Factorization of 99...991

Table of contents 目次

About 99...991 99...991 について
Prime numbers of the form 99...991 99...991 の形の素数
Factor table of 99...991 99...991 の素因数分解表
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, … }

1.4. Algebraic factorization 代数的因数分解

10^2k-9 = (10^k-3)×(10^k+3)

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

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

10³-9 = 991 is prime. は素数です。
10⁵-9 = 99991 is prime. は素数です。
10⁷-9 = 9999991 is prime. は素数です。
10³³-9 = (9)₃₂1_<33> is prime. は素数です。
10⁴⁵-9 = (9)₄₄1_<45> is prime. は素数です。
10¹⁰⁵-9 = (9)₁₀₄1_<105> is prime. は素数です。 (Makoto Kamada / PPSIQS / May 29, 2003 2003 年 5 月 29 日)
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)
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)
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)
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)
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)
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) [certificate証明]
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)
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) [certificate証明]
10³⁵⁹²⁵-9 = (9)₃₅₉₂₄1_<35925> is PRP. はおそらく素数です。 (Jason Earls / January 2008 2008 年 1 月)
10³⁷⁵⁹⁷-9 = (9)₃₇₅₉₆1_<37597> is PRP. はおそらく素数です。 (Jason Earls / January 2008 2008 年 1 月)
10⁶⁴³⁰⁵-9 = (9)₆₄₃₀₄1_<64305> is PRP. はおそらく素数です。 (Alexander Gramolin / January 2011 2011 年 1 月)
10⁸⁰¹³⁹-9 = (9)₈₀₁₃₈1_<80139> is PRP. はおそらく素数です。 (Alexander Gramolin / January 2011 2011 年 1 月)
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

n≤30000 / Completed 終了 / Ray Chandler / September 30, 2010 2010 年 9 月 30 日
n≤40000 / Completed 終了 / Bob Price / December 25, 2010 2010 年 12 月 25 日
n≤100000 / Completed 終了 / Bob Price / May 29, 2011 2011 年 5 月 29 日
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

Cofactors are written verbosely to clarify that they are integers. 補因子はそれらが整数であることを明確にするために冗長に書かれています。

10^2k-9 = (10^k-3)×(10^k+3)
10^6k+2-9 = 7×(10²-97+9×10²×10⁶-19×7×k-1Σm=010^6m)
10^6k+2-9 = 13×(10²-913+9×10²×10⁶-19×13×k-1Σm=010^6m)
10^15k+13-9 = 31×(10¹³-931+9×10¹³×10¹⁵-19×31×k-1Σm=010^15m)
10^16k+6-9 = 17×(10⁶-917+9×10⁶×10¹⁶-19×17×k-1Σm=010^16m)
10^18k+10-9 = 19×(10¹⁰-919+9×10¹⁰×10¹⁸-19×19×k-1Σm=010^18m)
10^21k+17-9 = 43×(10¹⁷-943+9×10¹⁷×10²¹-19×43×k-1Σm=010^21m)
10^22k+18-9 = 23×(10¹⁸-923+9×10¹⁸×10²²-19×23×k-1Σm=010^22m)
10^27k+12-9 = 757×(10¹²-9757+9×10¹²×10²⁷-19×757×k-1Σm=010^27m)
10^28k+26-9 = 29×(10²⁶-929+9×10²⁶×10²⁸-19×29×k-1Σm=010^28m)

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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

3.2. Range of factorization 分解範囲

n≤100 / Completed 終了 / May 29, 2003 2003 年 5 月 29 日
n≤150 / Completed 終了 / July 10, 2004 2004 年 7 月 10 日
n≤200 / Completed 終了 / September 2, 2008 2008 年 9 月 2 日
n≤400 / Remaining 58 残り 58

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, 277, 283, 285, 287, 289, 291, 293, 295, 297, 299, 303, 307, 315, 323, 325, 327, 329, 331, 333, 335, 337, 341, 343, 347, 349, 351, 353, 355, 357, 359, 361, 363, 365, 367, 373, 377, 379, 385, 387, 389, 391, 393, 399 (58/400)

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> × 44775636179795012311163717682654180139043_<41> × 491414688383323288908568605834125544173156681_<45> × 78656086768934668283302993934995311580249477101452705752254767430199620169944598160584208139522890448921048125423575993495772662710351762955907779961_<149> (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=2290442564 for P36 / February 27, 2014 2014 年 2 月 27 日) (Erik Branger / GMP-ECM GPU B1=110000000, sigma=3:2981891543 for P41 / May 27, 2019 2019 年 5 月 27 日) (Erik Branger / GMP-ECM GPU B1=110000000, sigma=3:2981891543 for P45 x P149 / May 29, 2019 2019 年 5 月 29 日)

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>

10³⁰¹-9 = (9)₃₀₀1_<301> = definitely prime number 素数

10³⁰²-9 = (9)₃₀₁1_<302> = 7 × 13 × 7331 × 7573 × 50971 × 1107763 × 15184543441_<11> × 2103712202632193_<16> × 45025676505007510629727031974690465041769541917582329374100999739130510425052905532469926297575092762463387049217244630943239_<125> × 243730068585584478919182949523798132584320178650870239133429187809547647306294989019226082403597339278196991144092927702654687675757_<132>

10³⁰³-9 = (9)₃₀₂1_<303> = 16631 × 2148071 × [27991940380593426774108651333137752208974520856666728448891264757577948295415732259435536356720545319591917780695734589784727238197351531414499493373465168504050210719294946095492272363116884636460135954490229257728921020378308358465664437677812798746004380079571334669837321180771331768159191_<293>] Free to factor

10³⁰⁴-9 = (9)₃₀₃1_<304> = 23 × 4561 × 40897 × 43613668999_<11> × 12179717710063_<14> × 128492693814335713_<18> × 45437738891493992896561871_<26> × 2456091372331436862367783336363_<31> × 15820959142195526790315426273379632223_<38> × 37703736485632074700837740810673485387490687_<44> × 512984128812055898727627163802656238643682023750525699947488641903977639699485179154894795956496215898216541692634677_<117>

10³⁰⁵-9 = (9)₃₀₄1_<305> = 9839 × 758468312900428369_<18> × 13400209794970163864694245298274421222953031676332776587956769223317544773303437912644058049312605971920474368081438039209298841826307962157173978314523284173466741763002789411547283578030435860351850571734431276522079546189432746271402790046305358833233781760462456511409463035151401_<284>

