Table of contents 目次

  1. About 99...99299...99 99...99299...99 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 99...99299...99 99...99299...99 の形の素数
    1. Last updated 最終更新日
    2. Known (probable) prime numbers 既知の (おそらく) 素数
    3. Range of search 捜索範囲
  3. Factor table of 99...99299...99 99...99299...99 の素因数分解表
    1. Last updated 最終更新日
    2. Range of factorization 分解範囲
    3. Terms that have not been factored yet まだ分解されていない項
    4. Factor table 素因数分解表
  4. Related links 関連リンク

1. About 99...99299...99 99...99299...99 について

1.1. Classification 分類

Near-repdigit-palindrome of the form AA...AABAA...AA AA...AABAA...AA の形のニアレプディジット回文数 (Near-repdigit-palindrome)

1.2. Sequence 数列

9w29w = { 2, 929, 99299, 9992999, 999929999, 99999299999, 9999992999999, 999999929999999, 99999999299999999, 9999999992999999999, … }

1.3. General term 一般項

102n+1-7×10n-1 (0≤n)

2. Prime numbers of the form 99...99299...99 99...99299...99 の形の素数

2.1. Last updated 最終更新日

March 3, 2012 2012 年 3 月 3 日

2.2. Known (probable) prime numbers 既知の (おそらく) 素数

  1. 103-7×101-1 = 929 is prime. は素数です。
  2. 1017-7×108-1 = 99999999299999999<17> is prime. は素数です。
  3. 1019-7×109-1 = 9999999992999999999<19> is prime. は素数です。
  4. 10705-7×10352-1 = (9)3522(9)352<705> is prime. は素数です。 (Patrick De Geest / September 23, 2002 2002 年 9 月 23 日)
  5. 101061-7×10530-1 = (9)5302(9)530<1061> is prime. は素数です。 (Jeff Heleen / September 28, 2002 2002 年 9 月 28 日)
  6. 101395-7×10697-1 = (9)6972(9)697<1395> is prime. は素数です。 (Jeff Heleen / September 28, 2002 2002 年 9 月 28 日)
  7. 102631-7×101315-1 = (9)13152(9)1315<2631> is prime. は素数です。 (Harvey Dubner / 1989)
  8. 103837-7×101918-1 = (9)19182(9)1918<3837> is prime. は素数です。 (Harvey Dubner / 1999)
  9. 105749-7×102874-1 = (9)28742(9)2874<5749> is prime. は素数です。 (Harvey Dubner / 1999)
  10. 1011753-7×105876-1 = (9)58762(9)5876<11753> is prime. は素数です。 (Harvey Dubner / 1999)
  11. 1013537-7×106768-1 = (9)67682(9)6768<13537> is prime. は素数です。 (Harvey Dubner / 1999)
  12. 10125877-7×1062938-1 = (9)629382(9)62938<125877> is prime. は素数です。 (Darren Bedwell / OpenPFGW / October 31, 2010 2010 年 10 月 31 日)
  13. 10269479-7×10134739-1 = (9)1347392(9)134739<269479> is prime. は素数です。 (Darren Bedwell / OpenPFGW / February 29, 2012 2012 年 2 月 29 日)

2.3. Range of search 捜索範囲

  1. n≤68000 / Completed 終了

3. Factor table of 99...99299...99 99...99299...99 の素因数分解表

3.1. Last updated 最終更新日

December 17, 2014 2014 年 12 月 17 日

3.2. Range of factorization 分解範囲

3.3. Terms that have not been factored yet まだ分解されていない項

n=101, 104, 106, 109, 111, 112, 113, 115, 116, 117, 119, 120, 121, 122, 124, 127, 128, 130, 131, 132, 136, 137, 138, 139, 140, 141, 143, 144, 145, 146, 147, 150 (32/150)

