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Factorizations of 855...553

About 855...553
- First ten terms
- General term
Prime numbers of the form 855...553
Factorizations of 855...553
References

1. About 855...553

First ten terms

83, 853, 8553, 85553, 855553, 8555553, 85555553, 855555553, 8555555553, 85555555553

General term

(77·10ⁿ-23)/9

2. Prime numbers of the form 855...553

Last update

Sep 19, 2010

Searched up to

n≤30000

Difficulty of search

16.89%

Results

(77·10¹-23)/9 = 83 is prime. (Makoto Kamada / Dec 6, 2004)
(77·10²-23)/9 = 853 is prime. (Makoto Kamada / Dec 6, 2004)
(77·10⁷-23)/9 = 85555553 is prime. (Makoto Kamada / Dec 6, 2004)
(77·10⁴⁴-23)/9 = 8(5)₄₃3_<45> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(77·10⁵⁶-23)/9 = 8(5)₅₅3_<57> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(77·10³³⁸-23)/9 = 8(5)₃₃₇3_<339> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
(77·10¹²¹¹-23)/9 = 8(5)₁₂₁₀3_<1212> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 12, 2006)
(77·10²⁶⁹³-23)/9 = 8(5)₂₆₉₂3_<2694> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
(77·10³⁵³⁶-23)/9 = 8(5)₃₅₃₅3_<3537> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
(77·10³⁹¹⁷-23)/9 = 8(5)₃₉₁₆3_<3918> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
(77·10³⁹⁷⁴-23)/9 = 8(5)₃₉₇₃3_<3975> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
(77·10⁴⁰⁴⁶-23)/9 = 8(5)₄₀₄₅3_<4047> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
(77·10⁶⁹⁶¹-23)/9 = 8(5)₆₉₆₀3_<6962> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
(77·10²³⁷⁷¹-23)/9 = 8(5)₂₃₇₇₀3_<23772> is PRP. (Ray Chandler / srsieve, PFGW / Sep 13, 2010)

3. Factorizations of 855...553

Last update

Feb 3, 2012

Completed up to

n≤100 / Jan 8, 2005
n≤150 / Feb 18, 2010

Range

n≤200

Terms which have not been factored yet

n=182, 190, 194, 195, 196, 197, 200 (7/200)

Results

(77·10¹-23)/9 =: 83; = definitely prime number

(77·10²-23)/9 =: 853; = definitely prime number

(77·10³-23)/9 =: 8553; = 3 · 2851

(77·10⁴-23)/9 =: 85553; = 13 · 6581

(77·10⁵-23)/9 =: 855553; = 257 · 3329

(77·10⁶-23)/9 =: 8555553; = 3² · 950617

(77·10⁷-23)/9 =: 85555553; = definitely prime number

(77·10⁸-23)/9 =: 855555553; = 24071 · 35543

(77·10⁹-23)/9 =: 8555555553_<10>; = 3 · 29 · 31 · 67 · 113 · 419

(77·10¹⁰-23)/9 =: 85555555553_<11>; = 13 · 89 · 73946029

(77·10¹¹-23)/9 =: 855555555553_<12>; = 167 · 5123087159_<10>

(77·10¹²-23)/9 =: 8555555555553_<13>; = 3 · 347 · 2887 · 2846759

(77·10¹³-23)/9 =: 85555555555553_<14>; = 9221 · 9278338093_<10>

(77·10¹⁴-23)/9 =: 855555555555553_<15>; = 157 · 3863 · 8443 · 167081

(77·10¹⁵-23)/9 =: 8555555555555553_<16>; = 3³ · 17 · 179 · 4933 · 21109181

(77·10¹⁶-23)/9 =: 85555555555555553_<17>; = 13 · 19 · 346378767431399_<15>

(77·10¹⁷-23)/9 =: 855555555555555553_<18>; = 43451 · 252823 · 77881061

(77·10¹⁸-23)/9 =: 8555555555555555553_<19>; = 3 · 109 · 26163778457356439_<17>

(77·10¹⁹-23)/9 =: 85555555555555555553_<20>; = 103330699 · 827978097347_<12>

(77·10²⁰-23)/9 =: 855555555555555555553_<21>; = 47 · 211 · 5987 · 14409822936007_<14>

(77·10²¹-23)/9 =: 8555555555555555555553_<22>; = 3 · 3023 · 5308067 · 177726593911_<12>

(77·10²²-23)/9 =: 85555555555555555555553_<23>; = 13 · 151 · 43584083319182656931_<20>

(77·10²³-23)/9 =: 855555555555555555555553_<24>; = 719 · 74611 · 552241 · 28879376837_<11>

(77·10²⁴-23)/9 =: 8555555555555555555555553_<25>; = 3² · 31 · 30665073675826363998407_<23>

(77·10²⁵-23)/9 =: 85555555555555555555555553_<26>; = 23801923 · 3594480813821452811_<19>

(77·10²⁶-23)/9 =: 855555555555555555555555553_<27>; = 1813979689_<10> · 471645609233475577_<18>

(77·10²⁷-23)/9 =: 8555555555555555555555555553_<28>; = 3 · 191 · 74561 · 17425547 · 11491995569983_<14>

(77·10²⁸-23)/9 =: 85555555555555555555555555553_<29>; = 13 · 8739789323_<10> · 753015471880680847_<18>

(77·10²⁹-23)/9 =: 855555555555555555555555555553_<30>; = 139 · 6155075939248601119104716227_<28>

(77·10³⁰-23)/9 =: 8555555555555555555555555555553_<31>; = 3 · 7526705628907_<13> · 378897753208130593_<18>

(77·10³¹-23)/9 =: 85555555555555555555555555555553_<32>; = 17 · 61 · 251 · 547 · 600908588926231299606677_<24>

(77·10³²-23)/9 =: 855555555555555555555555555555553_<33>; = 8467 · 1311901 · 77022496805578795355959_<23>

(77·10³³-23)/9 =: 8555555555555555555555555555555553_<34>; = 3² · 8321527 · 114235918954612210469378671_<27>

(77·10³⁴-23)/9 =: 85555555555555555555555555555555553_<35>; = 13 · 19 · 346378767431399010346378767431399_<33>

(77·10³⁵-23)/9 =: 855555555555555555555555555555555553_<36>; = 1381 · 1523 · 8019251 · 30313741 · 1673328820473241_<16>

(77·10³⁶-23)/9 =: 8555555555555555555555555555555555553_<37>; = 3 · 18191 · 61091 · 2424953 · 1058253777488619023407_<22>

(77·10³⁷-23)/9 =: 85555555555555555555555555555555555553_<38>; = 29 · 847139507 · 3482533333062019563726764951_<28>

