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Factorizations of 988...889

Table of contents

  1. About 988...889
  2. Prime numbers of the form 988...889
  3. Factorizations of 988...889
  4. References

1. About 988...889

First ten terms

99, 989, 9889, 98889, 988889, 9888889, 98888889, 988888889, 9888888889, 98888888889

General term

(89·10n+1)/9

2. Prime numbers of the form 988...889

Last update

Jan 18, 2009

Searched up to

n≤50000

Difficulty of search

8.36%

Results

  1. (89·106+1)/9 = 9888889 is prime. (Jean Claude Rosa / Oct 15, 2002)
  2. (89·1072+1)/9 = 9(8)719<73> is prime. (Jean Claude Rosa / Oct 15, 2002)
  3. (89·1096+1)/9 = 9(8)959<97> is prime. (Jean Claude Rosa / Oct 15, 2002)
  4. (89·10114+1)/9 = 9(8)1139<115> is prime. (Jean Claude Rosa / Oct 15, 2002)
  5. (89·10204+1)/9 = 9(8)2039<205> is prime. (Jean Claude Rosa / Oct 15, 2002)
  6. (89·10984+1)/9 = 9(8)9839<985> is prime. (Patrick De Geest / Dec 4, 2002)
  7. (89·101226+1)/9 = 9(8)12259<1227> is prime. (Patrick De Geest / Jul 1, 2003)
  8. (89·104794+1)/9 = 9(8)47939<4795> is PRP. (Patrick De Geest / Dec 4, 2002)
  9. (89·1020720+1)/9 = 9(8)207199<20721> is PRP. (Patrick De Geest / Apr 5, 2003)

3. Factorizations of 988...889

Last update

Oct 23, 2009

Completed up to

Range

n≤200

Terms which have not been factored yet

n=176, 182, 184, 188, 192, 195, 196, 198, 200 (9/200)