3.4. Factor table 素因数分解表

101-7×100-1 = 2 = definitely prime number 素数
103-7×101-1 = 929 = definitely prime number 素数
105-7×102-1 = 99299 = 109 × 911
107-7×103-1 = 9992999 = 47 × 173 × 1229
109-7×104-1 = 999929999 = 139 × 311 × 23131
1011-7×105-1 = 99999299999<11> = 205537 × 486527
1013-7×106-1 = 9999992999999<13> = 67049 × 149144551
1015-7×107-1 = 999999929999999<15> = 2782723 × 359360213
1017-7×108-1 = 99999999299999999<17> = definitely prime number 素数
1019-7×109-1 = 9999999992999999999<19> = definitely prime number 素数
1021-7×1010-1 = 999999999929999999999<21> = 1531031 × 653154638887129<15>
1023-7×1011-1 = 99999999999299999999999<23> = 17 × 114203 × 3339151 × 15425438099<11>
1025-7×1012-1 = 9999999999992999999999999<25> = 17 × 588235294117235294117647<24>
1027-7×1013-1 = 999999999999929999999999999<27> = 233 × 4291845493561931330472103<25>
1029-7×1014-1 = 99999999999999299999999999999<29> = 80146861 × 10577745863<11> × 117956086093<12>
1031-7×1015-1 = 9999999999999992999999999999999<31> = 331 × 12024223661137<14> × 2512551430674317<16>
1033-7×1016-1 = 999999999999999929999999999999999<33> = 1945549 × 38158024423<11> × 13470134899397837<17>
1035-7×1017-1 = 99999999999999999299999999999999999<35> = 19469 × 37397 × 1653521 × 609570613 × 136265481091<12>
1037-7×1018-1 = 9999999999999999992999999999999999999<37> = 139 × 71942446043165467575539568345323741<35>
1039-7×1019-1 = 999999999999999999929999999999999999999<39> = 47 × 107 × 289084649652697963<18> × 687849352919694137<18>
1041-7×1020-1 = 99999999999999999999299999999999999999999<41> = 6485243 × 15419622672581428328791997462546893<35>
1043-7×1021-1 = 9999999999999999999992999999999999999999999<43> = 2215006022870241309047<22> × 4514660410287207794617<22>
1045-7×1022-1 = 999999999999999999999929999999999999999999999<45> = 2503195320607<13> × 399489401313481975270969442772257<33>
1047-7×1023-1 = 99999999999999999999999299999999999999999999999<47> = 1879 × 37509061 × 386057758970623<15> × 3675231857582380954427<22>
1049-7×1024-1 = 9999999999999999999999992999999999999999999999999<49> = 67 × 179 × 2791 × 514375321 × 1752364011187<13> × 331442259440932014499<21>
1051-7×1025-1 = 999999999999999999999999929999999999999999999999999<51> = 913873 × 1911745747330748779<19> × 572379433868351998767479597<27>
1053-7×1026-1 = 99999999999999999999999999299999999999999999999999999<53> = 204923 × 487988171166730918442536949488344402531682632013<48>
1055-7×1027-1 = 9999999999999999999999999992999999999999999999999999999<55> = 17 × 71 × 43093483 × 7893526957<10> × 25829075603<11> × 942977158192333734995149<24>
1057-7×1028-1 = 999999999999999999999999999929999999999999999999999999999<57> = 17 × 131 × 7481 × 397314300333200966923<21> × 151072679292396361548824834599<30>
1059-7×1029-1 = 99999999999999999999999999999299999999999999999999999999999<59> = 368572252583<12> × 1419515173027907<16> × 191133725113584418887941927137379<33>
1061-7×1030-1 = 9999999999999999999999999999992999999999999999999999999999999<61> = 769 × 1308411588478906396849933<25> × 9938693057181485043670562261622587<34>
1063-7×1031-1 = 999999999999999999999999999999929999999999999999999999999999999<63> = 317 × 10987 × 49741 × 4649339 × 20711497 × 2900338505025763<16> × 20667869429991283340429<23>
1065-7×1032-1 = 99999999999999999999999999999999299999999999999999999999999999999<65> = 2164535610451<13> × 46199286127320456491163235758678361809365685983782949<53>
1067-7×1033-1 = 9999999999999999999999999999999992999999999999999999999999999999999<67> = 367 × 1013 × 33617 × 4045763 × 956464973 × 206774046923017974178724028448156679002043<42>
1069-7×1034-1 = 999999999999999999999999999999999929999999999999999999999999999999999<69> = 156511 × 605778599 × 10547297772287232120877843824250903001948313146748395191<56>
1071-7×1035-1 = 99999999999999999999999999999999999299999999999999999999999999999999999<71> = 1619 × 1647280127041391<16> × 1643479245242580227<19> × 22815052276530734674485880911517753<35>
1073-7×1036-1 = 9999999999999999999999999999999999992999999999999999999999999999999999999<73> = 131 × 1877 × 4730269 × 38584648463453530566055973<26> × 222825066635850970198951407381447121<36>
1075-7×1037-1 = 999999999999999999999999999999999999929999999999999999999999999999999999999<75> = 2267 × 35831 × 419882909269851194684129<24> × 29319823610349718187062827530908751420618203<44>
1077-7×1038-1 = 99999999999999999999999999999999999999299999999999999999999999999999999999999<77> = 336899 × 1282657 × 231414060364729755320541953515328899522337120965491931492340421493<66>
1079-7×1039-1 = 9999999999999999999999999999999999999992999999999999999999999999999999999999999<79> = 331 × 4931 × 6126846554966084840894985237363225809214287070944594313918786198175302559<73>
1081-7×1040-1 = 999999999999999999999999999999999999999929999999999999999999999999999999999999999<81> = 373 × 1291139 × 10899697 × 75411827 × 39669772243<11> × 571482481373<12> × 111429877238054909080802692544333437<36>
1083-7×1041-1 = 99999999999999999999999999999999999999999299999999999999999999999999999999999999999<83> = 761 × 12149 × 44189496733<11> × 810297372421463<15> × 6465752309654563<16> × 46718862642650617634127078501296683<35>
1085-7×1042-1 = 9999999999999999999999999999999999999999992999999999999999999999999999999999999999999<85> = 97014041 × 357566120950464235927585600631<30> × 288276368143785857996479750280845867947450935969<48>
1087-7×1043-1 = 999999999999999999999999999999999999999999929999999999999999999999999999999999999999999<87> = 17 × 58823529411764705882352941176470588235294113529411764705882352941176470588235294117647<86>
