Factorizations of 988...881

Table of contents

1. About 988...881
   • First ten terms
   • General term
2. Prime numbers of the form 988...881
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 988...881
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 988...881

First ten terms

91, 981, 9881, 98881, 988881, 9888881, 98888881, 988888881, 9888888881, 98888888881

General term

(89·10ⁿ-71)/9

2. Prime numbers of the form 988...881

Last update

Aug 17, 2010

Searched up to

n≤30000

Difficulty of search

14.16%

Results

1. (89·10⁶-71)/9 = 9888881 is prime.
2. (89·10⁹-71)/9 = 9888888881_<10> is prime.
3. (89·10⁹⁰-71)/9 = 9(8)₈₉1_<91> is prime.
4. (89·10¹¹¹-71)/9 = 9(8)₁₁₀1_<112> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
5. (89·10²¹⁰-71)/9 = 9(8)₂₀₉1_<211> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
6. (89·10²³⁷-71)/9 = 9(8)₂₃₆1_<238> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
7. (89·10⁴¹⁴-71)/9 = 9(8)₄₁₃1_<415> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PPSIQS / Jan 24, 2005)
8. (89·10¹¹⁹²-71)/9 = 9(8)₁₁₉₁1_<1193> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 11, 2006)
9. (89·10¹²⁶⁰-71)/9 = 9(8)₁₂₅₉1_<1261> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 9, 2006)
10. (89·10⁵⁸³⁶-71)/9 = 9(8)₅₈₃₅1_<5837> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
11. (89·10⁶⁷⁷²-71)/9 = 9(8)₆₇₇₁1_<6773> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
12. (89·10²⁴⁸⁶¹-71)/9 = 9(8)₂₄₈₆₀1_<24862> is PRP. (Serge Batalov / srsieve and PFGW / Aug 17, 2010)

3. Factorizations of 988...881

Last update

Jan 8, 2012

Completed up to

• n≤100 / Jan 8, 2005
• n≤150 / Oct 23, 2010

Range

n≤200

Terms which have not been factored yet

n=175, 181, 182, 184, 191, 194, 195, 200 (8/200)

