Table of contents 目次

  1. About 99...991 99...991 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
    4. Algebraic factorization 代数的因数分解
    5. Related sequences 関連する数列
  2. Prime numbers of the form 99...991 99...991 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
    4. Prime factors that appear periodically 周期的に現れる素因数
    5. Difficulty of search 捜索難易度
  3. Factor table of 99...991 99...991 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...991 99...991 について

1.1. Classification 分類

Near-repdigit of the form AA...AAB AA...AAB の形のニアレプディジット (Near-repdigit)

1.2. Sequence 数列

9w1 = { 1, 91, 991, 9991, 99991, 999991, 9999991, 99999991, 999999991, 9999999991, … }

1.3. General term 一般項

10n-9 (1≤n)

1.4. Algebraic factorization 代数的因数分解

  1. 102k-9 = (10k-3)×(10k+3)

1.5. Related sequences 関連する数列

2. Prime numbers of the form 99...991 99...991 の形の素数

2.1. Last updated 最終更新日

June 11, 2013 2013 年 6 月 11 日

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

  1. 103-9 = 991 is prime. は素数です。
  2. 105-9 = 99991 is prime. は素数です。
  3. 107-9 = 9999991 is prime. は素数です。
  4. 1033-9 = (9)321<33> is prime. は素数です。
  5. 1045-9 = (9)441<45> is prime. は素数です。
  6. 10105-9 = (9)1041<105> is prime. は素数です。 (Makoto Kamada / PPSIQS / May 29, 2003 2003 年 5 月 29 日)
  7. 10197-9 = (9)1961<197> is prime. は素数です。 (Makoto Kamada / pock 0.1.1a / May 29, 2003 2003 年 5 月 29 日)
  8. 10199-9 = (9)1981<199> is prime. は素数です。 (Makoto Kamada / pock 0.1.1a / May 29, 2003 2003 年 5 月 29 日)
  9. 10281-9 = (9)2801<281> is prime. は素数です。 (Makoto Kamada / pock 0.1.1a / May 29, 2003 2003 年 5 月 29 日)
  10. 10301-9 = (9)3001<301> is prime. は素数です。 (Makoto Kamada / pock 0.1.1a / May 29, 2003 2003 年 5 月 29 日)
  11. 10317-9 = (9)3161<317> is prime. は素数です。 (Makoto Kamada / pock 0.1.1a / May 29, 2003 2003 年 5 月 29 日)
  12. 101107-9 = (9)11061<1107> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / May 29, 2003 2003 年 5 月 29 日) (certified by: (証明: Tyler Cadigan / PRIMO 2.2.0 beta 6 / September 13, 2006 2006 年 9 月 13 日)
  13. 101657-9 = (9)16561<1657> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / May 29, 2003 2003 年 5 月 29 日) (certified by: (証明: Harvey Dubner / Cruncher / December 1, 1994 1994 年 12 月 1 日)
  14. 103395-9 = (9)33941<3395> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / May 29, 2003 2003 年 5 月 29 日) (certified by: (証明: Maksym Voznyy / Primo 3.0.9 / January 3, 2011 2011 年 1 月 3 日)
  15. 1035925-9 = (9)359241<35925> is PRP. はおそらく素数です。 (Jason Earls / January 2008 2008 年 1 月)
  16. 1037597-9 = (9)375961<37597> is PRP. はおそらく素数です。 (Jason Earls / January 2008 2008 年 1 月)
  17. 1064305-9 = (9)643041<64305> is PRP. はおそらく素数です。 (Alexander Gramolin / January 2011 2011 年 1 月)
  18. 1080139-9 = (9)801381<80139> is PRP. はおそらく素数です。 (Alexander Gramolin / January 2011 2011 年 1 月)
  19. 10221631-9 = (9)2216301<221631> is PRP. はおそらく素数です。 (Alexander Gramolin / February 2011 2011 年 2 月)

2.3. Range of search 捜索範囲

  1. n≤30000 / Completed 終了 / Ray Chandler / September 30, 2010 2010 年 9 月 30 日
  2. n≤40000 / Completed 終了 / Bob Price / December 25, 2010 2010 年 12 月 25 日
  3. n≤100000 / Completed 終了 / Bob Price / May 29, 2011 2011 年 5 月 29 日
  4. n≤221631 / Completed 終了 / Alexander Gramolin / February 25, 2012 2012 年 2 月 25 日

2.4. Prime factors that appear periodically 周期的に現れる素因数

  1. 102k-9 = (10k-3)×(10k+3)
  2. 106k+2-9 = 7×(102-97+9×102×106-19×7×k-1Σm=0106m)
  3. 106k+2-9 = 13×(102-913+9×102×106-19×13×k-1Σm=0106m)
  4. 1015k+13-9 = 31×(1013-931+9×1013×1015-19×31×k-1Σm=01015m)
  5. 1016k+6-9 = 17×(106-917+9×106×1016-19×17×k-1Σm=01016m)
  6. 1018k+10-9 = 19×(1010-919+9×1010×1018-19×19×k-1Σm=01018m)
  7. 1021k+17-9 = 43×(1017-943+9×1017×1021-19×43×k-1Σm=01021m)
  8. 1022k+18-9 = 23×(1018-923+9×1018×1022-19×23×k-1Σm=01022m)
  9. 1027k+12-9 = 757×(1012-9757+9×1012×1027-19×757×k-1Σm=01027m)
  10. 1028k+26-9 = 29×(1026-929+9×1026×1028-19×29×k-1Σm=01028m)

Read more続きを読むHide more続きを隠す

2.5. Difficulty of search 捜索難易度

The difficulty of search, percentage of terms that are not divisible by prime factors that appear periodically, is 18.02%. 捜索難易度 (周期的に現れる素因数で割り切れない項の割合) は 18.02% です。

3. Factor table of 99...991 99...991 の素因数分解表

3.1. Last updated 最終更新日

February 1, 2016 2016 年 2 月 1 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=231, 235, 241, 243, 247, 251, 253, 257, 261, 263, 265, 267, 269, 271, 273, 275, 277, 283, 285, 287, 289, 291, 293, 295, 297, 299 (26/300)