1089-7×1044-1 = 99999999999999999999999999999999999999999999299999999999999999999999999999999999999999999<89> = 17 × 5571559771<10> × 575207833999709488073<21> × 27427091052889042865456723<26> × 66922128285880634318721216056983<32>
1091-7×1045-1 = 9999999999999999999999999999999999999999999992999999999999999999999999999999999999999999999<91> = 227 × 39079 × 818861533042451<15> × 1376639513046334505087599718409948368697036378074109797717236234033553<70>
1093-7×1046-1 = 999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999<93> = 173 × 31464780866796657207031<23> × 183708472189265552171256057870678971434280389094498140482388867648573<69>
1095-7×1047-1 = 99999999999999999999999999999999999999999999999299999999999999999999999999999999999999999999999<95> = 1467136308647<13> × 225730318172089<15> × 135932507737607079122779<24> × 2221346521636550338659780833602789543266260707<46>
1097-7×1048-1 = 9999999999999999999999999999999999999999999999992999999999999999999999999999999999999999999999999<97> = 41941 × 82183891 × 1813347328491823674543198431724239211389<40> × 1599902521762693438787591381215338979751428261<46> (Makoto Kamada / GGNFS-0.50.2-k2 / Total time: 0.43 hours (actual time: 0.52 hours))
1099-7×1049-1 = 999999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999999<99> = 47 × 5584583 × 3809880835271111748868230131782901819435643037649573873781794889038001698300100892121315399<91>
10101-7×1050-1 = (9)502(9)50<101> = 139 × 673 × 1068981367654761777502218136337883630688317102632893625664104674655520754273253017199910205565117<97>
10103-7×1051-1 = (9)512(9)51<103> = 109 × 347 × 479 × 95597 × 96601 × 107581 × 279863 × 22761204866749602731<20> × 87218039076828850959861664839941665588630867531057358107<56>
10105-7×1052-1 = (9)522(9)52<105> = 263 × 373 × 2667600042931<13> × 6828094416452291<16> × 6583470735125718395053<22> × 85008093615649948794042003413989433068137041908577<50>
10107-7×1053-1 = (9)532(9)53<107> = 383573 × 260706566937714594092910606325262727042831481882197128838578314949175254775492539881587077296890031363<102>
10109-7×1054-1 = (9)542(9)54<109> = 15575939 × 49294699 × 3251950302580251089849442830097243673<37> × 4004991911122812313206006402584252891736108995278772639383<58> (Kenichiro Yamaguchi / msieve.exe 0.88 for P37 x P58 / 10:17:22 on Pentium4 2.4BGHz / May 28, 2005 2005 年 5 月 28 日)
10111-7×1055-1 = (9)552(9)55<111> = 733 × 2791 × 5393 × 1336891 × 67796889490723267706722347052500937570521090827341589269006205897234820145257628597246880415991<95>
10113-7×1056-1 = (9)562(9)56<113> = 18699203 × 67228147867<11> × 261946999079<12> × 303677300083244831632250154883642907712328922365362173528681542177077487261849867481<84>
10115-7×1057-1 = (9)572(9)57<115> = 67 × 1597 × 78853 × 15698663 × 4453729593176247033369383<25> × 7402911973339244342588281<25> × 2289881259627362886427200690921129350158747087133<49>
10117-7×1058-1 = (9)582(9)58<117> = 2039 × 7753 × 5869294693987<13> × 10777724414020322846126170248245847850469639190337549637670845306707420235947470188250395037359131<98>
10119-7×1059-1 = (9)592(9)59<119> = 17 × 22395757 × 41946286906913353<17> × 123658819313817785102748137207<30> × 50636853728000579351440494333921542032222013836569228421518693701<65> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=3000000, sigma=1215098690 for P30 / May 20, 2005 2005 年 5 月 20 日)
10121-7×1060-1 = (9)602(9)60<121> = 172 × 2679387385562077<16> × 1335873289098187876976634772360781468609<40> × 9667215115747825770030400192699700127010095463540775936360554987<64> (Anton Korobeynikov / GGNFS-0.77.1 / 3.44 hours / May 31, 2005 2005 年 5 月 31 日)
10123-7×1061-1 = (9)612(9)61<123> = 269 × 673 × 98037133 × 56343270642372413547462477350259424716300787338975763923358531262102920779426938345908773453625377377787088519<110>
10125-7×1062-1 = (9)622(9)62<125> = 71 × 26144460523<11> × 472286871059656343279061123671<30> × 55356921844173914450279278756291<32> × 2060554760283018418628476621621143873632350669384223<52> (Kenichiro Yamaguchi / GGNFS-0.77.0 / 6.20 hours on Pentium 4 2.4BGHz / June 5, 2005 2005 年 6 月 5 日)
10127-7×1063-1 = (9)632(9)63<127> = 97 × 701 × 54799 × 279354377 × 717976517 × 2835109296977<13> × 145195695426547<15> × 61474340889102797765273<23> × 528754973956412310078619620613655505879245820268651<51>
10129-7×1064-1 = (9)642(9)64<129> = 139 × 179 × 13099 × 84155191976690091375532717318429<32> × 36459701740409770008678743621002179900547434706089737737604298284369304773209328624822449<89> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=2973101344 for P32 / May 30, 2005 2005 年 5 月 30 日)
10131-7×1065-1 = (9)652(9)65<131> = 47 × 769 × 49199 × 485897117863919<15> × 758238983448091<15> × 152640259108836065578323345688715951253788676773987291695922346345612194208611759982230106883<93>
10133-7×1066-1 = (9)662(9)66<133> = 12659 × 746602123 × 4410268848809<13> × 4106583907717825483024796569<28> × 16190892924788094823835303809<29> × 3608234986227038227691374458344815738114921516487663<52> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=810115398 for P28, msieve 0.88 for P29 x P52 / May 26, 2005 2005 年 5 月 26 日)
10135-7×1067-1 = (9)672(9)67<135> = 1759 × 11202396544008702793<20> × 50748501006699662535505093076974286313180024697117500554973596240482675920806086770558738333064264593039698537177<113>
10137-7×1068-1 = (9)682(9)68<137> = 15511 × 66037 × 30477113 × 7097309627<10> × 145231263439<12> × 225171188093<12> × 20720716874674361792249<23> × 666081816298578810840362779064227851634546720747815255220148963909<66>
