<36>

(8·10⁶²-17)/9 =: 88888888888888888888888888888888888888888888888888888888888887_<62>; = 3⁴ · 70115244472396945100392491797_<29> · 15651285226828323535842902667691_<32>

(8·10⁶³-17)/9 =: 888888888888888888888888888888888888888888888888888888888888887_<63>; = 374069 · 480553 · 2454427695354751_<16> · 2014671409205400336251221362847198141_<37>

(8·10⁶⁴-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888887_<64>; = 86414959 · 102862849114918736336944728387696034073092471048778590393_<57>

(8·10⁶⁵-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888887_<65>; = 3 · 19 · 89 · 1788170049332410811398967_<25> · 9798820424914911855563063219386014257_<37>

(8·10⁶⁶-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888887_<66>; = 109 · 97459114814833_<14> · 4427210250353021323_<19> · 18900285729085339971073142480777_<32>

(8·10⁶⁷-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888887_<67>; = 7² · 2170877 · 705375714092867_<15> · 118466532576533824225858036771064297172866257_<45>

(8·10⁶⁸-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888887_<68>; = 3 · 146683 · 113444331809_<12> · 43582161611347803569_<20> · 40855908374892126568415681389303_<32>

(8·10⁶⁹-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888887_<69>; = 107 · 13829 · 349187 · 2445235810058428649135357177_<28> · 703548609561832995280220329571_<30>

(8·10⁷⁰-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888887_<70>; = 131 · 548384923 · 35966255228420082558637937_<26> · 3440293176217093918851567854695927_<34>

(8·10⁷¹-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888887_<71>; = 3² · 317 · 7302739 · 3897696581_<10> · 1094591064506352387955742173760621783738446947654581_<52>

(8·10⁷²-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888887_<72>; = definitely prime number

(8·10⁷³-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888887_<73>; = 7 · 2256469499_<10> · 562755787483068407861444472306279483758198705366710494707130659_<63>

(8·10⁷⁴-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888887_<74>; = 3 · 677 · 3359743 · 3472797583_<10> · 212050236757_<12> · 17689406583541876489221952093441190137266469_<44>

(8·10⁷⁵-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888887_<75>; = 397 · 850853 · 80138890759128315800869533407_<29> · 32836670077827929990802653806866157001_<38>

(8·10⁷⁶-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888887_<76>; = 32183 · 276198268927349497837022306462694245063819062514025693343966966687036289_<72>

(8·10⁷⁷-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888888887_<77>; = 3 · 29629629629629629629629629629629629629629629629629629629629629629629629629629_<77>

(8·10⁷⁸-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888888887_<78>; = 2751274269158707_<16> · 10382898827009459_<17> · 11496939684377821_<17> · 2706529193510729307040040554219_<31>

(8·10⁷⁹-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888888887_<79>; = 7 · 121577 · 10444749170001479237601201459497025270156701266203885942816826125346651433_<74>

(8·10⁸⁰-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888888888887_<80>; = 3² · 34880305741_<11> · 840639640592623_<15> · 336833144475857398851559010301161894136354511550445301_<54>

(8·10⁸¹-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888888888887_<81>; = 23 · 1187 · 9468937 · 11380616169389_<14> · 302135613193555811012057794330083176970833868874773920959_<57>

(8·10⁸²-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888888888887_<82>; = 211 · 569 · 4441 · 8706463 · 20338152569677_<14> · 370042997257602967_<18> · 254428954331902643072604429096222569_<36>

(8·10⁸³-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888888888888887_<83>; = 3 · 19 · 2113 · 2213 · 38866739 · 8580519980628989647776846708341351496533527992466040179655877857201_<67>

(8·10⁸⁴-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<84>; = 2357 · 6211 · 6630853 · 20791030729669632279437_<23> · 440434109244553869982929947684624017482845441321_<48>

(8·10⁸⁵-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<85>; = 7 · 409 · 2719 · 1141870680776020453073446992000753406275176018294937860325322097097460361136871_<79>

(8·10⁸⁶-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<86>; = 3 · 29 · 631 · 8623 · 8163088877_<10> · 145336221956147_<15> · 30771106813167047_<17> · 5143621114302961835010667533262127689_<37>

(8·10⁸⁷-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<87>; = 769 · 3083 · 108252710717889764298258237829_<30> · 3463449286331711787370086530012525359037445776777089_<52> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(8·10⁸⁸-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<88>; = 61 · 353 · 12953 · 1517189 · 8066212145101651859_<19> · 2604133511632173766134251093495852151549607911862337413_<55>

(8·10⁸⁹-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<89>; = 3³ · 151 · 7925969 · 205519392409_<12> · 14293727990583137_<17> · 569112856389674483_<18> · 1645347666579036120218792450330041_<34>