3.4. Factor table 素因数分解表

101-9 = 1
102-9 = 91 = 7 × 13
103-9 = 991 = definitely prime number 素数
104-9 = 9991 = 97 × 103
105-9 = 99991 = definitely prime number 素数
106-9 = 999991 = 17 × 59 × 997
107-9 = 9999991 = definitely prime number 素数
108-9 = 99999991 = 7 × 13 × 769 × 1429
109-9 = 999999991 = 67 × 14925373
1010-9 = 9999999991<10> = 192 × 277 × 100003
1011-9 = 99999999991<11> = 83 × 1289 × 934693
1012-9 = 999999999991<12> = 757 × 1321 × 1000003
1013-9 = 9999999999991<13> = 31 × 3391 × 95128471
1014-9 = 99999999999991<14> = 7 × 13 × 769231 × 1428571
1015-9 = 999999999999991<15> = 653 × 718321 × 2131907
1016-9 = 9999999999999991<16> = 643 × 1297 × 77101 × 155521
1017-9 = 99999999999999991<17> = 43 × 19387 × 119955712351<12>
1018-9 = 999999999999999991<18> = 23 × 71 × 307 × 2251 × 6257 × 141623
1019-9 = 9999999999999999991<19> = 5441 × 1837897445322551<16>
1020-9 = 99999999999999999991<20> = 7 × 13 × 769230769 × 1428571429<10>
1021-9 = 999999999999999999991<21> = 17839 × 19813 × 237877 × 11893969
1022-9 = 9999999999999999999991<22> = 17 × 5882352941<10> × 100000000003<12>
1023-9 = 99999999999999999999991<23> = 479 × 857839 × 243365325222311<15>
1024-9 = 999999999999999999999991<24> = 61 × 5507 × 14221 × 1152763 × 181587071
1025-9 = 9999999999999999999999991<25> = 107 × 21569 × 390110923 × 11107033999<11>
1026-9 = 99999999999999999999999991<26> = 72 × 13 × 29 × 547 × 56527 × 3610339 × 48492137
1027-9 = 999999999999999999999999991<27> = 41947 × 3192187 × 5818399 × 1283533681<10>
1028-9 = 9999999999999999999999999991<28> = 19 × 31 × 613 × 839 × 276964579 × 119189511323<12>
1029-9 = 99999999999999999999999999991<29> = 5197 × 19241870309794111987685203<26>
1030-9 = 999999999999999999999999999991<30> = 599 × 2131 × 3733 × 209861 × 14902357 × 67103479
1031-9 = 9999999999999999999999999999991<31> = 64332799 × 1883470517<10> × 82529407366277<14>
1032-9 = 99999999999999999999999999999991<32> = 7 × 13 × 433 × 39323 × 45177491 × 1428571428571429<16>
1033-9 = 999999999999999999999999999999991<33> = definitely prime number 素数
1034-9 = 9999999999999999999999999999999991<34> = 99999999999999997<17> × 100000000000000003<18>
1035-9 = 99999999999999999999999999999999991<35> = 2308769 × 13259446279<11> × 3266586248147987441<19>
1036-9 = 999999999999999999999999999999999991<36> = 47 × 1283 × 949261 × 17469877 × 1000000000000000003<19>
1037-9 = 9999999999999999999999999999999999991<37> = 1787 × 10076191 × 555365703265382231555726123<27>
1038-9 = 99999999999999999999999999999999999991<38> = 7 × 13 × 17 × 43 × 103 × 9431 × 18679 × 155027 × 9486361 × 56335953419<11>
1039-9 = 999999999999999999999999999999999999991<39> = 757 × 22111 × 1299187 × 45985834253851859338253959<26>
1040-9 = 9999999999999999999999999999999999999991<40> = 23 × 373 × 19031 × 155773 × 859249 × 265883581 × 1721071782307<13>
1041-9 = 99999999999999999999999999999999999999991<41> = 2801 × 14489 × 970867 × 192390028511<12> × 13191864450781787<17>
1042-9 = 999999999999999999999999999999999999999991<42> = 67 × 1164288119<10> × 858893931563<12> × 14925373134328358209<20>
1043-9 = 9999999999999999999999999999999999999999991<43> = 31 × 89 × 163 × 631 × 1123 × 31379901759227182253273005491071<32>
1044-9 = 99999999999999999999999999999999999999999991<44> = 7 × 13 × 157 × 601 × 1031137 × 14682887281<11> × 769230769230769230769<21>
1045-9 = 999999999999999999999999999999999999999999991<45> = definitely prime number 素数
1046-9 = 9999999999999999999999999999999999999999999991<46> = 19 × 113 × 3049 × 983513 × 2972507 × 1800293893<10> × 290244589115247419<18>
1047-9 = 99999999999999999999999999999999999999999999991<47> = 3701884489<10> × 27013268592563045799563304526436832319<38>
1048-9 = 999999999999999999999999999999999999999999999991<48> = 3529 × 821461 × 838069 × 411605923 × 37967337697<11> × 26338428255901<14>
1049-9 = 9999999999999999999999999999999999999999999999991<49> = 258551 × 1542917 × 25067510989169360187582443013884314573<38>
1050-9 = 99999999999999999999999999999999999999999999999991<50> = 7 × 13 × 7668629 × 100308773475776339<18> × 1428571428571428571428571<25>
1051-9 = (9)501<51> = 481639 × 1001431 × 2204507 × 179488118809<12> × 5239744793907523162973<22>
1052-9 = (9)511<52> = 83 × 223 × 6947 × 161377320703<12> × 2778770221987<13> × 173430153607087049797<21>
1053-9 = (9)521<53> = 71 × 191 × 587 × 12562329568445036102250830275767002453548588013<47>
1054-9 = (9)531<54> = 17 × 29 × 1335869 × 813219713 × 1229679979486675331<19> × 1518410537203064741<19>
1055-9 = (9)541<55> = 2701593300560063647774277<25> × 3701519395212785560731843555083<31>
1056-9 = (9)551<56> = 7 × 132 × 109 × 199 × 571 × 89779 × 140035456540965619<18> × 542858693881982519950057<24>
1057-9 = (9)561<57> = 10037 × 8675911 × 2086949124287147<16> × 5502614973976617719498047337479<31>
1058-9 = (9)571<58> = 31 × 223283 × 228859 × 5834659 × 10928153 × 335398307039<12> × 295183134022089846821<21>
1059-9 = (9)581<59> = 43 × 313921897407961<15> × 7408152838496002619265064701228387953553517<43>
1060-9 = (9)591<60> = 24551 × 1514197 × 1859827 × 26899761675796814351<20> × 537684419034673655130289<24>
1061-9 = (9)601<61> = 174637 × 878473364729<12> × 31773852594137837<17> × 2051470437966151140949832791<28>
1062-9 = (9)611<62> = 7 × 13 × 23 × 1063 × 1453 × 2089 × 17021 × 95633 × 167826727 × 40083104483<11> × 1352315810743633261969<22>
1063-9 = (9)621<63> = 14499216344898896752959323769763<32> × 68969244696581083712684424134557<32>
1064-9 = (9)631<64> = 19 × 59 × 6271 × 4814471 × 36799991 × 9566469711577703<16> × 839285264668608213245600047<27>
1065-9 = (9)641<65> = 197 × 3319 × 12227 × 5653746453683<13> × 2212433780585198050210908345776014868486357<43>
1066-9 = (9)651<66> = 151 × 439 × 757 × 66883 × 4492009 × 5338459457<10> × 42250012204817<14> × 294078654564558761050369<24>
1067-9 = (9)661<67> = 1321 × 5437 × 19597 × 161831 × 20738805713683<14> × 21169119569691551954355564217157401643<38>
1068-9 = (9)671<68> = 72 × 13 × 210019 × 971729379975436624732980913<27> × 769230769230769230769230769230769<33>
1069-9 = (9)681<69> = 63397 × 381757 × 626947971773213<15> × 2170339093195963<16> × 30365832264283391654982456041<29>
1070-9 = (9)691<70> = 17 × 2111 × 3759289 × 26793961 × 1501972065791<13> × 8389656836773<13> × 219540251670011409967913819<27>
1071-9 = (9)701<71> = 78881595557<11> × 1267722835648523341138988112316740317428617451159045144870763<61>
1072-9 = (9)711<72> = 103 × 1811 × 922639 × 5963471 × 69425387 × 3480881723167<13> × 3023024732613877<16> × 1333718356890134051<19>
1073-9 = (9)721<73> = 31 × 4341008533<10> × 263305661205877<15> × 282219793586905741966296113640065805999889291921<48>
1074-9 = (9)731<74> = 7 × 13 × 5779 × 702780737 × 40483675109<11> × 8688593630053<13> × 769230769230769230769230769230769231<36>
1075-9 = (9)741<75> = 67 × 6666551 × 49052929 × 831859001 × 54866761472622933343355173670712591013912519245187<50>
1076-9 = (9)751<76> = 2399 × 34367 × 76417717 × 50954499311257<14> × 25681678366581487<17> × 1212908750097169152242159463709<31>
1077-9 = (9)761<77> = 1111680721<10> × 286073245559406853963<21> × 3819624664305357584639<22> × 82323152627172493323691403<26>
1078-9 = (9)771<78> = 107 × 827 × 1093 × 187423 × 55165513569618566444754607<26> × 1000000000000000000000000000000000000003<40>
1079-9 = (9)781<79> = 277 × 293 × 613 × 119591 × 1680713307247928623333378139199916888933751555253361302265955410357<67>
1080-9 = (9)791<80> = 7 × 13 × 43 × 661 × 4787 × 48239 × 5853526052603<13> × 569085301052150111<18> × 50261106447997346213579545740119923<35>
1081-9 = (9)801<81> = 518729 × 2567713237<10> × 750780443939323421019040060823110255867754708718152845260302358467<66>
1082-9 = (9)811<82> = 19 × 29 × 47 × 149 × 44909 × 1046191 × 6387259 × 18348412175865138486980597873<29> × 470659572629542911224468953859<30>
1083-9 = (9)821<83> = 227 × 5678824643<10> × 365174417962746309511512440803<30> × 212429750392986068412353843621587493937877<42>
1084-9 = (9)831<84> = 23 × 61 × 1597 × 9865301191<10> × 3369415196267<13> × 132459430228679414184601<24> × 101365379590466879644202035797733<33>
1085-9 = (9)841<85> = 3033644667696760540431621340129571927071<40> × 3296364965377543000577028480024125464906676521<46> (Makoto Kamada / SNFS / 0:28:18:37)
1086-9 = (9)851<86> = 7 × 13 × 17 × 63473 × 71861 × 1004537 × 6948583 × 2639420403553807201<19> × 769230769230769230769230769230769230769231<42>
1087-9 = (9)861<87> = 89 × 30724787 × 2408107211722250575505321<25> × 151860663916435588509393477939479396484360673953474797<54>
1088-9 = (9)871<88> = 31 × 71 × 467 × 2293 × 5113 × 13825941769007037889<20> × 218137357234515008089<21> × 275142993946312101483059532532768657<36>
1089-9 = (9)881<89> = 12919 × 16167474982347553799533<23> × 478772176962247587352907492838496717461481419429473558642556133<63>
1090-9 = (9)891<90> = 1511 × 2621 × 26190869 × 143091007 × 202758977 × 7084864849<10> × 7665370631<10> × 2039334898823<13> × 35230144787557<14> × 85164473749219<14>
1091-9 = (9)901<91> = 1877 × 3129911 × 306588651529<12> × 5551977068631901091589255759952253908919377717783066915271868552132757<70>
1092-9 = (9)911<92> = 7 × 13 × 44029 × 44436195239<11> × 74716684251563<14> × 774717324390885241<18> × 231687279868248212917<21> × 41881272672179231514961<23>
1093-9 = (9)921<93> = 83 × 757 × 1559760415307<13> × 2656685632389043<16> × 3840855484347303588648524752054204879903713883726897884305161<61>
1094-9 = (9)931<94> = 397 × 409 × 967 × 66977 × 230999 × 26846177 × 9450382559<10> × 198266889049<12> × 64414344031291<14> × 1270455041555076682580419086613351<34>
1095-9 = (9)941<95> = 28002119 × 183521111 × 80159620523<11> × 6812318414609<13> × 35634648700779351974316488534173284861604554506730720757<56>