Results

(89·10¹-71)/9 =

91

= 7 · 13

(89·10²-71)/9 =

981

= 3² · 109

(89·10³-71)/9 =

9881

= 41 · 241

(89·10⁴-71)/9 =

98881

= 61 · 1621

(89·10⁵-71)/9 =

988881

= 3 · 329627

(89·10⁶-71)/9 =

9888881

= definitely prime number

(89·10⁷-71)/9 =

98888881

= 7 · 13 · 17 · 97 · 659

(89·10⁸-71)/9 =

988888881

= 3 · 41 · 283 · 28409

(89·10⁹-71)/9 =

9888888881_<10>

= definitely prime number

(89·10¹⁰-71)/9 =

98888888881_<11>

= 44887 · 2203063

(89·10¹¹-71)/9 =

988888888881_<12>

= 3⁴ · 12208504801_<11>

(89·10¹²-71)/9 =

9888888888881_<13>

= 414221 · 23873461

(89·10¹³-71)/9 =

98888888888881_<14>

= 7² · 13 · 41 · 43 · 313 · 281327

(89·10¹⁴-71)/9 =

988888888888881_<15>

= 3 · 13321937 · 24743371

(89·10¹⁵-71)/9 =

9888888888888881_<16>

= 9679 · 1021684976639_<13>

(89·10¹⁶-71)/9 =

98888888888888881_<17>

= 19 · 157 · 1787 · 78277 · 236993

(89·10¹⁷-71)/9 =

988888888888888881_<18>

= 3 · 67 · 141811 · 34692973171_<11>

(89·10¹⁸-71)/9 =

9888888888888888881_<19>

= 41 · 55691 · 4330904669051_<13>

(89·10¹⁹-71)/9 =

98888888888888888881_<20>

= 7 · 13 · 29 · 179 · 209341376746501_<15>

(89·10²⁰-71)/9 =

988888888888888888881_<21>

= 3² · 2699 · 85469 · 476314146839_<12>

(89·10²¹-71)/9 =

9888888888888888888881_<22>

= 23 · 1672685023_<10> · 257042829289_<12>

(89·10²²-71)/9 =

98888888888888888888881_<23>

= 47 · 83 · 25349625452163262981_<20>

(89·10²³-71)/9 =

988888888888888888888881_<24>

= 3 · 17 · 41 · 103319 · 24517219 · 186699031

(89·10²⁴-71)/9 =

9888888888888888888888881_<25>

= 1948613 · 5074834710067565437_<19>

(89·10²⁵-71)/9 =

98888888888888888888888881_<26>

= 7 · 13 · 5569 · 6067 · 32162877161547217_<17>

(89·10²⁶-71)/9 =

988888888888888888888888881_<27>

= 3 · 10081523 · 32696412003387745049_<20>

(89·10²⁷-71)/9 =

9888888888888888888888888881_<28>

= 3014617 · 3280313515411373613593_<22>

(89·10²⁸-71)/9 =

98888888888888888888888888881_<29>

= 41 · 18926573006483_<14> · 127435860597427_<15>

(89·10²⁹-71)/9 =

988888888888888888888888888881_<30>

= 3² · 109876543209876543209876543209_<30>

(89·10³⁰-71)/9 =

9888888888888888888888888888881_<31>

= 12049 · 55871 · 892783 · 18308369 · 898699457

(89·10³¹-71)/9 =

98888888888888888888888888888881_<32>

= 7 · 13 · 1106816663_<10> · 981816702818366126357_<21>

(89·10³²-71)/9 =

988888888888888888888888888888881_<33>

= 3 · 181 · 1657 · 23021 · 47742040223968448485411_<23>

(89·10³³-71)/9 =

9888888888888888888888888888888881_<34>

= 41 · 241 · 1087 · 33023 · 27880498157068690063001_<23>

(89·10³⁴-71)/9 =

98888888888888888888888888888888881_<35>

= 19 · 43 · 121039031687746498028015775873793_<33>

(89·10³⁵-71)/9 =

988888888888888888888888888888888881_<36>

= 3 · 97852449343989167_<17> · 3368639536766771381_<19>

(89·10³⁶-71)/9 =

9888888888888888888888888888888888881_<37>

= 170497 · 402938969 · 2404133447_<10> · 59873261198111_<14>

(89·10³⁷-71)/9 =

98888888888888888888888888888888888881_<38>

= 7 · 13 · 9601 · 1132877 · 1409731 · 3712567 · 19089577894979_<14>

(89·10³⁸-71)/9 =

988888888888888888888888888888888888881_<39>

= 3³ · 41 · 997 · 530740146992521_<15> · 1688195652906095959_<19>

(89·10³⁹-71)/9 =

9888888888888888888888888888888888888881_<40>

= 17 · 347 · 1051 · 1595020925330421577830184072045769_<34>

(89·10⁴⁰-71)/9 =

98888888888888888888888888888888888888881_<41>

= 227 · 462781935774305009_<18> · 941337243486692349067_<21>

(89·10⁴¹-71)/9 =

988888888888888888888888888888888888888881_<42>

= 3 · 6473 · 7128165903850172089_<19> · 7144022873194010491_<19>

(89·10⁴²-71)/9 =

9888888888888888888888888888888888888888881_<43>

= 151 · 2887 · 48058403 · 26697835669_<11> · 17679841838274554959_<20>

(89·10⁴³-71)/9 =

98888888888888888888888888888888888888888881_<44>

= 7 · 13 · 23 · 41 · 1152376550043570192032546221305500202637_<40>

(89·10⁴⁴-71)/9 =

988888888888888888888888888888888888888888881_<45>

= 3 · 18632591 · 33797969 · 523434553378255176211873486213_<30>

(89·10⁴⁵-71)/9 =

9888888888888888888888888888888888888888888881_<46>

= 1429315381876439_<16> · 6918619231471868676600294541879_<31>

(89·10⁴⁶-71)/9 =

98888888888888888888888888888888888888888888881_<47>

= 4305143 · 24780590638333_<14> · 926932825606713821107054499_<27>

(89·10⁴⁷-71)/9 =

988888888888888888888888888888888888888888888881_<48>

= 3² · 29 · 7207 · 13931 · 408666659 · 92342359706132958787210209307_<29>

(89·10⁴⁸-71)/9 =

9888888888888888888888888888888888888888888888881_<49>

= 41 · 1499 · 352858992592367_<15> · 455995773949964181573996371077_<30>

(89·10⁴⁹-71)/9 =

98888888888888888888888888888888888888888888888881_<50>

= 7 · 13 · 59 · 87825951017023_<14> · 209715838900442859756302919614663_<33>

(89·10⁵⁰-71)/9 =

988888888888888888888888888888888888888888888888881_<51>

= 3 · 67 · 233 · 252157 · 8919301 · 9428941 · 8851931789669_<13> · 112484502694769_<15>

(89·10⁵¹-71)/9 =

9(8)₅₀1_<52>

= 1771999970603_<13> · 315594140659947299_<18> · 17682955556115512878673_<23>

(89·10⁵²-71)/9 =

9(8)₅₁1_<53>

= 19 · 409 · 232171 · 1758193 · 2026517 · 15383169251776636844410963403861_<32>

(89·10⁵³-71)/9 =

9(8)₅₂1_<54>

= 3 · 41 · 4192189 · 895200449064431_<15> · 2142304698580994948920202376433_<31>

(89·10⁵⁴-71)/9 =

9(8)₅₃1_<55>

= 337 · 499 · 2053 · 13356481 · 367136423021_<12> · 5841287449102686467445278779_<28>

(89·10⁵⁵-71)/9 =

9(8)₅₄1_<56>

= 7² · 13 · 17 · 43 · 191 · 5101 · 20323032173983921_<17> · 10725399861991796318045371093_<29>

(89·10⁵⁶-71)/9 =

9(8)₅₅1_<57>

= 3² · 225217 · 384186619 · 39849422887_<11> · 31866880213559113032491425167709_<32>

(89·10⁵⁷-71)/9 =

9(8)₅₆1_<58>

= 720091 · 1077729596349221_<16> · 6487057991994133_<16> · 1964276063256996872587_<22>

(89·10⁵⁸-71)/9 =

9(8)₅₇1_<59>

= 41 · 683357 · 176268142651611761_<18> · 20023600166449461781010492716930733_<35>

(89·10⁵⁹-71)/9 =

9(8)₅₈1_<60>

= 3 · 855787 · 133944467 · 2875648363651749357874604845679657794859334763_<46>

(89·10⁶⁰-71)/9 =

9(8)₅₉1_<61>

= 14407645989606489506693_<23> · 686363955362494321499617006993672630717_<39>

(89·10⁶¹-71)/9 =

9(8)₆₀1_<62>

= 7 · 13 · 1171 · 12652146143017727_<17> · 180301871014625953_<18> · 406803589742496971036591_<24>

(89·10⁶²-71)/9 =

9(8)₆₁1_<63>

= 3 · 7229 · 272400839 · 167393880356985551843769146236444835927980085170417_<51>

(89·10⁶³-71)/9 =

9(8)₆₂1_<64>

= 41 · 83 · 241 · 367 · 1277 · 2383 · 2659 · 645097 · 949716967 · 6627503186733738905829892277611_<31>

(89·10⁶⁴-71)/9 =

9(8)₆₃1_<65>

= 61 · 181162046742755186744261_<24> · 8948504144189290992799727224851159069761_<40>

(89·10⁶⁵-71)/9 =

9(8)₆₄1_<66>

= 3³ · 23 · 164789 · 26332387 · 43193431 · 8496102566824830271298607778706070147146317_<43>

(89·10⁶⁶-71)/9 =

9(8)₆₅1_<67>

= 492721507 · 50673280579_<11> · 906418036202611_<15> · 436956714977396382916667153461907_<33>

(89·10⁶⁷-71)/9 =

9(8)₆₆1_<68>

= 7 · 13² · 907 · 7691 · 272003 · 450973527202937_<15> · 97689505499973806561997833872504304501_<38>

(89·10⁶⁸-71)/9 =

9(8)₆₇1_<69>

= 3 · 41 · 47² · 35993 · 61343 · 304331111303_<12> · 25638699826113857911_<20> · 211261939428516666361349_<24>

(89·10⁶⁹-71)/9 =

9(8)₆₈1_<70>

= 223 · 14653 · 1106809249477_<13> · 4101463495976771571257053_<25> · 666660086208009692377798379_<27>

(89·10⁷⁰-71)/9 =

9(8)₆₉1_<71>

= 19 · 3453801120387136747_<19> · 8806650809415214879_<19> · 171114098522460257275731322325023_<33>