(77·10³⁸-23)/9 =: 855555555555555555555555555555555555553_<39>; = 266899 · 286965583 · 11170470244744768025639509_<26>

(77·10³⁹-23)/9 =: 8555555555555555555555555555555555555553_<40>; = 3 · 31 · 3313 · 3671 · 12379 · 17509 · 34898964507715315256357_<23>

(77·10⁴⁰-23)/9 =: 85555555555555555555555555555555555555553_<41>; = 13 · 97 · 4673371695411129559_<19> · 14517866725995047747_<20>

(77·10⁴¹-23)/9 =: 855555555555555555555555555555555555555553_<42>; = 571 · 906707 · 294253681 · 5615950025297010819736529_<25>

(77·10⁴²-23)/9 =: 8555555555555555555555555555555555555555553_<43>; = 3³ · 67 · 83 · 523 · 28211 · 1797781 · 2148199447028349362288143_<25>

(77·10⁴³-23)/9 =: 85555555555555555555555555555555555555555553_<44>; = 43793 · 1953635411037278915706974985855172186321_<40>

(77·10⁴⁴-23)/9 =: 855555555555555555555555555555555555555555553_<45>; = definitely prime number

(77·10⁴⁵-23)/9 =: 8555555555555555555555555555555555555555555553_<46>; = 3 · 804614633 · 25873181431_<11> · 136990105628609760048880837_<27>

(77·10⁴⁶-23)/9 =: 85555555555555555555555555555555555555555555553_<47>; = 13 · 6581196581196581196581196581196581196581196581_<46>

(77·10⁴⁷-23)/9 =: 855555555555555555555555555555555555555555555553_<48>; = 17 · 619 · 997 · 1337803 · 853155881 · 2059103172683_<13> · 34698829499927_<14>

(77·10⁴⁸-23)/9 =: 8555555555555555555555555555555555555555555555553_<49>; = 3 · 181 · 51631 · 299005854999583_<15> · 1020606093484522346312852527_<28>

(77·10⁴⁹-23)/9 =: 85555555555555555555555555555555555555555555555553_<50>; = 217606091 · 30168861757_<11> · 1402075955098157_<16> · 9294942378563867_<16>

(77·10⁵⁰-23)/9 =: 855555555555555555555555555555555555555555555555553_<51>; = 211 · 563 · 106758871 · 67461096089670393511172749885793975951_<38>

(77·10⁵¹-23)/9 =: 8(5)₅₀3_<52>; = 3² · 13307145768099114726003997_<26> · 71436602598094938419964461_<26>

(77·10⁵²-23)/9 =: 8(5)₅₁3_<53>; = 13 · 19 · 51991 · 6662283230393702955249538716920217159631066289_<46>

(77·10⁵³-23)/9 =: 8(5)₅₂3_<54>; = 185412527 · 236762737 · 19489279813208938921729728890836225247_<38>

(77·10⁵⁴-23)/9 =: 8(5)₅₃3_<55>; = 3 · 31 · 59 · 89 · 475823 · 36819494189784347075775332157113244741196777_<44>

(77·10⁵⁵-23)/9 =: 8(5)₅₄3_<56>; = 3209 · 320356698059_<12> · 4323922586029_<13> · 19247165471168035938604830647_<29>

(77·10⁵⁶-23)/9 =: 8(5)₅₅3_<57>; = definitely prime number

(77·10⁵⁷-23)/9 =: 8(5)₅₆3_<58>; = 3 · 33997 · 100049 · 1221469 · 2125567 · 449226950453_<12> · 718870334990337269235193_<24>

(77·10⁵⁸-23)/9 =: 8(5)₅₇3_<59>; = 13 · 43726043 · 21173133852217_<14> · 37743233139880831_<17> · 188339079347015485321_<21>

(77·10⁵⁹-23)/9 =: 8(5)₅₈3_<60>; = 1627 · 96223 · 5464894342382184165095468733955855345748538497933293_<52>

(77·10⁶⁰-23)/9 =: 8(5)₅₉3_<61>; = 3² · 950617283950617283950617283950617283950617283950617283950617_<60>

(77·10⁶¹-23)/9 =: 8(5)₆₀3_<62>; = 1511 · 380333 · 16210181837_<11> · 15801002568571247_<17> · 581228915841465565089714929_<27>

(77·10⁶²-23)/9 =: 8(5)₆₁3_<63>; = 2731 · 1505866357_<10> · 6659368217_<10> · 8988083404192431589_<19> · 3475681418403895550243_<22>

(77·10⁶³-23)/9 =: 8(5)₆₂3_<64>; = 3 · 17 · 227 · 739013177468735903563579127196644688222817271793690555027689_<60>

(77·10⁶⁴-23)/9 =: 8(5)₆₃3_<65>; = 13 · 6759091 · 17124794223209_<14> · 56857951447207679695886754611384406828628399_<44>

(77·10⁶⁵-23)/9 =: 8(5)₆₄3_<66>; = 29 · 5501 · 1063122837239_<13> · 885548958366653990551199_<24> · 5696558332361322366897937_<25>

(77·10⁶⁶-23)/9 =: 8(5)₆₅3_<67>; = 3 · 47 · 3809443710859_<13> · 253071605628239_<15> · 62939620772264738437783441571536804033_<38>

(77·10⁶⁷-23)/9 =: 8(5)₆₆3_<68>; = 367 · 7143443 · 54460037 · 10920940549_<11> · 17149308557_<11> · 1517838819551149_<16> · 2107969498179157_<16>

(77·10⁶⁸-23)/9 =: 8(5)₆₇3_<69>; = 313 · 1074275096982385646138729_<25> · 2544417476051051544652235502694591154543489_<43>

(77·10⁶⁹-23)/9 =: 8(5)₆₈3_<70>; = 3⁴ · 31 · 3407230408425151555378556573299703526704721447851674852869595999823_<67>

(77·10⁷⁰-23)/9 =: 8(5)₆₉3_<71>; = 13² · 19² · 1291 · 26285286556237_<14> · 5505451124938077583_<19> · 7506239884361048323770916790897_<31>

(77·10⁷¹-23)/9 =: 8(5)₇₀3_<72>; = 1165269394687053654421_<22> · 734212671727574830926108783229598243628352229406493_<51>

(77·10⁷²-23)/9 =: 8(5)₇₁3_<73>; = 3 · 52929781529983_<14> · 53879909748661450980252687555699347084387989174311002444597_<59>

(77·10⁷³-23)/9 =: 8(5)₇₂3_<74>; = 85400995151346245513189_<23> · 1001809819709189578228274053842501884365344227360077_<52>