(8·10⁹⁰-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<90>; = 47 · 18245243 · 18733717 · 55331954662041692666191220413896539380467379068282360079546200257838855791_<74>

(8·10⁹¹-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<91>; = 7 · 26879 · 382163 · 123619702109226731888986194293925359007051665077220729827069373414396467722318133_<81>

(8·10⁹²-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<92>; = 3 · 279283337550525935867940795769863543469_<39> · 106091648322088852903312355734083136627738026421314641_<54>

(8·10⁹³-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<93>; = 359 · 580733966685655106239_<21> · 1924885809386036534238227613462653_<34> · 2214985205660825746181983645653193979_<37>

(8·10⁹⁴-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<94>; = 42871063 · 47286409 · 539818002729091911892485864552426101_<36> · 8122683422091205674144724282658680621418261_<43>

(8·10⁹⁵-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<95>; = 3 · 2167641575289763798915166679163411_<34> · 13669063173264163821425690412811023023706745118790002279110639_<62>

(8·10⁹⁶-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<96>; = 556153653790396695361_<21> · 820317561939223243997239_<24> · 1948366588348176530159300312641300680552433260981953_<52>

(8·10⁹⁷-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<97>; = 7 · 149 · 143287 · 1832371 · 81039613693_<11> · 33703140610313_<14> · 91487972688143_<14> · 1129182870064859_<16> · 115039490546454459629311636849_<30>

(8·10⁹⁸-17)/9 =: 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<98>; = 3² · 22543 · 2671309 · 35397941 · 154879440839428920671709441233_<30> · 29915575132025967141714776189064157061279102004113_<50>

(8·10⁹⁹-17)/9 =: 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<99>; = 127402918990945772986938184297_<30> · 695604761144473408771648496543_<30> · 10030106702981197564175891734719007005697_<41> (Robert Backstrom / NFSX v1.8)

(8·10¹⁰⁰-17)/9 =: 8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887_<100>; = 15269 · 6850659575623837374442084444810217299411_<40> · 84977606689344202437715685183914631229507086238287797193_<56> (Robert Backstrom / NFSX v1.8)

(8·10¹⁰¹-17)/9 =: (8)₁₀₀7_<101>; = 3 · 19 · 2985716501816559534553_<22> · 522304843773459589234128913257315158070213985944974635588522950232904015453447_<78>

(8·10¹⁰²-17)/9 =: (8)₁₀₁7_<102>; = 5657 · 128758530617_<12> · 3281537617219436647_<19> · 1463207444407269901148122448576051_<34> · 254156954492639107179308233623802459_<36>

(8·10¹⁰³-17)/9 =: (8)₁₀₂7_<103>; = 7 · 23 · 2777 · 22597320485551835403553961780765417537_<38> · 879809762680304214540222035782149371418095099352497635753583_<60> (Robert Backstrom / NFSX v1.8)

(8·10¹⁰⁴-17)/9 =: (8)₁₀₃7_<104>; = 3 · 1117 · 231109 · 458086543 · 5367305905595316578792941575210557_<34> · 46682306869100474346571257004561194270652852520578943_<53>

(8·10¹⁰⁵-17)/9 =: (8)₁₀₄7_<105>; = 337 · 14887 · 32617821627955348358176457_<26> · 5431945887229419326734168487274417212776927299714203571221007778977780889_<73>

(8·10¹⁰⁶-17)/9 =: (8)₁₀₅7_<106>; = 1261660972086485864661721724784731807_<37> · 7045386269013925371337711452495230948232840724725814650492829294766441_<70> (Robert Backstrom / NFSX v1.8)

(8·10¹⁰⁷-17)/9 =: (8)₁₀₆7_<107>; = 3² · 22248427433759_<14> · 709245434802893_<15> · 625905978021447631239264731135522055274904946324981703822949746354569107391589_<78>

(8·10¹⁰⁸-17)/9 =: (8)₁₀₇7_<108>; = 295283 · 511541 · 1466821 · 8685155981_<10> · 461927527017482449327764092223556074354628709248871975339978547865934981443096729_<81>

(8·10¹⁰⁹-17)/9 =: (8)₁₀₈7_<109>; = 7² · 89 · 2038268490916966037351270096053402634462024510178603276516599149022905042166679405844734897704400112104767_<106>

(8·10¹¹⁰-17)/9 =: (8)₁₀₉7_<110>; = 3 · 1637 · 15766643 · 723548233 · 9899934243079107571_<19> · 23338928457939308360778840341713_<32> · 6866850610572878476615766605117240155641_<40>

(8·10¹¹¹-17)/9 =: (8)₁₁₀7_<111>; = 4186346568103371749489_<22> · 6225820066042708231114009_<25> · 34104817819838432321293959215090765363730014275115403706542337087_<65>

