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Factorizations of 844...447

About 844...447
- First ten terms
- General term
Prime numbers of the form 844...447
Factorizations of 844...447
References

1. About 844...447

First ten terms

87, 847, 8447, 84447, 844447, 8444447, 84444447, 844444447, 8444444447, 84444444447

General term

(76·10ⁿ+23)/9

2. Prime numbers of the form 844...447

Last update

Sep 19, 2010

Searched up to

n≤30000

Difficulty of search

9.23%

Results

(76·10³+23)/9 = 8447 is prime.
(76·10⁵+23)/9 = 844447 is prime.
(76·10¹⁰¹+23)/9 = 8(4)₁₀₀7_<102> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(76·10¹⁰⁵+23)/9 = 8(4)₁₀₄7_<106> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(76·10⁴⁰⁹⁷+23)/9 = 8(4)₄₀₉₆7_<4098> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
(76·10⁵⁷³³+23)/9 = 8(4)₅₇₃₂7_<5734> is PRP. (Makoto Kamada / PFGW / Dec 21, 2004)
(76·10⁹⁷⁵⁵+23)/9 = 8(4)₉₇₅₄7_<9756> is PRP. (Makoto Kamada / PFGW / Jan 8, 2005)

3. Factorizations of 844...447

Last update

Jan 11, 2012

Completed up to

n≤100 / Jan 6, 2005
n≤150 / Jan 16, 2010

Range

n≤200

Terms which have not been factored yet

n=173, 178, 179, 181, 184, 185, 187, 188, 192, 194, 195, 200 (12/200)

Results

(76·10¹+23)/9 =: 87; = 3 · 29

(76·10²+23)/9 =: 847; = 7 · 11²

(76·10³+23)/9 =: 8447; = definitely prime number

(76·10⁴+23)/9 =: 84447; = 3² · 11 · 853

(76·10⁵+23)/9 =: 844447; = definitely prime number

(76·10⁶+23)/9 =: 8444447; = 11 · 767677

(76·10⁷+23)/9 =: 84444447; = 3 · 103 · 273283

(76·10⁸+23)/9 =: 844444447; = 7 · 11 · 10966811

(76·10⁹+23)/9 =: 8444444447_<10>; = 43 · 1039 · 189011

(76·10¹⁰+23)/9 =: 84444444447_<11>; = 3 · 11 · 31 · 82545889

(76·10¹¹+23)/9 =: 844444444447_<12>; = 1051 · 803467597

(76·10¹²+23)/9 =: 8444444444447_<13>; = 11 · 340031 · 2257667

(76·10¹³+23)/9 =: 84444444444447_<14>; = 3⁵ · 61 · 71 · 80237359

(76·10¹⁴+23)/9 =: 844444444444447_<15>; = 7² · 11 · 19087 · 82081379

(76·10¹⁵+23)/9 =: 8444444444444447_<16>; = 17 · 496732026143791_<15>

(76·10¹⁶+23)/9 =: 84444444444444447_<17>; = 3 · 11 · 337 · 349 · 25463 · 854461

(76·10¹⁷+23)/9 =: 844444444444444447_<18>; = 7417 · 113852560933591_<15>

(76·10¹⁸+23)/9 =: 8444444444444444447_<19>; = 11 · 22279 · 25343 · 1359642341_<10>

(76·10¹⁹+23)/9 =: 84444444444444444447_<20>; = 3 · 47 · 5292647 · 113156378861_<12>

(76·10²⁰+23)/9 =: 844444444444444444447_<21>; = 7 · 11 · 1303 · 44267 · 190132277911_<12>

(76·10²¹+23)/9 =: 8444444444444444444447_<22>; = 139 · 631 · 96277969700309483_<17>

(76·10²²+23)/9 =: 84444444444444444444447_<23>; = 3² · 11 · 941 · 480988147 · 1884568339_<10>

(76·10²³+23)/9 =: 844444444444444444444447_<24>; = 521 · 1733 · 935265246761736379_<18>

(76·10²⁴+23)/9 =: 8444444444444444444444447_<25>; = 11² · 97 · 241 · 67396853 · 44295266347_<11>

(76·10²⁵+23)/9 =: 84444444444444444444444447_<26>; = 3 · 31 · 1083317 · 838170894551198687_<18>

(76·10²⁶+23)/9 =: 844444444444444444444444447_<27>; = 7 · 11 · 10966810966810966810966811_<26>

(76·10²⁷+23)/9 =: 8444444444444444444444444447_<28>; = 89 · 22469 · 2315161 · 1823963461209347_<16>

(76·10²⁸+23)/9 =: 84444444444444444444444444447_<29>; = 3 · 11 · 2558922558922558922558922559_<28>

(76·10²⁹+23)/9 =: 844444444444444444444444444447_<30>; = 29 · 197 · 641 · 135208802893_<12> · 1705469125163_<13>

(76·10³⁰+23)/9 =: 8444444444444444444444444444447_<31>; = 11 · 43 · 7817 · 2283861850518897920059967_<25>

(76·10³¹+23)/9 =: 84444444444444444444444444444447_<32>; = 3² · 17 · 551924473493100944081336238199_<30>

(76·10³²+23)/9 =: 844444444444444444444444444444447_<33>; = 7 · 11 · 331 · 1319 · 25119302059399038480050599_<26>

(76·10³³+23)/9 =: 8444444444444444444444444444444447_<34>; = 1069 · 1289 · 31438015189909_<14> · 194932988435863_<15>

(76·10³⁴+23)/9 =: 84444444444444444444444444444444447_<35>; = 3 · 11 · 1511 · 12945937 · 130815495146002713506137_<24>

(76·10³⁵+23)/9 =: 844444444444444444444444444444444447_<36>; = 2953 · 285961545697407532829137976445799_<33>

(76·10³⁶+23)/9 =: 8444444444444444444444444444444444447_<37>; = 11 · 233 · 1109401 · 9276282473_<10> · 320154756696747253_<18>

(76·10³⁷+23)/9 =: 84444444444444444444444444444444444447_<38>; = 3 · 83 · 221239 · 1532886674763172387150642798177_<31>

(76·10³⁸+23)/9 =: 844444444444444444444444444444444444447_<39>; = 7 · 11 · 373 · 1277 · 323578349 · 71154303819176740437959_<23>

(76·10³⁹+23)/9 =: 8444444444444444444444444444444444444447_<40>; = 363502580537_<12> · 23230768903949791891500209431_<29>

(76·10⁴⁰+23)/9 =: 84444444444444444444444444444444444444447_<41>; = 3³ · 11 · 31 · 1279 · 5359650806171_<13> · 1337968533925100245669_<22>

(76·10⁴¹+23)/9 =: 844444444444444444444444444444444444444447_<42>; = 103 · 283 · 28969928451900389188117755135491593003_<38>