10³⁰⁶-9 = (9)₃₀₅1_<306> = 29 × 67 × 35603 × 108127 × 68063329 × 248622154980379092461_<21> × 300828367847782232594681513978143_<33> × 376761827601512787036094285501223811506077_<42> × 51027871295477704495929106254743812373411107183903051725312804583423782028610309611_<83> × 1366030211688845889671647585845412059913391266235993559996651995578056259930708624299661596143715652351500473_<109>

10³⁰⁷-9 = (9)₃₀₆1_<307> = 89 × 10665689 × 440070450719_<12> × 1859164361683_<13> × [12876003423488511258464353287787504179900106043550319887275922887870467097069830437651385723638317928184947657720818970647332971891192159296009660814547837717919417661404252545068880466066052773102557913166615615556635024234337814123885776298465566250839112755483650041971523_<275>] Free to factor

10³⁰⁸-9 = (9)₃₀₇1_<308> = 7 × 13 × 11243 × 6067869097_<10> × 3963860422906687_<16> × 1640121535660974334937516641312705897_<37> × 632474589733957453044658343116704489644784209341_<48> × 10869739116142629212501414649177235931983515829671794207_<56> × 149423443005462551721301379502643750647745574130417390277014997318813_<69> × 2411930932482573111391518332280642017351271749416029057705410264299159_<70>

10³⁰⁹-9 = (9)₃₀₈1_<309> = 227 × 757 × 709769 × 19680889 × 1332632827_<10> × 3478858156511526704628530107_<28> × 2799686404092413279272243607658311_<34> × 32096664839140846915868281000090542842834915513316046927222106596576277509541110838796847746759187815597656937731973484410566105873768916092858403401574865407848380644679238578590571621723041417280359801168169999935110471_<221> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1e6, sigma=1:1024705187 for P34 x P221 / January 26, 2021 2021 年 1 月 26 日)

10³¹⁰-9 = (9)₃₀₉1_<310> = 17 × 103 × 12007 × 154880702153_<12> × 391686191030529649_<18> × 82104127886814499369024993996312311665706556142420410416782489897012262753547_<77> × 1217965558782331157844625900310263781587935921261132202891162537797114525084649_<79> × 78405002635391457030676706184615649785350711027657238478281095755337430351474499513887628112682439095176668630029454693_<119>

10³¹¹-9 = (9)₃₁₀1_<311> = 43 × 347 × 19952279 × 145405828471_<12> × 5540431035911147_<16> × 416950205241874158122006067605033482275343450886592382385782458636842621640271188922056518501299672154479440463569074751509917639912817101353402186568087672006084788887845149402941882280356869019082207131119189466671973531535990425384054993758994253272835956770393241294477_<273>

10³¹²-9 = (9)₃₁₁1_<312> = 47 × 193 × 123229 × 641511403098200562871_<21> × 216167489536594248535065060052412135027_<39> × 272299045624505473727969700938204637516311713_<45> × 15198313925884879986745118948436722105397649149262271143998265333_<65> × 1558818744562398872697991402841893630143012651172541457423138666704986227205201971423330215046840119630888036798157768722999217670243093_<136>

10³¹³-9 = (9)₃₁₂1_<313> = 31 × 103841 × 6557543706509872958661717638243_<31> × 473727122744364087029011547710795804097944914132711115460847226674851172399502671517898219061052234039573237999361830348910811510517581398464886884280272424846530007251554273714641116588355047059835791806458240579014954550835103712414928462919107333031357345244926514219219747_<276> (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=17049316876899596286 for P31 x P276 / January 27, 2021 2021 年 1 月 27 日)

10³¹⁴-9 = (9)₃₁₃1_<314> = 7 × 13 × 821 × 20931943 × 59535608413_<11> × 1146345737263487202260106834601213235154300950255680685786659448040558774755069512496959672228916815351320280319430705170599927403331513169_<139> × 936943689684249976576407757893750585589806052656235360254848683594115993628782910147100159280427246322496017989318841937599550267028951560011243324276211_<153>

10³¹⁵-9 = (9)₃₁₄1_<315> = 7013 × 11056013 × 25613009 × 510876549267386627759052079_<27> × [985646196965947890131444034341493954662982772522158357084338615600948904912619231539027794239701476178688282336262809714835234801120963941479254701875636152937168427383521559817796343394287306622155390827018790041322223586797917903319814076227806352272361187816999611849_<270>] Free to factor

10³¹⁶-9 = (9)₃₁₅1_<316> = 19 × 181 × 42367021 × 18148299747349_<14> × 722833212759131_<15> × 8287054737166991_<16> × 56562887171939352687533078968873450917397_<41> × 12134121153120891677860517234609605899226468109948574988494138769478971577913168918124640360449818429183421_<107> × 919868505139973359950095591853139091124511216455186709452186566975892509034778546678321136339914604508216901712293_<114>

10³¹⁷-9 = (9)₃₁₆1_<317> = definitely prime number 素数

10³¹⁸-9 = (9)₃₁₇1_<318> = 27481 × 21857807 × 50342736358471_<14> × 1829717473047571_<16> × 1841110211004241_<16> × 224446788508453775541671_<24> × 1338658590656655944935771_<25> × 365088561996659184739622906690610283957025786636979183011_<57> × 90578648466036397927895461652215642063389691714124448760625362551232618315489_<77> × 987990919041950689473460539182933582912002522808957325027816830283534661995265547_<81>

10³¹⁹-9 = (9)₃₁₈1_<319> = 683 × 1317855137390707493569_<22> × 148097295182911925851158501806201_<33> × 75017829700603681693825897439949116532789016707450962376136654574247246587594595777509450489387280536295706319345167995653262464137286626145652683623902879328384259621970658362954353989809202845579331362739961762919775637385071090322255504500381831317085180728333_<263> (Eric Jeancolas / Dario Alpern's calculator for P33 x P263 / January 26, 2021 2021 年 1 月 26 日)

10³²⁰-9 = (9)₃₁₉1_<320> = 7² × 13 × 383 × 823 × 2418343914073834818913548979_<28> × 52771123082243438120761219452533939_<35> × 3104829324566476660204837376960208819056316254480075411_<55> × 12258118210972106300910696745912453876036288591144435630300652094167_<68> × 102538278668961192433911894438328850160845843852041786502290291129164567462464059585048892813551072785448461295685350000183704391_<129>