Results

(89·101+1)/9 =
99
= 32 · 11
(89·102+1)/9 =
989
= 23 · 43
(89·103+1)/9 =
9889
= 11 · 29 · 31
(89·104+1)/9 =
98889
= 3 · 7 · 17 · 277
(89·105+1)/9 =
988889
= 11 · 89899
(89·106+1)/9 =
9888889
= definitely prime number
(89·107+1)/9 =
98888889
= 3 · 11 · 2996633
(89·108+1)/9 =
988888889
= 103 · 163 · 58901
(89·109+1)/9 =
9888888889<10>
= 11 · 898989899
(89·1010+1)/9 =
98888888889<11>
= 32 · 7 · 28843 · 54421
(89·1011+1)/9 =
988888888889<12>
= 11 · 151 · 17729 · 33581
(89·1012+1)/9 =
9888888888889<13>
= 25321 · 390541009
(89·1013+1)/9 =
98888888888889<14>
= 3 · 11 · 131 · 659 · 34711777
(89·1014+1)/9 =
988888888888889<15>
= 19 · 109 · 477493427759<12>
(89·1015+1)/9 =
9888888888888889<16>
= 11 · 193 · 1498697 · 3108019
(89·1016+1)/9 =
98888888888888889<17>
= 3 · 72 · 13581107 · 49533041
(89·1017+1)/9 =
988888888888888889<18>
= 11 · 1187 · 2713 · 27916071329<11>
(89·1018+1)/9 =
9888888888888888889<19>
= 31 · 33454207 · 9535315417<10>
(89·1019+1)/9 =
98888888888888888889<20>
= 34 · 112 · 229 · 547 · 883 · 9277 · 9833
(89·1020+1)/9 =
988888888888888888889<21>
= 17 · 383 · 6491 · 51421 · 455038009
(89·1021+1)/9 =
9888888888888888888889<22>
= 11 · 140519693 · 6397607906743<13>
(89·1022+1)/9 =
98888888888888888888889<23>
= 3 · 7 · 127 · 13765123 · 2693669972729<13>
(89·1023+1)/9 =
988888888888888888888889<24>
= 11 · 43 · 157 · 38317 · 40841 · 8509398017<10>
(89·1024+1)/9 =
9888888888888888888888889<25>
= 23 · 1613279 · 2819023 · 94539121279<11>
(89·1025+1)/9 =
98888888888888888888888889<26>
= 3 · 11 · 320107 · 8469401 · 1105314049219<13>
(89·1026+1)/9 =
988888888888888888888888889<27>
= 15090452766973<14> · 65530763334893<14>
(89·1027+1)/9 =
9888888888888888888888888889<28>
= 11 · 173 · 691637 · 132211553 · 56827831483<11>
(89·1028+1)/9 =
98888888888888888888888888889<29>
= 32 · 7 · 134371 · 11681574915705296020493<23>
(89·1029+1)/9 =
988888888888888888888888888889<30>
= 11 · 47 · 1912744465935955297657425317<28>
(89·1030+1)/9 =
9888888888888888888888888888889<31>
= 97 · 1307 · 52291 · 1491671623544685833801<22>
(89·1031+1)/9 =
98888888888888888888888888888889<32>
= 3 · 11 · 29 · 3910607633<10> · 26423559199780639069<20>
(89·1032+1)/9 =
988888888888888888888888888888889<33>
= 19 · 1193603 · 2572565321449<13> · 16949917299673<14>
(89·1033+1)/9 =
9888888888888888888888888888888889<34>
= 11 · 31 · 61 · 140191903073<12> · 3391098087843850393<19>
(89·1034+1)/9 =
98888888888888888888888888888888889<35>
= 3 · 7 · 83 · 766050587 · 74061526712183624655829<23>
(89·1035+1)/9 =
988888888888888888888888888888888889<36>
= 11 · 359 · 144027848858921<15> · 1738656903023660341<19>
(89·1036+1)/9 =
9888888888888888888888888888888888889<37>
= 17 · 1783 · 36749 · 1062219071<10> · 8357716057820201381<19>
(89·1037+1)/9 =
98888888888888888888888888888888888889<38>
= 32 · 11 · 15845051 · 773284203163<12> · 81522881693673547<17>
(89·1038+1)/9 =
988888888888888888888888888888888888889<39>
= 1116337 · 885833658553724268647271288946697<33>
(89·1039+1)/9 =
9888888888888888888888888888888888888889<40>
= 11 · 12829 · 21630209 · 3239673855608997089760135559<28>
(89·1040+1)/9 =
98888888888888888888888888888888888888889<41>
= 3 · 7 · 509 · 1106442193<10> · 43545524909<11> · 192016328478273773<18>
(89·1041+1)/9 =
988888888888888888888888888888888888888889<42>
= 112 · 14593 · 54986518061179847<17> · 10185006838020359479<20>
(89·1042+1)/9 =
9888888888888888888888888888888888888888889<43>
= 103 · 25686281 · 1474593283<10> · 2534759689672821625389581<25>
(89·1043+1)/9 =
98888888888888888888888888888888888888888889<44>
= 3 · 11 · 7670027 · 63745027 · 27290862175333<14> · 224581045355269<15>
(89·1044+1)/9 =
988888888888888888888888888888888888888888889<45>
= 43 · 4811385720030056891<19> · 4779790554919003455331153<25>
(89·1045+1)/9 =
9888888888888888888888888888888888888888888889<46>
= 11 · 5465724499<10> · 46736842721<11> · 3519230430521902100030281<25>
(89·1046+1)/9 =
98888888888888888888888888888888888888888888889<47>
= 33 · 7 · 23 · 6571 · 6577 · 3477285599<10> · 151376404632810557116770239<27>
(89·1047+1)/9 =
988888888888888888888888888888888888888888888889<48>
= 11 · 40051889 · 41373017914634689<17> · 54251856821539777777019<23>
(89·1048+1)/9 =
9888888888888888888888888888888888888888888888889<49>
= 31 · 156587646503<12> · 2037174853154829135496019369592038273<37>
(89·1049+1)/9 =
98888888888888888888888888888888888888888888888889<50>
= 3 · 11 · 20147 · 148738422426812757879417928060405848662164739<45>
(89·1050+1)/9 =
988888888888888888888888888888888888888888888888889<51>
= 19 · 52046783625730994152046783625730994152046783625731<50>
(89·1051+1)/9 =
9888888888888888888888888888888888888888888888888889<52>
= 11 · 371960063 · 2416898985711535891150200980017306293173173<43>
(89·1052+1)/9 =
98888888888888888888888888888888888888888888888888889<53>
= 3 · 7 · 17 · 3253 · 5087 · 449775343 · 1707806501<10> · 21792104576000909387254349<26>
(89·1053+1)/9 =
988888888888888888888888888888888888888888888888888889<54>
= 11 · 89898989898989898989898989898989898989898989898989899<53>
(89·1054+1)/9 =
9888888888888888888888888888888888888888888888888888889<55>
= 59 · 546203093 · 306860741728450902353675349370237771050176047<45>
(89·1055+1)/9 =
98888888888888888888888888888888888888888888888888888889<56>
= 32 · 11 · 36497 · 526387721 · 1072703412727<13> · 48469632041811489366398647789<29>
(89·1056+1)/9 =
988888888888888888888888888888888888888888888888888888889<57>