10139-7×1069-1 = (9)692(9)69<139> = 11640271 × 8594963011<10> × 100985135531476103167999<24> × 889631446596705888137903<24> × 1112564806943572976320554443825519370722463398257969779350986386082506281707<76>
10141-7×1070-1 = (9)702(9)70<141> = 2144063848942308174619150267<28> × 466404020800645335317603705077097139450003543693708997687015676910602837533958429083018374604282996186473046432397<114> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=3912877471 for P28 / May 29, 2005 2005 年 5 月 29 日)
10143-7×1071-1 = (9)712(9)71<143> = 631 × 4993 × 113021 × 711889 × 8174189 × 1018445325323<13> × 124081059014402609188910712167753797<36> × 381900090388147519926382272844193239916998973958499765471774268565374743<72> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=11000000, sigma=4224398204 for P36 / July 8, 2005 2005 年 7 月 8 日)
10145-7×1072-1 = (9)722(9)72<145> = 107 × 269 × 4025029 × 7691253463<10> × 10037114963<11> × 1357432142821<13> × 823703246538141133108995931540283390161164324078153224904984920530185346213774608028999938448706464693<102>
10147-7×1073-1 = (9)732(9)73<147> = 1523 × 33359 × 163141831126890373902190714753<30> × 6771196048922895791023493473450472633<37> × 17817893241367170326405819488787733173549447168880253186019589405975907843<74> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=1818063565 for P30 / May 6, 2005 2005 年 5 月 6 日) (Sinkiti Sibata / GGNFS-0.77.1 gnfs / 50.84 hours for P37 x P74 / July 29, 2005 2005 年 7 月 29 日)
10149-7×1074-1 = (9)742(9)74<149> = 9721 × 4189623909880529<16> × 7690770857933312118597753750628516117910872540228607770081<58> × 319259732546553198230034160874462037912072645302944776190499583078669031<72> (Sinkiti Sibata / GGNFS-0.77.1 / 64.62 hours / September 20, 2005 2005 年 9 月 20 日)
10151-7×1075-1 = (9)752(9)75<151> = 172 × 6230153 × 772038462749<12> × 1375058674458523<16> × 5231705363333506832058567959119668521872579487266650018676731183489928905287274299448455542573451594011537716712361<115>
10153-7×1076-1 = (9)762(9)76<153> = 17 × 211741 × 83491021 × 1096407467<10> × 155463559909375465619621<24> × 19521165973306877964234323934966750936993133062827102826185067490397498839062594842972873043829543791693361<107>
10155-7×1077-1 = (9)772(9)77<155> = 199 × 619 × 4289 × 13711 × 35755021 × 41525746087419388733<20> × 36657522330835579700666604430670763490190943293<47> × 253637525847050716244066106459667276977130462301438964753300582099649<69> (Dmitry Domanov / Msieve 1.40 gnfs for P47 x P69 / February 16, 2011 2011 年 2 月 16 日)
10157-7×1078-1 = (9)782(9)78<157> = 263 × 26319623163747081556922129784166985861<38> × 1444656462277390835210043740203116962499385270342686018690953168519217394909824071530484341603602863004614587295720693<118> (Serge Batalov / GMP-ECM B1=3000000, sigma=2409943788 for P38 / February 14, 2011 2011 年 2 月 14 日)
10159-7×1079-1 = (9)792(9)79<159> = 751 × 10201589 × 28914163 × 3394569438078682206674496899<28> × 1329832426052235255914542158088694231261627060949062940627603895104176211694632122462781601022626779116989205579093<115>
10161-7×1080-1 = (9)802(9)80<161> = 97 × 1030927835051546391752577319587628865979381443298969072164948453608247422680412363917525773195876288659793814432989690721649484536082474226804123711340206185567<160>
10163-7×1081-1 = (9)812(9)81<163> = 35649919 × 289018382857063<15> × 1575838546432930336397673403<28> × 20374867261845196861085172115306080073283649258983412959<56> × 30228004505778269816386878084236829923537477502030447349771<59> (Dmitry Domanov / Msieve 1.40 gnfs for P56 x P59 / February 16, 2011 2011 年 2 月 16 日)
10165-7×1082-1 = (9)822(9)82<165> = 20178956390111<14> × 49556576696407599500575498119476144014241469303974207999527713083682045850722575095498771438912834499181980509279984630734905994114615628774510556599009<152>
10167-7×1083-1 = (9)832(9)83<167> = 138889 × 2732349857<10> × 263509236255341220614180043822903485008853874968902562413903686693716646008708973194457604923593792756680481037374517399080122023895465291925045500537063<153>
10169-7×1084-1 = (9)842(9)84<169> = 54121 × 25027517 × 3166057638463474129<19> × 165766414683886612447978757<27> × 14066986190956609846556252048272135803235330406327688764389695072283597019249625442179402104168722309102712593319<113>
10171-7×1085-1 = (9)852(9)85<171> = 1536487 × 3733799609<10> × 5304344021362817<16> × 44027096364631459327831871693<29> × 746394407395301600599279988078226806410044947596092949977864555644070195292503192789832320873735833673168143413<111> (Serge Batalov / GMP-ECM B1=250000, sigma=2943646302 for P29 / February 14, 2011 2011 年 2 月 14 日)
10173-7×1086-1 = (9)862(9)86<173> = 2791 × 100565797 × 2242778425861<13> × 158855952851842937927264334320027111488655772761008597122652234989489715790671276067918801608530611524213276283997068081355259051714954335933447756017<150>
10175-7×1087-1 = (9)872(9)87<175> = 11489 × 2355883896728877766073581400862753003635342597964227250414328302524178720797452388507<85> × 369456989366175137591610721639326867415594958166028325308431796486402002372601873120013<87> (Dmitry Domanov / Msieve 1.40 snfs / March 14, 2011 2011 年 3 月 14 日)
10177-7×1088-1 = (9)882(9)88<177> = 1553 × 6000099772637<13> × 5333899468227333920687102375278321335475392731<46> × 223018212562717917367856725303053690550289461772848301633<57> × 90216280027675092777712272443938186291571654799161033693633<59> (Robert Backstrom / Msieve 1.44 snfs / January 7, 2012 2012 年 1 月 7 日)