10³²¹-9 = (9)₃₂₀1_<321> = 467 × 283427713991310780472191521479_<30> × 597499518339081789409376669438801_<33> × 117152146467268219698868961811535651262693_<42> × 107932688680055762477670164841086253855785159786227999468475617774170732540876995563374124179276683248835302492918830743338725421823247761781050259049916997343398122499690269442417590794352832733697381173728154474559_<216> (Eric Jeancolas / Dario Alpern's calculator for P30 x P33 / January 26, 2021 2021 年 1 月 26 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P42 x P216 / August 8, 2023 2023 年 8 月 8 日)

10³²²-9 = (9)₃₂₁1_<322> = 13384170461_<11> × 821803718884451141_<18> × 55689458843269071823219640216823151_<35> × 31215643436669954814773315727432097321_<38> × 5229921251194894076800387430777663894801697083886414650870293_<61> × 1832934247661461281400687301882801770474799900077065371833785212553683_<70> × 54557330753999730405854658459191838430800911789742566920056359690858206347228970175385246959_<92>

10³²³-9 = (9)₃₂₂1_<323> = 154461443 × 8118562238391659113243_<22> × [79744508901110247886176676509222412682507570273282562109815646401611403808379188240064817143777881210919114051631130476677119728064190200393963408995269086083015054922737144857560660363508997202017863404031088207432706934096286916202745722508919025524064492919495020299689194424065431314684359_<293>] Free to factor

10³²⁴-9 = (9)₃₂₃1_<324> = 61 × 307 × 28573 × 2863453 × 598650709 × 354182214425353_<15> × 4476604141360639_<16> × 63956593517591989_<17> × 1666703277450239029_<19> × 5307058833843425144878832431602327295573609756552142363190498888641659020136398337312984088684612281_<100> × 1215456529967844490860002956956766684679615204826635405672103875715862231362250509284023146316779151931571158384340272772956845556391379_<136>

10³²⁵-9 = (9)₃₂₄1_<325> = [9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<325>] Free to factor

10³²⁶-9 = (9)₃₂₅1_<326> = 7 × 13 × 17 × 23 × 857 × 1249 × 101212127218177995051360397159896256673_<39> × 117231589899843222398103253015079733333423108013_<48> × 53769799816620504426761135790381137170338896156057801450767_<59> × 306302235001175754564541527345578429311753804119402165243024733_<63> × 13436086681281923664269307468592392032596002915199098937195994818328776362541162076537167449224244474925441693_<110>

10³²⁷-9 = (9)₃₂₆1_<327> = 677 × 18119 × 550724231725853_<15> × 774051739021363790574173849877071_<33> × 6835158860814669948529385261184522681239_<40> × [27978492913161923614564706888187290097087207198085103462597871522998056130276243331445472141316697538504740262524044333798918425551602373346836857484646461040564799024463744149221942827095405159950513879338395664575436836282614595401_<233>] (Eric Jeancolas / Dario Alpern's calculator for P33 / January 26, 2021 2021 年 1 月 26 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3077784 for P40 / May 31, 2021 2021 年 5 月 31 日) Free to factor

10³²⁸-9 = (9)₃₂₇1_<328> = 31 × 72661 × 78059 × 34398655802053_<14> × 4075389007177818510425958607451799493_<37> × 36841398161094229698993656374635785098993_<41> × 316684198450990245853796446126980851388377309015444532754266605694332398770449162432993865124395996668140177_<108> × 34772900113347798545372640730250755934955225972025356975366115874254163597722740653619367252030365507420285880379259431_<119>

10³²⁹-9 = (9)₃₂₈1_<329> = 599 × 43330601 × 304216481 × 35402504372998864102585473147317_<32> × [357735254300346641037389281384459064827721585410149372716516209615444860286767910170608775613643144775985828207292090174543464234668069523140599822256060355504421985569436320002435098208317835413096977807013891815103152665162031590503276424986906433554588552240749470572877213717_<279>] (Eric Jeancolas / Dario Alpern's calculator for P32 / January 26, 2021 2021 年 1 月 26 日) Free to factor

10³³⁰-9 = (9)₃₂₉1_<330> = 431 × 38239 × 56725169383_<11> × 1693194240447509_<16> × 1588184880884744278485835046657_<31> × 6697081516361988272236718453873_<31> × 9724910962239622540990620193028590711568046948990342160048211399738346880582051939871864183726938718963260603503529_<115> × 6107470012775150366829754092015054516474407019707159078145089779525145974239872649362120407931411527628863447502994173893_<121>

10³³¹-9 = (9)₃₃₀1_<331> = 249521 × 13883950927509340582757_<23> × [2886554939107614521225119710222595509951405010985835743282380968218767478950219514258549477840583273149498288352044753519476299689051189846808173218242162009977414396699406033389866233945645368375821774850913865622497412184994094485188890888588093375814421950423044720807607294647928387991481340182229403_<304>] Free to factor

10³³²-9 = (9)₃₃₁1_<332> = 7 × 13 × 43 × 18427 × 954097 × 289958317933153_<15> × 119301064770536868551_<21> × 5657544674639745614620897_<25> × 1151921209031995449835503865181231198407371624530198454905628788988143684273692588815971197309672350920721424851757_<115> × 6447811431610474163489067561741208740789494828388135936707382305996480761498633521317934527284276325497821886483378695170021429839503092367013319_<145>

10³³³-9 = (9)₃₃₂1_<333> = 71 × 54997168351_<11> × 300733045519_<12> × 3916908786343788919_<19> × [217408595899138914384371329498963230697044961431917523696548017380790922355765820910062201904422284480642284854848193382352736215527669867364093746212796422342223131033133451763904952636643134040952492859782030081036174195288218518488683838477632949070414039126864653476415041329030396191111_<291>] Free to factor

10³³⁴-9 = (9)₃₃₃1_<334> = 19 × 29 × 359 × 613 × 16301 × 45083 × 3042701 × 18584261089_<11> × 5418606523951_<13> × 210504879244969399_<18> × 104420640192739457415377_<24> × 31526805695475073355593889809_<29> × 12671007740661978399849262965676367229484426614023_<50> × 35524907704428477072483751792823172988116747462504646589_<56> × 1174090648077126681817106763823790572520076120924866337337210638180510291756960164289667261485502749802903120385251_<115>

10³³⁵-9 = (9)₃₃₄1_<335> = 11437 × 1317470653_<10> × 10550946373164012142147_<23> × [629007050206034696457982413113759549562620101619121981483488491005020846075932255500206317420011083921147504112371921251272731882722946468071047624621425570450945360398922963063540322871815871561089466859643433298617389236188860762044667528541028719715555019008721456219989399158076475240168621246373_<300>] Free to factor