= 16007 · 1374473587729927099<19> · 44947045910012240095416395526980173<35>
(89·1057+1)/9 =
9888888888888888888888888888888888888888888888888888888889<58>
= 11 · 572833 · 43940657668591519499<20> · 35715787487576618748414681105697<32>
(89·1058+1)/9 =
98888888888888888888888888888888888888888888888888888888889<59>
= 3 · 72 · 8089 · 220841059 · 12238007912017169280199<23> · 30771224329488616972463<23>
(89·1059+1)/9 =
988888888888888888888888888888888888888888888888888888888889<60>
= 11 · 29 · 167 · 421 · 75683 · 414763 · 634428659 · 2213997408649304677210070856204703<34>
(89·1060+1)/9 =
9888888888888888888888888888888888888888888888888888888888889<61>
= 106693 · 923960251699<12> · 1417278205010831887<19> · 70778796429045573206509321<26>
(89·1061+1)/9 =
98888888888888888888888888888888888888888888888888888888888889<62>
= 3 · 11 · 2273 · 6258214149899283371<19> · 210660786560316393235441058191638049451<39>
(89·1062+1)/9 =
988888888888888888888888888888888888888888888888888888888888889<63>
= 1951 · 18199 · 1072386338237129578829<22> · 25971164928132458905566012565725109<35>
(89·1063+1)/9 =
9888888888888888888888888888888888888888888888888888888888888889<64>
= 112 · 31 · 149 · 17693516876732448776771632958528980887224505481113562359011<59>
(89·1064+1)/9 =
98888888888888888888888888888888888888888888888888888888888888889<65>
= 32 · 7 · 127 · 12359566165340443555666652779513671902123345692899498673776889<62>
(89·1065+1)/9 =
988888888888888888888888888888888888888888888888888888888888888889<66>
= 11 · 43 · 181 · 617 · 109111 · 171575029199457654622568803452714130330955468316800819<54>
(89·1066+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888889<67>
= 208631 · 20471641126726339992586673863<29> · 2315346520750910088578244202297913<34>
(89·1067+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888889<68>
= 3 · 11 · 313 · 577 · 34877 · 30256913 · 494623290385804104427723<24> · 31788871192263116847705871<26>
(89·1068+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888889<69>
= 17 · 192 · 23 · 191 · 4831359351739313<16> · 80573396657392831763<20> · 94225653331815476453259091<26>
(89·1069+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888889<70>
= 11 · 1619 · 71537 · 775419637 · 10010146760287921949586694689157471545474203262147509<53>
(89·1070+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888889<71>
= 3 · 7 · 173 · 701 · 420919 · 46915639187<11> · 1966291554294352925576327623074562597358232820361<49>
(89·1071+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888889<72>
= 11 · 98713451 · 2850812189082114465661<22> · 319455132451663481956780271052215746385909<42>
(89·1072+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888889<73>
= definitely prime number
(89·1073+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888889<74>
= 33 · 11 · 179 · 277 · 658307858693483707<18> · 10200681984112701759061689790655459332592129244877<50>
(89·1074+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888889<75>
= 3023 · 6563 · 8719 · 584399682869<12> · 9782059418971817850528306507558376104539979050355751<52>
(89·1075+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888889<76>
= 11 · 47 · 83 · 1130827 · 20599883431<11> · 268191297019<12> · 572819372372921<15> · 64395504784438656344183033473<29>
(89·1076+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888889<77>
= 3 · 7 · 103 · 461 · 27191 · 68059 · 2810317 · 66915762961<11> · 602729981591<12> · 472794884712028329819560152033201<33>
(89·1077+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888889<78>
= 11 · 829 · 108442689866091554873219529431833412533050651265367791302652581301555969831<75>
(89·1078+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888889<79>
= 31 · 71389 · 4468425328420475409326587718126307924410912175811349308305331619667116371<73>
(89·1079+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888889<80>
= 3 · 11 · 217937 · 7827359 · 143976987494239<15> · 4115289104888486036500823<25> · 2964789767748104690702674783<28>
(89·1080+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888889<81>
= 258613 · 1016569 · 2045869437594372254941126969<28> · 1838579309266430927732768831114313643541573<43>
(89·1081+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888889<82>
= 11 · 78888702448717691509417<23> · 2861033862667531951705561<25> · 3983061398644938366729494365938827<34>
(89·1082+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888889<83>
= 32 · 7 · 1569664902998236331569664902998236331569664902998236331569664902998236331569664903<82>
(89·1083+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888889<84>
= 11 · 234029 · 1045637933<10> · 367370098943240626874287141848465184332124404578329219261445509951507<69>
(89·1084+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888889<85>
= 17 · 1459 · 123503 · 3417434998584307<16> · 944638221897114592940042617771609247312937384934165636381903<60>
(89·1085+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888889<86>
= 3 · 112 · 13716404651<11> · 900382149694799<15> · 22058384715851042823142428029740416646095649764180502046447<59>
(89·1086+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888889<87>
= 19 · 43 · 151 · 1201 · 1913 · 16441507754885304097<20> · 656351862464357885395741<24> · 323304799911431478302589621123667<33>
(89·1087+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<88>
= 11 · 29 · 30999651689306861720654824103099965168930686172065482410309996516893068617206548241031<86>