(77·10⁷⁴-23)/9 =: 8(5)₇₃3_<75>; = 546267811 · 45279590737_<11> · 188992832459_<12> · 266983952553133_<15> · 685503411482538475077968613557_<30>

(77·10⁷⁵-23)/9 =: 8(5)₇₄3_<76>; = 3 · 67 · 139 · 1009 · 3413 · 65178511 · 1061029346302043_<16> · 288642350450217017_<18> · 4454695470888079664767691_<25>

(77·10⁷⁶-23)/9 =: 8(5)₇₅3_<77>; = 13 · 337 · 7275221 · 2684285912135459668981993865108340021716336469395556109088219285953_<67>

(77·10⁷⁷-23)/9 =: 8(5)₇₆3_<78>; = 77267 · 158201 · 19348591 · 258549439273_<12> · 4654136539991_<13> · 3006165428878942266687968063793329843_<37>

(77·10⁷⁸-23)/9 =: 8(5)₇₇3_<79>; = 3² · 1356150999997_<13> · 134398269948139558708180572570277_<33> · 5215596431233475608224489587989193_<34> (Makoto Kamada / msieve 0.81 / 56 seconds)

(77·10⁷⁹-23)/9 =: 8(5)₇₈3_<80>; = 17 · 2879 · 29863 · 58536155431234750576526795001435702220380395015145204314692323513028217_<71>

(77·10⁸⁰-23)/9 =: 8(5)₇₉3_<81>; = 211 · 7840667 · 517145501287081025506135082347465434467009002387553522122251085879003169_<72>

(77·10⁸¹-23)/9 =: 8(5)₈₀3_<82>; = 3 · 251 · 389 · 887 · 393901 · 23417822199866273_<17> · 620083373229008210135101_<24> · 5757001522308101977467297059_<28>

(77·10⁸²-23)/9 =: 8(5)₈₁3_<83>; = 13 · 1382601830960727929_<19> · 4760008582242009624232599560575966839609013038993546630771442189_<64>

(77·10⁸³-23)/9 =: 8(5)₈₂3_<84>; = 83 · 131 · 269 · 14295414299759_<14> · 23882166904831520398297_<23> · 856793320759209085751397611916413591457403_<42>

(77·10⁸⁴-23)/9 =: 8(5)₈₃3_<85>; = 3 · 31 · 4919 · 22277 · 129121 · 221744220806609_<15> · 139107984146081623_<18> · 210780529833954157707061166212667168561_<39>

(77·10⁸⁵-23)/9 =: 8(5)₈₄3_<86>; = 70994947 · 302635171 · 738670157 · 5390770268494362578072139293956112797200662574014646328508317_<61>

(77·10⁸⁶-23)/9 =: 8(5)₈₅3_<87>; = 118638932051609_<15> · 225994218151243_<15> · 483033484838896868800622249_<27> · 66061194291323646132690141411331_<32>

(77·10⁸⁷-23)/9 =: 8(5)₈₆3_<88>; = 3² · 412891 · 6753432757_<10> · 34514047112346071471_<20> · 11179650927380415826741_<23> · 883530566466623513500646197181_<30>

(77·10⁸⁸-23)/9 =: 8(5)₈₇3_<89>; = 13 · 19 · 111801109528441330373_<21> · 2623242018492935537693_<22> · 1181045933885497514134829119391948343505611191_<46>

(77·10⁸⁹-23)/9 =: 8(5)₈₈3_<90>; = 102111473 · 945390937 · 24075166447721351477789_<23> · 105688933208678036411023_<24> · 3483079822042936815563807299_<28>

(77·10⁹⁰-23)/9 =: 8(5)₈₉3_<91>; = 3 · 1051 · 15101 · 1605659821_<10> · 111908995476196073816812319636642323044628050713021011616896955546640296281_<75>

(77·10⁹¹-23)/9 =: 8(5)₉₀3_<92>; = 61 · 334963 · 3712909019_<10> · 312260673448063707989841548222507143_<36> · 3611519330606451853021451726529364418563_<40> (Makoto Kamada / msieve 0.83 / 11 minutes)

(77·10⁹²-23)/9 =: 8(5)₉₁3_<93>; = 157 · 349 · 601 · 653 · 8516873 · 78288443 · 59670222314070843810290078826613499399858380416296407482149667389063_<68>

(77·10⁹³-23)/9 =: 8(5)₉₂3_<94>; = 3 · 29 · 34172119 · 152945743 · 1108479826813_<13> · 16974299691431797097619434065093902223695547494040015634988428939_<65>

(77·10⁹⁴-23)/9 =: 8(5)₉₃3_<95>; = 13 · 6581196581196581196581196581196581196581196581196581196581196581196581196581196581196581196581_<94>

(77·10⁹⁵-23)/9 =: 8(5)₉₄3_<96>; = 17 · 6823 · 3109999 · 4720758793_<10> · 502402582287845909521229556674355783369189595031834383367193843708839438369_<75>

(77·10⁹⁶-23)/9 =: 8(5)₉₅3_<97>; = 3³ · 1373 · 272409881 · 116891319984091771_<18> · 7247843295464255771491231016477216671354812265511540390068391556293_<67>

(77·10⁹⁷-23)/9 =: 8(5)₉₆3_<98>; = 151 · 66760667 · 6236721368768817743986287623437_<31> · 1360799870990130759700232110422920286009289026984691607257_<58> (Makoto Kamada / GGNFS-0.71.4 / 0.46 hours)

(77·10⁹⁸-23)/9 =: 8(5)₉₇3_<99>; = 89 · 6287 · 315697 · 91759295269_<11> · 4908281713332372919546845823131167_<34> · 10753869032995019739875092290651674323123541_<44> (Makoto Kamada / GGNFS-0.71.4 / 0.51 hours)

(77·10⁹⁹-23)/9 =: 8(5)₉₈3_<100>; = 3 · 31 · 79633 · 140729 · 47998387359093302501_<20> · 93947881849753794817_<20> · 1820434046188601383388935998099120384253815917609_<49>

(77·10¹⁰⁰-23)/9 =: 8(5)₉₉3_<101>; = 13 · 149 · 44169104571789135547524809269775712728732862961050880513967762289909940916652326048299202661618769_<98>

(77·10¹⁰¹-23)/9 =: 8(5)₁₀₀3_<102>; = 311 · 63838051 · 542416212208236246209393707547450011663_<39> · 79446642048150827077404386674848396849980435280219971_<53> (Sinkiti Sibata / Msieve 1.40 snfs / 0.32 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 15, 2010)