(89·10⁷¹-71)/9 =

9(8)₇₀1_<72>

= 3 · 17 · 1913359559_<10> · 3764040257_<10> · 2692318720913818707246537571001619324219740399116637_<52>

(89·10⁷²-71)/9 =

9(8)₇₁1_<73>

= 5667256500706855888189226699_<28> · 1744916413727786001471324714444154613733698419_<46>

(89·10⁷³-71)/9 =

9(8)₇₂1_<74>

= 7 · 13 · 41 · 2927 · 54367 · 429648639367722813611_<21> · 387659754046858283233041157399656174397649_<42>

(89·10⁷⁴-71)/9 =

9(8)₇₃1_<75>

= 3² · 1183613379732034859_<19> · 68855427244082384281_<20> · 1348208138730045150139933825213270771_<37>

(89·10⁷⁵-71)/9 =

9(8)₇₄1_<76>

= 29 · 15541 · 154511764829_<12> · 4244480022821_<13> · 17980419888083981_<17> · 1860735582160107124155167095301_<31>

(89·10⁷⁶-71)/9 =

9(8)₇₅1_<77>

= 43 · 523 · 610240290166022429_<18> · 2407009779383063536501_<22> · 2993633431111933273678277343568601_<34>

(89·10⁷⁷-71)/9 =

9(8)₇₆1_<78>

= 3 · 41378353 · 80564965740432497531_<20> · 143019319179207097273_<21> · 691372512853735359678926352793_<30>

(89·10⁷⁸-71)/9 =

9(8)₇₇1_<79>

= 41 · 197 · 541 · 41467 · 53101 · 41408831 · 278677543 · 89063526992788313042672703106996804674459859903_<47>

(89·10⁷⁹-71)/9 =

9(8)₇₈1_<80>

= 7 · 13 · 60509 · 17959164532401571519719233282504861939326233893984146012769853851345860799_<74>

(89·10⁸⁰-71)/9 =

9(8)₇₉1_<81>

= 3 · 113 · 3323 · 1642811 · 26855176232345909711245039791781_<32> · 19897652818367191116600538719660889703_<38> (Makoto Kamada / msieve 0.81 / 2.2 minutes)

(89·10⁸¹-71)/9 =

9(8)₈₀1_<82>

= 3967 · 15312259 · 73657873 · 1362092261_<10> · 34144698810635617_<17> · 47522255515029236021763932493274628977_<38>

(89·10⁸²-71)/9 =

9(8)₈₁1_<83>

= 321109 · 652543 · 4301090669_<10> · 1813698909226715699_<19> · 60498149988531702496454264566977902727642373_<44>

(89·10⁸³-71)/9 =

9(8)₈₂1_<84>

= 3² · 41 · 67 · 9539 · 4193179747627992775271907647686736538016562177079664610242272253235898366073_<76>

(89·10⁸⁴-71)/9 =

9(8)₈₃1_<85>

= 57113099 · 173145724221494072469940545318489702141515537248099405162533535238367802260019_<78>

(89·10⁸⁵-71)/9 =

9(8)₈₄1_<86>

= 7 · 13 · 178329760013_<12> · 6093716980339503458885816600244238960920016828369681383061835717780828207_<73>

(89·10⁸⁶-71)/9 =

9(8)₈₅1_<87>

= 3 · 321427 · 766769 · 1337455500864880949490837973048041978293913873996776467595937127909552558729_<76>

(89·10⁸⁷-71)/9 =

9(8)₈₆1_<88>

= 17 · 23 · 308801 · 1127957 · 6411618569_<10> · 196282516039451_<15> · 57696597640260935522318897568532439295522373316777_<50>

(89·10⁸⁸-71)/9 =

9(8)₈₇1_<89>

= 19 · 41 · 16011169 · 7928426381415677005562801820576531440150642711748096526083209762819544548763731_<79>

(89·10⁸⁹-71)/9 =

9(8)₈₈1_<90>

= 3 · 467 · 4579526416685989_<16> · 154130573142892896961454758900001597432509802547847900754962741982716229_<72>

(89·10⁹⁰-71)/9 =

9(8)₈₉1_<91>

= definitely prime number

(89·10⁹¹-71)/9 =

9(8)₉₀1_<92>

= 7 · 13 · 2063 · 14627 · 31873 · 19756917337_<11> · 53023447400579563_<17> · 1078553094936785128668524274778281442268136434254357_<52>

(89·10⁹²-71)/9 =

9(8)₉₁1_<93>

= 3⁵ · 3041 · 780538471 · 640144425247_<12> · 135201836675601524478794902061_<30> · 19809336572342472101937313617107961391_<38> (Makoto Kamada / msieve 0.81 / 1.4 minutes)

(89·10⁹³-71)/9 =

9(8)₉₂1_<94>

= 41 · 131 · 241 · 276612607084851887_<18> · 27618706337495185810897911910538685112742201437135127132271814834049533_<71>

(89·10⁹⁴-71)/9 =

9(8)₉₃1_<95>

= 157 · 331 · 1120907 · 1697658255437150612867276526951607192267408379285488670268867705705686255893356425549_<85>

(89·10⁹⁵-71)/9 =

9(8)₉₄1_<96>

= 3 · 731238379385250571_<18> · 450782725472845192722412856476608747821584268059553373408303601251630217163537_<78>

(89·10⁹⁶-71)/9 =

9(8)₉₅1_<97>

= 122416690440045967225979083_<27> · 1412217344329754815430751427329613_<34> · 57201224013085766866622661194855413439_<38> (Makoto Kamada / GGNFS-0.71.4)

(89·10⁹⁷-71)/9 =

9(8)₉₆1_<98>

= 7⁴ · 13 · 43 · 1237 · 4707108828077_<13> · 255456494815283_<15> · 1221430137225253_<16> · 40554029251419008122403754670515633377966084209_<47>

(89·10⁹⁸-71)/9 =

9(8)₉₇1_<99>

= 3 · 41 · 97453380161_<11> · 82498391034308579992026779969989015998171697403764792787394099629757470668714486551427_<86>

(89·10⁹⁹-71)/9 =

9(8)₉₈1_<100>

= 479 · 41940589 · 4366415439063140823106082947959242618783363_<43> · 112733347882768060678237014363250918268733953177_<48> (Makoto Kamada / GGNFS-0.71.4 / 0.45 hours)