(89·1088+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<89>
= 3 · 7 · 802049200568281<15> · 5871204292278098585833518151428430408130941154522253278821217069293141789<73>
(89·1089+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<90>
= 11 · 163 · 4177 · 12197 · 19567007 · 2452263089258479039<19> · 225609948751041656011025831036287740045933137892428629<54>
(89·1090+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<91>
= 23 · 24733 · 1491661 · 1360994083618243<16> · 2877883397800536990572041<25> · 2975385878796668091731180729313803186597<40>
(89·1091+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<92>
= 32 · 11 · 998877665544332210998877665544332210998877665544332210998877665544332210998877665544332211<90>
(89·1092+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<93>
= 43058357 · 391866310094447<15> · 58676988487433051<17> · 998813259987921733783482931700460397473267775659795841<54>
(89·1093+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<94>
= 11 · 31 · 61 · 4699735575023386686882430649955564511835527<43> · 101155583511669168726917574761483457328085467007<48> (Tetsuya Kobayashi)
(89·1094+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<95>
= 3 · 7 · 4035539 · 3609098472131581644309165761<28> · 323316539644857144535011985725687220660159402991907234438071<60> (Tetsuya Kobayashi)
(89·1095+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<96>
= 11 · 1258977000768971600732317711<28> · 71406379817963648898097119681212749614157507998281975692162241525509<68>
(89·1096+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<97>
= definitely prime number
(89·1097+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<98>
= 3 · 11 · 367 · 3361 · 62790289516391<14> · 279385125431142968023<21> · 138485152847504978424831525333599709998716519508605293463<57>
(89·1098+1)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<99>
= 2459 · 402150829153675839320410284216709592878767339930414350910487551398490804753513171569291943427771<96>
(89·1099+1)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<100>
= 11 · 898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<99>
(89·10100+1)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<101>
= 34 · 73 · 17 · 65119 · 3215227547938018825254913265639975962681258261681872094793608620110741474719496469888674321<91>
(89·10101+1)/9 =
9(8)1009<102>
= 11 · 113 · 157 · 9181 · 53551 · 955466676668597712277<21> · 50766771409934771772764431192577<32> · 212482933709809010918183414031303961<36>
(89·10102+1)/9 =
9(8)1019<103>
= 14979417260419<14> · 660165126384381103816974066078560973018917816112291295097940200928941340185329910981546131<90>
(89·10103+1)/9 =
9(8)1029<104>
= 3 · 11 · 809 · 1597 · 96223240991<11> · 24104611645119777794086223924474113390639596800296386439019570174337928030902841928731<86>
(89·10104+1)/9 =
9(8)1039<105>
= 19 · 26960788433<11> · 1196605098583<13> · 15810174211558957<17> · 200367316283926081<18> · 509268626315118596541664241682324520979511011737<48>
(89·10105+1)/9 =
9(8)1049<106>
= 11 · 85503706891<11> · 591134598796857206817490375548303936600153731<45> · 17786213026232642908782407642051128913178378547819<50> (Robert Backstrom NFSX v1.8)
(89·10106+1)/9 =
9(8)1059<107>
= 3 · 7 · 127 · 439 · 10210901 · 591428641767529<15> · 13986000615425596465385233134673870706661035604679599466226366398455684433026257<80>
(89·10107+1)/9 =
9(8)1069<108>
= 112 · 43 · 4517 · 14821812431<11> · 3478937437202327<16> · 816010315706347739053022982850887164159185009009638800236200609623460676447<75>
(89·10108+1)/9 =
9(8)1079<109>
= 31 · 17519 · 12347197 · 149678777 · 328133182721<12> · 30026017710625081233830232186912621852404349352787044582732242759005368904549<77>
(89·10109+1)/9 =
9(8)1089<110>
= 32 · 11 · 62298244243<11> · 13619785976086613<17> · 1177243259487080887681204909105217380606930430803697271181613911452009526793073629<82>
(89·10110+1)/9 =
9(8)1099<111>
= 103 · 547 · 351811 · 620555396340280441<18> · 80395728567223709402686989401133191106755663972227190928559416795569171530809151679<83>
(89·10111+1)/9 =
9(8)1109<112>
= 11 · 3251 · 901399 · 4406509 · 226656009757507588908414797778917<33> · 307155905976252083971703718241822432322802022277025351058035167<63> (Robert Backstrom NFSX v1.8)
(89·10112+1)/9 =
9(8)1119<113>
= 3 · 7 · 23 · 59 · 2731 · 4813432235571338434107475620019001777836411<43> · 263980466838939501524398011933524998738375194084770335885531457<63> (Robert Backstrom NFSX v1.8)
(89·10113+1)/9 =
9(8)1129<114>
= 11 · 173 · 7131281 · 580164973 · 2159154282413<13> · 58170926134133743417265234968071364027722710077295816595434765027358754779577805327<83>
(89·10114+1)/9 =
9(8)1139<115>
= definitely prime number
(89·10115+1)/9 =
9(8)1149<116>
= 3 · 11 · 29 · 1592963 · 37507318984679849<17> · 2043932142978561799080018998119854717575383<43> · 846150032584447174208828094818359813724908842337<48> (Robert Backstrom PPSIQS Ver 1.1)
(89·10116+1)/9 =
9(8)1159<117>
= 17 · 83 · 2351 · 385027 · 774241897040217947892817925287212029698979756149079282001228263062153592999827304314949469380077531107487<105>
(89·10117+1)/9 =
9(8)1169<118>
= 11 · 556999 · 104081983555789300432683155671<30> · 15506894646913299125808660678469855879426800234401275976841053379225777223251940331<83> (Tetsuya Kobayashi GMP-ECM 5.0.1 B1=250000)
(89·10118+1)/9 =
9(8)1179<119>
= 32 · 7 · 3487403 · 1671617267<10> · 15462777875500201<17> · 17413274457046114262098127515843396903228021836692311139816452223519599999119031541503<86>