(76·10⁴²+23)/9 =: 8444444444444444444444444444444444444444447_<43>; = 11 · 59 · 13011470638589282657079267248758774182503_<41>

(76·10⁴³+23)/9 =: 84444444444444444444444444444444444444444447_<44>; = 3 · 28148148148148148148148148148148148148148149_<44>

(76·10⁴⁴+23)/9 =: 844444444444444444444444444444444444444444447_<45>; = 7 · 11 · 19330807 · 460766263 · 1231259799447732667496657771_<28>

(76·10⁴⁵+23)/9 =: 8444444444444444444444444444444444444444444447_<46>; = 99317 · 85025166330481634004696521687570551309891_<41>

(76·10⁴⁶+23)/9 =: 84444444444444444444444444444444444444444444447_<47>; = 3 · 11² · 4787 · 517436488169_<12> · 26372092608941_<14> · 3561224786750803_<16>

(76·10⁴⁷+23)/9 =: 844444444444444444444444444444444444444444444447_<48>; = 17 · 11719 · 639109364087_<12> · 6632181859994392166655584297647_<31>

(76·10⁴⁸+23)/9 =: 8444444444444444444444444444444444444444444444447_<49>; = 11 · 71 · 45745061225227641448181_<23> · 236361009274483685859727_<24>

(76·10⁴⁹+23)/9 =: 84444444444444444444444444444444444444444444444447_<50>; = 3² · 277² · 16253 · 20939 · 359318487584860771244316757216433281_<36>

(76·10⁵⁰+23)/9 =: 844444444444444444444444444444444444444444444444447_<51>; = 7 · 11 · 191 · 13414097184223_<14> · 4280411694982420370324214774661627_<34>

(76·10⁵¹+23)/9 =: 8(4)₅₀7_<52>; = 43 · 509 · 14044597351_<11> · 12417664542823_<14> · 2212257258538244472512497_<25>

(76·10⁵²+23)/9 =: 8(4)₅₁7_<53>; = 3 · 11 · 571 · 3517 · 8037647 · 158533021733207951178493995418173133471_<39>

(76·10⁵³+23)/9 =: 8(4)₅₂7_<54>; = 21317 · 358976665689461_<15> · 32062087851815083_<17> · 3441810685085410357_<19>

(76·10⁵⁴+23)/9 =: 8(4)₅₃7_<55>; = 11 · 241 · 379777 · 11599615371294323_<17> · 723084591015332134347339508607_<30>

(76·10⁵⁵+23)/9 =: 8(4)₅₄7_<56>; = 3 · 31 · 151 · 439 · 198817 · 1541223599_<10> · 27318374450531621_<17> · 1636336608394930577_<19>

(76·10⁵⁶+23)/9 =: 8(4)₅₅7_<57>; = 7² · 11 · 5869 · 7820937209372403095521_<22> · 34131817040646089067704075777_<29>

(76·10⁵⁷+23)/9 =: 8(4)₅₆7_<58>; = 29 · 792713045549_<12> · 5629381066931241767639_<22> · 65252391236256196953313_<23>

(76·10⁵⁸+23)/9 =: 8(4)₅₇7_<59>; = 3² · 11 · 433 · 12043 · 163363 · 1001289369419524350978150407302681429681370149_<46>

(76·10⁵⁹+23)/9 =: 8(4)₅₈7_<60>; = 1225787 · 1137849489925763_<16> · 605440198146287319156861272328018244687_<39>

(76·10⁶⁰+23)/9 =: 8(4)₅₉7_<61>; = 11 · 230478427 · 3330796628860920144893546881404078988996557008247751_<52>

(76·10⁶¹+23)/9 =: 8(4)₆₀7_<62>; = 3 · 641 · 120239641 · 816290567 · 54310561470881437_<17> · 8237872334231629328568151_<25>

(76·10⁶²+23)/9 =: 8(4)₆₁7_<63>; = 7 · 11 · 459391834889370490908098840111_<30> · 23872455132886645238560882559701_<32> (Makoto Kamada / msieve 0.81 / 24 seconds)

(76·10⁶³+23)/9 =: 8(4)₆₂7_<64>; = 17 · 14917152109_<11> · 26836050254055313819_<20> · 1240845319208466594717479541447121_<34>

(76·10⁶⁴+23)/9 =: 8(4)₆₃7_<65>; = 3 · 11 · 9467683 · 2660599457640547_<16> · 101586017856297850891350593158338927649159_<42>

(76·10⁶⁵+23)/9 =: 8(4)₆₄7_<66>; = 47 · 491 · 36592470617690533624147178768663363714713543547447434434477811_<62>

(76·10⁶⁶+23)/9 =: 8(4)₆₅7_<67>; = 11 · 929 · 81031 · 193745341081546554914557_<24> · 52635677478008280954436604529302039_<35>

(76·10⁶⁷+23)/9 =: 8(4)₆₆7_<68>; = 3³ · 139 · 617 · 552581352311155763_<18> · 65995014632055085830719771768992189924557269_<44>

(76·10⁶⁸+23)/9 =: 8(4)₆₇7_<69>; = 7 · 11² · 128393 · 1479287 · 5249209247289160950747705136822329966610140013181806111_<55>

(76·10⁶⁹+23)/9 =: 8(4)₆₈7_<70>; = 350429 · 40330397 · 1225549201_<10> · 688473194251243630961_<21> · 708142662668918777963755879_<27>

(76·10⁷⁰+23)/9 =: 8(4)₆₉7_<71>; = 3 · 11 · 31 · 644701 · 1278439 · 9006611 · 11119767038706229986687157931623007702295854985841_<50>

(76·10⁷¹+23)/9 =: 8(4)₇₀7_<72>; = 89 · 145935173 · 65016127573429312369199454727261598980121975768524276544248651_<62>

(76·10⁷²+23)/9 =: 8(4)₇₁7_<73>; = 11 · 43 · 3049 · 5335800983_<10> · 15879993940739_<14> · 385194777536056121_<18> · 179399889957502002164694443_<27>

(76·10⁷³+23)/9 =: 8(4)₇₂7_<74>; = 3 · 61 · 131 · 6271 · 561709665123945114145379509294235478877781279815812326184533508109_<66>

(76·10⁷⁴+23)/9 =: 8(4)₇₃7_<75>; = 7 · 11 · 113 · 401 · 145207186914355129721_<21> · 1666746030960843761449104823445917125264565094707_<49>

(76·10⁷⁵+23)/9 =: 8(4)₇₄7_<76>; = 103 · 521 · 13397 · 1537181521_<10> · 103161781313_<12> · 2619885792239_<13> · 28272370936621162277829502211273891_<35>