(89·10¹⁰⁰-71)/9 =

9(8)₉₉1_<101>

= 342037 · 114238741 · 4394931567311_<13> · 413678831342794799_<18> · 1392020353596018954718724701862423962934705418690240935737_<58>

(89·10¹⁰¹-71)/9 =

9(8)₁₀₀1_<102>

= 3² · 166455651521921_<15> · 35421883051004063_<17> · 121549327751050811_<18> · 153314148996940322955337399789409428516088163594843253_<54>

(89·10¹⁰²-71)/9 =

9(8)₁₀₁1_<103>

= 457 · 237862057 · 611212099 · 465003144707_<12> · 510622563743_<12> · 75144987977309_<14> · 6153301109456629_<16> · 1355657888738436640210828685671_<31>

(89·10¹⁰³-71)/9 =

9(8)₁₀₂1_<104>

= 7 · 13 · 17² · 29 · 41 · 97 · 1993 · 26991661 · 947910670055263753182288400100837033_<36> · 639367198507104886240143026807614791765325071827_<48> (Sinkiti Sibata / Msieve 1.42 for P36 x P48 / Oct 19, 2010)

(89·10¹⁰⁴-71)/9 =

9(8)₁₀₃1_<105>

= 3 · 83 · 1744619032265093_<16> · 63443716481045405564945653_<26> · 2764480547207023952338144598677_<31> · 12979124256869614369330425083693_<32> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1067429312 for P31 / Oct 16, 2010)

(89·10¹⁰⁵-71)/9 =

9(8)₁₀₄1_<106>

= 653 · 15143780840564914071805342862004424025863535817594010549600136123872724179002892632295388803811468436277_<104>

(89·10¹⁰⁶-71)/9 =

9(8)₁₀₅1_<107>

= 19 · 225829 · 392229367 · 1691924747_<10> · 3099896015899_<13> · 11203298544122769318504648794104645413929796830997581198803657188215681_<71>

(89·10¹⁰⁷-71)/9 =

9(8)₁₀₆1_<108>

= 3 · 59 · 12497 · 20021 · 39667 · 1177913262709_<13> · 477903297849341100574721007354692943163215898615438357130623310766882377197567523_<81>

(89·10¹⁰⁸-71)/9 =

9(8)₁₀₇1_<109>

= 41 · 37951 · 523997 · 755964322363_<12> · 1170941748337_<13> · 1790732006556922387403_<22> · 7651462075256121297295835818479798398281735492392571_<52>

(89·10¹⁰⁹-71)/9 =

9(8)₁₀₈1_<110>

= 7 · 13 · 23 · 4220268272173363_<16> · 980236596553423739_<18> · 11421083255128661920376677558499448485754299672199125475235057497253096981_<74>

(89·10¹¹⁰-71)/9 =

9(8)₁₀₉1_<111>

= 3² · 109 · 36277 · 24089535287_<11> · 115027582956303377_<18> · 10028055030905547507783899152259159728653023215022832664634400630859308159487_<77>

(89·10¹¹¹-71)/9 =

9(8)₁₁₀1_<112>

= definitely prime number

(89·10¹¹²-71)/9 =

9(8)₁₁₁1_<113>

= 26648509 · 16008188760649_<14> · 231810116675167279780399024400477236732301301613775049634065585285857072495633254321833326941_<93>

(89·10¹¹³-71)/9 =

9(8)₁₁₂1_<114>

= 3 · 41 · 413904077 · 16581259153419291183217316272470001_<35> · 1171453824103539785585235686436340026390560650663863729886230803963711_<70> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 19, 2010)

(89·10¹¹⁴-71)/9 =

9(8)₁₁₃1_<115>

= 47 · 107750838201319652318931997_<27> · 1952670575609297083770655053638103728106001207933945437477358467351471099434544854586859_<88>

(89·10¹¹⁵-71)/9 =

9(8)₁₁₄1_<116>

= 7 · 13 · 307 · 2072701 · 401572505029_<12> · 3376692286865621664181616559883913_<34> · 1259434590005745495233076139333092311040207166408808871689369_<61> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1710069934 for P34 / Oct 16, 2010)

(89·10¹¹⁶-71)/9 =

9(8)₁₁₅1_<117>

= 3 · 67 · 2371 · 125107 · 6099419 · 11878501 · 190328348797351_<15> · 1202775820928532925783863232108804133202161394442448423190590784294594715021217_<79>

(89·10¹¹⁷-71)/9 =

9(8)₁₁₆1_<118>

= 151 · 80917 · 27057374449548820180861_<23> · 29911977472374678222628646801868530323134433466422290652575503214779914044780537864078263_<89>

(89·10¹¹⁸-71)/9 =

9(8)₁₁₇1_<119>

= 41 · 43 · 22158630816072769_<17> · 35515030642919015680876292801_<29> · 388591231793449184795252031359567_<33> · 183420161912189995462902802383710322869_<39> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2475828309 for P33 / Oct 16, 2010)

(89·10¹¹⁹-71)/9 =

9(8)₁₁₈1_<120>

= 3³ · 17 · 148398068405837877014541541311935743040772207509_<48> · 14517992362482227705284855216022195770659984871727815089321217628299751_<71> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 19, 2010)

(89·10¹²⁰-71)/9 =

9(8)₁₁₉1_<121>

= 15955861 · 5389958847109_<13> · 351490604767190822909_<21> · 46026560462338681362593341_<26> · 7107544068664040207230836642436885493541853692046843201_<55>

(89·10¹²¹-71)/9 =

9(8)₁₂₀1_<122>

= 7 · 13 · 5779 · 1287799 · 20460653 · 207419950379682707166413258866356047331503_<42> · 34406089188737938193039693567512190116050961849933480193507869_<62> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 19, 2010)

(89·10¹²²-71)/9 =

9(8)₁₂₁1_<123>

= 3 · 487 · 182130361702144998114079329822281898094885231_<45> · 3716335647620288254813602632581317336900436958117674547694473042251416884291_<76> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 19, 2010)

(89·10¹²³-71)/9 =

9(8)₁₂₂1_<124>

= 41 · 241 · 38699 · 251063 · 136507618249010142298313299_<27> · 52529225307410474726168451029417_<32> · 14365020692588705399948689373784822559165640898610631_<53> (Sinkiti Sibata / Msieve 1.42 for P32 x P53 / Oct 19, 2010)