(77·10¹⁰²-23)/9 =: 8(5)₁₀₁3_<103>; = 3 · 36651793218047453535416087197183_<32> · 41989370498190365115995715874433_<32> · 1853072322759415291719725833317883520309_<40> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=101270235 for P32(4198...) / Feb 5, 2010) (Makoto Kamada / Msieve 1.45 for P32(3665...) x P40 / Feb 15, 2010)

(77·10¹⁰³-23)/9 =: 8(5)₁₀₂3_<104>; = 14657 · 51490702355654824038547078674353159598261628687_<47> · 113363778292646265718075658267530288702185369603583567_<54> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.58 hours / Feb 15, 2010)

(77·10¹⁰⁴-23)/9 =: 8(5)₁₀₃3_<105>; = 12007 · 367069 · 31155575513_<11> · 163581426793_<12> · 154077115006221601_<18> · 2307176905334075910812021_<25> · 107146303509859834384357175204119_<33>

(77·10¹⁰⁵-23)/9 =: 8(5)₁₀₄3_<106>; = 3² · 37199 · 79367 · 20018895812919613_<17> · 16084010840861638927228264895332462093151065838864805271736173885818683393007173_<80>

(77·10¹⁰⁶-23)/9 =: 8(5)₁₀₅3_<107>; = 13 · 19 · 114011263684132164017_<21> · 2647293665791233375779028179002234229443_<40> · 1147628652502339612630645308340327503546368029_<46> (Makoto Kamada / Msieve 1.45 for P40 x P46 / Feb 15, 2010)

(77·10¹⁰⁷-23)/9 =: 8(5)₁₀₆3_<108>; = 32725787975438087899467407200201947510584466180977_<50> · 26143161356349359313219561142439752437339239870124896971889_<59> (Sinkiti Sibata / Msieve 1.40 snfs / 0.69 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 15, 2010)

(77·10¹⁰⁸-23)/9 =: 8(5)₁₀₇3_<109>; = 3 · 67 · 751 · 2349472682731_<13> · 52927168614596013301_<20> · 22570277284121609661986208869_<29> · 20194181963219626458390681830801329347251677_<44>

(77·10¹⁰⁹-23)/9 =: 8(5)₁₀₈3_<110>; = 1021 · 509647 · 4201649 · 10684888691201_<14> · 3662378535419746708593349836133619808050010336842368510029041605714449558740610731_<82>

(77·10¹¹⁰-23)/9 =: 8(5)₁₀₉3_<111>; = 211 · 2063366057_<10> · 1661505099392036221630129_<25> · 1182735956143079096121921020783195156415703999712258777936723752779392450291_<76>

(77·10¹¹¹-23)/9 =: 8(5)₁₁₀3_<112>; = 3 · 17 · 75108287 · 2909529913_<10> · 703227125111336467_<18> · 805365417660229157443993679490882697_<36> · 1355435215201125625161605174402513712487_<40> (Makoto Kamada / Msieve 1.45 for P36 x P40 / Feb 15, 2010)

(77·10¹¹²-23)/9 =: 8(5)₁₁₁3_<113>; = 13 · 47 · 59 · 1627207913346895541_<19> · 1488947513899096133690419_<25> · 979563416541372742805507948944366723413334771265614077056787102943_<66>

(77·10¹¹³-23)/9 =: 8(5)₁₁₂3_<114>; = 207983506652039_<15> · 14580095338270613_<17> · 149031638854162901597_<21> · 1893130177383313475531373868755541182704600192676620378254898807_<64>

(77·10¹¹⁴-23)/9 =: 8(5)₁₁₃3_<115>; = 3² · 31 · 800388106055033_<15> · 776657687685239181662033_<24> · 49330298195541445371292378296171126587053611434937205652025033041006021263_<74>

(77·10¹¹⁵-23)/9 =: 8(5)₁₁₄3_<116>; = 17270721823_<11> · 89883074453_<11> · 445708333843_<12> · 468741967564312633_<18> · 5129946176975408864599_<22> · 51423591574199836926185817270410622728355727_<44>

(77·10¹¹⁶-23)/9 =: 8(5)₁₁₅3_<117>; = 1061 · 3667581784761901089251644455001803343_<37> · 219863443049887391518428233448405450643997201200659959321082732916603564387811_<78> (Sinkiti Sibata / Msieve 1.40 snfs / 1.22 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 15, 2010)

(77·10¹¹⁷-23)/9 =: 8(5)₁₁₆3_<118>; = 3 · 44017 · 3410249 · 17888311933_<11> · 18506793261964668931_<20> · 57387842557270991943894812711444231230005134696999785674127312944137143646389_<77>

(77·10¹¹⁸-23)/9 =: 8(5)₁₁₇3_<119>; = 13 · 1093 · 8020088088679585896460451_<25> · 750767671008824514711253227571824938319653358892119485217074833835554374361363534591885867_<90>

(77·10¹¹⁹-23)/9 =: 8(5)₁₁₈3_<120>; = 1055881 · 28219277 · 49624175287_<11> · 2556350172896963_<16> · 226346462776198149847980233219802162686452447827456328140904153455675527336435449_<81>

(77·10¹²⁰-23)/9 =: 8(5)₁₁₉3_<121>; = 3 · 2851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851_<121>

(77·10¹²¹-23)/9 =: 8(5)₁₂₀3_<122>; = 29 · 113 · 139 · 187826546818693961522878127159547918576948023515883661700483982664341520375399405833892544188634444900594629575558351_<117>

(77·10¹²²-23)/9 =: 8(5)₁₂₁3_<123>; = 191 · 373 · 547 · 587 · 1459 · 9161 · 2129119 · 37772588467_<11> · 34794109946850491044537085756648628465825101296226352464632067590274336744118146925629357_<89>

(77·10¹²³-23)/9 =: 8(5)₁₂₂3_<124>; = 3³ · 48407 · 462933937 · 391458089342721395513084095273_<30> · 36122016928226416288732134466784486439123791291534274773918002591903171395072077_<80> (Sinkiti Sibata / Msieve 1.40 snfs / 2.14 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 16, 2010)

(77·10¹²⁴-23)/9 =: 8(5)₁₂₃3_<125>; = 13 · 19 · 83 · 268750327 · 20369817724709_<14> · 34325750582682524206651042113924714149_<38> · 22208385294229153654570403508667165772581255557764380063221379_<62> (Sinkiti Sibata / Msieve 1.40 snfs / 2.10 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 16, 2010)

(77·10¹²⁵-23)/9 =: 8(5)₁₂₄3_<126>; = 1697 · 117224612723_<12> · 629394006833_<12> · 801519525923993293250177_<24> · 1069680727947114910331376457_<28> · 7969969979198547511785641674234368334948855236499_<49>