10³³⁶-9 = (9)₃₃₅1_<336> = 757 × 24733 × 13293083 × 869228495029187_<15> × 2726503339299619443116347_<25> × 3574884941983036986718429117_<28> × 975590727494159829512394250459329181_<36> × 1325372390074496447669080069340310031238497245742542719972705527019954706661_<76> × 366770135794837747000992668499668273784835901175430418496681764060260154921883996542610623298632476729065834630837706796434505670143580320217049_<144>

10³³⁷-9 = (9)₃₃₆1_<337> = 643 × 43093 × [360896190412294664954623258842795748743927876484289340725305344342062606177914820487167271306129146918276753893230810905950849764365463836956628831152154952656013708858330525260225100337261098902193487346744981621181055158688039853333231801205097341100926099323178893462686708290749086598809280763125099720128613297169610274339209_<330>] Free to factor

10³³⁸-9 = (9)₃₃₇1_<338> = 7 × 13 × 191 × 997 × 3863 × 13619 × 937984031 × 180929343137_<12> × 415945381776047083_<18> × 1802869127948399869001169907_<28> × 107764868788831277178037213842637374181092314877532084470985459283443200337152000576316948734185833115459_<105> × 7997937200838313892127931718655153495116865289194887268859458211494173410942165025423695566604040066364480326329558069663167876425851246077505828792450783_<154>

10³³⁹-9 = (9)₃₃₈1_<339> = 67 × 83 × 425443 × 422674183622133408523238353779359366713492442940431813405436600953493023052295351111097130927668818147438978045205217811524080841065054695309496625847573799655310302209027622896161282912652262779500367862429501290581306057588918782713077136813178581026490739690696745478062408268422036721634665117313306312530770072973552355323717_<330>

10³⁴⁰-9 = (9)₃₃₉1_<340> = 1447 × 101377 × 5131069 × 10740883 × 91413901 × 1019392014671857_<16> × 38817280012777264790994290797_<29> × 979614353591462245935054061765020517_<36> × 785177523560258358188968099569100871126763206274307022292736906310723_<69> × 3281006120624321591156094138451344572368459459917701683211206237910480987_<73> × 135498841902904458414080769423196258648267894198367246061470273791512538221196685877755299_<90>

10³⁴¹-9 = (9)₃₄₀1_<341> = 653 × 6680941723_<10> × 164780146523_<12> × 72251050985939123132530693_<26> × 94740719150223384481810387_<26> × [20321857639714699377406777928535961378496596911509947531576768068088611374407210002992305083676411588046533362076305293622942731116092115281332599063662889469786342418460443998982096217757592145408593706330329722548517471251587175584915618083760690924334914603703573_<266>] Free to factor

10³⁴²-9 = (9)₃₄₁1_<342> = 17 × 1321 × 12853 × 11766503516695099357653883_<26> × 3324774752229019712326210320791873479173334110257_<49> × 25561735879742056874997330779164365467172026436929398740217995340496906772469307561544143733079913_<98> × 3464525430120745536354805319810671584361881931738032778228475966245835497521320871384548149369868130565394162990421200406717269963938898091265099558109828511846257_<163>

10³⁴³-9 = (9)₃₄₂1_<343> = 31 × 107 × 10243 × 3244272289_<10> × 75854951483_<11> × [1195986076858811479230908707315320918373259420006045344198857613963838799948725388176200836393463142473654385963028688307361119977028073460937071666538599467356557326208385168018703502736977259306436853211736325866981385064197603892129312054007343020667200873921153036975442054454176611099752633657284490360032784203_<316>] Free to factor

10³⁴⁴-9 = (9)₃₄₃1_<344> = 7 × 13 × 103 × 601 × 4840357 × 2412439469605103_<16> × 19951191129181681573453_<23> × 47695920600537482943787602169976077_<35> × 6217133466469352588076049198728375528009389334759580516393_<58> × 557539556864326003687860376816030662505048470832785370594510043757742996211567557732388956389983_<96> × 460889856884875870260428947472281235450995348075280309946390712729504236795643811044642178283027609350143_<105>

10³⁴⁵-9 = (9)₃₄₄1_<345> = 17987 × 23820300557_<11> × 16284640002187_<14> × 5040547454686243_<16> × 30602031357859188822224993071132333188959_<41> × 929154431369556255531061937790787557878997766481369481680108834626666574013751025778626134198357808533610330711077398167601071836311866898883767966057894446909314596856270396707401604615433016046752643309958469121676016738760555608248579864886696905612203441071_<261> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1e6, sigma=1:1255066791, GMP-ECM 7.0.4 for P41 x P261 / January 26, 2021 2021 年 1 月 26 日)

10³⁴⁶-9 = (9)₃₄₅1_<346> = 379 × 443 × 587 × 8753 × 14107 × 2625274331_<10> × 15166668857_<11> × 47348365966898498973654947_<26> × 35007558660244164081437512887499_<32> × 4654165597283817538340682232414823_<34> × 40361001768340277480175803085457851847516030385154257084426979718995820425855241290021507034719463_<98> × 66281431794713202969955544003490886754601337940508012963182198582216786419780605860128839549004095099134596062756894253661_<122>

10³⁴⁷-9 = (9)₃₄₆1_<347> = [99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<347>] Free to factor

10³⁴⁸-9 = (9)₃₄₇1_<348> = 23 × 1163 × 9701827 × 2365502310860023_<16> × 27679823238177256411_<20> × 9186220463951276381973369277117_<31> × 291422925891151054317621660625168167319857245759119095307699_<60> × 5401769776185501645973607904479822156071281325941785500003058562905410087_<73> × 4069636176380580243700448677397479416475319991645050276797201393172279819383880927886129587096100310693561839604958692725968199665999961109_<139>

10³⁴⁹-9 = (9)₃₄₈1_<349> = 18848533609699321012465859759_<29> × [530545251268463202692214503216529703309874921162017982007953960816120597290161875198007407761530808164100391280762470509147509367823368409602320472855392512434514559016477677924950965338128318627355235612929833077544241971125796182278725328398397476052425425874088685025152936604092588631509040783332194272593182907880249_<321>] Free to factor

10³⁵⁰-9 = (9)₃₄₉1_<350> = 7 × 13 × 1597 × 29881 × 1550513 × 172999063 × 84605989629414611161564159889389410528733_<41> × 9268821528859618014021841051698997978389808253059_<49> × 18669541205894303564860318174560332272211175169567548259092720680541673892290464197693810037820913078505439459_<110> × 5863813190635906011331311978267233281067998931182925784006119151460092105536944514992383719950101352924989857277216412589708939_<127>