(8·10¹¹²-17)/9 =: (8)₁₁₁7_<112>; = 211 · 8948111 · 4707969703590445214303773397540791283824302626813302712950257560219748320556407604795255673753648730147_<103>

(8·10¹¹³-17)/9 =: (8)₁₁₂7_<113>; = 3 · 59 · 2351619779_<10> · 46736458727099927_<17> · 1256300898757835591251743030889_<31> · 3637120034058355700695074839484064889500548879387200963_<55>

(8·10¹¹⁴-17)/9 =: (8)₁₁₃7_<114>; = 29 · 1784911 · 33538517824451_<14> · 999020919893651_<15> · 288133649085748785474465305539_<30> · 1778772824383337146574035101150428727593638732807_<49>

(8·10¹¹⁵-17)/9 =: (8)₁₁₄7_<115>; = 7 · 8282791421_<10> · 2776286665777_<13> · 21138475882357_<14> · 22484750589340489_<17> · 116184089790850595823040984414312554698942238604416354896999801_<63>

(8·10¹¹⁶-17)/9 =: (8)₁₁₅7_<116>; = 3³ · 10186423231_<11> · 311640716631149_<15> · 45756009913758067938797_<23> · 22665205293640088411856669894362517707843271271652558104450942062067_<68>

(8·10¹¹⁷-17)/9 =: (8)₁₁₆7_<117>; = 17389529 · 45881054749_<11> · 1114105363824491003837101467181337929424026789644706809656386361221467416282126153030318412390747547_<100>

(8·10¹¹⁸-17)/9 =: (8)₁₁₇7_<118>; = definitely prime number

(8·10¹¹⁹-17)/9 =: (8)₁₁₈7_<119>; = 3 · 19 · 97579 · 299999069421527844113664020937884337059777_<42> · 53271674860476756080281066601628154932550579894328901559487020106350477_<71> (Robert Backstrom / NFSX v1.8)

(8·10¹²⁰-17)/9 =: (8)₁₁₉7_<120>; = 353 · 2287 · 17647951 · 1553782571566811545980850336630792267720690901_<46> · 40153376641860988289737594014810066271215245562968042231500667_<62> (Robert Backstrom / NFSX v1.8)

(8·10¹²¹-17)/9 =: (8)₁₂₀7_<121>; = 7 · 227 · 7593973 · 2313849913_<10> · 3925815104035637109959_<22> · 357178896468711329437415923_<27> · 227040698240680572033877366570336686025274744730829531_<54>

(8·10¹²²-17)/9 =: (8)₁₂₁7_<122>; = 3 · 107 · 14790371 · 103748341423_<12> · 4651129696094685712162426266825197639720411_<43> · 38799288780164713894822174684285778290039632608642265839369_<59> (Robert Backstrom / NFSX v1.8)

(8·10¹²³-17)/9 =: (8)₁₂₂7_<123>; = 3607 · 33234363699498984164234544173233706039_<38> · 7415048004853726652832700850497003223977356607728976057513098042530682294059639719_<82> (Robert Backstrom / NFSX v1.8)

(8·10¹²⁴-17)/9 =: (8)₁₂₃7_<124>; = definitely prime number

(8·10¹²⁵-17)/9 =: (8)₁₂₄7_<125>; = 3² · 23 · 6353 · 33049 · 462665747 · 5307784351_<10> · 120160806086127739_<18> · 3952226479864534600972616953_<28> · 1753697485062732452764475950234852749477779920448647_<52>

(8·10¹²⁶-17)/9 =: (8)₁₂₅7_<126>; = 25693 · 411856717537_<12> · 203694113605201_<15> · 3013823191594477_<16> · 136832813690977160474631123492931602422019227705809189154118151747271392530907391_<81>

(8·10¹²⁷-17)/9 =: (8)₁₂₆7_<127>; = 7 · 113 · 19141 · 139999 · 4158748344209171_<16> · 1008367398962901995684184444928506334691029144961218909641477636727648095862509086398745663426543713_<100>

(8·10¹²⁸-17)/9 =: (8)₁₂₇7_<128>; = 3 · 41513 · 14852909557_<11> · 10927808425024913074695044852579_<32> · 4397415410405951585845608762633328736849808860842759755198142345026684042508324811_<82> (Robert Backstrom / GMP-ECM 5.0c)

(8·10¹²⁹-17)/9 =: (8)₁₂₈7_<129>; = 191 · 65518245791447_<14> · 4945020595582957_<16> · 104170612121490749_<18> · 35204618388465372355242119_<26> · 3916867563136452056090672920911993388549717899912780593_<55>

(8·10¹³⁰-17)/9 =: (8)₁₂₉7_<130>; = 269 · 122719 · 3172553 · 1056904813_<10> · 208528031709373_<15> · 466176243052559306209_<21> · 826083688195743121487068296590333099727044254678371160893751643230038829_<72>