1096-9 = (9)951<96> = 8737 × 106669 × 726599 × 4378837 × 69080527 × 1127952811<10> × 554508243299<12> × 2663156190955741239949<22> × 2930857126525877256434827<25>
1097-9 = (9)961<97> = 928307 × 90591614701069919<17> × 2477758575530044609237440495439<31> × 47991175334310938360645484759471530531608093<44>
1098-9 = (9)971<98> = 7 × 13 × 464459 × 551342479 × 5952808865209<13> × 168557936063381<15> × 10024665283411171<17> × 845440161194356421<18> × 504621641480758757819<21>
1099-9 = (9)981<99> = 60089 × 3663323155566124987<19> × 5639339932759193074579906236439<31> × 805566723873756259384442313420944670580411883<45>
10100-9 = (9)991<100> = 19 × 97 × 283 × 14627 × 3674333699<10> × 994327748569<12> × 61236769827829<14> × 44848033061277421<17> × 3148809563627188687<19> × 41488023184722935209<20>
10101-9 = (9)1001<101> = 43 × 1951013 × 1191986622000385035518638564374173230629064145436957800300259046108652989677074017088725488449<94>
10102-9 = (9)1011<102> = 17 × 3187 × 144203 × 1353383 × 1991177 × 273871783 × 1876732427<10> × 6775887552190427787707<22> × 13637925013200840085919638391816980569079<41>
10103-9 = (9)1021<103> = 31 × 1289 × 109811749013<12> × 2278959357036763169790259713957172311789365105706462004361509988932771734012673210727773<88>
10104-9 = (9)1031<104> = 7 × 13 × 179 × 5290477824748729<16> × 1947862590871197811021597<25> × 2206202131092079878657863<25> × 270026919286686265519817460570276301<36>
10105-9 = (9)1041<105> = definitely prime number 素数
10106-9 = (9)1051<106> = 23 × 103 × 28966193 × 4116417953254772568899<22> × 1056215898465504263474971028839<31> × 33517479718779992603489942082562596233732843<44>
10107-9 = (9)1061<107> = 5549373285559157092001363028537319<34> × 18020052869794279776876644915664872171366200606040049218496910334177029489<74> (Robert Backstrom / NFSX v1.8)
10108-9 = (9)1071<108> = 67 × 21518801375655714851137<23> × 46470989835488840363806434126781<32> × 14925373134328358208955223880597014925373134328358209<53>
10109-9 = (9)1081<109> = 2252231 × 5021879364791<13> × 420996486880249365031<21> × 2100111342215991523137439256807739714502295190739810518118318630550641<70>
10110-9 = (9)1091<110> = 72 × 13 × 29 × 3989 × 2290143001<10> × 3696549175591577<16> × 90865194024447148790098749503<29> × 1764175903156622301759112718314562795753064064813<49>
10111-9 = (9)1101<111> = 311 × 19843 × 339520660770777220429931419842789373<36> × 477272126034520940722669910353174573124220865322990922519656783471879<69> (Robert Backstrom / NFSX v1.8)
10112-9 = (9)1111<112> = 313 × 3941689 × 19336103 × 4191836705988181479348939975589788043307<40> × 100000000000000000000000000000000000000000000000000000003<57>
10113-9 = (9)1121<113> = 50894932942368973<17> × 1964832139836696397682583169637882971162304383697587052901592370317534325799462577219143296115667<97>
10114-9 = (9)1131<114> = 1439 × 2448952313317<13> × 113619994412549<15> × 3593891055967117960201170304091<31> × 694927032661570535093815149409312022237665045170257123<54>
10115-9 = (9)1141<115> = 431 × 761 × 47521 × 117144283957<12> × 33326319321401<14> × 331925529497713410796178426929591703479<39> × 495111931006187446021416144073444010100227<42>
10116-9 = (9)1151<116> = 7 × 13 × 1033 × 173219 × 171132083 × 3214902282801317877541<22> × 8071642288696029355717<22> × 1382934587194025722583321808878440049785645138984926013<55>
10117-9 = (9)1161<117> = 547 × 6987367889<10> × 109039799172580020244441<24> × 2399462798624315554649709206087096815106848663696985921484062707559204417437731797<82>
10118-9 = (9)1171<118> = 17 × 19 × 312 × 1249 × 4345511 × 57041926629930666036665011901733531105845315401<47> × 104058272632674297606659729448491155046826222684703433923<57>
10119-9 = (9)1181<119> = 340352021759490884489<21> × 113148498830123776919173<24> × 713773037869037412947173769<27> × 3638000295246258667246145912935370160176949991387<49>
10120-9 = (9)1191<120> = 1932 × 719 × 757 × 6755603 × 3171548632838023<16> × 33362320576752631<17> × 253721783490136061838019<24> × 271963805968702864258461551790513043662751795453<48>
10121-9 = (9)1201<121> = 245669593284788565157<21> × 40705078175497523585658176359797372933442555843803048351858849905659364452055101437395616728774464363<101>
10122-9 = (9)1211<122> = 7 × 13 × 432 × 59 × 131 × 157 × 167 × 1321 × 4656167 × 279376131961211<15> × 247777638479293206997639471109<30> × 6888100737095659876606563395668348970470023329997196543<55>
10123-9 = (9)1221<123> = 71 × 643 × 4523 × 1211599 × 198625207849<12> × 31841595447419671637<20> × 631998430051830557700888487084817052140637940611464801026449689276201645624747<78>
10124-9 = (9)1231<124> = 163 × 9661 × 3625031 × 603220214617<12> × 4092282467463097<16> × 120127553010300307<18> × 129176073645540570328399<24> × 45731177968650786903285932397336219226657811<44>
10125-9 = (9)1241<125> = 443 × 119003827 × 239025992477781293791695002659636001203014815071<48> × 7935790893211144760583231282378683537340883150482218186749879931561<67> (Robert Backstrom / NFSX v1.8)
10126-9 = (9)1251<126> = 1346919923<10> × 99582738067633474259<20> × 259449246196264501631<21> × 2279800480953691053649<22> × 4404728007638875844033<22> × 2861579460492886363697385972683569<34>
10127-9 = (9)1261<127> = 1279 × 4481 × 481067 × 975991 × 78121039 × 92152509519425281345483<23> × 516211832437885012830316711233981950839391966071710578960440252992807200434681<78>
10128-9 = (9)1271<128> = 7 × 13 × 23 × 47 × 5676423007<10> × 36627147032611375348033<23> × 6871065942231129106260647628859<31> × 711591830925780972034441044616807799046466946559453497473849<60>
10129-9 = (9)1281<129> = 1009 × 77477 × 13641424747<11> × 80755181161<11> × 362949074802653<15> × 376154756266432204449733<24> × 85053787774507451964167307670996633539178013275162506825756889<62>
10130-9 = (9)1291<130> = 613 × 34625917 × 640113583 × 168988305737<12> × 27879282336387712355695204432176867365129339<44> × 156222274695895650131829806836015851268070966711543754259<57>
10131-9 = (9)1301<131> = 89 × 107 × 929 × 161985391 × 625730947759680608316517<24> × 4173470555635270048745347<25> × 26720812783453188342897986088256735447149625712703020502970430010797<68>
10132-9 = (9)1311<132> = 3923 × 2546962972527613<16> × 52234229988717651520074139707847<32> × 19144534153485086423317835475736549<35> × 100082710942204725571854029984014199096850397403<48>
10133-9 = (9)1321<133> = 31 × 906121 × 4251769 × 305012901698475689<18> × 274513836604759106468014028146903884058523985192147532823372067829573046278727191808481524623176990401<102>
10134-9 = (9)1331<134> = 7 × 132 × 17 × 83 × 4462531 × 18699520487<11> × 1300152148179033332753<22> × 52308679461327694413683<23> × 143165945597753855112098594619101<33> × 73734181764135557483526518495064769<35>
10135-9 = (9)1341<135> = 306763 × 8464241 × 3421887940693<13> × 112549409303150618674183268133025591762701233598641472560443313845767714664563979024974638179818758103720133889<111>
10136-9 = (9)1351<136> = 19 × 181 × 8269 × 25867 × 10927079 × 1008934873<10> × 1407477156450817<16> × 16618414584512959499<20> × 2161655080961323535207341<25> × 24388450615853296712957638559087522557098904525303<50>
10137-9 = (9)1361<137> = 5165311746933052842465538744631<31> × 19359915702934259182946897176045257949017142531937648447023760144426052319383724069748135763227304525002561<107> (Robert Backstrom / GMP-ECM 5.0c)
10138-9 = (9)1371<138> = 29 × 347 × 911 × 240347 × 797489219 × 6719463889<10> × 9278852153<10> × 56916658697<11> × 724445935328640404936057<24> × 2703789257357684025009811<25> × 81873532684973362089980292505983625333<38>
10139-9 = (9)1381<139> = 2266591 × 2107924908563<13> × 12726436311211289<17> × 164461745696618591896009005886435914358832505722141167532684801621204516924694144596831699353270813308043<105>
10140-9 = (9)1391<140> = 7 × 13 × 103 × 2838853 × 609124139649827<15> × 12036938568862646965703<23> × 36956589665321881667605033<26> × 13869625520110957004160887656033287101248266296809986130374479889043<68>
10141-9 = (9)1401<141> = 67 × 151 × 7213 × 20641 × 663898341873149124755823694157220929460057755228744437893664294783209177859251794012695675122759673986348215698104475317933187831<129>
10142-9 = (9)1411<142> = 4957 × 390869 × 1398779 × 10900801759<11> × 911624502096187117724092068409<30> × 56615306657739612877438471735301<32> × 6558317755506364692997595133084191555668163745537318023<55>
10143-9 = (9)1421<143> = 43 × 4987 × 8103911869384742969083926875701596043<37> × 57543658086818917236653328425662353297036755376057033707756606095232065216600744427923471045358733757<101> (Tetsuya Kobayashi / NFSX / 62 hours)
10144-9 = (9)1431<144> = 61 × 4919 × 72103 × 349051 × 725437 × 14120947 × 928059349171<12> × 102778173667843<15> × 483601316311322078135288401<27> × 280235709382592215021783942116823254062739685689808590303568199<63>
10145-9 = (9)1441<145> = 5521133 × 30320243 × 306989367187882350122759<24> × 362929801125787433471130910799<30> × 162964976215164129227941885578492094157<39> × 3290022525160979923646398846777354649597<40> (Robert Backstrom / GMP-ECM 5.0c, PPSIQS Ver 1.1)
10146-9 = (9)1451<146> = 7 × 13 × 5527003 × 31820483 × 37830550701787<14> × 3678953376089882824379299271733196192314658634813671<52> × 44894712269811510134166455882251333879142294243975761506466492937<65>
10147-9 = (9)1461<147> = 757 × 83719 × 2529649 × 564188459973277<15> × 1989051072783415478046060199<28> × 5558398631776347251250612449996615477873378707620847736764219298064172335941129476440400951<91> (Robert Backstrom / GMP-ECM 5.0c)
10148-9 = (9)1471<148> = 31 × 191 × 277 × 9619 × 445792777 × 2600441047<10> × 20025961396631<14> × 227647200762466824679<21> × 566498878475024033576724763236475512079<39> × 211719305898683240805292394343293049479508278233<48>