10³⁵¹-9 = (9)₃₅₀1_<351> = 89 × 1093 × 21256693 × 128612719 × 170407397 × 5255428049_<10> × 94190986907_<11> × 780316450649237_<15> × 22145320987318294386209_<23> × [2579595344216122253859818750136979769581374584562308642625098827989249806401830557883017962210472470855707745845130581323411376643582435594908263256664782272773727121221665483659233079926155517471294749768466326961055175074668347111094315638667194568105897809312243_<265>] Free to factor

10³⁵²-9 = (9)₃₅₁1_<352> = 19² × 44671609 × 2107261963_<10> × 1630871011403_<13> × 274954356330508669_<18> × 2551746123933673099873117_<25> × 6165326947505579813146109111140967_<34> × 15902473362316519828155848907387241210869028241932019_<53> × 2274568355541311973196278737571018169468417735311027313697927_<61> × 1153201532807390266144798059863797260784393582736510371997062309294014366485630695096794534723552052657014402203871380895801597441757_<133>

10³⁵³-9 = (9)₃₅₂1_<353> = 43 × 199 × 4799 × 66865278191_<11> × 342302235588253_<15> × [106394046483874538022995499304117812512225718227819286053088308898162377809152005845299937677910987987623748047463885811207944635563256273836794608606283352787976413738507666598649719085871723093605542354414073564920231686699054515504243914533215299120996429846511043261004346180172121061505962542276134671455942113909919_<321>] Free to factor

10³⁵⁴-9 = (9)₃₅₃1_<354> = 59 × 135283639 × 55371362340947_<14> × 18059877122808340430742244613013563327679471278269573829298683525648181599376757758591753124682350190319081363056956527632819340314820942596332452226987651316311151_<164> × 125286048391800588361850640267227794445832959789325876768451615315095399585870049077693593464376410122429099263042518907194131758451689485688908015736365176891138065903_<168>

10³⁵⁵-9 = (9)₃₅₄1_<355> = 277 × 6079 × 1572686659377193202550965849_<28> × [3776120848601546374329215120654802168874059395840076127512511161942811320214543590472484050147881089185732973314997350576471660737018103641333885772813687332774232175245365085349320924741501275112446069153027224122175554910978955767247079975233262786583660401832396652996338652189316380669639255238087744540592803088644973_<322>] Free to factor

10³⁵⁶-9 = (9)₃₅₅1_<356> = 7 × 13 × 157 × 887 × 10847 × 24245477791_<11> × 5078466902270143_<16> × 4569709099059178801353087954144739_<34> × 52170205801655912072668661692945628873867_<41> × 791376560196615965346312862807404223815327503783_<48> × 841050813852720381404892919400005717849954152346218888253_<57> × 19227735730244777938096884405431184217580235872014168819807_<59> × 1936500685368344801593175804002836251063019833454008113128462336831727700966974861_<82>

10³⁵⁷-9 = (9)₃₅₆1_<357> = 49250175081326228191066876637201244145101119_<44> × [20304496346433528344320871721182309406015905718250190531855816669910456029391245374642617317570050340610409152859708081895761518650901040670446351972065073547423408169787038357171606900110342041663848365254088208761286080050002025753860172933959669740841969907346456154631681307711125699978977103164198201456591689_<314>] (ebina / GMP-ECM 7.0 B1=43000000, sigma=1:1290701566 for P44 / December 16, 2021 2021 年 12 月 16 日) Free to factor

10³⁵⁸-9 = (9)₃₅₇1_<358> = 17 × 31 × 47 × 631 × 31333 × 95849950813_<11> × 251303759561797_<15> × 144295128397493551437767_<24> × 15923517945400036446518209_<26> × 47527552610960667080491218952801922312569073_<44> × 38918563279240249010933742596447312973214118388632853991466677_<62> × 54062702222061890579230284912359478718122077297383163210696543917211696057_<74> × 3689594329477766500239026122115273231811086695605830223270786654498622945351784832023465257943_<94>

10³⁵⁹-9 = (9)₃₅₈1_<359> = 197 × 881 × 305639113550082428435677_<24> × [1885163115938102293193416275243617407641446291399813736450384468240057651483228747291093747152440671195608746931238667968648292055125665505215398170211906521404554703461343900517043871438665926458168868732129893110768197119373028808877050565566759950642713171766826815497528720224647460460562547024990732700613688018601769284121719_<331>] Free to factor

10³⁶⁰-9 = (9)₃₅₉1_<360> = 1367 × 157273 × 3065749 × 11776081 × 203111927 × 28123846354801856041_<20> × 846519155191153820587_<21> × 1997982784607846287288591439_<28> × 884403266401745403066662061337_<30> × 77061435151581887669779157560546231_<35> × 358973532348162743960395756571356050806941762717102886738109229779498599592784184526510037463_<93> × 545068896844122913071888795078742584270297590744667404658731433888121502839542622364777079658746154067239_<105>

10³⁶¹-9 = (9)₃₆₀1_<361> = 57917 × 33681330748669921_<17> × [5126308044665089206717130408302414211306151134782892889094016174735390962838926326917338000473418735361804651724250206805510406084794604503190722948648040146087540196862386637630851996117657814497818822049518031004433887543146995754902218940786663412059563542893244461882546752673297104913175630125650255485031533185741828151712444898649763_<340>] Free to factor

10³⁶²-9 = (9)₃₆₁1_<362> = 7² × 13 × 29 × 1109 × 9049 × 12637 × 22283 × 276839 × 401861 × 42761227 × 1663897541401_<13> × 567778372236420859008223_<24> × 1532981193615527484514405799609482821607051_<43> × 34273287916338305827882815931576821675327660476177005655675261693110284969286171894067224321037674217_<101> × 8112626410132975610523776098645246540649842833885955258262588867908596844334114037682190019238078715729021516276868996872278698943674339557232049_<145>

10³⁶³-9 = (9)₃₆₂1_<363> = 757 × 45566514733290279786919_<23> × 3743834486646758997312284402727733_<34> × 8020202935991396663921724773769839_<34> × [965508965273153018922162084722235032254599954510461066477417025177109011864725702638298187220202141194623717717217092691174245714653260420129582211752315730848797855330257443033237481199950481321994659601663733323928003229440470911287683450681801046168005652209287968471_<270>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1e6, sigma=1:1948594086 for P34(3743...) / January 26, 2021 2021 年 1 月 26 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1e6, sigma=1:3561997410 for P34(8020...) / January 26, 2021 2021 年 1 月 26 日) Free to factor