(8·10¹³¹-17)/9 =: (8)₁₃₀7_<131>; = 3 · 2729189 · 19980973 · 82538700432686903957537_<23> · 6582916570598632724092473676632907118169121554446740038098394724708169052101429251952495258461_<94>

(8·10¹³²-17)/9 =: (8)₁₃₁7_<132>; = 63567787523788157_<17> · 14384908094288262665689_<23> · 972082869736795262272907554521870383480002019170864871811354645711053239817407099186804852219_<93>

(8·10¹³³-17)/9 =: (8)₁₃₂7_<133>; = 7 · 309006715219_<12> · 13476291399345038508660026880850215830179_<41> · 304937704619086404388475074486102956295040096140416628136563785630686599258787641_<81> (Robert Backstrom / GMP-ECM 5.0c)

(8·10¹³⁴-17)/9 =: (8)₁₃₃7_<134>; = 3² · 383 · 709 · 72534183378848867710699827397259500930478306505663631_<53> · 501437988948300678536370652126860284617117895152085194124521495666464224099_<75> (Robert Backstrom / NFSX v1.8)

(8·10¹³⁵-17)/9 =: (8)₁₃₄7_<135>; = 163 · 3299 · 117511848482765622867663881_<27> · 14066819012716302813860416760755145837564234150943881686080763759892395696378018814844876640188408206471_<104>

(8·10¹³⁶-17)/9 =: (8)₁₃₅7_<136>; = 47 · 3539 · 11071 · 298817 · 3410711 · 110323945547_<12> · 1916758881298501_<16> · 271667204945646081053311900993567523872793_<42> · 82443704698212400959489661544774142481852520917_<47> (Robert Backstrom / PPSIQS Ver 1.1)

(8·10¹³⁷-17)/9 =: (8)₁₃₆7_<137>; = 3 · 19 · 1871 · 833487007500341208743695452182329450325737141118727098642145478906006628305427146463462534238083479974953715424614746677251951661921_<132>

(8·10¹³⁸-17)/9 =: (8)₁₃₇7_<138>; = 223 · 5357895340167768341368325953524194627712611_<43> · 743957949162430608664666405911973165775093903728585093276497428207302668291491363418226965379_<93> (Robert Backstrom / NFSX v1.8)

(8·10¹³⁹-17)/9 =: (8)₁₃₈7_<139>; = 7 · 1170563 · 9195458197_<10> · 11506362253_<11> · 541853661698287032693368052012284236209641_<42> · 18921746304900975852505751265110395654913726325261378404329220798970547_<71> (Greg Childers / GGNFS)

(8·10¹⁴⁰-17)/9 =: (8)₁₃₉7_<140>; = 3 · 29567 · 407783 · 20205139 · 292057097 · 416447479944222469658185119918426816941671037260615554397165973053579750062690555558118268462444610782204332352783_<114>

(8·10¹⁴¹-17)/9 =: (8)₁₄₀7_<141>; = 49832154030989267740867384231123_<32> · 5551433702907422298841863964693267244613910158966569_<52> · 3213162276640339413566047915418064969550383692549981333701_<58> (Robert Backstrom / GMP-ECM 5.0c)

(8·10¹⁴²-17)/9 =: (8)₁₄₁7_<142>; = 29 · 211 · 40834205365966221499_<20> · 6125788639952129515776257_<25> · 5807388865849268151025154781131967006096279448048163396051762737516603497233550612889126225411_<94>

(8·10¹⁴³-17)/9 =: (8)₁₄₂7_<143>; = 3⁴ · 487 · 1083785539_<10> · 191487754485401761868598938072597_<33> · 94867828833140499200211307524647727692672202209_<47> · 114453789864314245754468837339937965415736463702143_<51> (Robert Backstrom / GMP-ECM 5.0c, PPSIQS Ver 1.1)

(8·10¹⁴⁴-17)/9 =: (8)₁₄₃7_<144>; = 599 · 241135754907107_<15> · 75874025239004842373359386572738631090619_<41> · 81108415893382466766494696285229496838195542104199630796025605211394157625582860602961_<86> (Greg Childers / GGNFS)

(8·10¹⁴⁵-17)/9 =: (8)₁₄₄7_<145>; = 7 · 97 · 10733 · 67829 · 747053 · 24070756826528357162053132769401872004034156421198426203378589224319125131506744236917186738478411140744545705232820754487821893_<128>

(8·10¹⁴⁶-17)/9 =: (8)₁₄₅7_<146>; = 3 · 36007 · 5240798053_<10> · 173500184747_<12> · 904986118122698674648623275427773451996662447893974593706303268956439269439153557081510813205013881834046305273434773917_<120>