(77·10¹²⁶-23)/9 =: 8(5)₁₂₅3_<127>; = 3 · 109 · 81336373 · 914198478566909259307_<21> · 108226350974145544632150959_<27> · 490425276665524542251714269_<27> · 6629324916637161640995911295337881854955019_<43>

(77·10¹²⁷-23)/9 =: 8(5)₁₂₆3_<128>; = 17 · 38079619 · 132162029734648645073575285934692527433044580118173784242393866690296139093624049923577160412789713906531957740740611611_<120>

(77·10¹²⁸-23)/9 =: 8(5)₁₂₇3_<129>; = 461 · 14228909269_<11> · 1871250815144949989545357301_<28> · 39054091482000246873861298152167_<32> · 1784748963775764743791688339812672178140937889632501351051_<58> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3415691243 for P32 / Feb 5, 2010)

(77·10¹²⁹-23)/9 =: 8(5)₁₂₈3_<130>; = 3 · 31 · 12687873357255523519117_<23> · 15821134451761675803125807449_<29> · 7898506212672290101408384815943_<31> · 58022153902648361684981063288181900494044304359_<47> (Makoto Kamada / Msieve 1.45 for P31 x P47 / Feb 15, 2010)

(77·10¹³⁰-23)/9 =: 8(5)₁₂₉3_<131>; = 13 · 503 · 2377 · 127331 · 5569374227_<10> · 161129048946634101633037_<24> · 48171847448998816520105351300745346892692978911416459531290597563946454991223929876079_<86>

(77·10¹³¹-23)/9 =: 8(5)₁₃₀3_<132>; = 251 · 383 · 203051 · 312799 · 419537 · 56614036785743808923046639698161263712870565666273_<50> · 5899440706468105488983574204603049342858232178585812174669609_<61> (Dmitry Domanov / GGNFS/msieve snfs / 2.98 hours / Feb 18, 2010)

(77·10¹³²-23)/9 =: 8(5)₁₃₁3_<133>; = 3² · 19961 · 47623730471951168977036084562427598013657496315345788485076763887110730121267335501759294822434611690327001851140588344803230497_<128>

(77·10¹³³-23)/9 =: 8(5)₁₃₂3_<134>; = 1217 · 49821772579_<11> · 41026543284517361_<17> · 75863377059314579641_<20> · 11825080913187379199249_<23> · 38338687697750965594586267700340954784326315666614456490787779_<62>

(77·10¹³⁴-23)/9 =: 8(5)₁₃₃3_<135>; = 11093 · 188474681 · 432125887199188823669551813_<27> · 1314094232859600277345792738966509238770383_<43> · 720625112260629165542005461281398294944238350683701679_<54> (Serge Batalov / GMP-ECM B1=2000000, sigma=2300021774 for P27 / Feb 15, 2010) (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P43 x P54 / 1.59 hours on Core 2 Quad Q6700 / Feb 16, 2010)

(77·10¹³⁵-23)/9 =: 8(5)₁₃₄3_<136>; = 3 · 421 · 533275373 · 251336913097468766184193_<24> · 50540212106333256397521730483694026311285387229830262010928800306046592280706502072991596758781434379_<101>

(77·10¹³⁶-23)/9 =: 8(5)₁₃₅3_<137>; = 13 · 97 · 1892623711972027008459679313947_<31> · 787257908776268316193948893895949541473593878947_<48> · 45535679327415383798518713174770000089720190485090374997_<56> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=4402573060 for P31 / Feb 16, 2010) (Sinkiti Sibata / Msieve 1.40 snfs / 6.22 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 17, 2010)

(77·10¹³⁷-23)/9 =: 8(5)₁₃₆3_<138>; = 237151 · 12128732569951701731474174809_<29> · 297445796028335887901443549708486019570380907222648156035789772744718873977434984391114384276276906654167_<105> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=1934743300 for P29 / Feb 16, 2010)

(77·10¹³⁸-23)/9 =: 8(5)₁₃₇3_<139>; = 3 · 283 · 273551 · 9288121 · 5008852781544723541_<19> · 28673262066732568549844363519_<29> · 27615886108046398398290245373558027621535138295901226059671260351596191766533_<77>

(77·10¹³⁹-23)/9 =: 8(5)₁₃₈3_<140>; = 3486209 · 199371165733417382809168827028750318843_<39> · 123092742481366421643149195374852318608995367730080284907501266176504690772158790066039372664019_<96> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=2991554797 for P39 / Feb 16, 2010)

(77·10¹⁴⁰-23)/9 =: 8(5)₁₃₉3_<141>; = 211 · 4054765666140073723012111637704054765666140073723012111637704054765666140073723012111637704054765666140073723012111637704054765666140073723_<139>

(77·10¹⁴¹-23)/9 =: 8(5)₁₄₀3_<142>; = 3² · 67 · 8807 · 135903792667394894381_<21> · 708686355319925586976919_<24> · 6081914662955430692118156047_<28> · 74172017333382288360309080051_<29> · 37079754156674304911534829687351371_<35>

(77·10¹⁴²-23)/9 =: 8(5)₁₄₁3_<143>; = 13 · 19 · 89 · 911 · 783317 · 39887382224814931_<17> · 676193719627857117308140257266740669106681_<42> · 202208151579030275976070654235783226223344844221377856983816058582258263_<72> (Sinkiti Sibata / Msieve 1.40 snfs / 8.58 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 17, 2010)

(77·10¹⁴³-23)/9 =: 8(5)₁₄₂3_<144>; = 17 · 32650577 · 59085011 · 2380188829916388397051_<22> · 587819898714235246919779981_<27> · 18645559368777544798618997512718929926173884396922255469148511009860355404129637_<80>

(77·10¹⁴⁴-23)/9 =: 8(5)₁₄₃3_<145>; = 3 · 31 · 189593 · 6085699 · 437231569 · 564105766943_<12> · 3372464569021_<13> · 95854620842228206626389553945285487586070321088227475011468842332415608122557784629718187786871429_<98>

(77·10¹⁴⁵-23)/9 =: 8(5)₁₄₄3_<146>; = 71347 · 17255692085931544414425589_<26> · 98682660076900026756577623592891_<32> · 704205266752363661769316535084157814746484959066534188396660398531471419346476495101_<84> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=450094340 for P32 / Feb 5, 2010)

(77·10¹⁴⁶-23)/9 =: 8(5)₁₄₅3_<147>; = 401068783948268870747550730667_<30> · 2133189093235208842026511840025732210191676270845366404357482966126392992979116080770962729027252097146200564376138659_<118> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3915954515 for P30 / Feb 5, 2010)