(89·10119+1)/9 =
9(8)1189<120>
= 11 · 1559 · 10828691313413<14> · 204038941426451<15> · 1358238383568102577706442463<28> · 19215144822036095464487662965037987303120985936971611263853869<62> (Robert Backstrom GMP-ECM 5.0c)
(89·10120+1)/9 =
9(8)1199<121>
= 1151 · 176049571 · 434948068447<12> · 1289326255057625981237<22> · 87023584812328827100264257854374819663288620369596874777630663543902252680231<77>
(89·10121+1)/9 =
9(8)1209<122>
= 3 · 11 · 47 · 49445023 · 23066127673231429729169473979058881<35> · 55903426060382861749160555897586700435457388435619276724509219412884013232553<77>
(89·10122+1)/9 =
9(8)1219<123>
= 19 · 109 · 19267 · 897007 · 150386418703811<15> · 16059039689164730207<20> · 11440085759862073905226209453431956433146873650388026506423447038528779058343<77>
(89·10123+1)/9 =
9(8)1229<124>
= 11 · 31 · 3533753936467<13> · 8206478063370187722525915214887049585675710819225125513617792369348110696521903338724909500833773227405359287<109>
(89·10124+1)/9 =
9(8)1239<125>
= 3 · 7 · 373 · 79595835027484271563<20> · 158609438420949077442959924644582787941131716674527795681572930829317299296448612272373022132103268291<102>
(89·10125+1)/9 =
9(8)1249<126>
= 11 · 336737227992721<15> · 25926648309656766401<20> · 10297156253690821967631349344167610563222642211213966832777760514144525966734046803262502619<92>
(89·10126+1)/9 =
9(8)1259<127>
= 97 · 409 · 54695143 · 1115295800942591078710539271831<31> · 4086143606211852673376876100075241581598146243007287144377078208615335152670510257921<85> (Tetsuya Kobayashi GMP-ECM 5.0.1 B1=250000)
(89·10127+1)/9 =
9(8)1269<128>
= 33 · 11 · 332959221848110736999625888514777403666292555181444070332959221848110736999625888514777403666292555181444070332959221848110737<126>
(89·10128+1)/9 =
9(8)1279<129>
= 43 · 4289 · 151793863508641<15> · 15113517825048529<17> · 642894495389839324520761<24> · 127580729214076089886494971750639<33> · 28495640987153246443815100369437531197<38>
(89·10129+1)/9 =
9(8)1289<130>
= 112 · 8293 · 193084126031933<15> · 49672638444777431957533020899<29> · 69088809147240542516993079630133<32> · 14872327997490429989023405129943665814008567567183<50> (Tetsuya Kobayashi GMP-ECM 5.0.1 B1=250000, Robert Backstrom PPSIQS Ver 1.1)
(89·10130+1)/9 =
9(8)1299<131>
= 3 · 7 · 499 · 719 · 246891826330078460500137624785354974696534403587<48> · 53160866869972880996204658229364369363514239548637288387251394779310638360147<77> (Robert Backstrom NFSX v1.8)
(89·10131+1)/9 =
9(8)1309<132>
= 11 · 5247314981<10> · 3062070213183247661249241775756996362510900741785360718089<58> · 5595031459456865732230016505631061372171624775100041321017259511<64> (Robert Backstrom NFSX v1.8)
(89·10132+1)/9 =
9(8)1319<133>
= 17 · 72271 · 102293401421541181<18> · 78684083750601744090491575859021367166945186212428362486784511391782881326098027960449586020650702933305288467<110>
(89·10133+1)/9 =
9(8)1329<134>
= 3 · 11 · 3786651889<10> · 134759189027<12> · 8995808212217<13> · 323256376325997459283<21> · 15865426721620949513537827685711<32> · 127286029990174128589001668932090895808861879191<48>
(89·10134+1)/9 =
9(8)1339<135>
= 23 · 234082111 · 425393728729<12> · 743508779053497162266933862713758859<36> · 580729986576553909818180234776192273769368971008099240722299551987784750409483<78> (Robert Backstrom GMP-ECM 5.0c)
(89·10135+1)/9 =
9(8)1349<136>
= 11 · 3329 · 5786635895233<13> · 19044526998691<14> · 2450443364882180232306728461876736852740285348177003646901197727277407305143876910710581149054733313030777<106>
(89·10136+1)/9 =
9(8)1359<137>
= 32 · 7 · 11489 · 73726135991<11> · 3995371868898313<16> · 136583840622991027415078526881027<33> · 3395836072293004411392624068065858749008176271739245981894744668384918147<73> (Robert Backstrom GMP-ECM 5.0c)
(89·10137+1)/9 =
9(8)1369<138>
= 11 · 9328301 · 142700501 · 67534667032324521437062823255721598746253357554167135681686243287494175372904624465928446941063505830756107925214889608699<122>
(89·10138+1)/9 =
9(8)1379<139>
= 31 · 7739203631<10> · 123848493724489026440104908771242383090771607<45> · 332811864832857994803825785286396971936555207279064853034369400273436459201384992607<84> (Greg Childers / GGNFS)
(89·10139+1)/9 =
9(8)1389<140>
= 3 · 11 · 449077 · 258744132317001338789<21> · 25789459175540883549511416436738643146090215802767261898572389038238819654998307182096633217769236811238873102961<113>
(89·10140+1)/9 =
9(8)1399<141>
= 19 · 4019 · 218839 · 624313 · 149366908611581<15> · 634591714596041658578338127520296706741500878380287634104899848288184733891974435348390787878489346254172270747<111>
(89·10141+1)/9 =
9(8)1409<142>
= 11 · 20089 · 131317 · 2581642123451<13> · 132001693248692203038509738275705485474769928216700545300544029852572227221401895843936206973675256083470311695255021173<120>
(89·10142+1)/9 =
9(8)1419<143>
= 3 · 72 · 277 · 221941 · 868433021668253511077<21> · 12600173521767258423977417792909169070622532258714051456246240845803537093566005378172230287240066977139666135583<113>
(89·10143+1)/9 =
9(8)1429<144>
= 11 · 29 · 131 · 289430598103067<15> · 503773514259041128306129341705613<33> · 10576921495804627783856314533081903784787<41> · 15344278225841622589729935912851928503568610745836513<53> (Robert Backstrom PPSIQS Ver 1.1)
(89·10144+1)/9 =
9(8)1439<145>
= 103 · 43223 · 3288280659927292485957261518514170457781<40> · 2398010414429186368437822729409181213827856107<46> · 281692589781504445980061317471917376276719771370502943<54> (Robert Backstrom GMP-ECM 5.0c, PPSIQS Ver 1.1)