10149-9 = (9)1481<149> = 5598934639<10> × 24622603363924497961<20> × 9406652544628197783013757175083<31> × 17015077596097981289004980562402392680515791<44> × 4532017689917763060723550614008624077237163293<46> (Robert Backstrom / GMP-ECM 5.0c, PPSIQS Ver 1.1)
10150-9 = (9)1491<150> = 17 × 23 × 593 × 3019 × 29593547 × 1228340719<10> × 203287386737<12> × 235122042143<12> × 231740870573890406759791<24> × 649616931789157865019702753163<30> × 5461674546661760187240499608772098204986115329557<49>
10151-9 = (9)1501<151> = 4065209 × 1054947908341869962347<22> × 2331772124791830137648157620024086292452822488119665231195374868127084505089199354203662189352272288259806743791305159760717<124>
10152-9 = (9)1511<152> = 72 × 13 × 47843 × 695017 × 657565957 × 18660707022367378937999<23> × 4583778702733702837221245869057<31> × 67708151357480212958271175141825303<35> × 1239694634341423432349916056158844097321901<43>
10153-9 = (9)1521<153> = 7351 × 12177173 × 4869339071<10> × 1717538402791591<16> × 212160165998317320103944607230187712351218102168603<51> × 6296029889857224726698251701700348692740511088455095303322626184799<67> (Makoto Kamada / GGNFS-0.77.1-20050930-pentium4 / 36.60 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / October 12, 2005 2005 年 10 月 12 日)
10154-9 = (9)1531<154> = 19 × 9770545391<10> × 50670908789<11> × 492691725102017033<18> × 21577127639648878849780469624000867189<38> × 185554311496620532371770351611143673123<39> × 538925768921415130739706333069119686561<39>
10155-9 = (9)1541<155> = 199 × 359 × 2820400404223072081249<22> × 77307199863851638605347<23> × 6419803921831371590190563637961411585509868203087940243856771169107672745149713980380003017961449703927917<106>
10156-9 = (9)1551<156> = 659 × 37657 × 82507 × 117361 × 7062049 × 1174699424012203549<19> × 273991272661126875657939650707603352993489342536453<51> × 1830880745642327756127708628460154103036454601740305990569843647<64>
10157-9 = (9)1561<157> = 1182138400863175552253848266595264231758705488091359346888751281045582124679<76> × 8459246390015065347380115262012913546306699962332583936149204215042988678809171729<82> (Makoto Kamada / GGNFS-0.54.4-k1 / 182.16596 hours / September 27, 2004 2004 年 9 月 27 日)
10158-9 = (9)1571<158> = 7 × 13 × 71 × 113 × 11273 × 66457829 × 227601541763<12> × 13755478715667106004852653<26> × 855791776632840528315673335967<30> × 68236562514926748050140226135968174467243038164709414598530184443428477847<74>
10159-9 = (9)1581<159> = 557 × 787 × 66522203560881529<17> × 463502940459739711<18> × 5179103681557614987753607571009<31> × 14285529639955355530391178145824057096420000669920946451104886135613114248058746965615319<89> (Makoto Kamada / GMP-ECM 5.0.3 B1=100550, sigma=3289701478)
10160-9 = (9)1591<160> = 2663 × 130960381 × 87144781633537<14> × 4110612782962333<16> × 3455312701687993075561<22> × 1634764941685338629653189<25> × 2535895350921026674019960278106110759<37> × 5588135774935638678380176533658718987<37>
10161-9 = (9)1601<161> = 37871278906453241<17> × 21025652136804630508221938561<29> × 125585804992968912808788945390634517801861766554822671111449018351172498773938268560062296220409535778931448185975791<117> (Wataru Sakai / GMP-ECM B1=10000000, sigma=696853086)
10162-9 = (9)1611<162> = 619 × 1759 × 28477 × 572435189 × 3777480038153<13> × 82711432890473<14> × 9232332226415328725291695187328474787743613722899413<52> × 19531869160556511907230090805735936797585412429882883916315932831<65>
10163-9 = (9)1621<163> = 31 × 197 × 12803410721<11> × 46745703973<11> × 836469155018551<15> × 17629888376681459284632404389201355683<38> × 185526180890784762356394559001150584399176683003863408727544883590129373766517842415517<87> (Patrick Keller / GMP-ECM B1=1000000, sigma=1966041121 for P38 / May 28, 2005 2005 年 5 月 28 日)
10164-9 = (9)1631<164> = 7 × 13 × 43 × 109 × 1151 × 12973 × 432661 × 6702143138293367<16> × 872912117122274214886393<24> × 26915104249006886077344416513524151206136145229903<50> × 230472904760975218695860182014530586110889780505824741637<57>
10165-9 = (9)1641<165> = 56290473873165148381086844809790940629420103915155210253<56> × 17764995232643102887053101422297754638281216307353274409711866004077365678936425580088372114246263483737897747<110> (Tetsuya Kobayashi / GGNFS 0.54.4 / 4PCs*2days/sieve+1PC*0.5days/linear)
10166-9 = (9)1651<166> = 17 × 29 × 6133 × 6286051 × 2384189546677451999<19> × 23823584851228754531<20> × 230082359474216559463433395796447020827820649934059530357<57> × 40259743299929784472838712049504899249693041902211136407533<59>
10167-9 = (9)1661<167> = 1693 × 251081 × 235249761719633225013599965162333286462954974186008359040388274273923782742394126426981239323174861244338605681202231109681148048384561882123999429538147810827<159>
10168-9 = (9)1671<168> = 29059 × 136039691 × 152199469 × 13631181661<11> × 21392516536095359<17> × 16775491065354149113<20> × 1502670426032911987830107685541<31> × 3464655614694615820134361459503031<34> × 65259858139040767607584620036276601603<38>
10169-9 = (9)1681<169> = 94211591202708488915524241578569786726705726654902440361<56> × 106144051621882701124925887117325659671531292461815961898361365027825862303359296356795774245471393139352946460831<114> (Makoto Kamada / GGNFS-0.77.1 / 168.51 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / September 30, 2005 2005 年 9 月 30 日)
10170-9 = (9)1691<170> = 7 × 13 × 4073 × 19471 × 29063 × 64849 × 1848031 × 33819758330585864983<20> × 159924045213327762917315647618256183211961766315464550981<57> × 735561004054368499805948808599092871902963794530535645906012138636137<69>
10171-9 = (9)1701<171> = 307 × 1341257227<10> × 119089804935077063337409<24> × 345902145520852319930047561079359<33> × 58955144714945402926154900462795557653240056734408286929929832931465190563110621663093933530297499871449<104> (Patrick Keller / GMP-ECM B1=1000000, sigma=3663717252 for P33 / May 29, 2005 2005 年 5 月 29 日)
10172-9 = (9)1711<172> = 19 × 23 × 997 × 967681309615663<15> × 5455303132259154458842540374893027723704662896639359296193937202067<67> × 4347826086956521739130434782608695652173913043478260869565217391304347826086956521739<85>
10173-9 = (9)1721<173> = 401 × 2528185841<10> × 938580727415304869460365420846237262713037883<45> × 105093292974603519781220816145515742537483095614362298755215504949519619870717052285912811121252640366779911913175797<117> (Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 / 255.28 hours on windows xp professional, 1 gig RAM, 3.2 ghz p4, cygwin / September 27, 2006 2006 年 9 月 27 日)
10174-9 = (9)1731<174> = 47 × 67 × 103 × 257 × 757 × 113123 × 824281 × 4632613 × 625148401 × 95226283921568354649911469910374171419599375062477580588497655609249<68> × 616267018056359185441747698615843643683296258084651274651119987076887<69>
10175-9 = (9)1741<175> = 83 × 89 × 277590538396397099817467<24> × 896295447371381022541530417241001<33> × 61949583081432845501932022855183580890650237564733399<53> × 87828944454424628608061572314719937855686216572417491650902721<62> (Patrick Keller / GMP-ECM B1=50000, sigma=3752722861 for P33 / May 29, 2005 2005 年 5 月 29 日) (Makoto Kamada / GGNFS-0.77.1-20050930-pentium4 gnfs / 54.99 hours on Pentium 4 3.06GHz, Windows XP and Cygwin for P53 x P62 / October 15, 2005 2005 年 10 月 15 日)
10176-9 = (9)1751<176> = 7 × 13 × 12097 × 302303497 × 15968813857743312100267<23> × 7395228897021612341523232889578455213960269146595764004311471<61> × 2544564574556572962069409237534454425346031538731320831426673073619023437129577<79>
10177-9 = (9)1761<177> = 1321 × 2376752857145462309881481<25> × 166539912927088863044604457888822597127041055210868917788027<60> × 1912470850607748174543437500075957519331332156283120157980757697449058309385972258440240133<91> (matsui / GGNFS-0.77.1-20060513-prescott snfs / May 6, 2008 2008 年 5 月 6 日)
10178-9 = (9)1771<178> = 31 × 269 × 1663 × 3253 × 8803 × 711780703 × 751414214574205487<18> × 50085008861179389314983865307479<32> × 6270490382978711525333242984143695967656023<43> × 149914670527656837997920618197642940784707574042657246252776461<63>
10179-9 = (9)1781<179> = 569 × 8951 × 944482695820147111<18> × 546906270091264303592773419636796433846880957980999<51> × 38010997664106318499368894010475771853596823493322466917536870017901952887416421331572081502939677862201<104> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 378.09 hours / May 18, 2008 2008 年 5 月 18 日)
10180-9 = (9)1791<180> = 59 × 166303 × 1981462151<10> × 403895669461<12> × 5427392805973<13> × 6775211799337<13> × 8974986752701<13> × 78160868906623597<17> × 2976176599680018387033042268965119689<37> × 1658810987591830795547164323164711490089752199766030492869341<61>
10181-9 = (9)1801<181> = 613 × 4721990197<10> × 118046288030005689138006772776064145473173086074955176614021148886231992477409<78> × 29265915150079883819125682044728327718073357005292178916251770323960139756081440411297901759<92> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / May 12, 2008 2008 年 5 月 12 日)
10182-9 = (9)1811<182> = 7 × 13 × 17 × 1223 × 611557 × 622802562607<12> × 541191531367411<15> × 53040230332956067<17> × 3920505864836767714747<22> × 4945904653788016124568903613721692237248629<43> × 249316864069717043485091626653147919697908905053883660187580519<63>
10183-9 = (9)1821<183> = 49314675241585004778040302476198275634070752715382741171333<59> × 27179661213248372553517898319953454110361829996769269348594493<62> × 746070354608195431221196594309881696831382401936346066887929639<63> (Wataru Sakai / GGNFS-0.77.1-20060513-pentium4 / 693.77 hours on Pentium 4 3GHz, Windows XP and Cygwin / October 9, 2006 2006 年 10 月 9 日)