10179-7×1089-1 = (9)892(9)89<179> = 173 × 578034682080924855491329479768786127167630057803468208092485549132947976878612716763005776300578034682080924855491329479768786127167630057803468208092485549132947976878612716763<177>
10181-7×1090-1 = (9)902(9)90<181> = 67 × 4229767 × 383323559 × 127793497651439371<18> × 104218372690016249713<21> × 91119124391406930625069<23> × 515753241266959536564067602299<30> × 2415099939341643093294567373567<31> × 60898077963831206774646643461611881757161919<44> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2689190187 for P31 / February 13, 2011 2011 年 2 月 13 日) (Makoto Kamada / Msieve 1.49 for P30 x P44 / February 14, 2011 2011 年 2 月 14 日)
10183-7×1091-1 = (9)912(9)91<183> = 17 × 19362041 × 714994277 × 2719534980510269673667647393696073963473635970964789091<55> × 1562437767370029533235730515001075729717098907445702130452035208257976907393687762267045142783886978392905476681<112> (Dmitry Domanov / Msieve 1.40 snfs / February 5, 2012 2012 年 2 月 5 日)
10185-7×1092-1 = (9)922(9)92<185> = 17 × 489793121 × 12009872513453431266616939925636601220312793581896554143195442041719151245731046228441271660333362280448822151491468530589240830301733958119071928353531747299392841363467389807<176>
10187-7×1093-1 = (9)932(9)93<187> = 4589546537<10> × 1523051128147905814524257<25> × 425908329742595314814748537227<30> × 204580239894126042610714779069587<33> × 1234556118432236336718438173854514334697<40> × 13299186791414928574244124912615559200877771815881087<53> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=839370670 for P30 / February 13, 2011 2011 年 2 月 13 日) (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2592950813 for P33 / February 13, 2011 2011 年 2 月 13 日) (Norbert Schneider / Msieve v. 1.47 for P40 x P53 / February 15, 2011 2011 年 2 月 15 日)
10189-7×1094-1 = (9)942(9)94<189> = 3877 × 423184631202708564140232253391<30> × 16549765112320687994876138838267798866523372393470859571<56> × 36828368301561902317238805645372006318140082754036145681498377825127722275695013829348060020816290767<101> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=977223473 for P30 / February 13, 2011 2011 年 2 月 13 日) (Dmitry Domanov / Msieve 1.40 snfs / April 8, 2012 2012 年 4 月 8 日)
10191-7×1095-1 = (9)952(9)95<191> = 47 × 467 × 26298538841619345407567<23> × 7881385003174033472124290040778542176330443114884641365159<58> × 21981184865172419984770464009366392347393009271157709007089844434637369069539548359694637888222094561264467<107> (Dmitry Domanov / Msieve 1.40 snfs / April 8, 2012 2012 年 4 月 8 日)
10193-7×1096-1 = (9)962(9)96<193> = 139 × 62844437917505925187863725241811723<35> × 222139345404887071059790617024941232259087298352136747209718223<63> × 5153388283530189468476118684382195960834350461141150783373164505986269081726163817736057931929<94> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3488428613 for P35 / February 14, 2011 2011 年 2 月 14 日) (Dmitry Domanov / Msieve 1.40 snfs / April 15, 2012 2012 年 4 月 15 日)
10195-7×1097-1 = (9)972(9)97<195> = 71 × 52259 × 451181 × 516160697129351<15> × 5806772491120292728002357013496940469773827945584141161135031059531250564433<76> × 199301244573385037686482023924494382886439070809143134747775086021439829394644641386352896617<93> (Dmitry Domanov / Msieve 1.40 snfs / April 15, 2012 2012 年 4 月 15 日)
10197-7×1098-1 = (9)982(9)98<197> = 1226111 × 81558684327927895598359365506059402452143403003480109060272683305181994126143554702632959006158495682691045101136846500846986936745531195788962010780426894465509240191140932590931816124315009<191>
10199-7×1099-1 = (9)992(9)99<199> = 2243 × 12799 × 374317 × 3284569934952963341<19> × 371592018921308992073<21> × 134277080100091995499481<24> × 5678169546616171355361766971872955541468088470732476800411232027449981186348815730156840000171508690707321249658588869011187<124>
10201-7×10100-1 = (9)1002(9)100<201> = 859513 × 6000592110389<13> × 193889121838558135880794183304821306922764808056987803452659149032124084628584592385949025628116841933108214383731918000149609615555974845164843076098613689899493941948918421417717307<183>
10203-7×10101-1 = (9)1012(9)101<203> = 2915111 × 1078761927125908796473153817<28> × [31799426919428146992138289640140513055597460913829180852762119158057434593092360409541107046816077693271675495263411925550336351514037554976505520595664093615865763655377<170>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3889787504 for P28 / January 20, 2012 2012 年 1 月 20 日) Free to factor
10205-7×10102-1 = (9)1022(9)102<205> = 233 × 523 × 5527 × 1266017220067<13> × 9943116614712582817662347419<28> × 1179480539331713789729154898072960746887843732788835606500889872056807003209853928644974672136350567393908193722219055668956162652337361200411358476750550691<157> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3855679178 for P28 / January 20, 2012 2012 年 1 月 20 日)
10207-7×10103-1 = (9)1032(9)103<207> = 21297780538485595883<20> × 316494223358171731801<21> × 23001139412613990604854440952971<32> × 1676778912489027073002027706250465552791973816715317699<55> × 3846579483533180699200278357177429384459197807603265117183940878641115055382027557<82> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2864170560 for P32 / January 20, 2012 2012 年 1 月 20 日) (Dmitry Domanov / Msieve 1.40 gnfs for P55 x P82 / March 1, 2012 2012 年 3 月 1 日)
10209-7×10104-1 = (9)1042(9)104<209> = 551736821 × 1998021044011<13> × 4392901342369<13> × 459142066547992265360617802357<30> × [44974820559163442428070536484678919114670589864052806651620819274559656592162398577065585259062792578200358526391037270434945347494974453405710213<146>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3887057208 for P30 / January 16, 2012 2012 年 1 月 16 日) Free to factor