10³⁶⁴-9 = (9)₃₆₃1_<364> = 406739627350936953562388377_<27> × 65534081280247754710444002932518609571718586565539736236949437_<62> × 1525923581233455345160090558666254929382951100902891094757531494547444044927553100912619162340394581853825038559214658881_<121> × 245857529671480737053230473791951684664784508684537281437794354233101717382061812791982857492060102011506560855529194447399887136377222705239997696635282939_<156>

10³⁶⁵-9 = (9)₃₆₄1_<365> = 152729920909001_<15> × 184704203457124693_<18> × 226144519327751610585223491436969_<33> × 20536523444320239628885693119566985361_<38> × [763283899768408103230910324721709018105645113383852263954796680328877135907667234850261784814751599202110183518820109852628484206527744828917025053429482585174331324846523218482958212623042335667755830963750811622956507180594041254130380660503250731676595615178843_<264>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1e6, sigma=1:1239207913 for P38 / January 26, 2021 2021 年 1 月 26 日) (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=9765181439276593902 for P33 / January 28, 2021 2021 年 1 月 28 日) Free to factor

10³⁶⁶-9 = (9)₃₆₅1_<366> = 151 × 12923 × 17483 × 25178196771757422913199_<23> × 933117569841898167847121507997565334597441979145809194835421103277629_<69> × 188390807605255530626257304680534003937129925316441881292013806724137417102624644823_<84> × 6020764512776596637935748594527916970455883912337190641386916348913598221840340985957_<85> × 1099946118510003646349468098078650177107070925385139448756306534652901227896353302429603211134929_<97>

10³⁶⁷-9 = (9)₃₆₆1_<367> = 163 × [61349693251533742331288343558282208588957055214723926380368098159509202453987730061349693251533742331288343558282208588957055214723926380368098159509202453987730061349693251533742331288343558282208588957055214723926380368098159509202453987730061349693251533742331288343558282208588957055214723926380368098159509202453987730061349693251533742331288343558282208588957_<365>] Free to factor

10³⁶⁸-9 = (9)₃₆₇1_<368> = 7 × 13² × 71 × 682781111 × 21237789308365515286691_<23> × 59850981433891272224551448459_<29> × 35526514573141366935363086929873_<32> × 9818100172727968626557779746645595165748218531909597522519996742899_<67> × 27029640058852148978865133701306270767865770018364227207516059812926505552026723332704229_<89> × 145503855474974097626225854491524811807124225128548763972026441569570512183910306970186124416727300719805279405934471_<117>

10³⁶⁹-9 = (9)₃₆₈1_<369> = 73745951 × 76972995279707_<14> × 863355269204852999_<18> × 247219932838459544603_<21> × 229893897919786200581081_<24> × 945437268936641297721563_<24> × 183827374789157579394400037_<27> × 4911285855246887732286455754311_<31> × 4206150858471968156105661245873287463952738434518009260218683456003576897539704457899732255373846921765500116799992314923613788335830316368143585129083787499577604704126293784783190694122720004745066552399_<205> (Eric Jeancolas / Dario Alpern's calculator for P31 x P205 / January 26, 2021 2021 年 1 月 26 日)

10³⁷⁰-9 = (9)₃₆₉1_<370> = 19 × 23 × 503 × 1129 × 834149 × 209205551 × 14115364562059472946776292563_<29> × 26150471097842868319059494133157249_<35> × 14664279305141722711057404987986284967512862293_<47> × 81706751742101878914198180697174396445076811730083317624603767885137213081489306839670834484075902356418751_<107> × 522094974805393808120588312898179627396251001923170837778218768489811574700366797020490210824166469329055959469753995440922219261071_<132>

10³⁷¹-9 = (9)₃₇₀1_<371> = 293 × 771543683 × 442355936349031129575769268720404621835115681990039541459256302468853950769590199816638891307656620507026083812692252706364018389208197036358656835005114393861806152517475140117992245694886623984605640703635986451094694088374866096019800871677606429501828763093674355633500620462209075229289427193317883421132383834091885988220731876223787791919117184425453689_<360>

10³⁷²-9 = (9)₃₇₁1_<372> = 67 × 236376199 × 8127551942626729_<16> × 1722824519095740938809_<22> × 261627697235382405889957_<24> × 2794375354729699423195302414791_<31> × 1403798305304970569263149298320701925000798579112515574792490581_<64> × 254923894058162016547383948462936505002153943365682215815145922514736240238287839605743865007_<93> × 17236017886894906417062328512313986195825653145562258653640735221036113649521785485305122981525096369308707643251083_<116>

10³⁷³-9 = (9)₃₇₂1_<373> = 31 × 401 × 344681329436390776624107199_<27> × 234417952843510648057471594059425507_<36> × [9956009566363345292461969749007068123144184277673489480409870205146615994637188069371307564532035236717090874195993986030862121455142704298245744182493257842000075339805323358881998866207734752512244426150631881997571850744309849434336103118600695079305341070647135412429049673826979773411664514179604868077_<307>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1e6, sigma=1:2228417758 for P36 / January 26, 2021 2021 年 1 月 26 日) Free to factor

10³⁷⁴-9 = (9)₃₇₃1_<374> = 7 × 13 × 17 × 43 × 2939 × 13313 × 26384109373_<11> × 120481823420297_<15> × 26435593693254727464251812484252639464200435992901604382899490599643545266965330830563291255340298310876315241349765520028520079300391507697131934074806361172623_<161> × 457206792669032515006444892335628392543525556187910701183638017522665490557301184323562531729291290952147924028419653638904041607201091988424155137876697052520530222591269202231_<177>

10³⁷⁵-9 = (9)₃₇₄1_<375> = 984121 × 248723947 × 6918711031_<10> × 552047019386764290132973_<24> × 1509777935612623997309260715107_<31> × 869391017512849785449624028449136641831_<39> × 814900183168563590578612454235121302648328624133325091852701221909985625549363600405396540426729803158258126056739550966983940851372237544201207749415148369031034623266923608498221335286923073039637809923093568668106992062723733282245059097042915458863574283_<258> (Eric Jeancolas / Dario Alpern's calculator for P31 / January 26, 2021 2021 年 1 月 26 日) (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=10341600052471464163 for P39 x P258 / January 29, 2021 2021 年 1 月 29 日)

10³⁷⁶-9 = (9)₃₇₅1_<376> = 1128805098352015532983_<22> × 68181059276881620949567_<23> × 330546084791304846847511_<24> × 3562247528919238271756225579280817_<34> × 4509864049590597579503737782555387503_<37> × 18831305910794443918566298283063276453852879246305489811969783216115588049782475570558077809077_<95> × 1299323500467930791396487288889578811241087525195872920484445906633755265625230556420310428586160342478651071536317223748214031066444183439575723_<145>