10184-9 = (9)1831<184> = 107 × 841801 × 3557017 × 211480670972866622535223234753759<33> × 76772438105837719738754548269930764941<38> × 3422354146951056095066841448159662200272103243<46> × 561719994649737610867659787910638005737532777151667317<54>
10185-9 = (9)1841<185> = 43 × 68239 × 2538313576960440629507448895847540063266132079<46> × 29377049543046125556029128856057470051512089568061282636870001<62> × 457030771896922620319211488891391699946102749496004569879285614325665077<72> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / May 17, 2008 2008 年 5 月 17 日)
10186-9 = (9)1851<186> = 233 × 419 × 10744219 × 291653535584641<15> × 52792348845059647<17> × 5459780369426989258506416918868167807<37> × 25943645194741155506563259922410371213134407504184593<53> × 437130192678284489192380500009849205232710912361559391<54>
10187-9 = (9)1861<187> = 381467 × 252250919 × 573590921 × 2468421133<10> × 28220407597<11> × 7739992696481<13> × 623469605000773495978145688789573442397<39> × 538976246538898546343223750880120388579184821372415393352789944003119846089632154549645112111<93> (Patrick Keller / GMP-ECM B1=1000000, sigma=4006704447 for P39 / May 28, 2005 2005 年 5 月 28 日)
10188-9 = (9)1871<188> = 7 × 13 × 151548409 × 487606042003<12> × 1465865413328343894556166417276893<34> × 3462670511054145557735868404409558124203646135593037<52> × 2929765641752731346391547040207212875979805414190271980235225659141284583284855143<82>
10189-9 = (9)1881<189> = 680546965633716247679<21> × 210016417538123401200815971279<30> × 8147900155250040965434833800626154533552907527597<49> × 858702947397860145236409007951942850049599814990863975327405594646045661188912043740978083<90> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=72668037 for P30 / March 12, 2005 2005 年 3 月 12 日) (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 1147.35 hours / June 14, 2008 2008 年 6 月 14 日)
10190-9 = (9)1891<190> = 19 × 509 × 2591 × 11279 × 37728203 × 718809580057632062928074197<27> × 15232652842182146291582535453277<32> × 9132939882670122379669592086842575587<37> × 9378307897647822189773362682835304573974710330908432747151623394481317471521<76>
10191-9 = (9)1901<191> = 25890181282711<14> × 19215578593700683<17> × 1107810740439824418721011542356263180679141608975450841<55> × 181445361934394941929618652274442590996558678743985524419560737457231701804057845993063138605270872862639227<108> (Tyler Cadigan / GGNFS, Msieve / 363.74 hours on Q6660 2.4 Ghz C2Q, 4 GB ram, windows vista / August 16, 2008 2008 年 8 月 16 日)
10192-9 = (9)1911<192> = 1861 × 38604899 × 67135031 × 3339133451<10> × 75802272361<11> × 1274839317373<13> × 371370564511057<15> × 3210299262702817<16> × 1002960752029899359<19> × 537345513164965072541644277270284793121977431488447071466953250940354648038688876947877485223<93>
10193-9 = (9)1921<193> = 31 × 71 × 397 × 31039 × 7333825763352817867<19> × 114623516402068263048374107148074526153902078826891749923032115067<66> × 438608874285502256844751510885066987832289149361752461518587566928513572528389208388687896598390093<99> (Serge Batalov / Msieve-1.37; 64-bit sievers (Childers) snfs / 389.00 hours on Opteron-2.8GHz; Linux x86_64 / September 2, 2008 2008 年 9 月 2 日)
10194-9 = (9)1931<194> = 72 × 13 × 232 × 29 × 2281 × 56978387 × 24702593883547<14> × 572041744923931<15> × 441830682536309401<18> × 4594143404942642691414177378188955640856825123859977753777753<61> × 2744989966329896961448749127879070039002143600805487375898998297932229<70>
10195-9 = (9)1941<195> = 1289 × 283435121 × 190918276279<12> × 1608873192799<13> × 387312818354664563<18> × 1079504646683992390751<22> × 296827436308088224012637591<27> × 71801525491886233491994351008708055401003967702537009426787904436648333892829264331597536123173<95> (Wataru Sakai / GMP-ECM B1=2500000, sigma=1727198373)
10196-9 = (9)1951<196> = 97 × 227 × 105199 × 135288787 × 5127030864793921<16> × 378919599206831707<18> × 4907420475243384479<19> × 3616709145802705022310102159175743619073157102612973<52> × 925441856044986409718150197395729413167764668894414882028382058169268699297<75>
10197-9 = (9)1961<197> = definitely prime number 素数
10198-9 = (9)1971<198> = 172 × 367 × 1517627 × 2113775865581<13> × 10526423190323<14> × 48012016357931<14> × 3591932541314891<16> × 80691749292003731118629647616252267832462124947404914376760456191<65> × 20064301263767150482328850050963655988361397950026433927658752114587<68>
10199-9 = (9)1981<199> = definitely prime number 素数
10200-9 = (9)1991<200> = 7 × 13 × 157 × 769 × 2593 × 596275259857<12> × 4888946572366141<16> × 27089835581037121<17> × 220030935994058489226133<24> × 4242036622639156527888055237578804493024993216233097<52> × 47621545764299677617779790257997285086538394033923200643767527821353377<71>
10201-9 = (9)2001<201> = 757 × 853 × 6197 × 5261202985223735255465500871721497980723362277<46> × 47499445012330626928361523053193565699838419928021576640035083669627748973196174131631178336390098019060179902823907038409021606291865217815344759<146> (Robert Backstrom / Msieve 1.44 snfs / October 24, 2010 2010 年 10 月 24 日)
10202-9 = (9)2011<202> = 811 × 1660609 × 104506081 × 458290213 × 3490351201<10> × 70036821437399159898409<23> × 6342114199338576625556578199506049340359539<43> × 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<102>
10203-9 = (9)2021<203> = 3163 × 77192849 × 409565850497209526929202144213201576993545048475612351180461631963877751744367827859151870865509939833701984037970965464400867414916162670674414788860147464394087322574642695114389620636113093<192>
10204-9 = (9)2031<204> = 61 × 3607 × 167341 × 48523022783<11> × 47195391205577821<17> × 471886464223296562633<21> × 239334429244078719805120829701<30> × 17876284551980902328592233871781223<35> × 45302831818536160855154483046504027523<38> × 129666837065959683061728546755551575657543763<45>
10205-9 = (9)2041<205> = 163 × 2924864092045432721<19> × 20975228701525862425535472291072344362711515213362922746768134284514554516726189712322531545831813129439885126617441957274846020621653001166262173165071284981082700752728250496952368717<185>
10206-9 = (9)2051<206> = 7 × 13 × 43 × 692401 × 10239241 × 7613030996929<13> × 184181549987808479<18> × 262672352803304881<18> × 3901043612090232438007885999<28> × 223958556307693271700171647119569787<36> × 22726445496584026420510640998186677007<38> × 492908871046517977034206424358751376938907<42>
10207-9 = (9)2061<207> = 67 × 947 × 2027 × 2327680237<10> × 20375251305794849299477<23> × 163943867620141826091230023867229564925651296052804246141573875967454174324781673309552975541072702437827471952045422134007055607821929855776052305773848115539095966333<168> (Wojciech Florek)
10208-9 = (9)2071<208> = 19 × 31 × 103 × 547 × 15887 × 458401 × 44938046971<11> × 715368493807944331<18> × 93738101034940412233498319251111560705584994159001501753738976257147<68> × 13731328215929209456688791947124485531775729994561500117025176063615607948582945925408692322131<95>
10209-9 = (9)2081<209> = 6199 × 1098311 × 8749770522229013046664029725719<31> × 11779221979625493750760591465889<32> × 142508169351112330751625366154027236299106678544471738141095195169427914114649935286029433461028125436734063605464802185882769616072838209<138> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=3136596305 for P31 / October 22, 2008 2008 年 10 月 22 日) (Serge Batalov / GMP-ECM 6.2.1 B1=6000000, sigma=2769882817 for P32 / October 24, 2008 2008 年 10 月 24 日)
10210-9 = (9)2091<210> = 1564699 × 140589838991740832020941105146256038160377<42> × 4545851677658139202437532906827438688087706303142425442239<58> × 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<106>
10211-9 = (9)2101<211> = 6277 × 23515656707<11> × 68878159325299765945246977936034825607399<41> × 983578953425926847710613602049766331694128475926482108270643138075096243845666654271015003645058184620175168273341702523688682742773415924321517405178834431<156> (Beyond / GMP-ECM B1=110000000, sigma=1408185980 for P41 / December 23, 2010 2010 年 12 月 23 日)
10212-9 = (9)2111<212> = 7 × 132 × 487 × 18217 × 157752018614917<15> × 3004695654536743<16> × 369038951254272125569<21> × 56380971921971609399701<23> × 2575673952122780047666529547878651245753<40> × 4676160827424241349622633359482724543174987<43> × 80213770421949436989344479680642134972992714547<47>
10213-9 = (9)2121<213> = 2671 × 832477 × 3405841 × 5328359 × 5607750409<10> × 24831611120690827<17> × 489257181515888972676839<24> × 2732757469571315596232602778709665753077<40> × 582858443410441071978771347365210311353479<42> × 228371053847304148819820096048179809718818515793823952998837<60> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1234666248 for P40 / January 9, 2009 2009 年 1 月 9 日) (Sinkiti Sibata / Msieve 1.39 for P42 x P60 / 16.6 hours / January 10, 2009 2009 年 1 月 10 日)
10214-9 = (9)2131<214> = 17 × 7968678694697845825873096579<28> × 105268359025757399432466604657457309<36> × 7012403690728403318908561793540433456872731<43> × 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<108>
10215-9 = (9)2141<215> = 1879 × 13997 × 6212923 × 21037729 × 3278149841<10> × 470412938212506827<18> × 2770137190923325144409<22> × 2031018113505496462220321903754922682889648655476894486580067<61> × 3352897647662440631906154229484831315859319119234485730141072200179474981221188148551<85> (Lionel Debroux / ggnfs-lasieve4I14e on the RSALS grid + msieve for P61 x P85 / January 18, 2010 2010 年 1 月 18 日)
10216-9 = (9)2151<216> = 23 × 83 × 151 × 137401213 × 1025890507<10> × 3207480541<10> × 15552298759<11> × 92762470571<11> × 12813482135218256325700577527597759817402594010431832837282926939321359468931<77> × 415075835864390811706575139824651136151900801150981162208964016615508906209576156217481<87>