(77·10¹⁴⁷-23)/9 =: 8(5)₁₄₆3_<148>; = 3 · 3008029 · 771784309741_<12> · 1228425991730038286982873348067901148271113427724878061874601449796721039104097801429623774033042423983699836596656163898311397059_<130>

(77·10¹⁴⁸-23)/9 =: 8(5)₁₄₇3_<149>; = 13² · 1146282793697273_<16> · 9535454129478103609_<19> · 868647662372045196658034239_<27> · 2145867053755237657215838957064171_<34> · 24847453649778347988631209161726731260930492954914789_<53> (Makoto Kamada / Msieve 1.45 for P34 x P53 / Feb 15, 2010)

(77·10¹⁴⁹-23)/9 =: 8(5)₁₄₈3_<150>; = 29 · 15439 · 203251577981_<12> · 198444393895733605925713_<24> · 2290427085137998730729281947745301854370893_<43> · 20684347215599452725092564879255716671006119639617039580101231613347_<68> (Markus Tervooren / Msieve 1.44 for P43 x P68 / Feb 18, 2010)

(77·10¹⁵⁰-23)/9 =: 8(5)₁₄₉3_<151>; = 3⁴ · 13417 · 186869116721933264312093771400922538239501526355400467449_<57> · 42127942041267656582092688450732710512885900747944635846400855511527003182161358176258161_<89> (Sinkiti Sibata / Msieve 1.40 snfs / 15.65 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 18, 2010)

(77·10¹⁵¹-23)/9 =: 8(5)₁₅₀3_<152>; = 61 · 1873 · 53866553893_<11> · 453095684949202424747_<21> · 31585619035701600830947792436431016977_<38> · 110332696589092591228239005239077653671_<39> · 8803955912186662230146750322690613024693_<40> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 29, 2010)

(77·10¹⁵²-23)/9 =: 8(5)₁₅₁3_<153>; = 631 · 309742767907_<12> · 1642694627867686936171_<22> · 3114980932171823781811837_<25> · 3504792864501711563871300669687352421039538283_<46> · 244086126892593284322279556435322803373661333049_<48> (Sinkiti Sibata / Msieve 1.40 gnfs for P46 x P48 / Oct 29, 2010)

(77·10¹⁵³-23)/9 =: 8(5)₁₅₂3_<154>; = 3 · 214577681 · 207486837764927671_<18> · 2478039437989408127069_<22> · 304368333812793325643342673473974567464884101849_<48> · 84926686700303679276546894309143947563907355272771366507721_<59> (Sinkiti Sibata / Msieve 1.40 gnfs for P48 x P59 / Oct 29, 2010)

(77·10¹⁵⁴-23)/9 =: 8(5)₁₅₃3_<155>; = 13 · 956521 · 5639151240642769_<16> · 314108286657493209561833_<24> · 3884339828124089854926405113610139023003984774027194597607003337121930323200668417607452737869586600165594693_<109>

(77·10¹⁵⁵-23)/9 =: 8(5)₁₅₄3_<156>; = 1747 · 240541337013826117559_<21> · 74147213636104157295251401289_<29> · 27458117221929242109893843190814405330754668624614553418906377609258751548479695972555735840111130216949_<104>

(77·10¹⁵⁶-23)/9 =: 8(5)₁₅₅3_<157>; = 3 · 359492417 · 131300686424642887521464951171_<30> · 126775734343750245732220856118378425823871_<42> · 476578115512335579291764892456747358562304029788026983673266472368018796031783_<78> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1052296639 for P30 / Oct 26, 2010) (Sinkiti Sibata / Msieve 1.42 snfs / Oct 29, 2010)

(77·10¹⁵⁷-23)/9 =: 8(5)₁₅₆3_<158>; = 50464329661_<11> · 124946837347458648589614889_<27> · 227443775052484371318407841001_<30> · 288024252371189620703017704124963069471319_<42> · 207126337680983232241146875266851970180775953309603_<51> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3089230610 for P30 / Oct 26, 2010) (Erik Branger / GGNFS, Msieve gnfs for P42 x P51 / Oct 28, 2010)

(77·10¹⁵⁸-23)/9 =: 8(5)₁₅₇3_<159>; = 47 · 647 · 1079356409_<10> · 409724547075871_<15> · 63619348694154221016401475540143809602962231902931356393087482002830655841172352491380541632133373290609022652232931418666098738303_<131>

(77·10¹⁵⁹-23)/9 =: 8(5)₁₅₈3_<160>; = 3² · 17 · 31 · 1803827863283903764612177009393960690608381942980298451519197882259235832923372455314264295921474922107433176376882891746901867078970178274416098578021411671_<157>

(77·10¹⁶⁰-23)/9 =: 8(5)₁₅₉3_<161>; = 13 · 19 · 218685090812860492126382519729399600994163522788989079877_<57> · 1583915785680205474052305637749297757699404185316073380669484685197068836222710476777000765037550947387_<103> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 29, 2010)

(77·10¹⁶¹-23)/9 =: 8(5)₁₆₀3_<162>; = 193 · 392911 · 1569053 · 16298144025741943317763656147047066773_<38> · 441185219399543534811302982655050137793620791497975773346736270953665977741741263538697068464781609240583527919_<111> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 30, 2010)

(77·10¹⁶²-23)/9 =: 8(5)₁₆₁3_<163>; = 3 · 2267 · 7151 · 30637 · 5160560762468538221278648223069096205568141731609407_<52> · 1112667826434121251746481468702880110793667216320996562399027875386951483991273672112477222936791717_<100> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 31, 2010)

(77·10¹⁶³-23)/9 =: 8(5)₁₆₂3_<164>; = 459803910871_<12> · 5775173401795980417582800687080615848478622738619589_<52> · 32218886451523105624499723612284053475410729294071833830582981908112724969095900288256805760952612187_<101> (Sinkiti Sibata / Msieve 1.42 snfs / Nov 1, 2010)

(77·10¹⁶⁴-23)/9 =: 8(5)₁₆₃3_<165>; = 661 · 23557 · 168024931 · 10205814756431328812131562898713119133_<38> · 8814107664495086417507299718853774134529148966881172429_<55> · 3635189172816367103768036223211893670102908069055800613067_<58> (Sinkiti Sibata / Msieve 1.40 snfs / Nov 2, 2010)

(77·10¹⁶⁵-23)/9 =: 8(5)₁₆₄3_<166>; = 3 · 83 · 2441 · 10457 · 538051271 · 272431706163650357_<18> · 5965207679053198132191064231757_<31> · 1539455363441309887419980068716236788435696360158706809718714444934737486778097913167999796592731039_<100> (Serge Batalov / GMP-ECM B1=1500000, sigma=2854287714 for P31 / Oct 28, 2010)