(76·10⁷⁶+23)/9 =: 8(4)₇₅7_<77>; = 3² · 11 · 997 · 1877 · 333821 · 10515225393775043569_<20> · 37875328088402388833_<20> · 3428371007536621258160161_<25>

(76·10⁷⁷+23)/9 =: 8(4)₇₆7_<78>; = 19857059 · 107126417 · 4309023143953920859_<19> · 92125689309946809782580905892836331276958111_<44>

(76·10⁷⁸+23)/9 =: 8(4)₇₇7_<79>; = 11 · 83 · 109 · 167 · 181 · 128983 · 5183221 · 15988001 · 262634874456129821498220543445938478244098599211331_<51>

(76·10⁷⁹+23)/9 =: 8(4)₇₈7_<80>; = 3 · 17 · 1060673 · 2804308613576017174486601619523_<31> · 556664578125873794983456319897412044071543_<42> (Makoto Kamada / msieve 0.83)

(76·10⁸⁰+23)/9 =: 8(4)₇₉7_<81>; = 7 · 11 · 3604241 · 3042751848949880657527288260360771327712772527367333874445912736360017771_<73>

(76·10⁸¹+23)/9 =: 8(4)₈₀7_<82>; = 23003 · 1665536374987_<13> · 220410602322409432540122968895825795422191306941844584951839483527_<66>

(76·10⁸²+23)/9 =: 8(4)₈₁7_<83>; = 3 · 11 · 467 · 152293 · 100939570952934095650143607103_<30> · 356450202776162667230545016230798777958694463_<45> (Makoto Kamada / msieve 0.83)

(76·10⁸³+23)/9 =: 8(4)₈₂7_<84>; = 71 · 19105163882257_<14> · 155643828376915124580523913_<27> · 3999724351355971623032818831297375956532177_<43>

(76·10⁸⁴+23)/9 =: 8(4)₈₃7_<85>; = 11 · 241 · 3185380778741774592396999036003185380778741774592396999036003185380778741774592397_<82>

(76·10⁸⁵+23)/9 =: 8(4)₈₄7_<86>; = 3² · 29² · 31 · 199 · 6615105583_<10> · 237632218843_<12> · 1150471074266529901701273188506964865224181547862024551883_<58>

(76·10⁸⁶+23)/9 =: 8(4)₈₅7_<87>; = 7 · 11 · 1823 · 76698092302721_<14> · 78434860244015901355761657043454077171767653934980536997836179194117_<68>

(76·10⁸⁷+23)/9 =: 8(4)₈₆7_<88>; = 1032443010529011765897991_<25> · 1609794963222931626578131_<25> · 5080827263017695533647819671959447106707_<40>

(76·10⁸⁸+23)/9 =: 8(4)₈₇7_<89>; = 3 · 11 · 2558922558922558922558922558922558922558922558922558922558922558922558922558922558922559_<88>

(76·10⁸⁹+23)/9 =: 8(4)₈₈7_<90>; = 528770298793366697987568301_<27> · 1596996742009590736390777646106265660271451923565522329853044347_<64>

(76·10⁹⁰+23)/9 =: 8(4)₈₉7_<91>; = 11² · 18899 · 280112708191_<12> · 1652770140121376339373032101_<28> · 7976302516543925835166324895627838845960146423_<46>

(76·10⁹¹+23)/9 =: 8(4)₉₀7_<92>; = 3 · 149 · 26458115791_<11> · 2477159286230028335317_<22> · 2882376534115653010197400624177588842847183490140452560083_<58>

(76·10⁹²+23)/9 =: 8(4)₉₁7_<93>; = 7 · 11 · 293 · 122380549 · 1925420374443318313051_<22> · 158845449176533071770844160033685148752522682589263040137673_<60>

(76·10⁹³+23)/9 =: 8(4)₉₂7_<94>; = 43 · 641 · 8803 · 137421799 · 253255138723672695696995156641275823923821113279294673023543325410900145855977_<78>

(76·10⁹⁴+23)/9 =: 8(4)₉₃7_<95>; = 3⁴ · 11 · 329941 · 231532243 · 1435502753_<10> · 428251438249991_<15> · 2018100330260946218626378074778672681127935992895849733_<55>

(76·10⁹⁵+23)/9 =: 8(4)₉₄7_<96>; = 17 · 170197 · 4147467047981_<13> · 70369962014602154543220911876741146538361817673898704639831306798465003048863_<77>

(76·10⁹⁶+23)/9 =: 8(4)₉₅7_<97>; = 11 · 10061 · 10639 · 5596130623591_<13> · 1281588485020088653882265338769671161954039913806212914150377226951896025193_<76>

(76·10⁹⁷+23)/9 =: 8(4)₉₆7_<98>; = 3 · 983 · 2111 · 21227 · 81907271191_<11> · 7801839285379267570472066277563664539878634328815361812009843270739125743889_<76>

(76·10⁹⁸+23)/9 =: 8(4)₉₇7_<99>; = 7² · 11 · 479 · 4638079915707684221_<19> · 757273194987726289933366473034379_<33> · 931227928289045568185643150789045198170893_<42> (Makoto Kamada / msieve 0.83)

(76·10⁹⁹+23)/9 =: 8(4)₉₈7_<100>; = 24799 · 34739 · 40778104729_<11> · 140706354653808847601772089_<27> · 1708357871016008311700203976152009326079848249251533067_<55>

(76·10¹⁰⁰+23)/9 =: 8(4)₉₉7_<101>; = 3 · 11 · 31 · 59 · 2657 · 15791 · 133711 · 188983 · 7384303142390810939221_<22> · 178707531806475395768593877623451386639239931410996770321_<57>

(76·10¹⁰¹+23)/9 =: 8(4)₁₀₀7_<102>; = definitely prime number

(76·10¹⁰²+23)/9 =: 8(4)₁₀₁7_<103>; = 11 · 2029 · 489506854079_<12> · 2844660335598597803815246803287005097_<37> · 271710959582937831976646734426378079536887182179351_<51> (Sinkiti Sibata / Msieve 1.42 for P37 x P51 / 0.64 hours / Jan 14, 2010)

(76·10¹⁰³+23)/9 =: 8(4)₁₀₂7_<104>; = 3² · 1046579 · 1319057 · 3260853907_<10> · 2084306832888182312913603891366530619159269671189826079150685122338563776511797823_<82>

(76·10¹⁰⁴+23)/9 =: 8(4)₁₀₃7_<105>; = 7 · 11 · 1583 · 6007 · 231271 · 26927901304666861780621_<23> · 185190253310909562153698619155047458675291435943202054861095238434441_<69>

