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Factorizations of 988...881

Table of contents

  1. About 988...881
  2. Prime numbers of the form 988...881
  3. Factorizations of 988...881
  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 9, 2009

Searched up to

n≤10000

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)

3. Factorizations of 988...881

Last update

Oct 23, 2009

Completed up to

Range

n≤100

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 =
9888888888888888888888888888888888888888888888888881<52>
= 1771999970603<13> · 315594140659947299<18> · 17682955556115512878673<23>
(89·1052-71)/9 =
98888888888888888888888888888888888888888888888888881<53>
= 19 · 409 · 232171 · 1758193 · 2026517 · 15383169251776636844410963403861<32>
(89·1053-71)/9 =
988888888888888888888888888888888888888888888888888881<54>
= 3 · 41 · 4192189 · 895200449064431<15> · 2142304698580994948920202376433<31>
(89·1054-71)/9 =
9888888888888888888888888888888888888888888888888888881<55>
= 337 · 499 · 2053 · 13356481 · 367136423021<12> · 5841287449102686467445278779<28>
(89·1055-71)/9 =
98888888888888888888888888888888888888888888888888888881<56>
= 72 · 13 · 17 · 43 · 191 · 5101 · 20323032173983921<17> · 10725399861991796318045371093<29>
(89·1056-71)/9 =
988888888888888888888888888888888888888888888888888888881<57>
= 32 · 225217 · 384186619 · 39849422887<11> · 31866880213559113032491425167709<32>
(89·1057-71)/9 =
9888888888888888888888888888888888888888888888888888888881<58>
= 720091 · 1077729596349221<16> · 6487057991994133<16> · 1964276063256996872587<22>
(89·1058-71)/9 =
98888888888888888888888888888888888888888888888888888888881<59>
= 41 · 683357 · 176268142651611761<18> · 20023600166449461781010492716930733<35>
(89·1059-71)/9 =
988888888888888888888888888888888888888888888888888888888881<60>
= 3 · 855787 · 133944467 · 2875648363651749357874604845679657794859334763<46>
(89·1060-71)/9 =
9888888888888888888888888888888888888888888888888888888888881<61>
= 14407645989606489506693<23> · 686363955362494321499617006993672630717<39>
(89·1061-71)/9 =
98888888888888888888888888888888888888888888888888888888888881<62>
= 7 · 13 · 1171 · 12652146143017727<17> · 180301871014625953<18> · 406803589742496971036591<24>
(89·1062-71)/9 =
988888888888888888888888888888888888888888888888888888888888881<63>
= 3 · 7229 · 272400839 · 167393880356985551843769146236444835927980085170417<51>
(89·1063-71)/9 =
9888888888888888888888888888888888888888888888888888888888888881<64>
= 41 · 83 · 241 · 367 · 1277 · 2383 · 2659 · 645097 · 949716967 · 6627503186733738905829892277611<31>
(89·1064-71)/9 =
98888888888888888888888888888888888888888888888888888888888888881<65>
= 61 · 181162046742755186744261<24> · 8948504144189290992799727224851159069761<40>
(89·1065-71)/9 =
988888888888888888888888888888888888888888888888888888888888888881<66>
= 33 · 23 · 164789 · 26332387 · 43193431 · 8496102566824830271298607778706070147146317<43>
(89·1066-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888881<67>
= 492721507 · 50673280579<11> · 906418036202611<15> · 436956714977396382916667153461907<33>
(89·1067-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888881<68>
= 7 · 132 · 907 · 7691 · 272003 · 450973527202937<15> · 97689505499973806561997833872504304501<38>
(89·1068-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888881<69>
= 3 · 41 · 472 · 35993 · 61343 · 304331111303<12> · 25638699826113857911<20> · 211261939428516666361349<24>
(89·1069-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888881<70>
= 223 · 14653 · 1106809249477<13> · 4101463495976771571257053<25> · 666660086208009692377798379<27>
(89·1070-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888881<71>
= 19 · 3453801120387136747<19> · 8806650809415214879<19> · 171114098522460257275731322325023<33>
(89·1071-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888881<72>
= 3 · 17 · 1913359559<10> · 3764040257<10> · 2692318720913818707246537571001619324219740399116637<52>
(89·1072-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888881<73>
= 5667256500706855888189226699<28> · 1744916413727786001471324714444154613733698419<46>
(89·1073-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888881<74>
= 7 · 13 · 41 · 2927 · 54367 · 429648639367722813611<21> · 387659754046858283233041157399656174397649<42>
(89·1074-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888881<75>
= 32 · 1183613379732034859<19> · 68855427244082384281<20> · 1348208138730045150139933825213270771<37>
(89·1075-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888881<76>
= 29 · 15541 · 154511764829<12> · 4244480022821<13> · 17980419888083981<17> · 1860735582160107124155167095301<31>
(89·1076-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888881<77>