(8·10¹⁴⁷-17)/9 =: (8)₁₄₆7_<147>; = 23 · 1322323 · 29226855310819733246418511010017610605133965291742962915785947348748110214369083107626203177842553987874530323065146284192055058602201313403_<140>

(8·10¹⁴⁸-17)/9 =: (8)₁₄₇7_<148>; = 61 · 2963 · 4327 · 2220971 · 49257293 · 252105043583_<12> · 107068210544832033178144510647295264556809_<42> · 3848961691473928008685333750034076914162492347136794688130393671496560287_<73> (Greg Childers / GGNFS)

(8·10¹⁴⁹-17)/9 =: (8)₁₄₈7_<149>; = 3 · 29629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629_<149>

(8·10¹⁵⁰-17)/9 =: (8)₁₄₉7_<150>; = 317 · 347 · 2437 · 3315913641102817385216013206673904402558726916500855752133236981338502670272303288290381066689851203253893455542358509406409938858917029394149_<142>

(8·10¹⁵¹-17)/9 =: (8)₁₅₀7_<151>; = 7² · 179 · 29559375733_<11> · 14333551570203662826658609_<26> · 2391934568470523122752707063623829757375300321986740379451912071783916385792485206714701929876611322856320201401_<112>

(8·10¹⁵²-17)/9 =: (8)₁₅₁7_<152>; = 3² · 197 · 353 · 18521 · 32939 · 52718713172141141_<17> · 4415952504496768497933616784978737836635314847931046066450675935784632620820360313958113183639418380593478290303506585437_<121>

(8·10¹⁵³-17)/9 =: (8)₁₅₂7_<153>; = 89 · 22286723 · 94976111 · 217268134271750274716736715143719_<33> · 21717050344389871464856176217536012976372677149540834313494789291293540788172416316018723197631883531069_<104> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 25.48 hours on Core 2 Duo E6300@2.33GHz / Mar 6, 2007)

(8·10¹⁵⁴-17)/9 =: (8)₁₅₃7_<154>; = 6317 · 22447933 · 3615233931072146953751_<22> · 17338991701910644778293902716703661459563505893900311954506143423777524014589813818031501388449190421943884350975478986217_<122>

(8·10¹⁵⁵-17)/9 =: (8)₁₅₄7_<155>; = 3 · 19 · 26681 · 40511360007479_<14> · 327862013506794868394689987_<27> · 4400505764179520890843638580354788978863362077931921315791613483207136385561069879219855280322406211159926107_<109>

(8·10¹⁵⁶-17)/9 =: (8)₁₅₅7_<156>; = 191413 · 294293 · 2247379721_<10> · 5289913621585527848874348853313_<31> · 1327306059679471772390175491604367168135356343238374722780556040926974678339394316436973392646103133527191_<106> (Robert Backstrom / GMP-ECM 5.0 B1=297500, sigma=3029051197 for P31 / Apr 19, 2007)

(8·10¹⁵⁷-17)/9 =: (8)₁₅₆7_<157>; = 7 · 8739994595235952825155053837_<28> · 1097338309267008237239239772614316948193823367920986887082646889_<64> · 132402971590214069443001363228800248580081550757875671603997677837_<66> (Alexander Mkrtychyan / GMP-ECM 6.1.1 B1=50000 for P28 / Jan 5, 2007) (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 33.76 hours on Cygwin on AMD 64 3200+ / Jun 2, 2007)

(8·10¹⁵⁸-17)/9 =: (8)₁₅₇7_<158>; = 3 · 1220340659_<10> · 32286752089_<11> · 72827732377_<11> · 8301373285666551053_<19> · 139473270822343305961_<21> · 1169902647640413773391556110703_<31> · 7623130284963374144087381380873323320095760613859702563373_<58> (Makoto Kamada / msieve 0.87 / 1.6 hours)

(8·10¹⁵⁹-17)/9 =: (8)₁₅₈7_<159>; = 229 · 800509 · 4884721 · 262148354051_<12> · 31689588497279916590736503849012575753313_<41> · 119492948637304780639682337876688171145045603197808488844094715899024113564434226339292816029_<93> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 31.11 hours on Core 2 Quad Q6600 / Oct 9, 2007)

(8·10¹⁶⁰-17)/9 =: (8)₁₅₉7_<160>; = 6934331 · 968995160047131185467992972361627_<33> · 1322882591846643298048151628358822882762642650753662322011497085867674561864363575653354158395684834292581003964206621551_<121> (Robert Backstrom / GMP-ECM 5.0 B1=367500, sigma=1441197155 for P33 / Jun 10, 2007)

(8·10¹⁶¹-17)/9 =: (8)₁₆₀7_<161>; = 3² · 349 · 5803823 · 571531745144533_<15> · 8531492711312365759308584181502467223775305223806087408367712308196249126198716657782947923711006838941892659238584295694714679536976273_<136>