(76·10¹⁰⁵+23)/9 =: 8(4)₁₀₄7_<106>; = definitely prime number

(76·10¹⁰⁶+23)/9 =: 8(4)₁₀₅7_<107>; = 3 · 11 · 91149823 · 629761624386553_<15> · 44578466091940292691913920932227814256531034880592611785846277350248544160428458761_<83>

(76·10¹⁰⁷+23)/9 =: 8(4)₁₀₆7_<108>; = 9628495873_<10> · 106283000503_<12> · 126228604770725641_<18> · 20993019879539195385566006255902771_<35> · 311398222136673450308840446012184683_<36> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3246023946 for P36 / Jan 11, 2010)

(76·10¹⁰⁸+23)/9 =: 8(4)₁₀₇7_<109>; = 11 · 767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767677_<108>

(76·10¹⁰⁹+23)/9 =: 8(4)₁₀₈7_<110>; = 3 · 103 · 97127 · 121456297 · 13290251392640371_<17> · 108462414876830939_<18> · 16070897347688545331619496709114049939976524052605081049981853_<62>

(76·10¹¹⁰+23)/9 =: 8(4)₁₀₉7_<111>; = 7 · 11 · 7934812329212957_<16> · 5923695406204414818563_<22> · 46475760011776998329497910393573_<32> · 5020239986343988991947026875218319482777_<40> (Makoto Kamada / Msieve 1.44 for P32 x P40 / Jan 13, 2010)

(76·10¹¹¹+23)/9 =: 8(4)₁₁₀7_<112>; = 17 · 47 · 193 · 823 · 1184507 · 22316451346960279706819225593281908929_<38> · 2517122729616534858504981308134947115135771693610871380503909_<61> (Serge Batalov / Msieve 1.44 snfs / 0.51 hours / Jan 15, 2010)

(76·10¹¹²+23)/9 =: 8(4)₁₁₁7_<113>; = 3² · 11² · 69767 · 9226957 · 22553148210107646065083_<23> · 40212448211667078739832947513674640501_<38> · 132821068379985979883895386183109907099_<39> (Makoto Kamada / Msieve 1.44 for P38 x P39 / Jan 13, 2010)

(76·10¹¹³+23)/9 =: 8(4)₁₁₂7_<114>; = 29 · 139 · 152021671 · 882854619653_<12> · 380512874847534589_<18> · 4101986558940440391493517366404809306116788652486158462716081519019721191_<73>

(76·10¹¹⁴+23)/9 =: 8(4)₁₁₃7_<115>; = 11 · 43² · 241 · 1847 · 29060858077805849001902975266592637887_<38> · 32095867242221515156580569876052714325453456702320541088111219169677_<68> (Max Dettweiler / GGNFS + msieve v1.43 w/factMsieve.pl snfs / 0.86 hours on Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin / Jan 16, 2010)

(76·10¹¹⁵+23)/9 =: 8(4)₁₁₄7_<116>; = 3 · 31 · 89 · 120749 · 84491804382079318218447476152910006631731709124164685102891112691167886706476365522181496272005302760785039_<107>

(76·10¹¹⁶+23)/9 =: 8(4)₁₁₅7_<117>; = 7 · 11 · 1330073 · 72620883565828625024765708056974898721804064209_<47> · 113538552089248039874489189162235938252893500232180751671610723_<63> (Max Dettweiler / GGNFS + msieve v1.43 w/factMsieve.pl snfs / 0.78 hours on Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin / Jan 16, 2010)

(76·10¹¹⁷+23)/9 =: 8(4)₁₁₆7_<118>; = 2063 · 35419 · 4627498957611482129242081250798903_<34> · 24974064548508638977637826325423793743556698973336535406314299846721300080117_<77> (Sinkiti Sibata / Msieve 1.40 snfs / 0.93 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 16, 2010)

(76·10¹¹⁸+23)/9 =: 8(4)₁₁₇7_<119>; = 3 · 11 · 71 · 277 · 7505007360107_<13> · 10900223728226297_<17> · 1183605849129377521354737911_<28> · 1343771382789021992405781490592488543105890751439325300433_<58>

(76·10¹¹⁹+23)/9 =: 8(4)₁₁₈7_<120>; = 83 · 797 · 848761 · 3296406155969_<13> · 90286933714969_<14> · 50533994971017860846856686459596916327350956252665159346432806556019315331254241657_<83>

(76·10¹²⁰+23)/9 =: 8(4)₁₁₉7_<121>; = 11 · 97 · 263 · 18088501 · 7108769785880954087970885157546859_<34> · 234020491246915991979393842170109583958182928620572964130818686970673148173_<75> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1573464956 for P34 / Jan 12, 2010)

(76·10¹²¹+23)/9 =: 8(4)₁₂₀7_<122>; = 3³ · 1913 · 33761285081093389090731214102614080233443133_<44> · 48425418150190364384901841281753800093994232098613459330816701723669856409_<74> (Sinkiti Sibata / Msieve 1.40 snfs / 1.41 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 14, 2010)

(76·10¹²²+23)/9 =: 8(4)₁₂₁7_<123>; = 7 · 11 · 10966810966810966810966810966810966810966810966810966810966810966810966810966810966810966810966810966810966810966810966811_<122>

(76·10¹²³+23)/9 =: 8(4)₁₂₂7_<124>; = 385802078537_<12> · 372476489841882736225009191178393031_<36> · 58763499863918060142313076446861293120353977482610155737326917144762021930401_<77> (Sinkiti Sibata / Msieve 1.40 snfs / 1.43 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 14, 2010)

(76·10¹²⁴+23)/9 =: 8(4)₁₂₃7_<125>; = 3 · 11 · 503947792585666385954109138225811_<33> · 3019044313754110196310168774529000059439_<40> · 1681907503370087577463229672949384326398986488494571_<52> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2856835045 for P33 / Jan 12, 2010) (Sinkiti Sibata / Msieve 1.40 snfs / 2.36 hours / Jan 16, 2010)

(76·10¹²⁵+23)/9 =: 8(4)₁₂₄7_<126>; = 359 · 641 · 1289 · 408825647 · 1154060879782025184197197741_<28> · 9182322325557217955575101157_<28> · 657122444945294780039904445540099101795720479672572303_<54>

(76·10¹²⁶+23)/9 =: 8(4)₁₂₅7_<127>; = 11 · 5994407217880419424562967000599119_<34> · 20115108656417902893343990292614777_<35> · 6366632359532211884184948525243882588810617140882874816779_<58> (Dmitry Domanov / GGNFS/msieve snfs / 0.95 hours / Jan 16, 2010)

(76·10¹²⁷+23)/9 =: 8(4)₁₂₆7_<128>; = 3 · 17 · 197 · 521 · 673 · 701 · 284774929 · 6885510173_<10> · 17439177520674655112560904188152102624807549061201019470014006560413676063920626795356524572258241_<98>