10³⁷⁷-9 = (9)₃₇₆1_<377> = 3511 × 7853 × 943477 × 262458072997_<12> × 30408460917572810496539005447809106266397_<41> × [481668095089836741210867862311441324933599658433586837241790513760204178512772880781059181411108613606387576239820743670462514330825117148315586988822855207883076804573633939645789323135066411204440935023901893464903428771530643619129997765368787490607942491187969599219503095221961644072345143486184795084172289_<312>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:2398249256 for P41 / June 26, 2023 2023 年 6 月 26 日) Free to factor

10³⁷⁸-9 = (9)₃₇₇1_<378> = 103 × 149 × 2579 × 7541 × 18804384407_<11> × 89411784830227_<14> × 1127252375215559_<16> × 14562393969983724076149829192659260150257866876834441940485289038529_<68> × 302326156316901099415054234018340088084227443035320038122354865868161_<69> × 678896924250950617425559235848387983568344761375171256368612766118378019400194027494837_<87> × 591437476219810516482416279726351680918559050304296108071406764500238722425132110736588185644157436019309_<105>

10³⁷⁹-9 = (9)₃₇₈1_<379> = 1289 × 808399 × [9596686661782381807823660606205172874948644171039554489713839864836196060312338888725046790109314235924317269950393795766640675544324139431446659507621588261411952005883659496194813453227669987308026812386314111026319372851229281484044983965860723837327366679131770982700263122242793349197878363361210751616040528174340887636185608752829274768667525517021229994642620881_<370>] Free to factor

10³⁸⁰-9 = (9)₃₇₉1_<380> = 7 × 13 × 83 × 109 × 1999 × 4643 × 9733 × 3233311 × 754010347 × 2866919243941_<13> × 60176382186443_<14> × 17720582280902798851_<20> × 24247727135706472746493_<23> × 15856958895942670619463887_<26> × 33133578244863317770306493209_<29> × 655722163172284079918744219522347_<33> × 623346172585568150454866799443866912070379169_<45> × 13306031615599752194914775123337309874878370542863648083_<56> × 2603721449712924915210778259443446461003757003516119146794621306240164054740371466779177155953_<94>

10³⁸¹-9 = (9)₃₈₀1_<381> = 1009 × 1985396566409_<13> × 736259024211169_<15> × 306288815263290105000787523_<27> × 613030007034372677240599315413632710307_<39> × 3610921650256871320088874964251571667567296235253681024495501487599399984813843062587646408842807000472790469594047024065741617900235137583924434467466960934002996855518088236617816102008589855668543328508689972655247609468128033786748350661138892738750511873440822073505957794305415479_<286> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3462383292 for P39 x P286 / June 2, 2021 2021 年 6 月 2 日)

10³⁸²-9 = (9)₃₈₁1_<382> = 113 × 131 × 283 × 364918399 × 2454455881_<10> × 13778267355178489115141197_<26> × 4177672914958740985247164938293269252349_<40> × 6263791373890807735811613899906525630519387461611911965595048014000039506928204827175275652877326155130619692271533_<115> × 7391737031054034589007515021831787708398504680473196668794012823857987599608801925026887857796126260809187231355419555325617501980500742977895790062370774459036409973579412446189_<178>

10³⁸³-9 = (9)₃₈₂1_<383> = 1914883 × 23542061449000977747711679044793209757_<38> × 2218264185579787414519937556430730462728714750866203678585272114275249681633534361905504986933071005090987542139668887370465508170733565066362975054844262479597558673747482967922584004342065402356827672715046834527726817440826552127637669859015114166482759614455426896018022418451820144357002082388064659040889060927530907274938056859809761_<340> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1e6, sigma=1:567321207, GMP-ECM 7.0.4 for P38 x P340 / January 26, 2021 2021 年 1 月 26 日)

10³⁸⁴-9 = (9)₃₈₃1_<384> = 61 × 727 × 3373 × 84691 × 1103279 × 24599628043_<11> × 4365121677427437126043_<22> × 157349786319867767245849_<24> × 30864312787215673925304239_<26> × 476691394985607038210799064159_<30> × 728214226699773901950646153594957_<33> × 4461889850767293887261615958368082112572949_<43> × 22496929711071392186319135503334358049659922899_<47> × 1469423149375244910983689431513647763628819868757679_<52> × 2679561266563623732221821991758971715091712588908370052804206440102760114201548833_<82>

10³⁸⁵-9 = (9)₃₈₄1_<385> = 613 × 1965889 × 75409074547_<11> × 152451410568773_<15> × 18029300236858159343093_<23> × 453443992293768119242303470418821106121_<39> × [88292324662915444083213750608926002365267044935240128764672088990240698044666054882335634694204002069199529233301794415319138889491678647051265559002999936774200428880253627818002822814104560999803479645733001850988802416752523575912497856488719713223330629154039102417974110737853155564441_<290>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1264572932 for P39 / May 17, 2021 2021 年 5 月 17 日) Free to factor

10³⁸⁶-9 = (9)₃₈₅1_<386> = 7 × 13 × 877 × 8231 × 1678751 × 15401293 × 2788197000323965150474047104253804184927_<40> × 29882429209784000771022195617041437410042851_<44> × 32086993995745969087474415925261704207577931_<44> × 44095583371083728484819491359867319193267620311315009_<53> × 49945856444051108615960411196044983415952853389047869602197086259625684075306584273850853351678379810758046793164104418425727682034928445992763774394186853712167593281341328339719968267_<185>

10³⁸⁷-9 = (9)₃₈₆1_<387> = 16921 × 245787203 × 4756634791_<10> × 312135093401_<12> × [161946773472527140721265467971280503848783152427550772841103155613199428560774499440724293835716221866534626495751028521114451729652966699119258160105273268381459946738716428573226606686269880173676241601342504662180155836559481863827627611862358650865530992899847278682081564928153119371266359195538440633473819679752437934847221782319293447951208451627_<354>] Free to factor

10³⁸⁸-9 = (9)₃₈₇1_<388> = 19 × 31 × 97 × 2797 × 12409 × 25729399 × 5851870639_<10> × 13068964567247_<14> × 104158554145423_<15> × 670549628153749_<15> × 209791664762566759429_<21> × 33277844999548027200089593129_<29> × 7588861276621421644017922022901115597982312020844439616721880396337_<67> × 547978823634499643594275398528213777607811823908668830812226219613837_<69> × 1263887731759476343000875801231412637930730552439455420562992121150851058349170733639270998372943091867382096788885439846712019565259_<133>