10211-7×10105-1 = (9)1052(9)105<211> = 5234577113<10> × 396314153260009<15> × 4820352694724440013535195843573317149753973867998921680088215662510987980328777570573244955829074366683692231170481497029184279845333568364192586644372666494458796773117967249780416683647<187>
10213-7×10106-1 = (9)1062(9)106<213> = 977 × 5749 × 395959 × 2729539 × 43504861287127<14> × [3786481302700823983344447352286589406120193185723425671983076914117928648655833311713055657413380205080416456140777311202612277627665268099985805423967866758994958936578361360155169<181>] Free to factor
10215-7×10107-1 = (9)1072(9)107<215> = 17 × 2111507 × 1313467043623644241729657606686395917<37> × 2120993671918983160138289859129839464899781832363779002760988973623765013402372831623638107876472974331007265432774826382784440770575798165984683291249096675252564861638313<172> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3033301501 for P37 / January 22, 2012 2012 年 1 月 22 日)
10217-7×10108-1 = (9)1082(9)108<217> = 17 × 74493284315993019013800367061<29> × 7896487576281535795755221298367443269254718678838270612482490767989783877541721428560127405587696687704912092814741897981818749550170349055818488691949832395627982526174907007013695987027<187> (Serge Batalov / GMP-ECM B1=50000, sigma=777148027 for P29 / January 20, 2012 2012 年 1 月 20 日)
10219-7×10109-1 = (9)1092(9)109<219> = 222389 × 4169514726131<13> × [1078452908331097070782424906015365118671436504990374030353333754062062215312656577901808752910306494685848280354256046827169296301202914134677630842475341499166780840549010024039371957894233641944484561<202>] Free to factor
10221-7×10110-1 = (9)1102(9)110<221> = 109 × 139 × 317 × 1773041 × 1969667459<10> × 9577851442843<13> × 31431538746282304832603264238214247<35> × 19804049900524144919205606516885050710409815302058203938269768869993651080508572186460126441500512091649083510676187020346999635854387554627876761321203<152> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3880320897 for P35 / January 21, 2012 2012 年 1 月 21 日)
10223-7×10111-1 = (9)1112(9)111<223> = 47 × 95400059 × 297216001603<12> × [7503801056986530936692567278480841411047750998322243206566344397126704772658551223136954194820895430820370024109059938699532482926298206809610489959216010856380642989222679405343164327247036999951947521<202>] Free to factor
10225-7×10112-1 = (9)1122(9)112<225> = 33887177 × 291134717594509<15> × [101360935719850308866986853008745961410460847873560517493727376316292560723787621050329048441909365462944248857267615786736425251978237108547720663067801103537597863284527472561866712292771800625121811043<204>] Free to factor
10227-7×10113-1 = (9)1132(9)113<227> = 715159 × 2851097 × 1664172977<10> × 191142915609889<15> × 5545922256127177855195649308618662460105567<43> × [27800649944863113595827554864108248622737083044975902374001549113803957351460163526165333283082761542951444930029075800071519479955773868974050834863<149>] (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2211870427 for P43 / February 5, 2012 2012 年 2 月 5 日) Free to factor
10229-7×10114-1 = (9)1142(9)114<229> = 162870139 × 2323259780168425907<19> × 26427784629669510559700051007399595168499449138317612236629011703473741267941368488635920670193094719205483436106869621915104197977899373932045902654192440080809572691729509286308173587191798571586148863<203>
10231-7×10115-1 = (9)1152(9)115<231> = 70079 × 73714347205271<14> × 163721942303661093325017703<27> × 32300149130722840060812681872191591<35> × [36605695638147534784755477709163458182415851744347157652145944864762047892255830570273828631217790828838182759660565844517449616952026480355222893816407<152>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2428108871 for P35 / January 21, 2012 2012 年 1 月 21 日) Free to factor
10233-7×10116-1 = (9)1162(9)116<233> = 733 × 30139 × 15504211 × 1864733402789<13> × [156567193325686156453162801553718713696906938207330688351538809298957671669088954130208025069759864727004978596503170482708238354335324560527842529515682179253152085639508898470494626810312371604767828994063<207>] Free to factor
10235-7×10117-1 = (9)1172(9)117<235> = 2791 × 15187 × [235921852962318538052673186870373233325745300135888628087765854732959228905466278663296035425270490892272254667637186092114224773648906807730319239778632637990632817196872327374033832184586578920094613156224596377226491844169747<228>] Free to factor
10237-7×10118-1 = (9)1182(9)118<237> = 167 × 4517 × 90771589 × 973734490068431758063<21> × 14998331456364168298203705772776530106310543129275490720882300575234228225204659591128724889798128966313536435336272119239427263615712081288456772117590497294508858333054230840928010660258567582393421663<203>
10239-7×10119-1 = (9)1192(9)119<239> = 369581 × [270576680078250775878630124384099831971881671406268179370692757474004345461482056707460610799797608643301468419642784665066656565137277078637700531142022993606273049750934165987970160803720970504436104669882921470530140889277316745179<234>] Free to factor
10241-7×10120-1 = (9)1202(9)120<241> = 9811 × 38037959287<11> × 44110914317824128720623<23> × [607468069907495831530702006017327017954249226682221713186350208756738855551041037905196253425941326351695441827808166708423930104240588987827942477676631943451184212180501080418373023130541737573168822509<204>] Free to factor