(8·10¹⁶²-17)/9 =: (8)₁₆₁7_<162>; = 1741 · 2473 · 22031 · 107123 · 2263067 · 64205203 · 602060337452830771245854955088614087692239361885155200023348704527911221589599323576361919224017724951383645858483627942698161697143_<132>

(8·10¹⁶³-17)/9 =: (8)₁₆₂7_<163>; = 7 · 233 · 410359 · 13280962599839642569745731692895992569657355187395684648132303434061769877576589771136643718546174374472608928617075654914301525072474955811170358033108703_<155>

(8·10¹⁶⁴-17)/9 =: (8)₁₆₃7_<164>; = 3 · 151 · 48781123 · 122357220642452584209664973630349681033155453532931520441153082441941_<69> · 32875160220972597758764681161227086029639996457194993224995199129738972707239023844853_<86> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 65.65 hours on Cygwin on AMD 64 3200+ / Aug 9, 2007)

(8·10¹⁶⁵-17)/9 =: (8)₁₆₄7_<165>; = 4231 · 152048937767345855700762939829_<30> · 1381723238293431159111092708913246840024395053044096527233740077521308211412091827024523998446276608223321441064778527781942402925613_<133> (Makoto Kamada / GMP-ECM 5.0.3 B1=69460, sigma=2265364011)

(8·10¹⁶⁶-17)/9 =: (8)₁₆₅7_<166>; = 4083907 · 43094378617_<11> · 38584081030692973979026508694832853174717_<41> · 418114217260780904751406897239535819468897448269121_<51> · 3130746579328069205359019081831876161205414051790095798089_<58> (Robert Backstrom / GMP-ECM 6.0.1 B1=2566000, sigma=1489561470 for P41, GGNFS-0.77.1-20060513-athlon-xp gnfs, Msieve 1.32 for P51 x P58 / Dec 26, 2007)

(8·10¹⁶⁷-17)/9 =: (8)₁₆₆7_<167>; = 3 · 29629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629_<167>

(8·10¹⁶⁸-17)/9 =: (8)₁₆₇7_<168>; = 3947 · 71699 · 373247252387_<12> · 1024799923094265919_<19> · 13086962130596681403157479104708270412239_<41> · 627469619736798457013692142254079987778839619064291230581747063260251518592308215913277437_<90> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4267839254 for P41 / Jun 29, 2008)

(8·10¹⁶⁹-17)/9 =: (8)₁₆₈7_<169>; = 7 · 23 · 347651 · 570290792567_<12> · 7647057099881162934899256947975591_<34> · 288971669211010444364343532804847944865909_<42> · 126017877051932162637963203064793127409653634778576315963511553718382954729_<75> (Robert Backstrom / GMP-ECM 6.0 B1=2550000, sigma=1104068931 for P34, GGNFS-0.77.1-20051202-athlon gnfs, Msieve 1.36 for P42 x P75 / 33.79 hours on Cygwin on AMD 64 X2 6000+ / May 26, 2008)

(8·10¹⁷⁰-17)/9 =: (8)₁₆₉7_<170>; = 3³ · 29 · 12289 · 20047 · 839916478644411211_<18> · 31528405303865506514741_<23> · 20073120811434752849076139_<26> · 26154423033817308400292740294424628345830003_<44> · 33145275390848276684510115292036240442121498596449_<50> (Makoto Kamada / msieve 0.87 / 5.9 hours)

(8·10¹⁷¹-17)/9 =: (8)₁₇₀7_<171>; = 59 · 877 · 6311 · 307651 · 11269789 · 2274880339_<10> · 3271540499_<10> · 73114430273_<11> · 148546250833116191411_<21> · 271360697289309719269_<21> · 12392018672084274514462933_<26> · 2888410513944867124190629877292837397091039892299976931_<55>

(8·10¹⁷²-17)/9 =: (8)₁₇₁7_<172>; = 211 · 283 · 82184381 · 425942149140173064937_<21> · 3169195624165817116571_<22> · 200165093909749676575045613_<27> · 1658185856008255562482935319_<28> · 14483363978555201427913057439_<29> · 279124936189450501381569712592835469_<36>

(8·10¹⁷³-17)/9 =: (8)₁₇₂7_<173>; = 3 · 19 · 238591 · 266183 · 6010441682603_<13> · 812262305277809501754934760781703_<33> · 2611259137894710237293454858163599958892111103623_<49> · 1926129971804758511475517763482213919232130440459976838959776938821_<67> (Dmitry Domanov / GMP-ECM 6.2.3 B1=3000000, sigma=3181479570 for P33 / May 7, 2009) (Dmitry Domanov / Msieve 1.41 gnfs for P49 x P67 / 22.88 hours / May 17, 2009)