(76·10¹²⁸+23)/9 =: 8(4)₁₂₇7_<129>; = 7 · 11 · 13392061 · 1733363479_<10> · 472436340555006683463721134997836168686816057826623148429455711191798675117595633649667059004406196346248854369_<111>

(76·10¹²⁹+23)/9 =: 8(4)₁₂₈7_<130>; = 16640535047_<11> · 15480434285152637_<17> · 764554192844238153445658278390577769037_<39> · 42875814393220159145561798565757221209136152807215991226764877329_<65> (Dmitry Domanov / GGNFS/msieve snfs / 2.27 hours / Jan 16, 2010)

(76·10¹³⁰+23)/9 =: 8(4)₁₂₉7_<131>; = 3² · 11 · 31 · 151 · 78182819397033661_<17> · 2330697548624894793896067514575085118569931017603965236916718344019536585704408152863195864493128286470117233_<109>

(76·10¹³¹+23)/9 =: 8(4)₁₃₀7_<132>; = 2085054722291_<13> · 2636922486416778219479282826737128219920514887391_<49> · 153587638045221867759741093584543668200465409799681394923325418158942587_<72> (Sinkiti Sibata / Msieve 1.42 snfs / 2 hours / Jan 14, 2010)

(76·10¹³²+23)/9 =: 8(4)₁₃₁7_<133>; = 11 · 349 · 3989 · 7966839526661_<13> · 380112178679746309265792899072797960147136364952237853_<54> · 182092089946352107376391987457742168819288467508386319514829_<60> (Sinkiti Sibata / Msieve 1.42 snfs / 2 hours / Jan 14, 2010)

(76·10¹³³+23)/9 =: 8(4)₁₃₂7_<134>; = 3 · 61 · 47286958180620499573_<20> · 6973764893274032804347_<22> · 1913405169614932300932770566402500359128411_<43> · 731314812654793016520117508492017560941269233149_<48> (Sinkiti Sibata / Msieve 1.40 gnfs for P43 x P48 / 2.59 hours / Jan 15, 2010)

(76·10¹³⁴+23)/9 =: 8(4)₁₃₃7_<135>; = 7 · 11² · 2917 · 341783618500045713558974381114188512823474022713590139650537942681178259449833607592201415245015456939289020817365629906534322653_<129>

(76·10¹³⁵+23)/9 =: 8(4)₁₃₄7_<136>; = 43 · 16729 · 77428264666634018889165287259936841_<35> · 151611840597771927532710506493773049586203378135721037891185124543029684709228081827490136856061_<96> (Sinkiti Sibata / Msieve 1.42 snfs / 2 hours / Jan 15, 2010)

(76·10¹³⁶+23)/9 =: 8(4)₁₃₅7_<137>; = 3 · 11 · 44269 · 107981171 · 513996736895553570597823_<24> · 112875479202824505247873147_<27> · 3414239841145169072286958793581_<31> · 2702435912183279252131630302003553235222681_<43> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=855320601 for P31 / Jan 12, 2010)

(76·10¹³⁷+23)/9 =: 8(4)₁₃₆7_<138>; = 1753 · 5378561 · 31346027 · 715353258661487_<15> · 4629319871647166159_<19> · 5267338561538564551_<19> · 163799126358956349937194738499361085800137231260341477693879641618099_<69>

(76·10¹³⁸+23)/9 =: 8(4)₁₃₇7_<139>; = 11 · 767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767676767677_<138>

(76·10¹³⁹+23)/9 =: 8(4)₁₃₈7_<140>; = 3² · 647 · 5402191520825011436867079302240475557219_<40> · 2684443797301130370669741118283892061366498603156149902982600677010000130183487429107663045900331_<97> (Sinkiti Sibata / Msieve 1.42 snfs / 5 hours / Jan 15, 2010)

(76·10¹⁴⁰+23)/9 =: 8(4)₁₃₉7_<141>; = 7² · 11 · 18503 · 1883191 · 1675163510254967_<16> · 915644938287553058010722051939779_<33> · 29313082859252499015822153301858381518016900261133025181033943686692571155741257_<80> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=694066888 for P33 / Jan 12, 2010)

(76·10¹⁴¹+23)/9 =: 8(4)₁₄₀7_<142>; = 29 · 2083 · 139792481739607072763826120225213045581545920910564081057566911855322138898545606377480166941653193246551632169193047899158118172470813721_<138>

(76·10¹⁴²+23)/9 =: 8(4)₁₄₁7_<143>; = 3 · 11 · 331 · 9923 · 201270076501836131_<18> · 18750552753403772656635768017188912490973460973010560209717_<59> · 206439534546979293878345623555405909311097585697403570872609_<60> (Sinkiti Sibata / Msieve 1.42 snfs / 6 hours / Jan 16, 2010)

(76·10¹⁴³+23)/9 =: 8(4)₁₄₂7_<144>; = 17 · 103 · 307 · 35852821 · 3677789081_<10> · 13101798814569673903578427576537_<32> · 909296423777940999088478568880454697389008082217298999331600179525524961005941805386338183_<90> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3875211855 for P32 / Jan 12, 2010)

(76·10¹⁴⁴+23)/9 =: 8(4)₁₄₃7_<145>; = 11 · 241 · 11657 · 17317 · 795146977 · 6653802509_<10> · 1519273984279_<13> · 1058851541402208982036565849_<28> · 106799521790622913855309852541197_<33> · 17359775346587887774635857215686082794785543_<44> (Makoto Kamada / Msieve 1.44 for P33 x P44 / Jan 13, 2010)

(76·10¹⁴⁵+23)/9 =: 8(4)₁₄₄7_<146>; = 3 · 31 · 191 · 193486597 · 37597451323796393207_<20> · 653499823913548576967925983438534231272515922776114409041430434110569342312396991720415871621254711077832565070711_<114>

(76·10¹⁴⁶+23)/9 =: 8(4)₁₄₅7_<147>; = 7 · 11 · 419 · 599 · 2027 · 5333 · 45936613 · 70394988667_<11> · 697225119438999264225025703_<27> · 42910072123126938375353534217404513413_<38> · 41781227599959758466757040898905799816169366993189_<50> (Sinkiti Sibata / Msieve 1.42 for P38 x P50 / Jan 14, 2010)

(76·10¹⁴⁷+23)/9 =: 8(4)₁₄₆7_<148>; = 36523 · 2646661123_<10> · 123751856099461_<15> · 120759800762353604989446890431_<30> · 4203065797411848076795784411940638986969_<40> · 1390804231898300052214656634217940972893373032648117_<52> (Serge Batalov / GMP-ECM B1=2000000, sigma=3666526774 for P30 / Jan 14, 2010) (Sinkiti Sibata / Msieve 1.40 gnfs for P40 x P52 / 2.89 hours / Jan 15, 2010)