10243-7×10121-1 = (9)1212(9)121<243> = [999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<243>] Free to factor
10245-7×10122-1 = (9)1222(9)122<245> = 37049 × 206967707231<12> × 183503349887180231<18> × [71068463203520727353466326321897053860184272992251031940127553355558823820409865742532787629956231529496853294479327373437269691517734854780428213158295721176698750657491052391661007151052153115811872895642339791<212>] Free to factor
10247-7×10123-1 = (9)1232(9)123<247> = 17 × 67 × 971 × 8803 × 6282777961609<13> × 84114993224783<14> × 1943574615394898455776654341894963824513996623210609675923951230005614828817965310536097785238325591901152337466463986586073383826562480913781279710906759522516655885067116715341016475627057603995223181922544531<211>
10249-7×10124-1 = (9)1242(9)124<249> = 17 × 24103 × [2440506551539837608694060539205517497211721264865735532067035833957696259435608454890897154613411559703332023594817340287149830018718685250310554458683444335706319203613902101520191530954164846455530309871116849013181175884866662924556620972249<244>] Free to factor
10251-7×10125-1 = (9)1252(9)125<251> = 107 × 331 × 444167 × 16927880643327821<17> × 375525429436682171824145660517526571223153704515446224112441926721449865846849160914587623021521673013721896765849495396202572281890075689068984457642494528544793048897394046202465703306043986859502337003980115178641473412021<225>
10253-7×10126-1 = (9)1262(9)126<253> = 211857628677636264166676902114066256198845941934180788645905936104472665184004014226679863567582409810768749673482061<117> × 47201510100993602326827859852217555163129145401663287219390072454758015933440888931227171966024510895342063068118093723212737563878094459<137> (Serge Batalov / Msieve 1.52 for P117 x P137 / November 11, 2013 2013 年 11 月 11 日)
10255-7×10127-1 = (9)1272(9)127<255> = 283 × 921911 × 2181737 × 4189072884446378897074977663209<31> × [419376657632480139127970360950645249825498156450803961919368008965715595429576826858056280170249687860061520685478363186947129933810783325987643839142379877493923693514576568914272695875752016515669428254774731<210>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1676407086 for P31 / January 21, 2012 2012 年 1 月 21 日) Free to factor
10257-7×10128-1 = (9)1282(9)128<257> = 2969 × 135528771766653583399007<24> × 84699266347993099839843797728655895358021<41> × [2934125267098307749294603143539595747061749698837949399698402928603808738373032306578423160330498716732576169335302526806078298492497530453420609273210148387360100114762252717846554225000693<190>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3153677333 for P41 / January 29, 2012 2012 年 1 月 29 日) Free to factor
10259-7×10129-1 = (9)1292(9)129<259> = 120917 × 44074447 × 1876401469751180118692418420950102543072868983938811729338193041135770268728002011524428544458778907971515513727668539283777596999296436006680186636503864337797744448292955319547314003701608461617615829968764587792730314259385229644072735971317901<247>
10261-7×10130-1 = (9)1302(9)130<261> = 167 × 4261 × 42703 × 224911 × 3959985733817<13> × 389453204769636140801038803763013183<36> × [94875484861890413300347903446564968964885578964002363643494143088501409563489163018713411988434389934787867601070170301994954062360879032478072910509868905326685352786891663493821908217800914038979<197>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2285285033 for P36 / January 23, 2012 2012 年 1 月 23 日) Free to factor
10263-7×10131-1 = (9)1312(9)131<263> = 444682666156969<15> × 2236002663332944101563716515326771110873537<43> × [100572091685046366322455265338021603578610261204126604102516771812062512888805840017468414135202268750473398401083412855625114786124508146649212968611150962004858046871662159834085262503171648563814799282983<207>] (Dmitry Domanov / GMP-ECM B1=43000000, sigma=4071704944 for P43 / February 7, 2012 2012 年 2 月 7 日) Free to factor
10265-7×10132-1 = (9)1322(9)132<265> = 71 × 173 × 121171 × 865687 × 15928233467981909089273649495028857651<38> × 21586029968755843092641989855451671957<38> × [22573326950553357320175305558217848970990408687931924688345464439367482473276672028430397715131373293614608161073186030342904144850641681735918871343933706456387221070895479127<176>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3465797344 for P38(2158...) / January 20, 2012 2012 年 1 月 20 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2355155821 for P38(1592...) / February 7, 2012 2012 年 2 月 7 日) Free to factor
10267-7×10133-1 = (9)1332(9)133<267> = 1668137 × 4078369003133<13> × 146987961632210407598457391845586044492622918201261875069762876233359289648121283694915520097972215526520706394596458981054805908103299149967678834851222652982442070206921538895106969512492259513392645511611346220015081563250637190517496908940992819<249>
10269-7×10134-1 = (9)1342(9)134<269> = 110059 × 908603567177604739276206398386320064692573983045457436465895565105988606111267592836569476371764235546388755122252609963746717669613564542654394461152654485321509372245795436992885634068999354891467303900635113893457145712754068272472037725220109214148774748089661<264>
10271-7×10135-1 = (9)1352(9)135<271> = 13763 × 1041311 × 4834787661147079<16> × 2078900694290779246631<22> × 1295849772131455691932463459<28> × 53572341417705120996614912510638357880927319266849339007964719422992445981295198081474609359975987728953038977236131090186281860261427411590208214283956002374950621029399131879760532145904590594473<197>