(8·10¹⁷⁴-17)/9 =: (8)₁₇₃7_<174>; = 109 · 397 · 109256591171598537406667_<24> · 2975984750926615140313079_<25> · 24160872143963687816225994560873_<32> · 2614806271189742602385890354953181185480847519730424601676364259129555202024837855793764371_<91> (Makoto Kamada / GMP-ECM 5.0.3 B1=97380, sigma=1740432406)

(8·10¹⁷⁵-17)/9 =: (8)₁₇₄7_<175>; = 7 · 107 · 7159 · 1657728093180233026423626322061466112546185599776074089173214122790696556415937157517261249182247912034482236293432709159335208762568350460461952042382139521483109646757_<169>

(8·10¹⁷⁶-17)/9 =: (8)₁₇₅7_<176>; = 3 · 263 · 62589632906718238985476358569_<29> · 1799981617941769004418310793330172383655105701996801534957053331851522121899102371490932002067738591466062173684026552295640677256094002499030307_<145> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2327081955 for P29 / Mar 10, 2005)

(8·10¹⁷⁷-17)/9 =: (8)₁₇₆7_<177>; = 4692979321_<10> · 212833564007_<12> · 889935885376349621986499512178389742700234593005604610101490821774104849374665012606919117594934615113224888451926437830686598935839347965052377193806640121_<156>

(8·10¹⁷⁸-17)/9 =: (8)₁₇₇7_<178>; = 73721 · 316097 · 26893051 · 28804753 · 492415431845961610412851063643309175499363517040470380637097850706594699289619629728445116792469494611270357052396911244408553868024037691466551386829517_<153>

(8·10¹⁷⁹-17)/9 =: (8)₁₇₈7_<179>; = 3² · 193 · 15809 · 552241 · 1674912378443233_<16> · 3436763031126603253_<19> · 681730178728744701011924498497_<30> · 1493689791486146713478996194570842049379770863848290072870963693810359525801102136426038074592658672243_<103> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=1234632860 for P30 / Aug 5, 2008)

(8·10¹⁸⁰-17)/9 =: (8)₁₇₉7_<180>; = 3658268353_<10> · 61758845631466767465271797833_<29> · [3934347785535229374215233762925850576083625703317757636353808208491422978557394268988530803249245868900196615196404588103179803195501264851263_<142>] (Dmitry Domanov / GMP-ECM 6.2.3 B1=3000000, sigma=1165875092 for P29 / May 8, 2009) SUBMIT/RESERVE

(8·10¹⁸¹-17)/9 =: (8)₁₈₀7_<181>; = 7 · 1709 · 4253 · 3983165093026307702402046217_<28> · [43861520701364732252769870687031534361057141753068471924374557286056504583720673640378144134184647090935167172927062385446263634692674481022068849_<146>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2914738981 for P28 / Sep 18, 2008) SUBMIT/RESERVE

(8·10¹⁸²-17)/9 =: (8)₁₈₁7_<182>; = 3 · 47 · 29443147 · 245690237799029_<15> · 1409781315068910934903369464751_<31> · [61816510636424402556322751316069604684810286368811027148055645738587135263914950492193568745510518427867118128501016167399497339_<128>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=109125358 for P31 / Nov 14, 2008) SUBMIT/RESERVE

(8·10¹⁸³-17)/9 =: (8)₁₈₂7_<183>; = 1259337356542822108306204266629_<31> · [705838577939987753279711060237017228585936509399199518627682834424778845002336309634782236276759532406698056060483434655977248535150104022612858176741003_<153>] (Jo Yeong Uk / GMP-ECM 5.0.3 B1=3000000, sigma=422141557 for P31 / May 4, 2007) SUBMIT/RESERVE

(8·10¹⁸⁴-17)/9 =: (8)₁₈₃7_<184>; = 353 · 6131 · 11597 · 1688411 · 1872943 · 9208721 · 54425099 · [223457287440655123709028867467749774957491436831323463366155494074415705871594947725924102706296809170670908957958567556786267984562848619413670791_<147>] SUBMIT/RESERVE

(8·10¹⁸⁵-17)/9 =: (8)₁₈₄7_<185>; = 3 · 1061453 · 16458898798399_<14> · 8036510860981755684517_<22> · 211036289874592779453317430212308221790447584724820397486439503876011929461723191489283685699096285607025583916480325508488343082845978778689571_<144>

(8·10¹⁸⁶-17)/9 =: (8)₁₈₅7_<186>; = 122041 · 600760122234227247339021404369_<30> · 3064396278824864704453221938558760266788976239_<46> · 2068999825167536250079312154581792851089121116323_<49> · 1912208492840357290420849493550726386987869589952298531099_<58> (Robert Backstrom / GMP-ECM 6.0.1 B1=338000, sigma=583227815 for P30 / Feb 20, 2008) (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp, Msieve 1.38 snfs / 60.70 hours, 12.96 hours / Oct 9, 2008)