(76·10¹⁴⁸+23)/9 =: 8(4)₁₄₇7_<149>; = 3³ · 11 · 496631 · 5703983377843_<13> · 3785919271991926663535573_<25> · 26511311228111188407447316702923681623276117104187364094275127174435718398828820365398208622297745767839_<104>

(76·10¹⁴⁹+23)/9 =: 8(4)₁₄₈7_<150>; = 4451 · 53864429324144702401516811_<26> · 547998887059674829547219063_<27> · 6427347027085912507328526643472124918949934709266081463376863422836222759294826392703235056729_<94>

(76·10¹⁵⁰+23)/9 =: 8(4)₁₄₉7_<151>; = 11 · 3037 · 1083114079371697_<16> · 233377726370445610006238995169031214659994146413242234055946114101439926793077737937528198624863643543308060212386162884142895087793_<132>

(76·10¹⁵¹+23)/9 =: 8(4)₁₅₀7_<152>; = 3 · 313 · 8117692058647_<13> · 21592204583321335546216470576726618930746753633_<47> · 513069184950053148429931436613956897698323818699150472549189463823411623210781495692528523_<90> (Robert Backstrom / Msieve 1.42 snfs / Jun 3, 2010)

(76·10¹⁵²+23)/9 =: 8(4)₁₅₁7_<153>; = 7 · 11 · 1834058199556411643_<19> · 11790698767062520328477219_<26> · 507139806728851091621904835779654109009863945795719717485776884198527640005047588507508070296028796622407083_<108>

(76·10¹⁵³+23)/9 =: 8(4)₁₅₂7_<154>; = 71 · 269 · 70195589 · 65985712327_<11> · 158284388675153723_<18> · 28818083062270546349079887713_<29> · 20926545896293777758018379911947723802406803102390010185075453369194097371051539878749_<86> (Ignacio Santos / GMP-ECM 6.2.3 B1=11000000, sigma=4277928062 for P29 / Jun 2, 2010)

(76·10¹⁵⁴+23)/9 =: 8(4)₁₅₃7_<155>; = 3 · 11 · 219097 · 2167621 · 6293506324943177_<16> · 856139804457094386178992384503342508883213848669881600168394751789584460255574750878312337028865448223772800501902956911791891_<126>

(76·10¹⁵⁵+23)/9 =: 8(4)₁₅₄7_<156>; = 617 · 24563353 · 429472781302274540305994387329_<30> · 129736633552844988764459820167179467817142223575825480992802514730351847980328049661314188044748799730453533155413343_<117> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=821426505 for P30 / May 31, 2010)

(76·10¹⁵⁶+23)/9 =: 8(4)₁₅₅7_<157>; = 11³ · 43 · 919 · 1759 · 77569 · 249647 · 301827961 · 136590465933555385998889_<24> · 7506224305236556476335147_<25> · 749326330469194852448038961537745090533_<39> · 20326204414947419495351326003926139868207_<41> (Makoto Kamada / Msieve 1.45 for P39 x P41 / Jun 2, 2010)

(76·10¹⁵⁷+23)/9 =: 8(4)₁₅₆7_<158>; = 3² · 47 · 641 · 1965110033827_<13> · 48586821996047159575244386173916398548168681014617227_<53> · 3261875039536091049370132637976081968445096641421715331658583245528503579912841830086601_<88> (Dmitry Domanov / Msieve 1.40 snfs / Jun 4, 2010)

(76·10¹⁵⁸+23)/9 =: 8(4)₁₅₇7_<159>; = 7 · 11 · 59 · 3803 · 75619 · 39977321823602788398836017478782445711345495703843173955617071819468877_<71> · 16168040724179639707877744488267444695350057341896588800036639677782326225461_<77> (Dmitry Domanov / Msieve 1.40 snfs / Jun 4, 2010)

(76·10¹⁵⁹+23)/9 =: 8(4)₁₅₈7_<160>; = 17 · 89 · 139 · 45418487287_<11> · 884066001209688398227810096369897761090005427158588234797314559984019705816992869810106171015570890910034114132207593558955198115773465108901683_<144>

(76·10¹⁶⁰+23)/9 =: 8(4)₁₅₉7_<161>; = 3 · 11 · 31 · 83 · 179 · 677 · 379400124430143307_<18> · 388800670022129677121_<21> · 1131587388141024607757753_<25> · 49165797144935280052407053704332423930888967692061381544947436024748951298964705806672711_<89>

(76·10¹⁶¹+23)/9 =: 8(4)₁₆₀7_<162>; = 54962489260746712014062929861_<29> · 88471634982342132379049754152271541603233580635822800873065259_<62> · 173660335547461828939011384486118570794618053699013521733912959971402553_<72> (Dmitry Domanov / Msieve 1.40 snfs / Jun 4, 2010)

(76·10¹⁶²+23)/9 =: 8(4)₁₆₁7_<163>; = 11 · 61398279329_<11> · 12503229342359990629887848329489261032311832193963854995896032754060955042105049211952772911358223572356354181563236356225276535349806588987311989491613_<152>

(76·10¹⁶³+23)/9 =: 8(4)₁₆₂7_<164>; = 3 · 1155177537195013_<16> · 5196308698329019447358405672403768780869213_<43> · 548469770130452713388019674728373757489904241_<45> · 8549750745452687908272099845480408278610613394767287375838581_<61> (Dmitry Domanov / Msieve 1.40 snfs / Jun 4, 2010)

(76·10¹⁶⁴+23)/9 =: 8(4)₁₆₃7_<165>; = 7 · 11 · 1429 · 15559 · 80849 · 12747668764234285969_<20> · 76449712546223380120631776941217_<32> · 6260156183205912834857751595547196716119459207966747240283859978449219924366302378513798311642434713_<100> (Sinkiti Sibata / Msieve 1.40 snfs / Jun 5, 2010)

(76·10¹⁶⁵+23)/9 =: 8(4)₁₆₄7_<166>; = 84223 · 4016983 · 8815530497865104008108394360795427229807584097873237_<52> · 2831339383778532092788666706757452373513303756294234198434189592211109902985919818198537280088968414059_<103> (Justin Card / cado-nfs / Jun 7, 2010)

(76·10¹⁶⁶+23)/9 =: 8(4)₁₆₅7_<167>; = 3² · 11 · 449797125209_<12> · 2796935988751_<13> · 5912239722668401_<16> · 327454607771981754897073802475159003461567_<42> · 350214033435329741392539009976755353996048058312881405023815104052756440567317122301_<84> (Sinkiti Sibata / Msieve 1.40 snfs / Jun 5, 2010)