(89·10145+1)/9 =
9(8)1449<146>
= 32 · 11 · 998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332211<144>
(89·10146+1)/9 =
9(8)1459<147>
= 35317 · 28000364948576857855675422286402834014465806520624313755100628277851711325675705436160740971455358294557547042186167819715403032219296341390517<143>
(89·10147+1)/9 =
9(8)1469<148>
= 11 · 2423 · 14741 · 160222624630254869280396258996178652003<39> · 4972139990969861070890682623316998893525772950021<49> · 31594192671194606533148648647345097435701380247405111<53> (Greg Childers / GGNFS)
(89·10148+1)/9 =
9(8)1479<149>
= 3 · 7 · 17 · 127 · 1901 · 89839 · 459863772364107478686889603096508809277<39> · 2128370917916088221332154184568808848905317<43> · 13048242530565459049275992109100105411698480990040667801<56> (Robert Backstrom GMP-ECM 5.0c, PPSIQS Ver 1.1)
(89·10149+1)/9 =
9(8)1489<150>
= 11 · 43 · 2090674183697439511392999765092788348602302090674183697439511392999765092788348602302090674183697439511392999765092788348602302090674183697439511393<148>
(89·10150+1)/9 =
9(8)1499<151>
= 1427 · 77213 · 135469 · 107385552073<12> · 6169462350430949785056951722629129027783358721484314600753781506118988012532000928413934537888179388208091176302930488914170147<127>
(89·10151+1)/9 =
9(8)1509<152>
= 3 · 112 · 683 · 106781 · 9592561240368708557394631004994331725705539077245555042315551<61> · 389396106087029426819397405054446679770014664080460923953210556844866305408789611<81> (Sinkiti Sibata / GGNFS-0.77.1 / 40.47 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 17, 2006)
(89·10152+1)/9 =
9(8)1519<153>
= 10190419905946011268576405253557768498330481<44> · 97041034424094909444203541070911753967506741360316917336324363078053621728588507016698294822884773453384829769<110> (suberi / GGNFS-0.77.1-20060513-pentium4 / 43.91 hours on Pentium 4 2.21GHz, Windows XP and Cygwin / Jan 14, 2007)
(89·10153+1)/9 =
9(8)1529<154>
= 11 · 31 · 61 · 563 · 617 · 1117 · 2633 · 30170927 · 13269024345448025737931<23> · 95346673734407302484957<23> · 199359831203703219591466201<27> · 61149772131444053967584347436622464995185610376773276810391<59> (Makoto Kamada / msieve 0.87 / 1 hour)
(89·10154+1)/9 =
9(8)1539<155>
= 33 · 7 · 64129201 · 8158867195815295497858377615933165566648620820948823462235583355120009118101361775364685694273476150114705320018280507389222639099385748874039101<145>
(89·10155+1)/9 =
9(8)1549<156>
= 11 · 221283713669917886172160387597<30> · 406261212847726601754969002512377614220777133530979514806904687969487179319278660751017693894791015220582991430552717056899767<126> (Makoto Kamada / GMP-ECM 5.0.3 B1=100040, sigma=2777052825)
(89·10156+1)/9 =
9(8)1559<157>
= 23 · 173 · 3395911 · 35190907398243504644236934773128038169516636457174728867557<59> · 20796334442362108455107590366458381110422317923673323714312825264926001029408728804836633<89> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 35.30 hours on Cygwin on AMD XP 2700+ / Apr 11, 2007)
(89·10157+1)/9 =
9(8)1569<158>
= 3 · 11 · 83 · 507109 · 7608147321531382277<19> · 998766999662301920263579973857<30> · 671276082185180309721450498078371896813263139<45> · 13957571951968016563167181516143946350859587741613040809<56> (Robert Backstrom / GMP-ECM 5.0 B1=124000, sigma=2735283990 for P30, GGNFS-0.77.1-20060513-athlon-xp gnfs for P45 x P56 / 30.98 hours on Cygwin on AMD 64 3200+ / Apr 23, 2007)
(89·10158+1)/9 =
9(8)1579<159>
= 19 · 1301 · 153009010613<12> · 424900550000295550092866554354772812998171689914130662333763053<63> · 615335965218209178221823895527708916744280900160476438475349268969266385168270279<81> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 33.67 hours on Cygwin on AMD 64 3400+ / Jul 14, 2007)
(89·10159+1)/9 =
9(8)1589<160>
= 11 · 1607 · 117727 · 9898242372013<13> · 748314670082521201732646760076033103<36> · 641535236229688185049707266010883443210404427579829424348071950643837839950313319024896633402043943969<102> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000, sigma=1203473070 for P36 / Jul 16, 2007)
(89·10160+1)/9 =
9(8)1599<161>
= 3 · 7 · 13478561 · 2604830927057<13> · 389550479169437732233<21> · 109295694047007891577335677<27> · 3150201538334847287055332647861701653551863391303435076607939134013084778993917452235387895937<94>
(89·10161+1)/9 =
9(8)1609<162>
= 11 · 151 · 54497 · 4734857424467<13> · 29333719355391524558753<23> · 24068764486818214538179925119843116225195355366201<50> · 3267965275130364758731306727795381662655553549388276194815369559709367<70> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.32 / Dec 30, 2007)
(89·10162+1)/9 =
9(8)1619<163>
= 71359 · 1175039 · 32398427 · 5007866949667<13> · 203136435361350386070013<24> · 3578342664407631301405166978462315638291644860219190836735292321825739082241846244916633154199776655995800317<109>
(89·10163+1)/9 =
9(8)1629<164>
= 32 · 11 · 191 · 44453 · 169823791 · 53555495404586983124284868689499027110767249977749056417262621184569457<71> · 12935263718227109600388586097547759844207588321745878007455274683392359947511<77> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 12, 2007)
(89·10164+1)/9 =
9(8)1639<165>
= 17 · 19597 · 7888299157<10> · 270666531521708051044165587427652002648199<42> · 1390244075564748945696789150673380726874059327867465501106095914306348058416858266414264460951086291348664927<109> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 29, 2007)
(89·10165+1)/9 =
9(8)1649<166>