10217-9 = (9)2161<217> = 277 × 1597 × 209837 × 26201554231<11> × 28091934741523<14> × 6880830160720697642858093533<28> × 63325093119323060926195351466951<32> × 335898346710792594131217225602531441026219994792367522422800950405251569979293410168943832776047737138867077267300064073493<123> (Dmitry Domanov / ECMNET / June 24, 2009 2009 年 6 月 24 日)
10218-9 = (9)2171<218> = 7 × 13 × 636095471381<12> × 2307896264990110210061<22> × 45166631624534007464908544083639<32> × 67083924033653745174874728162417169991<38> × 11601131675497996544648457184208378700687769<44> × 21295287196598135831894469055861840064477475149485170209040812034482381<71>
10219-9 = (9)2181<219> = 89 × 172027 × 466290889 × 168664820083<12> × 830485282648983792403171451838983520539730321241583428290887940491689756536419557446889162299575422018051080061665651474429942668263724269345073729025589308872735886582951892230252636083419031<192>
10220-9 = (9)2191<220> = 47 × 229 × 263 × 1871 × 4443097 × 839917615309<12> × 6714107380277349896183<22> × 144943428069060593210324709644363984350751705174143343752073126619771304837<75> × 519909589640850094073814039254973724161101539472144569857404667889667108322520021230643073367523<96>
10221-9 = (9)2201<221> = 2244243292414987<16> × 36850738153946037699833073888315762312074676627959784020460159975565412938001265323416774184197<95> × 1209160280188412847019449790563121287386700505551536085402478325764605328502237530282311862222195075490478082369<112> (NFS@Home + Rich Dickerson / ggnfs-lasieve4I14e on the NFS@Home grid + msieve for P95 x P112 / March 10, 2013 2013 年 3 月 10 日)
10222-9 = (9)2211<222> = 29 × 22483 × 602657779 × 28696630206070791791<20> × 3811103616383696520035255018963138889550371472027<49> × 11670648336895389594887395705639732998619139278066767263683<59> × 1993886046252076663845187938068087319893076521678350863668723255877085366512385237<82>
10223-9 = (9)2221<223> = 31 × 17053 × 590027 × 2761831 × 77429204016449<14> × 2545729004258801<16> × 3265703061602243<16> × 18289955184503630002559<23> × 985966656924107728080769413681833286430842191990540078718690029876670763594626381037161101860259104582075413156420630749338157475895612277<138>
10224-9 = (9)2231<224> = 7 × 13 × 647 × 7759985029<10> × 605811026672353<15> × 5310320545785083<16> × 772109420162542201<18> × 369568082011564246318490814674287271310659910824755808150690685151322618547973<78> × 238430728361600896205676276007090671265907651946134091671888880076349641192040039401<84>
10225-9 = (9)2241<225> = 293 × 876607399 × 11832253617719<14> × 10292669498837631231566729<26> × 31969198635632808973170397736416392401304318424374034125277901682126490850491223618006814822205508423960199101378815162796713417370724734035311510268842133646517081155844442163<176> (Wojciech Florek)
10226-9 = (9)2251<226> = 19 × 373 × 3347 × 96377 × 299261 × 1539149 × 3429445432781<13> × 884609083918355948907037<24> × 3775584003451138071930047<25> × 310664096228408853908793998882075472743889042019497036205801<60> × 2668868467392422552005114420965245432852788746018460429855287102487871476139285197<82>
10227-9 = (9)2261<227> = 43 × 925733 × 1415114047290409<16> × 17786640496933624840678534245662351596213<41> × 99806868526225823221956954125006142277499588289181858360905874746351256925536418640176658497489042909882373987832308907586475427226873597370517730462039750438400917<164> (Serge Batalov / GMP-ECM 6.2.1 B1=6000000, sigma=1970878906 for P41 / October 24, 2008 2008 年 10 月 24 日)
10228-9 = (9)2271<228> = 71 × 757 × 336529 × 859221566249037791<18> × 180738878352484081081720836613058416283<39> × 356013547665340428768575295631333591720156299923<48> × 3134188330252503582947429542915803128154373300081462177<55> × 319061873323813867242565512269308619907572321217170192386339<60>
10229-9 = (9)2281<229> = 179793157332153468293<21> × 63932480430633876497881<23> × 4392102515268294714566780119<28> × 5610711517790672169749230760590233614520263016485069957<55> × 35303265491584220462484917502666866946881288911252887130288994412439136526096241686336731698847863432369<104> (Wojciech Florek) (Markus Tervooren / Msieve 1.52 for P55 x P104 / January 31, 2016 2016 年 1 月 31 日)
10230-9 = (9)2291<230> = 7 × 13 × 17 × 149 × 643 × 16427 × 13188252227537<14> × 2086902480830030036633784894772704335879<40> × 279676051195225896934948823207443193519179150078386523465480944649163<69> × 5335922447296667088377467035279126307518701118577120313195503748865958864729990739390888237574373<97>
10231-9 = (9)2301<231> = 919 × 227947037 × 237397921 × 18693648129792673797202114164543384825945078679<47> × [1075671252628151721536189684155708564759253143949988399552998906512779142075938929710990797304007549635908376485379724926741783265290587104234929834605726411369028883<166>] ([XTBA>TSA] IvanleFou / GMP-ECM B1=110000000, sigma=3535950693 for P47 / December 25, 2010 2010 年 12 月 25 日) Free to factor
10232-9 = (9)2311<232> = 563 × 613 × 1321 × 5581 × 8774317 × 31409912863227233240324396659219<32> × 285562837995982349446361585842661944753<39> × 3258810312307206854209463561699139379393<40> × 1088633633614509477084403918558191926908607051<46> × 14076468703627736973261941485232894367607527799709257855417<59>
10233-9 = (9)2321<233> = 103319 × 947719 × 457300801340671<15> × 2233254696604262943829677849962210300232112254616557878266228978724103628169450994114477700636473130142890428587112611459892103223946927241932242143146839307787064222117699572245321291368507189184069078217961<208>
10234-9 = (9)2331<234> = 136817541953<12> × 12510399765769<14> × 298112920074737523999596067065580070878142999<45> × 1959775076019992331799342558898554074566826611021<49> × 9127148480682127666098069205437229076855970260488284811<55> × 109563244436806168818039119184210587861133156574721974138239127<63>
10235-9 = (9)2341<235> = 1115363 × 5476400107084512893933<22> × [1637150466542620463521641864646810936730159962508376375974999081043970766985055221845360455776234416343940654734610211656283611664347262318575325514391313947370826427676824204286688910344967227394380562903729<208>] Free to factor
10236-9 = (9)2351<236> = 73 × 13 × 8461 × 89293 × 64141747 × 8460920724818143<16> × 37627526900440243622059<23> × 6147335446609049443147009<25> × 232249550665794760809639124801272942935386171<45> × 10073705259065735294499942560980394788643671299013<50> × 101071403953684443983895115462630189568665615571767163352181<60>
10237-9 = (9)2361<237> = 107 × 7561 × 57235347277<11> × 672331504409<12> × 4675438610011439<16> × 124195659693998352897446580594911<33> × 55317229683125179811055047825566314237250570327459404598417890762364651604901335574716743377299431025304065892097911840931358872788401832572008373559390024256489<161> (Serge Batalov / GMP-ECM 6.2.1 B1=2000000, sigma=1344070187 for P33 / October 24, 2008 2008 年 10 月 24 日)
10238-9 = (9)2371<238> = 23 × 31 × 59 × 7043 × 15599333329<11> × 248188250596361555852063<24> × 300887275512254328094763<24> × 3025049262693665664747541346878285724445834135320710094168083527978858463925645677<82> × 9578053105495890596842936195802739350968036547539923449027221708789738588593789339062558543<91>
10239-9 = (9)2381<239> = 180069959 × 2481625391801<13> × 1651544456350112110279<22> × 46895372182244200870111<23> × 210157492598681488168780037<27> × 305661456410850615841673329<27> × 44979714896150706074345874783931808634107426732167806836547470840633411076926691669415949510832232314574628364864793784477<122>
10240-9 = (9)2391<240> = 67 × 1314371 × 256328913578799661<18> × 39680844683922630781<20> × 2968140363021126452220649514855793697359082715974543882369932510137667044124281356330082986856987<97> × 376135469222398560079179371798099236539177092583429173601100734182099447630758605255815436349312789<99>
10241-9 = (9)2401<241> = 283 × 9479 × 804191 × [4635449272261294629377779703213468681518891331407530241149702094172616188345007537004333603269446014961055482551795100190895076971961332333666078422686195261794517524762612532237148044926410799595122348018765894789486716644728093<229>] Free to factor
10242-9 = (9)2411<242> = 7 × 13 × 103 × 198529 × 11787899 × 328697413420232835842838763773057913404777878180108321518328556605098171968410977813814875910384258521686461<108> × 13869625520110957004160887656033287101248266296809986130374479889042995839112343966712898751733703190013869625520110957<119>
10243-9 = (9)2421<243> = 191 × 2090131151<10> × [2504915584716261518622320429705615928866391516777126140829517966298849095597766181911340323777630907153032718173656534716342455075023976067357210592911756418684539249136127860441745194251162339410637980622953565801313394779101714151<232>] Free to factor
10244-9 = (9)2431<244> = 19 × 749013296450169739<18> × 71866339938008210623739<23> × 397118863301683969907658455831<30> × 3503918176246150929723840345375125855783997495258623504869751070595633<70> × 7026788335642034629781710534573805278538763744803035551030475665043109854334080750234026493336617617683<103>
10245-9 = (9)2441<245> = 40974399286914864833693<23> × 5715411392874728022457273897097329<34> × 29115151105315566725219378106426072481470252799<47> × 6858031324105906934531379371908179531888297486893109903873924200917601<70> × 2138559784846297975822122362999433744698609346939040015198735671284328397<73> (Dmitry Domanov / GMP-ECM 6.2.3 B1=11000000, sigma=1951669128 for P34 / May 11, 2009 2009 年 5 月 11 日) (mia7077 / GMP-ECM B1=110000000, sigma=2057033392 for P47 / January 11, 2011 2011 年 1 月 11 日) (Andreas Tete / factmsieve.py via Msieve1.48 (Polysearch) & GGNFS, Msieve 1.48 gnfs for P70 x P73 / March 1, 2011 2011 年 3 月 1 日)
10246-9 = (9)2451<246> = 17 × 15739 × 89069 × 376667884978938293477936774780616434222279<42> × 111400918951427393267751760550029690509932963494486357752363513131610869<72> × 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<124>