(89·10¹²⁴-71)/9 =

9(8)₁₂₃1_<125>

= 19 · 61 · 725206673 · 8966264243099_<13> · 360659061153511623319_<21> · 36382613099956185871939275699229509412286424060819752118312211364662802906001043_<80>

(89·10¹²⁵-71)/9 =

9(8)₁₂₄1_<126>

= 3 · 1451 · 13691 · 149194117697_<12> · 74387000655336401_<17> · 36822897481085347238561_<23> · 40602890543200728755268824758764278136701260618955431215923538064691_<68>

(89·10¹²⁶-71)/9 =

9(8)₁₂₅1_<127>

= 49955376431_<11> · 197954446455783306814591559711209593405073242393417705780572199025431639408095983583418929014473446934937157913313951_<117>

(89·10¹²⁷-71)/9 =

9(8)₁₂₆1_<128>

= 7 · 13 · 12379 · 237412963 · 2847891593_<10> · 268205097286989353_<18> · 484089466492959129038985723457560153758202580132945482967563490514063095799738655841027_<87>

(89·10¹²⁸-71)/9 =

9(8)₁₂₇1_<129>

= 3² · 41 · 373 · 7184760557763456693250280730391456431692705369115055463929676532392371883206469836518442634530605061784904414429905395270813_<124>

(89·10¹²⁹-71)/9 =

9(8)₁₂₈1_<130>

= 3659 · 24222403 · 629225881931_<12> · 177321454156876018914197711555550652864473964478811920829345005195496867604151487930930901566759947571689363_<108>

(89·10¹³⁰-71)/9 =

9(8)₁₂₉1_<131>

= 28597 · 3745282225969_<13> · 18844851123031_<14> · 312391476672817_<15> · 3228777163083541973_<19> · 20548533160338374469919971896941_<32> · 2363914077937421441443068982355108747_<37> (Makoto Kamada / Msieve 1.48 for P32 x P37 / Oct 19, 2010)

(89·10¹³¹-71)/9 =

9(8)₁₃₀1_<132>

= 3 · 23 · 29² · 229 · 4287197 · 154817617 · 1636362057479_<13> · 282873227625979_<15> · 242215461924910052876781874933604455254093699634530806009705164032085771257022372249_<84>

(89·10¹³²-71)/9 =

9(8)₁₃₁1_<133>

= 149 · 2403426101556095319645735976604388176125342051_<46> · 27614072162091144351757167151803675623718244903415084977436703015371437717905816457519_<86> (Dmitry Domanov / Msieve 1.40 snfs / Oct 20, 2010)

(89·10¹³³-71)/9 =

9(8)₁₃₂1_<134>

= 7 · 13 · 41 · 161071 · 2405763073962113_<16> · 162738274983149289666581173_<27> · 373498272704317578220865435996887_<33> · 1125314027798743047340651493683855333449215917230487_<52> (Sinkiti Sibata / Msieve 1.42 for P33 x P52 / Oct 19, 2010)

(89·10¹³⁴-71)/9 =

9(8)₁₃₃1_<135>

= 3 · 1663 · 21563467 · 2646398865947081519_<19> · 221124282215425766579194737885727082843_<39> · 15708100341005723274949078621728697427286636327550116526262388845011_<68> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 19, 2010)

(89·10¹³⁵-71)/9 =

9(8)₁₃₄1_<136>

= 17 · 167 · 7565872997_<10> · 3534725876556343643_<19> · 101974083686408188523059168473394864393_<39> · 1277254693005086244032735351199903691466181969513342717818295927593_<67> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 19, 2010)

(89·10¹³⁶-71)/9 =

9(8)₁₃₅1_<137>

= 4207397 · 697665146782604940482758018026045779406601836755052631037231_<60> · 33688911325735775086700743781105716312902438395060102431240319249165683_<71> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 19, 2010)

(89·10¹³⁷-71)/9 =

9(8)₁₃₆1_<138>

= 3² · 43885352413804187351933016554630009097088026790047319373823160095157_<68> · 2503717918767692337883915656228517087282757724337709015459736856363237_<70> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)

(89·10¹³⁸-71)/9 =

9(8)₁₃₇1_<139>

= 41 · 193 · 15709288769_<11> · 523513013295011_<15> · 435460875880673363361342539185956169_<36> · 348958020792813824326565399227822749839958929381481701146601641691367479947_<75> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 19, 2010)

(89·10¹³⁹-71)/9 =

9(8)₁₃₈1_<140>

= 7² · 13 · 43 · 127742933 · 12666242765799583_<17> · 1100940776180393104532631828855938703289907942475432703_<55> · 2026706969782925615160298631086416053822238771273349691123_<58> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)

(89·10¹⁴⁰-71)/9 =

9(8)₁₃₉1_<141>

= 3 · 571 · 5098153016108249900431816114801069140159598969396031737_<55> · 113234109223368955444889898781067756616699460395398785706374855103097557606236851401_<84> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)

(89·10¹⁴¹-71)/9 =

9(8)₁₄₀1_<142>

= 701 · 881 · 1039 · 1931 · 4812674584127363_<16> · 1658323489008900695142281877966613072458150503875760980322175875259397313229979785937132336853651613656194654513403_<115>

(89·10¹⁴²-71)/9 =

9(8)₁₄₁1_<143>

= 19 · 1429 · 4889 · 32899081 · 361642831129279134537677093_<27> · 62614944958565568805038908246729284230111052711942054109974478764830755284178313432968206539214952563_<101>

(89·10¹⁴³-71)/9 =

9(8)₁₄₂1_<144>

= 3 · 41 · 931303 · 300383173 · 167528818524424854919_<21> · 20849085867538065745867353121_<29> · 8228093906493330874018206936320015080336070652679026459256117101521902701449687_<79>

(89·10¹⁴⁴-71)/9 =

9(8)₁₄₃1_<145>

= 2393 · 83656891701527_<14> · 632221731608622167_<18> · 78132847911525019213198046861235754064301060527215332597842888187159017239274585767129442273768914929332816713_<110>

(89·10¹⁴⁵-71)/9 =

9(8)₁₄₄1_<146>

= 7 · 13² · 83 · 269 · 7459 · 5872740813751324473769094207_<28> · 85469455820562347797514080538541784429566414386679598603917737855973010673072597890653853673387114925788957_<107>