10273-7×10136-1 = (9)1362(9)136<273> = 691 × 1471 × 3567265969<10> × 3869284633<10> × [71275965768647034292323979936758096960540270499075528758586960706426056704056152317703536630485603307674840278395684525908689043691237630430303758301651140440782921817895621504889038252383075388979105756233775406822307932358144316944856156705808867<248>] Free to factor
10275-7×10137-1 = (9)1372(9)137<275> = 64651384567351079297<20> × 1353707612333292459412272643<28> × [1142608100821948527987939131563954558317547564591804132468408357172747311665443782853184563542219222322886798952400880538671754014336623311014956258941392320147391913656420440549771528687263532276793938130916247049059177275354069<229>] Free to factor
10277-7×10138-1 = (9)1382(9)138<277> = 134248909703<12> × 6322798780079<13> × [11780938039973101136888105202498608723528738440951661828852489037181961931277019853191878302936345714376728048504919399695875909508414497991535947769455298974303014233910172972302035970600847770048776505849328371420318640929870830455103084536946290315527<254>] Free to factor
10279-7×10139-1 = (9)1392(9)139<279> = 17 × [58823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294113529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647<278>] Free to factor
10281-7×10140-1 = (9)1402(9)140<281> = 17 × 823 × 3188981 × 6375805857100152749671<22> × [351531483833015837796823485970510548365000973836128614360818417029311504274960089118761335148151888815870641160736839169072548486077650798607625430959306010960733711328695483750178562703643812259630502973322429348543391244665299933971283736103173139<249>] Free to factor
10283-7×10141-1 = (9)1412(9)141<283> = 47 × 4271 × 7522295270629487<16> × [6622503461539197382190120126331608857837976286271722789845473582153983030211672458801043150670379667875022257089982120486776452343052233688802045965960367100578268910588074352011145217657398062544106949147190165663476592183469653634419177997214464094456828266321<262>] Free to factor
10285-7×10142-1 = (9)1422(9)142<285> = 139 × 463537 × 15520324384712648100561396517546510493299076666413737113610466211454517774752383700660869380593010797505194768973996208664118653624896698660934814280616746029586735821714184752358402532122298976606882428871168161892131169152399233401513601011229839350829529521697902380046400493<278>
10287-7×10143-1 = (9)1432(9)143<287> = 35967569559389162966115414457<29> × 11942977471274916459463787068482526951<38> × [232796418610001704413055469259523178173691708003450981174420645685210526713650271585547372466091387639487736685129752456888577518711910833057840062082772943102940983378128201533210163558904654164043481948648848229551062257<222>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1848278955 for P38 / January 20, 2012 2012 年 1 月 20 日) Free to factor
10289-7×10144-1 = (9)1442(9)144<289> = 1319 × 34601689 × 63246374009785877<17> × 480557956097413259733703651633348303057159013<45> × [7209024514096482068021466204755984285762154711194812267800098481576368431477104449064111649620907732744397778754311212751163155832985841027919164342127688136029278874761335467844772273906856927578725222354722243486089<217>] (Dmitry Domanov / GMP-ECM B1=43000000, sigma=975195925 for P45 / February 8, 2012 2012 年 2 月 8 日) Free to factor
10291-7×10145-1 = (9)1452(9)145<291> = 293651512049864219809865429<27> × 29082967569374257211050253224007<32> × [117092489484861416331717328761289041757424772585026176552931444086405541288748843798683597770539707584066241792462565422140446745815336466372839671130976803035760808731418377524874326312056386065327564724321209945387685804926832239333<234>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1881620711 for P32 / January 19, 2012 2012 年 1 月 19 日) Free to factor
10293-7×10146-1 = (9)1462(9)146<293> = 1205986139<10> × [82919692661575441208284069672877061151695376160538110463307737900957748901623155388521426447339955704084588985479210387508442167924452405335647061943553565170785101370058118056031819781968489108812219938789860336860803671309857401271508312086827392632246497154806851391183360856189741<284>] Free to factor
10295-7×10147-1 = (9)1472(9)147<295> = 104711 × 1168473515707<13> × 246051711060775093<18> × [332171547756674332074368479823305155463231085705002010575622141297185880015109270648052402922071725331750222554338612365162949873881162895150546688805863841969079501980710714799261213147630832319576400092118891728941765361130163468866688458166541553341245087359<261>] Free to factor
10297-7×10148-1 = (9)1482(9)148<297> = 223 × 307 × 761 × 2791 × 104709127694882661749<21> × 162725035851868910633<21> × 403620625132518726725524789230088407748083402998131105730460339123488826711126912194748284743384248175725465451140086334952635796682140704382373524025741857339122980483537994719427642800209554125782583472672034085617236406979685715775041737737977<246>
10299-7×10149-1 = (9)1492(9)149<299> = 257 × 331 × 367 × 147097 × 197728969 × 110128240661413260567068523912021665320050498525846414813232364992772755827616519009368041361289190326593652816235923526335483349105542811480562235812193555670433868304200868371022438313473733455451715032393898140981135648692716133100670531255735518255280733715956849670220719187<279>
10301-7×10150-1 = (9)1502(9)150<301> = 489327896719492242493<21> × [20436194353604391065622778380947513487093148875041835145894583928830993903650630783290547732263984186471008490832666178099033574618542919861668192177936577435607983860632111567289943486003082265574339099669804614168495397435405166329309489773473813744429717046843488552177513489643<281>] Free to factor
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