10247-9 = (9)2461<247> = 44451761 × 1374902019013<13> × 19945229229203232397679<23> × [8203520121102992924527655815864204700509131223975388014600092794790532104667823841760331340262472670579150360549037086554402448433462480941173142178521283053388972682872569934752050230712834059531200108853<205>] Free to factor
10248-9 = (9)2471<248> = 7 × 13 × 43 × 8179 × 2569393 × 520650671 × 8152274412311<13> × 901399309795043<15> × 23257479000261691<17> × 30441559635772969237<20> × 278215836815846300810499872638251601851541<42> × 627753020605636868785440299879864836902467148030812554348147<60> × 2570495028748214654581797079357671705550480475040454114008023<61>
10249-9 = (9)2481<249> = 121935824955601357<18> × 8201035260671872575340203837666414392454236363272545489650445706963071219917001531557025514282235019531859106003449269923308436252722353254860723173705916722269242722881173416701360325804282168261444180657372768351173241005630948563<232>
10250-9 = (9)2491<250> = 29 × 134227 × 224027 × 23220877 × 40227639590406309217166835252731879997433918357<47> × 11096220704771508418838283142629113970847065959139563096883643429606751723<74> × 1106326971538334438867518468448025343661281698202433005785938239861995100495925767257721870777151883601441849433<112>
10251-9 = (9)2501<251> = 1401009277<10> × 147168866940671<15> × 99643778248525445438201163373808995374199<41> × [4867353134370095606923890685838077704666538118399532376570871303012630933617399831305017793072806391226054449539773375496380403865759122299841802095857937973349203109866533594795925069227<187>] (Wojciech Florek) (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=3936022373 for P41 / February 27, 2014 2014 年 2 月 27 日) Free to factor
10252-9 = (9)2511<252> = 131 × 523 × 4967 × 166429 × 543769 × 1800047 × 11106023867<11> × 219931704421459<15> × 68240418225121295929<20> × 225003335227519500209690385071854069954197019410358111<54> × 38638611863595333536671213995256267949387191415100091789<56> × 12448211784421770185094071021831790872657994261310382419295508082318163641<74>
10253-9 = (9)2521<253> = 31 × 594863089 × 13896422434750587178277<23> × [39022786381779592067122033546478424701214535014291015413700730057667901802297526747853745843156327104125727499566835178665362208987935600119838458248362469163543660992493390073490536815704021977541722800359728024036364037<221>] (Wojciech Florek) Free to factor
10254-9 = (9)2531<254> = 7 × 13 × 199 × 638775037 × 25596248216009142869<20> × 4477018734318629180293<22> × 7609989926532955216740365501<28> × 1280396167057838504245589115975841<34> × 63794643459287914893525823561863799<35> × 32747986372581105183234224891710798334981867<44> × 3705912046848417713402452698842458642593478627187305412395727<61>
10255-9 = (9)2541<255> = 757 × 1187 × 4951 × 638522478824545119654788017828403984837<39> × 352033735668334509984394000469434921834551920783994534064253639097098779730471401313289081972426827517582738445211333422021523489123047548447461031338967443258017486098938926688272321083982301999885723409427<207> (Serge Batalov / GMP-ECM B1=3000000, sigma=1513717194 for P39 / February 28, 2014 2014 年 2 月 28 日)
10256-9 = (9)2551<256> = 186343 × 3116303 × 3447709 × 4114753 × 8960737 × 10781786123<11> × 37317079753<11> × 11821817016493727965504014725693386869935295703801<50> × 73022176650061765449324304407021730245121580937594754357<56> × 390024388698374486765920482240083068007743207676668137869753828120978424340683726317512954051205437<99>
10257-9 = (9)2561<257> = 83 × 1095488436227<13> × 1071779078480650997<19> × 226942097863900616234024969<27> × [4521616965133334504602532634573684651776557781935222015069181376695713100466353337615448940552338051417913431584242573039318916355416670199255633847691841746625974781842318903033153228652753901424507<199>] (Wojciech Florek) Free to factor
10258-9 = (9)2571<258> = 461 × 40619265259<11> × 1145215219399<13> × 17539599447243911<17> × 4145408950427364383<19> × 456924644778583027708225854452808686591429254518198104098687511713953580652663014164092355599719<96> × 1403615855538288055865290988653397945429469842242039799304685291117752873519330257322000400837536246353<103>
10259-9 = (9)2581<259> = 883 × 114031 × 26841209 × 10664207144197<14> × 99469878320084592119<20> × 9194342177276929109261913431533<31> × 379379158016121637899212829739213496538541695795601326052616695721051472581046303972139049162560621227920959703449226400092927191441136557785441740512787068715624032647037050662077<180> (Wojciech Florek) (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=2655984952 for P31 / February 27, 2014 2014 年 2 月 27 日)
10260-9 = (9)2591<260> = 7 × 13 × 23 × 691573 × 85078832171<11> × 568419884796013649225640400511660780275935536920717606117971907828538350105829659595877633791349852502897560241<111> × 1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429<130>
10261-9 = (9)2601<261> = 197 × 1361 × 33479 × 110311 × [1009913899963561151466239007999651650271252576079015462072648024972443823341159580651928597542985766173886571186033081659996925486818122539349875824841825500638779164461207697334282553213192122030326441373477695377957920457337283198708399948537067<247>] Free to factor
10262-9 = (9)2611<262> = 17 × 19 × 389 × 479 × 1217 × 10185123149<11> × 324532173076818744317976869<27> × 8545495346710077139785136036953045644689885975695644116598380872477353722383518717890333<88> × 4833486393735801633718401082700952196819565952921842525013292087582773454492725602977427618541253806370535066943786553240852627<127>
10263-9 = (9)2621<263> = 71 × 89 × 2609 × 943828409 × 317103778182248336740403<24> × [20266703023793205979230622001938364694074943540390719075218948604956863713443920677258723235665415241417169465680193206339846541648027891854208786111319102108472664716289367650481378455227349534214294360111394187102790210923<224>] (Wojciech Florek) Free to factor
10264-9 = (9)2631<264> = 61 × 19919 × 975064193101<12> × 51487198294454081995358167267058581242465394181123605884321434040119645137816603670221076374305249088065774874697663<116> × 16393442622950819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442623<131>
10265-9 = (9)2641<265> = 9547 × 328845631 × 2572360564167125859783380306211041<34> × [1238252342414890196050751542512061364849723700241685004038086444990328247628801862992282622069130733867499236530106967094527049088588108410598399431763430185029568135386407491626325896637317425393837072387174524886239643<220>] (Wojciech Florek) (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2727704611 for P34 / December 1, 2013 2013 年 12 月 1 日) Free to factor
10266-9 = (9)2651<266> = 7 × 13 × 47 × 311 × 27107 × 61703 × 2253341 × 72889247 × 4594450834406689<16> × 1010842705641010535483<22> × 1796829324576277978498688716576986881951<40> × 9011750921273770846529134556364445817479919<43> × 3639058575109244558355057256396438365587852122206128077113294862579491665346223461086019747590875212236105731835236553<118>
10267-9 = (9)2661<267> = 7549271 × 21475787 × 2216805012481<13> × 8055372313793801<16> × [345408311381007804889562960158375377295267205406077495657453733847890668313439641192550504533958923227515587176482061889166193214151706276366964906247074848141629064119487809032906970577549532289522072216673154479093666320043<225>] (Wojciech Florek) Free to factor
10268-9 = (9)2671<268> = 31 × 4969 × 455811127 × 498011242961708985877<21> × 2845259519627857412680439112018370619<37> × 124029943290906783114900331460245831990228837<45> × 283368499045509140564835336179818819934025259684556699<54> × 2859863067852942661391401933101049364560407006220687090992890725892249273035398773184745005105065863<100>
10269-9 = (9)2681<269> = 43 × 444981482288257094058550900250349450053159<42> × [5226243086318669693307627259926061541990064833781393443889085264517673765073178236926769931438556960875451985355175823547422706429003753820929122621487168229947707584122855018674343173442851403311533208277690356275146107057043<226>] (Serge Batalov / GMP-ECM B1=11000000, sigma=57492616 for P42 / March 2, 2014 2014 年 3 月 2 日) Free to factor
10270-9 = (9)2691<270> = 113 × 209694391 × 3187745395872205735627<22> × 4126491370074199286802782631529<31> × 8891594935054218128128581330211366119702257623025863<52> × 3208264562687349553112271518304371303840051419576548379085824235751916727<73> × 112465762026293015888985715318626268035804442001514204439778594639800875198450472219<84>
10271-9 = (9)2701<271> = 103613 × 7618034081651913841763<22> × 29315219464656653795470640227541237<35> × [432165098498278154124748067178179445198532548204461485900629017009125580868413908312316066539914831040562683007193596570378717079740578463748785355767189999293918024099652669462333758701342363070292025322822397<210>] (Wojciech Florek) (Serge Batalov / GMP-ECM B1=11000000, sigma=1631110243 for P35 / May 18, 2014 2014 年 5 月 18 日) Free to factor
10272-9 = (9)2711<272> = 7 × 13 × 109 × 937 × 13513 × 5194417 × 13696021 × 106197961 × 12793140224464242205884955416150288157100396559521578805992926399760242313447934267623249662207687031233567410146933693<119> × 8237893614348792654198704368822657104312327012462025313705888966854598169349530317756164727430103513498190475893850493729<121>
10273-9 = (9)2721<273> = 67 × 300248669686738042372961<24> × 23850283388718427130728813<26> × [2084253607025825443054873319495228534048544747254936513588675289891938606870817916487493828943783018149356842461620946115701142354897040224996845919309049580249437480003583823880604326868529979946884606302342224978223952561<223>] Free to factor