(89·10¹⁴⁶-71)/9 =

9(8)₁₄₅1_<147>

= 3³ · 13879 · 16963 · 18097 · 83014002869531_<14> · 103553540755911377995835162314533793543189983637312993075476634957964226994997467175720546439345804169126824373906324277_<120>

(89·10¹⁴⁷-71)/9 =

9(8)₁₄₆1_<148>

= 3977431 · 54456949 · 13876971643320762033158819151501903639723323166443323_<53> · 3290007107189387946179462372870595349991731005811532571842381992735942786055845313_<82> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)

(89·10¹⁴⁸-71)/9 =

9(8)₁₄₇1_<149>

= 41 · 412651 · 120282213767_<12> · 4801758695381394162550129748581_<31> · 12057119967866311966657586516371850128073_<41> · 839335152515654477456556508787147552374222891568863964225921_<60> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)

(89·10¹⁴⁹-71)/9 =

9(8)₁₄₈1_<150>

= 3 · 67 · 283 · 11588787402488556771570961760341435736467835219622316285146527_<62> · 1500123479290990894526644301907977981770276015028724693750194252374790168198262353941_<85> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)

(89·10¹⁵⁰-71)/9 =

9(8)₁₄₉1_<151>

= 191 · 62520734406397610723983_<23> · 828113870829445455756131062100480260243718110110105255476350087843139745998310359180081329364578111210491861540824824487765377_<126>

(89·10¹⁵¹-71)/9 =

9(8)₁₅₀1_<152>

= 7 · 13 · 17 · 1513215733_<10> · 38455025232713_<14> · 4289950094281217_<16> · 42685859197816745387383_<23> · 5998835699526815709344159330022496059737711101421333924671491677283629341951342793559017_<88>

(89·10¹⁵²-71)/9 =

9(8)₁₅₁1_<153>

= 3 · 329629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627_<153>

(89·10¹⁵³-71)/9 =

9(8)₁₅₂1_<154>

= 23 · 41 · 227 · 241 · 42712626114695774295640604203_<29> · 840708582642445052741807382746842817574271954061_<48> · 5338154626190417495309837476941402702586683335175780551167322084558507_<70> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)

(89·10¹⁵⁴-71)/9 =

9(8)₁₅₃1_<155>

= 25244003 · 9503183929_<10> · 9542861672543586139_<19> · 2278701995730523836504211_<25> · 18956317666119898123816611444885801818914804126660454208235605588710591559572477878151701426547_<95>

(89·10¹⁵⁵-71)/9 =

9(8)₁₅₄1_<156>

= 3² · 2051036633_<10> · 10130389851667_<14> · 2378552869444907_<16> · 73670821690679853909770232761048564293079_<41> · 30178461020029433353857336443264259683344600136456547856779203442473503468423_<77> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 20, 2010)

(89·10¹⁵⁶-71)/9 =

9(8)₁₅₅1_<157>

= 484273933499237636459_<21> · 165632710273953939306687082875307_<33> · 38490004953470202622400591500429852513_<38> · 3203039751310708660528885710205005061396081150928260852423572148249_<67> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 21, 2010)

(89·10¹⁵⁷-71)/9 =

9(8)₁₅₆1_<158>

= 7 · 13 · 68687 · 20700269 · 764285406931482750918490836410440323499036016935685687106287792064029596870072418366066223741112588956020924092769171307992420183454796432485697_<144>

(89·10¹⁵⁸-71)/9 =

9(8)₁₅₇1_<159>

= 3 · 41 · 359 · 2543 · 79904609 · 91988035361_<11> · 1020279559849066184138885242776631463319851_<43> · 1174300421279720303795453588725635098826155716220955658040931589339174962753085596509438369_<91> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 21, 2010)

(89·10¹⁵⁹-71)/9 =

9(8)₁₅₈1_<160>

= 29 · 142619 · 243500885535104406599848461713184123037_<39> · 814766483710874985243597202574412356702729741_<45> · 12051425263585303761535788304102809640963117071809848903142991633607543_<71> (Serge Batalov / GMP-ECM B1=2000000, sigma=2991453799 for P39 / Oct 19, 2010) (Sinkiti Sibata / Msieve 1.40 snfs / Oct 23, 2010)

(89·10¹⁶⁰-71)/9 =

9(8)₁₅₉1_<161>

= 19 · 43 · 47 · 1823 · 3001 · 17830759840652843327892451534384146817_<38> · 580341833971162898902916945094185758512689_<42> · 45490550266897293266367527127408153460063608238053517459637976926672681_<71> (Dmitry Domanov / Msieve 1.40 snfs / Oct 25, 2010)

(89·10¹⁶¹-71)/9 =

9(8)₁₆₀1_<162>

= 3 · 5462841823260752902840257868435780876248909568235941833170248034981616478002499_<79> · 60340321080882908029511182327817914808388392557130340983225314188067425528046552873_<83> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 20, 2010)

(89·10¹⁶²-71)/9 =

9(8)₁₆₁1_<163>

= 2011 · 2047814407907_<13> · 2401291216784693741657481987734063958390373387380711757065011273998982776132662431564260714263279020676280672272470534637156287896575666883043972353_<148>

(89·10¹⁶³-71)/9 =

9(8)₁₆₂1_<164>

= 7 · 13 · 41 · 9497 · 115040103661374294017_<21> · 7662168825591844337095447_<25> · 27926387888266904343889983723231446088457_<41> · 113375721282131592873483506383083835696492605883348750721631351204148781_<72> (Dmitry Domanov / Msieve 1.40 gnfs for P41 x P72 / Oct 23, 2010)

(89·10¹⁶⁴-71)/9 =

9(8)₁₆₃1_<165>

= 3² · 9587673451_<10> · 6876828686647_<13> · 1666493209718033389327658195467995597783044290356731612198560092768486002094379110591234535931269288891326859822044359353033963715919087656797_<142>

(89·10¹⁶⁵-71)/9 =

9(8)₁₆₄1_<166>

= 59 · 941 · 46686929 · 228280159 · 14407493295097909_<17> · 1159989243410457307505623511952471761794389393430910313592540087488523347697125074703833140653408524773205667828978553306394384701_<130>

(89·10¹⁶⁶-71)/9 =

9(8)₁₆₅1_<167>

= 16505769785089609819939441485502662492408991_<44> · 5991170976964648191742405247204171388761421722857710432694366824570298631830435313171291365992198940231134395560270558847791_<124> (Ignacio Santos / GGNFS, Msieve snfs / Oct 23, 2010)