(8·10¹⁸⁷-17)/9 =: (8)₁₈₆7_<187>; = 7 · 1301 · 44979797 · 109268427742217_<15> · 32331916628258100672443_<23> · [6142264377647497361908004971037521981398660626130924780814782360903214742805340725428851333401010112946404886035081166657138668591874633763_<139>] SUBMIT/RESERVE

(8·10¹⁸⁸-17)/9 =: (8)₁₈₇7_<188>; = 3² · 1993 · 265381 · [18673591032721872614865764788273238082692249771900702522466465045724144615537765333218669641484187292291559293912124576745608188988958821550329802037267881253192928325930749893371_<179>] SUBMIT/RESERVE

(8·10¹⁸⁹-17)/9 =: (8)₁₈₈7_<189>; = 22817 · 24379 · 246707 · 24859528994969497_<17> · 457498475881420411_<18> · [569520063071972663553573393708398815580891301895053150372501613933093083168763005952858951122953788446830620163284436565071308569254897735261_<141>] SUBMIT/RESERVE

(8·10¹⁹⁰-17)/9 =: (8)₁₈₉7_<190>; = definitely prime number

(8·10¹⁹¹-17)/9 =: (8)₁₉₀7_<191>; = 3 · 19 · 23² · 95881 · 2063819 · 14897479229517803427266434225237041417160170743074503742481611110406802599890771590782753795458638934035800579499682366193327654634548063107960043066530106801956494924700214261_<176>

(8·10¹⁹²-17)/9 =: (8)₁₉₁7_<192>; = 17327 · 38327 · 1338502773595504559864766687879576517016951863736457018270566707774111329229674900760447111063879363739246541707163088995904494555133930695442752307397623693886044636583572887977213903_<184>

(8·10¹⁹³-17)/9 =: (8)₁₉₂7_<193>; = 7² · 181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263_<192>

(8·10¹⁹⁴-17)/9 =: (8)₁₉₃7_<194>; = 3 · 457 · 7442198479_<10> · 1853420236219_<13> · 47262295153011259_<17> · 15350897443886512393_<20> · 64765061725005467929_<20> · 6480369962419216676886015131553803_<34> · 15436388905337558778371403302481752050799648156400720007183437167938419834568313_<80> (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P34 x P80 / 59.27 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 12, 2006)

(8·10¹⁹⁵-17)/9 =: (8)₁₉₄7_<195>; = 461 · 1710716099_<10> · 566821422474137069_<18> · 1186977947936869382050271_<25> · 1675250296839513627607034458406641873181426261099763568319976314956201290486975464179204434551726946757650899632992747318509046043402748758667_<142>

(8·10¹⁹⁶-17)/9 =: (8)₁₉₅7_<196>; = 181 · 4469584049981_<13> · [10987573522470345832914172724096124090099275166869695646384612392266122203066345593029749221280548387708493312994980885298479798456366884801831814153809924577434593185825871763841367_<182>] SUBMIT/RESERVE

(8·10¹⁹⁷-17)/9 =: (8)₁₉₆7_<197>; = 3³ · 89 · 51151 · 968567471 · 413233499506544201_<18> · 11318255628295264288261_<23> · 159637412279918892034950694480086941933387938093924708786946100717681905070708239907612684780636755900437236345703203761362797996514783495409_<141>

(8·10¹⁹⁸-17)/9 =: (8)₁₉₇7_<198>; = 29 · 2551 · 26987713 · 24810652678294736989_<20> · 122763886401873301220354203087_<30> · [146171976769747747349388334776423064471607044898176691920488992333574187962280014690489994846698316344610133907207472343085837277045010167_<138>] (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2642279068 for P30 / Jul 12, 2008) SUBMIT/RESERVE

(8·10¹⁹⁹-17)/9 =: (8)₁₉₈7_<199>; = 7 · 165915290595704680698485074656900719922152047067184299154427_<60> · 209149051828140486987606736849824369901235273907179420942848736473_<66> · 36593767584410672419943796220646382293763887819649513105939916736712122971_<74> (Wataru Sakai / Msieve / 755.47 hours / Dec 15, 2008)

(8·10²⁰⁰-17)/9 =: (8)₁₉₉7_<200>; = 3 · 131 · 69463 · 4069937 · [800043690657764064527611167061282693490463493172827611311801436902487718446235258712742070697911069669342022421212382551885329066971043495175884495668800758266370990543067900088002754089_<186>] SUBMIT/RESERVE

4. References

A056695 (On-Line Encyclopedia of Integer Sequences)
A093171 (On-Line Encyclopedia of Integer Sequences)