= 43 · 523 · 610240290166022429<18> · 2407009779383063536501<22> · 2993633431111933273678277343568601<34>
(89·1077-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888881<78>
= 3 · 41378353 · 80564965740432497531<20> · 143019319179207097273<21> · 691372512853735359678926352793<30>
(89·1078-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888881<79>
= 41 · 197 · 541 · 41467 · 53101 · 41408831 · 278677543 · 89063526992788313042672703106996804674459859903<47>
(89·1079-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888881<80>
= 7 · 13 · 60509 · 17959164532401571519719233282504861939326233893984146012769853851345860799<74>
(89·1080-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888881<81>
= 3 · 113 · 3323 · 1642811 · 26855176232345909711245039791781<32> · 19897652818367191116600538719660889703<38> (Makoto Kamada / msieve 0.81 / 2.2 minutes)
(89·1081-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888881<82>
= 3967 · 15312259 · 73657873 · 1362092261<10> · 34144698810635617<17> · 47522255515029236021763932493274628977<38>
(89·1082-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888881<83>
= 321109 · 652543 · 4301090669<10> · 1813698909226715699<19> · 60498149988531702496454264566977902727642373<44>
(89·1083-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888881<84>
= 32 · 41 · 67 · 9539 · 4193179747627992775271907647686736538016562177079664610242272253235898366073<76>
(89·1084-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888881<85>
= 57113099 · 173145724221494072469940545318489702141515537248099405162533535238367802260019<78>
(89·1085-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888881<86>
= 7 · 13 · 178329760013<12> · 6093716980339503458885816600244238960920016828369681383061835717780828207<73>
(89·1086-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888881<87>
= 3 · 321427 · 766769 · 1337455500864880949490837973048041978293913873996776467595937127909552558729<76>
(89·1087-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<88>
= 17 · 23 · 308801 · 1127957 · 6411618569<10> · 196282516039451<15> · 57696597640260935522318897568532439295522373316777<50>
(89·1088-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<89>
= 19 · 41 · 16011169 · 7928426381415677005562801820576531440150642711748096526083209762819544548763731<79>
(89·1089-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<90>
= 3 · 467 · 4579526416685989<16> · 154130573142892896961454758900001597432509802547847900754962741982716229<72>
(89·1090-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<91>
= definitely prime number
(89·1091-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<92>
= 7 · 13 · 2063 · 14627 · 31873 · 19756917337<11> · 53023447400579563<17> · 1078553094936785128668524274778281442268136434254357<52>
(89·1092-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<93>
= 35 · 3041 · 780538471 · 640144425247<12> · 135201836675601524478794902061<30> · 19809336572342472101937313617107961391<38> (Makoto Kamada / msieve 0.81 / 1.4 minutes)
(89·1093-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<94>
= 41 · 131 · 241 · 276612607084851887<18> · 27618706337495185810897911910538685112742201437135127132271814834049533<71>
(89·1094-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<95>
= 157 · 331 · 1120907 · 1697658255437150612867276526951607192267408379285488670268867705705686255893356425549<85>
(89·1095-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<96>
= 3 · 731238379385250571<18> · 450782725472845192722412856476608747821584268059553373408303601251630217163537<78>
(89·1096-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<97>
= 122416690440045967225979083<27> · 1412217344329754815430751427329613<34> · 57201224013085766866622661194855413439<38> (Makoto Kamada / GGNFS-0.71.4)
(89·1097-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<98>
= 74 · 13 · 43 · 1237 · 4707108828077<13> · 255456494815283<15> · 1221430137225253<16> · 40554029251419008122403754670515633377966084209<47>
(89·1098-71)/9 =
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<99>
= 3 · 41 · 97453380161<11> · 82498391034308579992026779969989015998171697403764792787394099629757470668714486551427<86>
(89·1099-71)/9 =
9888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<100>
= 479 · 41940589 · 4366415439063140823106082947959242618783363<43> · 112733347882768060678237014363250918268733953177<48> (Makoto Kamada / GGNFS-0.71.4 / 0.45 hours)
(89·10100-71)/9 =
98888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<101>
= 342037 · 114238741 · 4394931567311<13> · 413678831342794799<18> · 1392020353596018954718724701862423962934705418690240935737<58>

4. References

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