(89·10¹⁶⁷-71)/9 =

9(8)₁₆₆1_<168>

= 3 · 17 · 8707 · 18034575006581980544299785954972065455162943858127607930239729671887033728703_<77> · 123481775162264651985143441875348335665097001786375666838133993437231097323169196123111_<87> (Ignacio Santos / GGNFS, Msieve snfs / Oct 22, 2010)

(89·10¹⁶⁸-71)/9 =

9(8)₁₆₇1_<169>

= 41 · 1991239 · 5245973 · 12634696874120666550031531760036057591_<38> · 282218517357914152733206557641220126679878270072916991_<54> · 6475359234262448721352391748837604924229284931157516076546871963_<64> (Ignacio Santos / GMP-ECM 6.3 B1=3000000, sigma=772779960 for P38 / Nov 29, 2010) (Markus Tervooren / Msieve 1.48 for P54 x P64 / Nov 30, 2010)

(89·10¹⁶⁹-71)/9 =

9(8)₁₆₈1_<170>

= 7 · 13 · 773 · 60217488935625231361_<20> · 2054307875299559129754507713983569194334656494568858738605286851_<64> · 11364188750516851434166988605614017968250383502584464381655198538773121024382973997_<83> (Wataru Sakai / Oct 23, 2010)

(89·10¹⁷⁰-71)/9 =

9(8)₁₆₉1_<171>

= 3 · 3830558699977285511_<19> · 86052624550978495910639343710939188057689594208916561253245519658042128737043374723474094068133940874245112933563534904363380797170895121578421225600557_<152>

(89·10¹⁷¹-71)/9 =

9(8)₁₇₀1_<172>

= 170168561424894459855821767775808953651009841734593_<51> · 573473812372185579058209554680355320204677802363831631401333_<60> · 101333858375254279750767395271830677535485171230073503105099149_<63> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 24, 2010)

(89·10¹⁷²-71)/9 =

9(8)₁₇₁1_<173>

= 157 · 443 · 607 · 1913100353_<10> · 13070034983725771678781851945137041381186481221210813_<53> · 93678715168297169604736726487712674913378701571193587650325692942628925874204582709728229950593105832597_<104> (Ignacio Santos / GGNFS, Msieve snfs / Nov 10, 2010)

(89·10¹⁷³-71)/9 =

9(8)₁₇₂1_<174>

= 3⁴ · 41 · 2901772860953147_<16> · 12233096799464403243738140019772598771961386007441683468093829815888219_<71> · 8388393493406238464984576185473278801953577949247553907160606165972413172579463928577_<85> (Robert Backstrom / Msieve 1.44 snfs / Jan 8, 2012)

(89·10¹⁷⁴-71)/9 =

9(8)₁₇₃1_<175>

= 431 · 15396022018049_<14> · 661848018372766128537122171654020120388157357761_<48> · 2251663203369004628908660564181069214282294357647560162087354638025152943964751110228800229944326521890004008159_<112> (Dmitry Domanov / Msieve 1.47 for P48 x P112 / Dec 1, 2010)

(89·10¹⁷⁵-71)/9 =

9(8)₁₇₄1_<176>

= 7 · 13 · 23 · 20183011201415504111162711089259_<32> · [2340950915613263506897013851927368541117138206950645059582981150391469438021206583373683897306947567354738275493338403467694636405244055787263_<142>] (Serge Batalov / GMP-ECM B1=1500000, sigma=836667898 for P32 / Oct 19, 2010) SUBMIT/RESERVE

(89·10¹⁷⁶-71)/9 =

9(8)₁₇₅1_<177>

= 3 · 197 · 1493 · 5406293 · 56568997 · 999787573 · 3665341268635024923315271581214309792486875515842791407640807172944950578609051674848653776170143205661831181049157779444829090971325770161988241439_<148>

(89·10¹⁷⁷-71)/9 =

9(8)₁₇₆1_<178>

= 6121 · 750978457 · 1107457898231_<13> · 11007772640407416473_<20> · 1345125629384896131902585150315733869171_<40> · 1784443045130794610941446918025843230124801_<43> · 73519987529354076721192065761287738175965837900238101_<53> (Ignacio Santos / GMP-ECM 6.3 B1=11000000, sigma=3077697143 for P40 / Jul 21, 2011) (Warut Roonguthai / Msieve 1.48 gnfs for P43 x P53 / Jul 23, 2011)

(89·10¹⁷⁸-71)/9 =

9(8)₁₇₇1_<179>

= 19 · 41 · 1973 · 356537010830795571825687740811402499826297_<42> · 180458912228973226127042286765876974521207908229973635468655665428004334538572050274337789851322232534633514994293837308479721993919_<132> (Robert Backstrom / Msieve 1.44 snfs / Oct 21, 2010)

(89·10¹⁷⁹-71)/9 =

9(8)₁₇₈1_<180>

= 3 · 34219061 · 148673796687853772057_<21> · 64792348567099847054096101980184683651614007348047170893547002966995455821587364272996625156788280023143526771918513354830543529605400968042578044674951_<152>

(89·10¹⁸⁰-71)/9 =

9(8)₁₇₉1_<181>

= 16522928079276134618941_<23> · 598494942388087829673741843048561663639077520440363057179493161284669158460847120945217770627967413551087791118781029831308683816489116848372042897850711630341_<159>

(89·10¹⁸¹-71)/9 =

9(8)₁₈₀1_<182>

= 7² · 13 · 43 · 929 · 2707 · 1155212118825712077961669_<25> · [1242721761157545177251805285358297201739181181433542552877674883511210342409836058966846456402147249867011536675264096526920573190069892766404104113_<148>] SUBMIT/RESERVE

(89·10¹⁸²-71)/9 =

9(8)₁₈₁1_<183>

= 3² · 67 · 3361 · 19056344513_<11> · [25604840623561559104426036885849375999161401244139164460628254319230723317947138559112455909844120966365322867941371047970105547154506268174008724342181869547931487939_<167>] SUBMIT/RESERVE

(89·10¹⁸³-71)/9 =

9(8)₁₈₂1_<184>

= 17 · 41 · 241 · 29833 · 1973334680163963426939717287017339263842698148823687495605933817463073317222451194342544085607525795017037697240469907979913278800472898853756842420850579595808286985504741441_<175>