(76·10¹⁶⁷+23)/9 =: 8(4)₁₆₆7_<168>; = 5197 · 20156815459963064996439404923401661359377032316037875324121938435822889645760883_<80> · 8061139675610203177444366016974144500588488287226041531458180524915573997175284986297_<85> (Sinkiti Sibata / Msieve 1.40 snfs / Jun 5, 2010)

(76·10¹⁶⁸+23)/9 =: 8(4)₁₆₇7_<169>; = 11 · 20808299252914495301661864355603711_<35> · 9473878061473260700942854888219407934557449844484172397349608279_<64> · 3894162067579994693379226797027685335499234170904407375083215909548533_<70> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1449373014 for P35 / May 31, 2010) (Sinkiti Sibata / Msieve 1.40 snfs / Jun 6, 2010)

(76·10¹⁶⁹+23)/9 =: 8(4)₁₆₈7_<170>; = 3 · 29 · 14827 · 70625674486716913307479097885609758221134489407215918997137726524440682580617_<77> · 926906513961657886783032439490898191458821144454051878746943887632436562564291724247059_<87> (Robert Backstrom / Msieve 1.42 snfs / Jun 4, 2010)

(76·10¹⁷⁰+23)/9 =: 8(4)₁₆₉7_<171>; = 7 · 11 · 5530776593_<10> · 2032647720509813711_<19> · 88159386672188665520888490391051848073188240091_<47> · 11065309456381680440681578102299011067342334395698993347735988537936952526387600866431381593727_<95> (Wataru Sakai / Jun 17, 2010)

(76·10¹⁷¹+23)/9 =: 8(4)₁₇₀7_<172>; = 5120813 · 32846701024873340114405109150213225100707376890231988900901809763639333_<71> · 50204241339268689677797964197250077708944242833657358867833361935936009957465081138828465654943_<95> (Robert Backstrom / Msieve 1.42 snfs / Jun 5, 2010)

(76·10¹⁷²+23)/9 =: 8(4)₁₇₁7_<173>; = 3 · 11 · 11280029396740463976228002297680016262444011672310021421_<56> · 226854245580423620897116886165777843695888523277901146627503797620565216749314639248219518220774218791915814512724379_<117> (Ignacio Santos / GGNFS, Msieve snfs / Jun 4, 2010)

(76·10¹⁷³+23)/9 =: 8(4)₁₇₂7_<174>; = 37189 · 1426043204567478031940694226709371_<34> · [15922963475399543616301696690127141605975856743609558549582010639542147130290940242945985960374178385521369318637364134732144637954103113_<137>] (Wataru Sakai / GMP-ECM 6.2.3 B1=3000000, sigma=682286198 for P34 / Jun 3, 2010) SUBMIT/RESERVE

(76·10¹⁷⁴+23)/9 =: 8(4)₁₇₃7_<175>; = 11 · 223 · 241 · 49139 · 13389488383_<11> · 7884823372429113284964463299236248834849_<40> · 2753431179231927663889551621499985681499233673061932491698022764771285209146698706512110113742760299725644378183103_<115> (Robert Backstrom / Msieve 1.44 snfs / Jan 9, 2012)

(76·10¹⁷⁵+23)/9 =: 8(4)₁₇₄7_<176>; = 3⁴ · 17 · 31 · 81937 · 2703053446639489_<16> · 1444019601635893235056003268346313132069_<40> · 4777443433045807409784577746210343993689395663519700239_<55> · 1294708844697112254436097584968547945981383083772698308787_<58> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=11000000, sigma=4215201661 for P40 / Jan 16, 2011) (Nicolai Caraibendko / CADO-NFS 1.0 / Jan 18, 2011)

(76·10¹⁷⁶+23)/9 =: 8(4)₁₇₅7_<177>; = 7 · 11 · 17807 · 31151 · 8337023 · 949745368910297_<15> · 1013531103888619505006197083827796749286121_<43> · 2463555444180345055192629068417870012062473942083676973167640897464234836684706707344709382065991387173_<103> (Wataru Sakai / GMP-ECM 6.3 B1=11000000, sigma=3188838265 for P43 / Nov 5, 2011)

(76·10¹⁷⁷+23)/9 =: 8(4)₁₇₆7_<178>; = 43 · 103 · 20393 · 93494116789821976535921750433563281744522176314273525499886193671244715581811803618220597506064363640603974799285753663081350585453331806968065594655496402935029807702051_<170>

(76·10¹⁷⁸+23)/9 =: 8(4)₁₇₇7_<179>; = 3 · 11² · 953 · 3831689 · 18012017 · [3536868855284259538732324516368771471078210869576522678956813617090128560870252205571636281202926028065278145613102576403595970811345567456035220102385576269421_<160>] SUBMIT/RESERVE

(76·10¹⁷⁹+23)/9 =: 8(4)₁₇₈7_<180>; = 521 · 121360147081_<12> · [13355411241849442010128665154653631947259222381406337198879249468111597407528437653314930667506994038561519631508383808560061990181867598093104046348007339241540472047_<167>] SUBMIT/RESERVE

(76·10¹⁸⁰+23)/9 =: 8(4)₁₇₉7_<181>; = 11 · 23992068865963190903_<20> · 222872113743980967969011629_<27> · 310657427826984183296410297127249_<33> · 462139642763159053796186560796401626561849085864383358726904459008902985719430267840496893050777847879_<102> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=83452625 for P33 / Jun 1, 2010)

(76·10¹⁸¹+23)/9 =: 8(4)₁₈₀7_<182>; = 3 · 4493 · 1384343 · 153360779922121_<15> · 708744859438455163845163_<24> · [41635661597774904485555819219561349627832900479021898972245626807309019939413611184804559563705353589647563958363846080267118343208437_<134>] SUBMIT/RESERVE

(76·10¹⁸²+23)/9 =: 8(4)₁₈₁7_<183>; = 7² · 11 · 283 · 20633912719499762325135527589423393033734146509904821212831_<59> · 268296058751708545546171705635488461800947923742922772264174835908659058152762870114024422438272255170813795222271002601_<120> (Ignacio Santos / GGNFS, Msieve snfs / Jun 6, 2010)

(76·10¹⁸³+23)/9 =: 8(4)₁₈₂7_<184>; = 4933 · 5371159 · 62876444267195342501213_<23> · 927361794360206856105754502053793_<33> · 157361885518576286936297462082470894504365651_<45> · 34734034733723817985152633944792114847653712888103949185445934747090812339_<74> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3127494913 for P33 / Jun 1, 2010) (Dmitry Domanov / Msieve 1.40 gnfs for P45 x P74 / Jun 4, 2010)