(77·10¹⁶⁶-23)/9 =: 8(5)₁₆₅3_<167>; = 13 · 1186454825598023044635303401_<28> · 5546942402867620191440189601473233510405929741893073389503987608376313168255043214271633343981230786893454692874950972539641291112295881181_<139>

(77·10¹⁶⁷-23)/9 =: 8(5)₁₆₆3_<168>; = 139 · 727 · 1774338403_<10> · 4771583765403125769791545982310124316666550699850310370113833605784278969715305009372852069667710865766006949205910690225926894298781564642327261852634567_<154>

(77·10¹⁶⁸-23)/9 =: 8(5)₁₆₇3_<169>; = 3² · 5749 · 682277 · 29280977755803326376945837197201581147761587620188870809_<56> · 8276888253184197551452193094237256309018761282658803899132919322308458382648035622314785629468888632281_<103> (Ignacio Santos / GGNFS, Msieve snfs / Nov 7, 2010)

(77·10¹⁶⁹-23)/9 =: 8(5)₁₆₈3_<170>; = 1236434011_<10> · 13341211336351693_<17> · 54256260829652336633_<20> · 9669540684139092884157203684067355109_<37> · 9886129699163916789399622654671764405884852536918735548881558635786171758621016819752363_<88> (Andreas Tete / factmsieve.py Version76, Msieve 1.47 snfs / Dec 19, 2010)

(77·10¹⁷⁰-23)/9 =: 8(5)₁₆₉3_<171>; = 59 · 157 · 211 · 64794599281_<11> · 118876142257_<12> · 107629781303958940336504788000611355674695611868441_<51> · 528017269832505432189576327180858795477189399540652981616725094443123146574408221766485396893_<93> (Wataru Sakai / Dec 10, 2010)

(77·10¹⁷¹-23)/9 =: 8(5)₁₇₀3_<172>; = 3 · 263 · 10843543162934797915786508942402478524151527953809322630615406280805520349246584988029854950007041261794113505140121109702858752288410083086889170539360653429094493733277_<170>

(77·10¹⁷²-23)/9 =: 8(5)₁₇₁3_<173>; = 13 · 151 · 19194061 · 204030222454078591_<18> · 11129266506964284922587932369563066073570735245932303392089561938834423221323350330695124809716864775816431268364326999300676317506325983355724881_<146>

(77·10¹⁷³-23)/9 =: 8(5)₁₇₂3_<174>; = 46471 · 36501657583448218081_<20> · 6110337047721027822485783976079454550632760778293949871_<55> · 82544557595077437021999157133961941366751638382786852860894025945036662962850591522963610259193_<95> (Robert Backstrom / Msieve 1.44 snfs / Jan 17, 2012)

(77·10¹⁷⁴-23)/9 =: 8(5)₁₇₃3_<175>; = 3 · 31 · 67 · 3793 · 67043 · 101741 · 12227946825417148655595223559_<29> · 4340148993782488965291768754010093218775293172033080629733781790313349252244459185730499986799914532092735775374721799192183432423_<130> (Serge Batalov / GMP-ECM B1=1500000, sigma=595797723 for P29 / Oct 28, 2010)

(77·10¹⁷⁵-23)/9 =: 8(5)₁₇₄3_<176>; = 17 · 569 · 39841 · 326165711960842694636911121_<27> · 414649572402041675561772008482429709310625835933682780556837393_<63> · 1641486334122426022389664284632283664240373247329573359293025816491120891176857_<79> (Warut Roonguthai / Msieve 1.48 snfs / Jan 23, 2012)

(77·10¹⁷⁶-23)/9 =: 8(5)₁₇₅3_<177>; = 227 · 3079 · 14779 · 677119748358874568194071041_<27> · 7995351588320833636096076702041_<31> · 15299053875966570677018468034912732057504595718121460270449934963623910348037570475778472508831364273031807359_<110> (Serge Batalov / GMP-ECM B1=1500000, sigma=1064335913 for P31 / Oct 28, 2010)

(77·10¹⁷⁷-23)/9 =: 8(5)₁₇₆3_<178>; = 3³ · 29 · 167 · 508789 · 40780034677515745632887_<23> · 150673010650452629331976494329957_<33> · 4573527663051616727897945091508935055040741411579_<49> · 4576125242949616700831145487615697028329621969648016772614975637_<64> (Serge Batalov / GMP-ECM B1=1500000, sigma=4092515503 for P33 / Oct 28, 2010) (Erik Branger / GGNFS, Msieve gnfs for P49 x P64 / Oct 30, 2010)

(77·10¹⁷⁸-23)/9 =: 8(5)₁₇₇3_<179>; = 13 · 19 · 4931 · 351525397 · 676472078106073_<15> · 716010334965769_<15> · 412563104158358671793246134829422728033930977750895038507354383178508889217183485870810723043599723109051850384963829388335197088698361_<135>

(77·10¹⁷⁹-23)/9 =: 8(5)₁₇₈3_<180>; = 2269 · 22193 · 26207131 · 14147490479717302408991_<23> · 6202870895356874064017985263256846169_<37> · 271061026575232769121860990752627357385761_<42> · 27254548757592320335997618568701960446190433014284581223918370281_<65> (Serge Batalov / GMP-ECM B1=1500000, sigma=3322919167 for P37 / Oct 28, 2010) (Erik Branger / GMP-ECM B1=3000000, sigma=1686469694 for P42 / Oct 29, 2010)

(77·10¹⁸⁰-23)/9 =: 8(5)₁₇₉3_<181>; = 3 · 2339 · 23689 · 124291 · 5064023 · 13648183632869657_<17> · 5991558477248239963264122226176604795674121804836904915445183532568154415421010365283360356332889202489318545408859220802853299328172648440125381_<145>

(77·10¹⁸¹-23)/9 =: 8(5)₁₈₀3_<182>; = 251 · 1879 · 2042687 · 153066326475080482332137_<24> · 266945958821573977614377173_<27> · 9445933853441592971304739360935923995258861272253547_<52> · 230090124469368540504278942041011400157774521323580240820209963991813_<69> (Warut Roonguthai / Msieve 1.48 gnfs for P52 x P69 / Jun 12, 2011)

(77·10¹⁸²-23)/9 =: 8(5)₁₈₁3_<183>; = 479 · 3559 · 100730668047888463649_<21> · [4982221139503608151270075978756614339214921922773623516729891903564703428787028251572160373810399533149647874863890388728818307941928128825616221562029707977_<157>] SUBMIT/RESERVE