(89·10¹⁸⁴-71)/9 =

9(8)₁₈₃1_<185>

= 61 · 899981 · 3338897 · 5449811 · [98991945188206497471519808357752070716101457013750733938892702450777141660880219242794384482880270847415548326872674417124076051519621883237862291014537117849867123_<164>] SUBMIT/RESERVE

(89·10¹⁸⁵-71)/9 =

9(8)₁₈₄1_<186>

= 3 · 13209229063975906177_<20> · 13833309332302089856169_<23> · 1553610145450230597466250231489_<31> · 2330158071801916109979253282025940500414959505929429_<52> · 498305006439800543407109840178524115173771669811804851636125559_<63> (Serge Batalov / GMP-ECM B1=1500000, sigma=4078724036 for P31 / Oct 19, 2010) (Erik Branger / GGNFS, Msieve gnfs for P52 x P63 / Oct 23, 2010)

(89·10¹⁸⁶-71)/9 =

9(8)₁₈₅1_<187>

= 83 · 691 · 2327953 · 3847303 · 860801228493293787881_<21> · 22364432390906889759842952705873450035706811088105782319043064489162170483360618591300690301108328361994352091819065626855989089531043466204248033863_<149>

(89·10¹⁸⁷-71)/9 =

9(8)₁₈₆1_<188>

= 7 · 13 · 29 · 257 · 11551 · 61463 · 2474897 · 1198408045709268942221_<22> · 69243625717073945007407144881889727701252639557624261027161941739585354489256532773852281752898378575114123767388688060754072944167378987529479987_<146>

(89·10¹⁸⁸-71)/9 =

9(8)₁₈₇1_<189>

= 3 · 41 · 419 · 62551733 · 7141728196460866823061509813_<28> · 42952228255406214027662687332911754506520720113957976816327261345350419244672833635104007683245285790310589208727833088779305838479882989565563667497_<149> (Serge Batalov / GMP-ECM B1=1500000, sigma=1153394884 for P28 / Oct 19, 2010)

(89·10¹⁸⁹-71)/9 =

9(8)₁₈₈1_<190>

= 263 · 1249 · 10141044230207523913724785779747975583129574792071_<50> · 194482253570162655121104922156753000245099377953523137_<54> · 15263940174062666125041895478374847022659086781744427812404395353647881789035417569_<83> (Robert Backstrom / Msieve 1.44 snfs / Oct 21, 2010)

(89·10¹⁹⁰-71)/9 =

9(8)₁₈₉1_<191>

= 53353 · 415087430753478823_<18> · 779119192140861369749929_<24> · 5731194764861672153015821204545732526528559581852045350275058608351464928650645733512552330367606533259989642655984794870509138269163104241394231_<145>

(89·10¹⁹¹-71)/9 =

9(8)₁₉₀1_<192>

= 3² · 15511 · 735763187 · 1828771581110345285657_<22> · [5264627779453240753568069427037144528907742885125237802630267362029119760767964776928587052507023413661232483694643302253440125915341139173930761840484361741_<157>] SUBMIT/RESERVE

(89·10¹⁹²-71)/9 =

9(8)₁₉₁1_<193>

= 113 · 151 · 579551596371616297772307852598540050922398692427409534600532666523406721496154772835309669395117440595961371909329478338445108649644780454134026190522703445401681350811046644135784380758887_<189>

(89·10¹⁹³-71)/9 =

9(8)₁₉₂1_<194>

= 7 · 13 · 41² · 9013 · 232858658346833201_<18> · 1349259843924161698304538125672983_<34> · 4733533513558852141839120748700001780575845470278104418991233_<61> · 48227591975417263864305387969786869776157994090610244734924273416413415073_<74> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=780034254 for P34 / Oct 18, 2010) (Erik Branger / GGNFS, Msieve gnfs for P61 x P74 / Dec 3, 2011)

(89·10¹⁹⁴-71)/9 =

9(8)₁₉₃1_<195>

= 3 · 381935593189_<12> · [863050303527257597756745189374389594629558382752358708001937472785531793244428310472841107925394793545020596311956547413662601925784376596858262573143891313909133813828142848200352543_<183>] SUBMIT/RESERVE

(89·10¹⁹⁵-71)/9 =

9(8)₁₉₄1_<196>

= 210520079961691690107727_<24> · 7822115740237150073931674232077829499_<37> · [6005231212262799146548616777283666031437424811703651282855037710939702341312986122211909371933343860691055529084186294236932460272552397_<136>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=864307133 for P37 / Oct 18, 2010) SUBMIT/RESERVE

(89·10¹⁹⁶-71)/9 =

9(8)₁₉₅1_<197>

= 19 · 30181 · 815081723 · 13846937227417784360975678453917_<32> · 15279368061836244401650836908621453755116781710803597445588803237760198266760631635101599426002451865460546150891933800527270601005952378175715778049569_<152> (Serge Batalov / GMP-ECM B1=1500000, sigma=2410075069 for P32 / Oct 19, 2010)

(89·10¹⁹⁷-71)/9 =

9(8)₁₉₆1_<198>

= 3 · 23 · 179 · 224677 · 2225166093838253726912502185210715471875183722574591_<52> · 691701832676742722489966822227314751942766537588554469_<54> · 231529001644994557584664775258308084087611736065528490523692046002650475435708079257_<84> (matsui / Msieve 1.49 snfs / May 15, 2011)

(89·10¹⁹⁸-71)/9 =

9(8)₁₉₇1_<199>

= 41 · 2753 · 11443 · 585973379011_<12> · 3093068197507_<13> · 506721692915507_<15> · 8336440450342231469069213870723218853925621991941054301811525208908129268687059648162054868997513995614212199184322620479423061178237850432046599622361_<151>

(89·10¹⁹⁹-71)/9 =

9(8)₁₉₈1_<200>

= 7 · 13 · 17 · 97 · 659000052571914306298781738442138684709940016186226010361850264821762699264215334560998599810000659000052571914306298781738442138684709940016186226010361850264821762699264215334560998599810000659_<195>

(89·10²⁰⁰-71)/9 =

9(8)₁₉₉1_<201>

= 3³ · 8783 · 112886622817091048033_<21> · [36940125763392062684020599206434061124685712100421586365247796802017388230689523061121615172456251466044652302411283425990435245848079032470520945045262384909303616217448699277_<176>] SUBMIT/RESERVE

4. References

• A103107 - OEIS (The OEIS Foundation Inc.)