= 11 · 1543543 · 88376688350459632586628231306318307<35> · 6590196373765717129866256369308391326824122412948343208845340599055463285702949105086810818044931047876369140104917833811599<124> (Makoto Kamada / GMP-ECM 5.0.3 B1=100290, sigma=546111055)
(89·10166+1)/9 =
9(8)1659<167>
= 3 · 7 · 2145267415169671460471822733293<31> · 787295564822051341879920685703659778682875348470397<51> · 2788103947756805820487521573803396169483071780461221984528675501647444463826993994429<85> (anonymous / GMP-ECM B1=250000, sigma=3985830839 for P31 / Jan 27, 2007) (Erik Branger / GGNFS, Msieve snfs / 57.30 hours / Nov 7, 2008)
(89·10167+1)/9 =
9(8)1669<168>
= 11 · 47 · 247241048054093075068483<24> · 11735515965675694227339384230495652756357364865648203<53> · 659225790392093267074705101810375554863868616091506172922557608512373829311495920690579333<90> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 38.58 hours, 1.77 hours / Apr 17, 2009)
(89·10168+1)/9 =
9(8)1679<169>
= 31 · 15467 · 14156321914008218389<20> · 1197741581225809551137206782460379046419207957<46> · 1216371290130096965390512251725852109764456594341931436026498758415155508058087929946270416461522909<100> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 37.15 hours, 1.3 hours / Jun 7, 2009)
(89·10169+1)/9 =
9(8)1689<170>
= 3 · 11 · 1043029760492294778115192930717<31> · 2137408286980640850586822612999<31> · 1344155050671296329476443457173504996983463628893573178601520913356656425293555294725257688032563620895713451<109> (Robert Backstrom / GMP-ECM 5.0 B1=169500, sigma=2896656812 for P31(1043...), B1=75500, sigma=2425771376 for P31(2137...) / May 31, 2007)
(89·10170+1)/9 =
9(8)1699<171>
= 43 · 59 · 163 · 1171 · 2081129 · 69730009 · 57040393037<11> · 246706901509329196775525119267643736934048272993985116155106192414647029719947137804593982125562385115838835230347590895131678818907306077<138>
(89·10171+1)/9 =
9(8)1709<172>
= 11 · 29 · 31153 · 20859158360218646280250430937682237384800186664930597024627057321<65> · 47704588922816156402622683680592959261170977885583403442268477509804178279463931489193875017204443487<101> (Serge Batalov / Msieve-1.38 snfs / 30.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 6, 2008)
(89·10172+1)/9 =
9(8)1719<173>
= 32 · 7 · 28374437137208143694859353109210241<35> · 55319684242824805539786119928055484629932205195577216102493402586162471078482629895939814487631967975891214726015347155376120908609278983<137> (Makoto Kamada / GMP-ECM 5.0.3 B1=43970, sigma=4171773387)
(89·10173+1)/9 =
9(8)1729<174>
= 112 · 401 · 1972031 · 36508796972420217359188613859528017520402107<44> · 26223045467053073103521145401907892655457523884058353664729<59> · 10795017884319115590619497478062896384036042183481493808139013<62> (Serge Batalov / Msieve-1.38 snfs / 40.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 9, 2008)
(89·10174+1)/9 =
9(8)1739<175>
= 233 · 1237 · 52081 · 1735274687<10> · 6382549367<10> · 35304855647430403<17> · 1684789734643746528122902676255862849036595956871852569193037458878887347118046508229784807436357917212798188020527975913926926247<130>
(89·10175+1)/9 =
9(8)1749<176>
= 3 · 11 · 2377 · 83045563 · 21545311091948629<17> · 127739194355601203<18> · 141537670211263258844233207<27> · 5050043729825650103372047299253484119274219<43> · 7716916809971581744577104286439612898464992845500606623694673<61> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4189810606 for P27) (Anton Korobeynikov / GGNFS-0.73.3 gnfs / 18.27 hours for P43 x P61 / Mar 9, 2005)
(89·10176+1)/9 =
9(8)1759<177>
= 19 · 206065544821099<15> · [252573925791023055552477728807718982392114689986929665050984081948377626141689477103537048347149277731434175895238037623247371708275450278275198710587424745140169<162>] SUBMIT/RESERVE
(89·10177+1)/9 =
9(8)1769<178>
= 11 · 2089 · 73382399 · 34660765669736251<17> · 169194528443371405476473539396842457884492670802213364269120176265313946250498621034589328141325390942095783327556591814451824443784341878948335509559<150>
(89·10178+1)/9 =
9(8)1779<179>
= 3 · 7 · 23 · 103 · 39671 · 145177 · 1708698525101<13> · 201988540650401741423910344670420101987492759641784044069087513574531119276742563862767053674341739287220267522844419595071776162581283776034229393919383<153>
(89·10179+1)/9 =
9(8)1789<180>
= 11 · 157 · 5060505548723700473<19> · 6611847012089737787<19> · 85097940831401889847333<23> · 201103397067209717831751183249741658219827706630316803469664791159008627663575018068330483195560303196379270190563529<117>
(89·10180+1)/9 =
9(8)1799<181>
= 17 · 711962455993260516463<21> · 37287164971883204362343<23> · 178087690675076789660107777<27> · 1836752405977035142322213813<28> · 66988090653869154796356914160027099834175680263483228734044444225891821948368819613<83> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=992961681 for P27) (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3486630773)
(89·10181+1)/9 =
9(8)1809<182>
= 35 · 11 · 40086795901480525822645927616850833828200151<44> · 4401347710531047444920804384243769376286461546304783503<55> · 209682175547011199524064175561135108760786096939706109059852576036837707179292081<81> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 141.03 hours, 2.66 hours / Jul 10, 2009)
(89·10182+1)/9 =
9(8)1819<183>
= 3617 · 48354877 · 61971619 · [91235921601499157776791814421833016011298857357560733035581713899828173236456197313123647100677332449106946417217708840749344833433112252741095346149832282860470159<164>] SUBMIT/RESERVE
(89·10183+1)/9 =
9(8)1829<184>