(77·10¹⁸³-23)/9 =: 8(5)₁₈₂3_<184>; = 3 · 1831 · 2547647 · 6744382706193432641832885793386737167677761517184697668901_<58> · 90647777027425773029509550850435602579653517479739306740131823901260703866178973840768526489238057807840308662203143_<116> (Robert Backstrom / Msieve 1.44 snfs / Feb 2, 2012)

(77·10¹⁸⁴-23)/9 =: 8(5)₁₈₃3_<185>; = 13 · 13149231279073373187452932228259_<32> · 44385375249056929452380628719958392509081_<41> · 11276247599257256636939901856694765290656973303040534239136578131522187881679733246879979276168832598036803870639_<113> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1343804680 for P32 / Oct 28, 2010) (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2359255592 for P41 / Oct 28, 2010)

(77·10¹⁸⁵-23)/9 =: 8(5)₁₈₄3_<186>; = 347 · 718559 · 440077049827_<12> · 1603804871695906782854994284826700928333_<40> · 4861564574675432397143215571049192826261954923674407378894612640000278659872376704628832206607422813861379433772998026695497771_<127> (Serge Batalov / GMP-ECM B1=3000000, sigma=3650749153 for P40 / Oct 28, 2010)

(77·10¹⁸⁶-23)/9 =: 8(5)₁₈₅3_<187>; = 3² · 89 · 41737 · 50785883 · 315977557907821_<15> · 1436265905544597864949559554052812807_<37> · 11103512173595026997118078981094902313990269960543412182229249461344839001541580335555744777913754704936412682669557387969_<122> (Serge Batalov / GMP-ECM B1=1500000, sigma=1365518713 for P37 / Oct 28, 2010)

(77·10¹⁸⁷-23)/9 =: 8(5)₁₈₆3_<188>; = 504106143972812425289361732133376158168907891800725397301088159761754568427307358372243_<87> · 169717343417599287402084486471473568002237441316532695895311665864057742470086850200313290741687514171_<102> (Sinkiti Sibata / Msieve 1.42 snfs / Nov 8, 2010)

(77·10¹⁸⁸-23)/9 =: 8(5)₁₈₇3_<189>; = 1103 · 99377 · 20062793 · 127784747855830303055611_<24> · 60030306371100427258274561_<26> · 8838389541645762745876390026870691_<34> · 5738160744149488914053083230618113555622319279146594199888955689436083431912728027448646231_<91> (Erik Branger / GMP-ECM B1=1000000, sigma=2339790961 for P34 / Oct 28, 2010)

(77·10¹⁸⁹-23)/9 =: 8(5)₁₈₈3_<190>; = 3 · 31 · 2058619 · 8310293 · 5377407570039789117772929870673578574448123261263448254024118456790108721871289996530039665048204138531853592929636629697237841567622227210222544551270599860409403190535701363_<175>

(77·10¹⁹⁰-23)/9 =: 8(5)₁₈₉3_<191>; = 13 · 28909 · 15661673 · [14535622723950072584837819883199614483330761313896576039566776637985951444567228747096494010541876015677235743278190061831935301396293278307703101535510778351859401946671486262833_<179>] SUBMIT/RESERVE

(77·10¹⁹¹-23)/9 =: 8(5)₁₉₀3_<192>; = 17 · 50326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209150326797385620915032679738562091503267973856209_<191>

(77·10¹⁹²-23)/9 =: 8(5)₁₉₁3_<193>; = 3 · 161215196341_<12> · 35034408450165766778259688926019668953_<38> · 10694027464663730354644700210466342735774591665140870564782845216419_<68> · 47215533412999017320351536331211162726291711267983346620404213814292972834173_<77> (matsui / Msieve 1.48 snfs / Jan 11, 2011)

(77·10¹⁹³-23)/9 =: 8(5)₁₉₂3_<194>; = 179 · 937 · 10434025856418440797_<20> · 3355629863668615045182511_<25> · 14568996349499687916703346521107987941140363482737991677883028481286988823285732450689238281162417840846993043810059224813586598786849610610541233_<146>

(77·10¹⁹⁴-23)/9 =: 8(5)₁₉₃3_<195>; = 35602742313689_<14> · 995571020969512841175185610713_<30> · [24137512855403023561679008548574241209377785781985991247247732278795329085778122668397304017277930217678744521002408732269516761319044154749420716953329_<152>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=530283072 for P30 / Oct 28, 2010) SUBMIT/RESERVE

(77·10¹⁹⁵-23)/9 =: 8(5)₁₉₄3_<196>; = 3² · 7241441 · 104472119 · [1256551538214946056566268808223057244062753407722140722330532808186593068981560462522127932375796458244251511517298518306448494145009815182193861483610278969050272425981730379441423_<181>] SUBMIT/RESERVE

(77·10¹⁹⁶-23)/9 =: 8(5)₁₉₅3_<197>; = 13 · 19 · 229 · 141553111431341549316940253_<27> · [10685537191826325329692145416798425781199891978353860273883717538592202098835134209063086772102771817266373665770395090880509026270802584228653325207758529927234818327_<167>] SUBMIT/RESERVE

(77·10¹⁹⁷-23)/9 =: 8(5)₁₉₆3_<198>; = 409 · 607 · 1163 · 2658847156391_<13> · 44865481874478047_<17> · [24839954307713518478857891188814603747889023590535533911329026557227578538110604015189155635258007022163383165851200204905632474974286778402168811126490038330381_<161>] SUBMIT/RESERVE

(77·10¹⁹⁸-23)/9 =: 8(5)₁₉₇3_<199>; = 3 · 787 · 134651523483832483_<18> · 29721684792748305143_<20> · 1910195789986881417941_<22> · 72370133403993770205639208711_<29> · 223368103603659496382008195967334699047_<39> · 29323048540921475743456138549770908514809768238000859893357660107810161_<71> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp gnfs for P39 x P71 / Oct 30, 2010)

(77·10¹⁹⁹-23)/9 =: 8(5)₁₉₈3_<200>; = 6816907 · 12550494755987657680463523347986932424860065650823101379490076005959235699644362986843674932862595243789530289258098365659903465832166341062824467981674908511375548405685387163937480085257955779_<194>

(77·10²⁰⁰-23)/9 =: 8(5)₁₉₉3_<201>; = 211 · 57931231 · 678389554463_<12> · [103174851184797728953210777789592832580673961975530091583052023175252148903252034074050698950968753941188416043523716032573138899550208704355137258741379812310069898299777431428091_<180>] SUBMIT/RESERVE

4. References

A103084 - OEIS (The OEIS Foundation Inc.)