10274-9 = (9)2731<274> = 223 × 87880708839876574310987<23> × 485528403184829992818506125204327553<36> × 1317974776987854639539412965694345386873<40> × 148422974169957271956708475508014083532747879<45> × 1387663704324682066869289940523411644503592736304905992069<58> × 3871635708616963361655567348402090715393583483956963602661082587930518289<73>
10275-9 = (9)2741<275> = 197831 × 292067625089757896352950706762202747<36> × [1730701756524941829897120590957385766519275870659496078970766969082715048337747583827516710642955449130480358389470300127271310224274014600726921292378529568285299085865299319312343598518833169396293442655701642386793974027375410284963<235>] (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=2290442564 for P36 / February 27, 2014 2014 年 2 月 27 日) Free to factor
10276-9 = (9)2751<276> = 103 × 30047 × 20730732812459<14> × 990513749998083607<18> × 34585142462197870945875655226509<32> × 515100320152004920978466573096213025512461<42> × 550200369707475541148787748643398354924032907<45> × 19620811251546579405222533234378138253672631574917<50> × 81821468309254160472196820095045483222349432219761130729098894643898517<71>
10277-9 = (9)2761<277> = 2239 × 297049 × 1743317 × 894423399269748211221191<24> × [9642691979353375254362327805611715232053580442933619525193219196022945001907427446813154189946837624488457695229072279523365896237869423628822064126588473384134672849562522543268282241310351607969548643654082692190329437435914886205663723<238>] (Wojciech Florek) Free to factor
10278-9 = (9)2771<278> = 72 × 13 × 17 × 29 × 157 × 2788661 × 15523411 × 44398433 × 327203583643<12> × 21557806404758500426320572531<29> × 24958916987067161555053422268090297995769<41> × 1048720107311272779271661501804277089838257303<46> × 103985894904565220127485054041767990985479311662142569<54> × 54964349212695694748863076665601324197711084936921370461642002386315059<71>
10279-9 = (9)2781<279> = 3187 × 761603481981413506984919<24> × 411992220600234813548936742197046900540944591185113155562461934187049637452281632231512009237190337107217136566928852740683165650587658310671395997602844113671929253751650897060828331299897926419889481019819317236940795941263926137227016042859777504347<252>
10280-9 = (9)2791<280> = 19 × 35053 × 12125477491<11> × 79437562891<11> × 95807951003203<14> × 3561333108430689643<19> × 456859116200220409626925655159773597547335323554537464425519463600293608389774021<81> × 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<140>
10281-9 = (9)2801<281> = definitely prime number 素数
10282-9 = (9)2811<282> = 23 × 179 × 757 × 644783 × 21395260840097<14> × 1095239290136891<16> × 1998567824579494876129<22> × 12839483153589083628646788780690801027737944337<47> × 803739638634605270206280169488592754569025676064749<51> × 2406135617024184285708011017528134490384412631178837377241<58> × 427938295026116307934098302562270778494869844206815199155275017447<66>
10283-9 = (9)2821<283> = 31 × 613 × 168907687060027<15> × 11745434629167134613003981169<29> × [265252401548458616856894376978459429394927571287771610408012014891721358612900189235282977156267474812461485618331833415613575896183147927873355996676902177965363515204231081900761247184351403287651971768536065486152588426416662410101119<237>] (Wojciech Florek) (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=259972751 for P29 / February 27, 2014 2014 年 2 月 27 日) Free to factor
10284-9 = (9)2831<284> = 7 × 13 × 541 × 3947 × 55620027781<11> × 1448567705614466629<19> × 1745464342922221643<19> × 43327067821748272353553<23> × 1385825472583120653686423290102430449498514937649419936194871100461577404398746984922103361<91> × 60946026465304974803790792681220945491909217668039734426659739308109065885791246440633099629575113608999707001563673<116>
10285-9 = (9)2841<285> = 439 × 3067 × 2417801 × 567539418637<12> × 572648667889<12> × 157799676210785435597<21> × [5989778427887741306435109247442544276553085823183331248572748768806109290257123945620914979601253860099858134872283306758302857101080118531118314113184295529827665014909562356163442761063850365958036026913232813371124620913352467<229>] (Wojciech Florek) Free to factor
10286-9 = (9)2851<286> = 163 × 277 × 27031 × 1216793 × 5840089 × 8349701 × 90145919 × 4715647356151<13> × 168558533183087<15> × 4147101487903858399083877<25> × 7345539743327053679573405567<28> × 20175914330451670548424029176641<32> × 214227176339184428053640364764759<33> × 15615621711258130384380831959853307643186586759613<50> × 937324228248119193845135214526987488784377088869505157197<57>
10287-9 = (9)2861<287> = 1289 × 1321 × 2357 × 85571923 × 4625349084627158197<19> × 6851943777662066396286315631<28> × [9187452031422291615802634808210620619500418022863745675962658811117922899353093460420526304741318856705814949055654137003389738722778020715698884482208100442196536442265255958100195596428600004325189599947451518387888237707<223>] (Wojciech Florek) Free to factor
10288-9 = (9)2871<288> = 167 × 134060221 × 337349307593677<15> × 24897458326243224332747<23> × 895346379774329815520794224163<30> × 3312794646750731247992525345573307418477327<43> × 2514863810750094284798767186768560521807692068531696374269371643<64> × 712932957281784950984395092073743731497066022895505935641190031194208447263463722058545529531369594509589<105>
10289-9 = (9)2881<289> = 1307 × 21871 × 17469987574679351<17> × [20024568928289807365618546493097810703562486808134616838062175158248097205539118647503898100521350709119227704795533273903177753343956094471019540529999691475772542352036485961204319223417184291815064909990236387046112156654271385091323511588329296569603808185669853<266>] (Wojciech Florek) Free to factor
10290-9 = (9)2891<290> = 7 × 133 × 43 × 107 × 12075143 × 676445318963<12> × 4763952371867371418729757278628913647895634646669909353<55> × 4143029976332174725198527972504156008079260574971910161750602000454997704627<76> × 8766156200684878799008827009062597858947436856129052621658170468236243976055340649834199245133777974926097117235232911182743682616051<133>
10291-9 = (9)2901<291> = 151 × [6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841<289>] Free to factor
10292-9 = (9)2911<292> = 97 × 337 × 397 × 1417693 × 620541979 × 786435493 × 33687902299127<14> × 21664970297659279<17> × 739507611188227323791<21> × 9150569570314205775583<22> × 147774458556369431910404840981974982225732968722011<51> × 34539886053501171347512504592110662553160109081260627<53> × 44182295046517451060199140411491994133365784148518994793958755571258224952845933272129<86>
10293-9 = (9)2921<293> = 37648704198001622956897620521209<32> × 474745370112282148391881863808314157<36> × [5594860066460640020187735301826154248913310097864189552495212038221852119845985576850168748124250916796212318073371440166536951869830127923128674286548848599084361180982196769098680960975285064241309902092208837115578571956107<226>] (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=1186706299 for P32 / February 27, 2014 2014 年 2 月 27 日) (KTakahashi / GMP-ECM 6.4.4 B1=11000000, sigma=88808135 for P36 / September 8, 2014 2014 年 9 月 8 日) Free to factor
10294-9 = (9)2931<294> = 17 × 87257 × 2797246489<10> × 2581475893243546379399562049<28> × 2978486598601309977385667600190257<34> × 76939696440259536071166115723477303<35> × 19372493773537840831076728862163526175658084499<47> × 33108811339229359436324412647303299386888839796775859569<56> × 635150657593861735194302722673849771111790656208078860699275923576820452341058299<81>
10295-9 = (9)2941<295> = 1277 × 3877 × 865769 × [2332981368425258885911747274535025817400903254475913069575341966058604197467206689862067214249443851964870588841571162333684791432778504886781598060551102980111931240013786243117692239939970908357853859668943752587161976295045253551327137302787971116423852811817718947829325580404591<283>] Free to factor
10296-9 = (9)2951<296> = 7 × 13 × 59 × 5107 × 2157481 × 8902981 × 330473699221<12> × 2092098327453367265488153<25> × 10179078449976201273125762528418361136218099<44> × 1313437274082906131865018524905745892254428247173<49> × 532939316067522452437009431855311310168767228534802154162283932019<66> × 38542844162420837355114416087578812267010926136810640691082927212474664077128617153<83>
10297-9 = (9)2961<297> = 2964667 × [337306011096693153059011349335355370434520976554871086702149010327298141747454267207750482600575376593728739180488061559696249190887205881807299099696525781816305170192807489002980773220061477393582483294076535408529861869815395793186890804262333678622253359314891014741284602958780868137973<291>] (Wojciech Florek) Free to factor
10298-9 = (9)2971<298> = 19 × 31 × 71 × 83 × 409 × 36299 × 37573 × 68161 × 15786109931<11> × 721606590563161<15> × 420200185405225537573496373857<30> × 1609561207914191556407872402061<31> × 384564861922004165543203544546821681061<39> × 48704586230979775559414535682143440300694313427376479940972273211<65> × 525097150223725778038006971456374587050144448028021793732567240767742167666853365031593<87>
10299-9 = (9)2981<299> = 547 × 1049 × 527671 × 284479031 × 1226188907<10> × 39913896773393233384613<23> × [23721502103639380152181252765409693188846298907251183982065453797302744565385293635865600559672378827915566090098331694445497161392861278523068263576272173886190757406775681167291972814110936494150216086357675003370019968328858047478929907449606867<248>] (Wojciech Florek) Free to factor
10300-9 = (9)2991<300> = 661 × 4993 × 219409451 × 909599715918703<15> × 1312781142610220555791731442886796814088531285959604282653<58> × 167724222837335381788066096688395065923446964535816909617221682818743071569<75> × 6895141923876014443100467567268146905392631159761548211356179806046580541762123711605009064193916116161237785444672604185827887558556248027<139>
plain text versionプレーンテキスト版

4. Related links 関連リンク