= 11 · 31 · 230939 · 6528699292836557<16> · 45042607302532677661259<23> · 855468002423990818667567862479<30> · 275723309612424883809954589539130241126436024793<48> · 1810374387839617565875816723065884562933961409570318045244551<61> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=3594520275 for P30, pol51+Msieve 1.36 gnfs for P48 x P61 / 9.00 hours on Opteron-2.6GHz; Linux x86_64 / Aug 6, 2008)
(89·10184+1)/9 =
9(8)1839<185>
= 3 · 72 · 72298914535541553904067220479461<32> · [9304614518461221721104624962266784798483154187010164476340585209206066713053419278049718921187096589377538419636855579283100025304641980222987710282567<151>] (Makoto Kamada / GMP-ECM 5.0.3 P-1 B1=50000000, B2=7260750615 for P32) SUBMIT/RESERVE
(89·10185+1)/9 =
9(8)1849<186>
= 11 · 1987 · 616943 · 40940401384167441808899155767<29> · 1791264866192661432732845062852095165264741708650930105086935795122598812517413884118459537265905771919543758665292146582186543306950429077800614017<148> (Dmitry Domanov / ECMNET / Jun 22, 2009)
(89·10186+1)/9 =
9(8)1859<187>
= 9733 · 1976585369250216667<19> · 514026131151561570962760002367279258888774199959778191179251928678890401917094523682830695197742404746454591271547947511418014040506993400799160100203600232689980799<165>
(89·10187+1)/9 =
9(8)1869<188>
= 3 · 11 · 2113 · 53436670079527513453372141<26> · 26539618343392390368380352055345120368680743940244939749660016224269777920657790101145291847422912050143063087742829198697524309000191824413799439858404431901<158> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=2155084681)
(89·10188+1)/9 =
9(8)1879<189>
= 5715521093<10> · [173018150540991956564701088207302131443448578816904191046940273952880832958355226717188652476361159129202935283242928780647733126805011843368747565724168501268951381838402899388773<180>] SUBMIT/RESERVE
(89·10189+1)/9 =
9(8)1889<190>
= 11 · 695553667 · 1292480999873585584732442937418801632022723415517409657907805838639765218718902820463311553354214289535043152750699104559388355433671948407539615342132757370538008965726434722252697<181>
(89·10190+1)/9 =
9(8)1899<191>
= 32 · 7 · 127 · 599 · 1021 · 5903 · 528043 · 1880833 · 3447135486293666124586558539461395362759997985325359827772476665712151499513893474747814667007716918457188846174209305694707538786865460672807829058083797561915890463<166>
(89·10191+1)/9 =
9(8)1909<192>
= 11 · 43 · 263 · 1787 · 96802175159<11> · 45953748111416674078074082115097974033748260279972189633411007767789449809891654526061647254520307841919937547228919539752251275559596223857256577743132783931075093437277267<173>
(89·10192+1)/9 =
9(8)1919<193>
= 13218418284259087<17> · [748114386776887849372434441465472766147859627402750026457249655664184415920532110551366024994406745282199985529975194514572694215680472202450911817988622631689574593364587771447<177>] SUBMIT/RESERVE
(89·10193+1)/9 =
9(8)1929<194>
= 3 · 11 · 991 · 9859 · 10729 · 28586947951013188372006798164482771191083194203325982352001151889645333925593382704291923232127170147573580464567813241726566016160174943029155921326107723728036514612107345022535333<182>
(89·10194+1)/9 =
9(8)1939<195>
= 19 · 787 · 1478629721<10> · 1769297203<10> · 2283368889277607<16> · 38346165072677325477768700865603<32> · 9097052437296664414776212359460597<34> · 3374615834793386611677694152332672045296747<43> · 9404503802431255949573827788376837390651779708209<49> (Dmitry Domanov / ECMNET / Jun 22, 2009) (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=6364061278 for P34, Msieve 1.38/YAFU 1.10 for P43 x P49 / Jun 23, 2009)
(89·10195+1)/9 =
9(8)1949<196>
= 112 · 66854285429<11> · 6566120778828605513881<22> · [186176134374224885446313829243699405980513658842895376886403205565395066412732882555349106134677758370423399970720625653674723005660040380049846505017679909311141<162>] SUBMIT/RESERVE
(89·10196+1)/9 =
9(8)1959<197>
= 3 · 7 · 17 · 9319 · 1100471 · 1831154018523601241<19> · [14750491532876512186151580834233782030017745771463797894841534231240953087050031419302634865277757284818839183065541316819820003567318279594901975639146402502762766253<167>] SUBMIT/RESERVE
(89·10197+1)/9 =
9(8)1969<198>
= 11 · 1097 · 34754543550863119<17> · 647278217121651105541<21> · 19529714814982986435712937<26> · 99429846509411749958422469<26> · 1876000427359727953324536228737013368523167019576875931142646854395957088873360379620808498186817858813341<106> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=350760833)
(89·10198+1)/9 =
9(8)1979<199>
= 31 · 83 · 431 · 12487 · 83813 · 1079213 · 2166408303061502899372383833<28> · [3644294481802054702074482416107025751122026723203262487883027906121152932420037231524191511230107502368223926430246726131550570211348197102339570924797<151>] (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3280725341 for P28) SUBMIT/RESERVE
(89·10199+1)/9 =
9(8)1989<200>
= 32 · 11 · 29 · 173 · 421 · 3013553 · 75505703827954394348190142512190813<35> · 2078392237191109696799707468604509557501015179027375428569828921512009119409343165258187588687754438966150764624796567341773480588321102772113091935307<151> (Dmitry Domanov / ECMNET / Jun 22, 2009)
(89·10200+1)/9 =
9(8)1999<201>
= 23 · 304033 · 1661454287<10> · 10579488240557<14> · 5342664851907016814443631<25> · [1505871617969754125105340716471716819425587070405342528239414663881617287096489984670330206579680277997690189671740540831971891667033085854377993899<148>] SUBMIT/RESERVE

4. References

Copyright (C) 1999-2009 Makoto Kamada All Rights Reserved.