(76·10¹⁸⁴+23)/9 =: 8(4)₁₈₃7_<185>; = 3² · 11 · 199 · 3529 · 71453 · 3582499 · [4744873166946666293806857443365176446745193996976869098519744110865281319210874767096977978182756659453402862940770292945630364229050748853746049194457216437180921069_<166>] SUBMIT/RESERVE

(76·10¹⁸⁵+23)/9 =: 8(4)₁₈₄7_<186>; = 128342393 · 11456567911_<11> · 941584817818383684603313041301_<30> · [609939794490069487489203468590180437005046820098345762936519755881584693912774637366224054052074452293126605978975491125491384621321490189_<138>] (Serge Batalov / GMP-ECM B1=3000000, sigma=3879649023 for P30 / Jun 6, 2010) SUBMIT/RESERVE

(76·10¹⁸⁶+23)/9 =: 8(4)₁₈₅7_<187>; = 11 · 109 · 113 · 611657 · 1665754687_<10> · 6710159054309_<13> · 920025685591022279357679587_<27> · 9908814430250327838889861626031875167315944778411924261660370329713855406336457799756795103940871198643751658248804142938410473_<127> (Serge Batalov / GMP-ECM B1=1500000, sigma=2396083362 for P27 / Jun 2, 2010)

(76·10¹⁸⁷+23)/9 =: 8(4)₁₈₆7_<188>; = 3 · 277 · 13249 · 17295349 · 959239332210391649_<18> · [462307193273253659224617525818247661972788907990978967473113022855758778998745687303884541842413799078949867116372464649288825596325586503913278383466898013_<156>] SUBMIT/RESERVE

(76·10¹⁸⁸+23)/9 =: 8(4)₁₈₇7_<189>; = 7 · 11 · 71 · 18445963 · 160701515091569_<15> · [52107556064766424918437346343729316327398659546942640799130943087090555723219361801283111239248494401113134024874583363652902400919365448223218320419242737633397303_<164>] SUBMIT/RESERVE

(76·10¹⁸⁹+23)/9 =: 8(4)₁₈₈7_<190>; = 641 · 97120097 · 3961913002768208821914015383803_<31> · 34237260790346265738514578496407833668191849007782800906933807656374778166730399061276037830447158577000238848784728523815697627845548969317620498637_<149> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2060752044 for P31 / Jun 1, 2010)

(76·10¹⁹⁰+23)/9 =: 8(4)₁₈₉7_<191>; = 3 · 11 · 31 · 661 · 350974110220952307892982374931132410562899020295519054427719_<60> · 355810621202794995483560168894840968190121422181086169358651877787586966223391672637528152998867173931419140309986039828904571_<126> (Ignacio Santos / GGNFS, Msieve snfs / Jun 11, 2010)

(76·10¹⁹¹+23)/9 =: 8(4)₁₉₀7_<192>; = 17 · 683 · 462912779541099422270432802740081376384377459039_<48> · 157109442432747697099328484594929971629995370057566098340143759624545233498237465027174720326740842843409312361848661408175900208596113700243_<141> (Ignacio Santos / GGNFS, Msieve snfs / Jun 15, 2010)

(76·10¹⁹²+23)/9 =: 8(4)₁₉₁7_<193>; = 11 · 2447 · 1734193 · 3360802937973841_<16> · 203031039704271279219427_<24> · [265119402713445252164487815927529870646394134220176165070011962594729497989959457829028230823387595605877416050764276577814756390984757609403441_<144>] SUBMIT/RESERVE

(76·10¹⁹³+23)/9 =: 8(4)₁₉₂7_<194>; = 3² · 61 · 16346287 · 237781145348903711509507503856255687387182794503561359766309848528711882217_<75> · 39573294220420900410397678606764099530726995134680895802597498134622860082991979037337999793818180675143840757_<110> (matsui / Msieve 1.46 snfs / Jun 30, 2010)

(76·10¹⁹⁴+23)/9 =: 8(4)₁₉₃7_<195>; = 7 · 11 · 4191846423169_<13> · 2164137787017852380560463933_<28> · [1208899189884969689989869905442745253753325358873154946475883754526039968276167222543490644149416866068024378383972292885168572038230186210148280058793143_<154>] SUBMIT/RESERVE

(76·10¹⁹⁵+23)/9 =: 8(4)₁₉₄7_<196>; = 303878666419_<12> · 13759089992135573_<17> · 420508354863642752286413817817_<30> · [4802933027424316096619197629268662214396588721868831237153359474968474304061747881363789115457265910095596959390781697707027916255643007993_<139>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3770556379 for P30 / Jun 1, 2010) SUBMIT/RESERVE

(76·10¹⁹⁶+23)/9 =: 8(4)₁₉₅7_<197>; = 3 · 11 · 63095972335989762872112879339333316961_<38> · 40556036529497411118103381074843890069959325222507744733062186877823963045128672534855852855132186410322846983414367633402448655875239394425066494914326492319_<158> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3948190491 for P38 / Jun 1, 2010)

(76·10¹⁹⁷+23)/9 =: 8(4)₁₉₆7_<198>; = 29 · 25044113 · 2726467415059_<13> · 3974592585937_<13> · 2369324334047913503299487_<25> · 45284542620606730199157991430105941552171730452118500738518820752047475191529984513871448529913868150764877911915380754018848184057910057591_<140>

(76·10¹⁹⁸+23)/9 =: 8(4)₁₉₇7_<199>; = 11 · 43 · 2347 · 159169 · 1050486427_<10> · 2716412749_<10> · 204049931597_<12> · 30101841618810167_<17> · 4753695109444889059134090208635701_<34> · 14161795099520576699080589690921131_<35> · 40501677310719697948919069632876937389046410400182062582187009943257651079_<74> (Serge Batalov / GMP-ECM 6.2.3 B1=3000000, sigma=641435155 for P35, Msieve v. 1.45 gnfs for P34 x P74 / Jun 6, 2010)

(76·10¹⁹⁹+23)/9 =: 8(4)₁₉₈7_<200>; = 3 · 22073 · 446824055047300416966780662532518808232782273197629_<51> · 2853986531396022698068802292812284642862735947925390048401849567682892201620990659513700205898418030662289744222006967701399793372139887462753697_<145> (Wataru Sakai / GMP-ECM 6.2.3 B1=3000000, sigma=2727544917 for P51 / Jun 4, 2010)

(76·10²⁰⁰+23)/9 =: 8(4)₁₉₉7_<201>; = 7 · 11² · 863 · 1487 · 256899153169_<12> · 78983302284693011147_<20> · [38288464325138284996710203707531613565542284959956923962109413307716233119195641472082114467586149844344941858418237397325475637920385325682003504632026815112147_<161>] SUBMIT/RESERVE

4. References

A103081 - OEIS (The OEIS Foundation Inc.)