10³⁸⁹-9 = (9)₃₈₈1_<389> = 278124037 × 1074292981350001473377168265045754489919_<40> × [334686917794023032381969430900196808350325237465652807590425351249462409836827787587779512244344305663523487814032208880973201802217103895249286133218200454478969482818709819941663190600630730832749053489656462698185698533865429061716798652247365942553871302050932534735815027614439044017874634190949807449575122230366496123667760565185082997_<342>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:2846624318 for P40 / June 27, 2023 2023 年 6 月 27 日) Free to factor

10³⁹⁰-9 = (9)₃₈₉1_<390> = 17 × 29 × 547 × 757 × 10957 × 14549 × 20143 × 3486070789921_<13> × 353847791062159699_<18> × 5665894963755404087_<19> × 3716980845847683543091400230216607187416864185135016360613137_<61> × 20272161969880531371430224661237837143004245314829323956717291302611671_<71> × 18459750205074881191572660444812378965121433733944512974732242794281011685914941573309_<86> × 156921877738483238725473671891814394755506195376285264576632292127169763372797874371104470647913040421173_<105>

10³⁹¹-9 = (9)₃₉₀1_<391> = 397 × 10627 × 36424871687665736127693555646744643_<35> × [65072992959793364447535414917527612692243402700994921905909073905523486114736683976047339824001633042681375539763163333433070125114629163862914001574348634544230752991109066189055876936513287068217106622854927151151161974460482500363333503496594431920810828584244184730640981607120525815450119744563886303780176833584137904431387707090791398542761723_<350>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1e6, sigma=1:4219576635 for P35 / January 26, 2021 2021 年 1 月 26 日) Free to factor

10³⁹²-9 = (9)₃₉₁1_<392> = 7 × 13 × 23 × 769 × 13230939634531520926993_<23> × 925002610176773043912732992351_<30> × 62987104284505836633516873338213171787376575065999_<50> × 2752508262761669324008667413574517577856587387092720436281875809_<64> × 56417934556108457082508192988461477344095603874555189373146348761406089659711754834237591_<89> × 519007135382076014806320192315848747738324564942772903565586965269516034842355760568492424090789108493561735010406846967181255450181_<132>

10³⁹³-9 = (9)₃₉₂1_<393> = 678176787562249_<15> × [1474541768960517908354356231520014504984971366450949955891545191224503836901769305480249517539200569855396744506050213420557217560006407273423762168557920789598594140570281776775853640784601296479495553208458762396562637437036094931488553973265811613639425092918798002048835596825056523971984305698855770634219660804581077370737394214851342058828161835574482492733982050822997759_<379>] Free to factor

10³⁹⁴-9 = (9)₃₉₃1_<394> = 310081 × 7705783 × 19106066785697_<14> × 23966692732375924083199_<23> × 19800200290640756281384783_<26> × 1506740400796917587901655344160313161129_<40> × 144937967623748042799512511778911106094684897095036555622767428355565706896710086626493506929331448785972737501085874126869_<123> × 2113676338782529383631911341697070869314713846244158628386025817812523873083823305465977453836754943580723873981756958063209332596570098946045694781651672856933_<160>

10³⁹⁵-9 = (9)₃₉₄1_<395> = 43 × 89 × 8412148142290154922762771176601791933_<37> × 3106237264922158136251365022068753934917842719763104956441520604884015352036540903618779685192068925856259432864466616831535620653516658742257024912556996988510852148975171605413203864265541926907099294568686875060546423943079885229746362500965694432654555373598772519671076292565752124482474869409979363377536494619092696987435118535269842007158777596401_<355> (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=12245724235589205578 for P37 x P355 / January 29, 2021 2021 年 1 月 29 日)

10³⁹⁶-9 = (9)₃₉₅1_<396> = 107 × 41953 × 2073251 × 3109747 × 13549519 × 54410288483081773549_<20> × 4956133022658714127085971_<25> × 170947076955579065366679559020455279601325092541107320602777_<60> × 628549720461649540602505044227176831559394137125927190012807677679511205356326919345974981953850728143083406586903933619438341_<126> × 88008998979457790402824658115175615909999110544344527578514436111912717574548833639840144682338469377023785085552214836504669713133940860249_<140>

10³⁹⁷-9 = (9)₃₉₆1_<397> = 1321 × 33427 × 114599 × 6751081 × 1034050608649844153976898571107_<31> × 283076514651796425692931973027954380835730408035889450905191948563118639126417279104987309164122502274964266393400936877965318765995006647101407768922727485965887491845870112054369293376048958891003494158137884815258357706829846075749957117311360334658073850367713567629534639216816424384904692239260172122891724415519724135516525814378138727745481_<348> (Eric Jeancolas / Dario Alpern's calculator for P31 x P348 / January 26, 2021 2021 年 1 月 26 日)

10³⁹⁸-9 = (9)₃₉₇1_<398> = 7 × 13 × 4533299 × 259556761 × 216878171849094139_<18> × 111011352372742720485057131_<27> × 505135145839533539009957298516389_<33> × 16093036459190114862200718359175889466551_<41> × 152597703392299382887389016129264788431503444214442637_<54> × 6511242962635549974788094857532291172489982863709487810260410919_<64> × 6629399904164892073769715273555031277280878298877752355875612563_<64> × 724430892695841602220008780254282449815290128891715782166558993784367540920500492781_<84>

10³⁹⁹-9 = (9)₃₉₈1_<399> = 82273902300743009_<17> × 99409017990101076747555347_<26> × [122267806142070307636291636375825500272113049382083093497007345256821242504208622486556717545070129501245784063769469309080092321652063252272767052467780249764507116330267382796507004917137964312117926885900845561433163600142149064677538296055351506866002882921405455170075788610420284096705895848872182793467338540238013590653275367351608277117271637206317_<357>] Free to factor

10⁴⁰⁰-9 = (9)₃₉₉1_<400> = 709 × 9851 × 534746072974693544711_<21> × 16892897616604738393032473779_<29> × 142382085188774470405910710620318311201708781764203691159141491_<63> × 41575789136886395098758671741723670103749259409601292912421292205993178486578323921284022171938244838107449227_<110> × 26774775732017631627514624545783732791434385215877533890041040259902843412544963322536165460075231707657753257242364780631714040810943945024002334970573964625100669885838253_<173>

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4. Related links 関連リンク

A056696 - OEIS (The OEIS Foundation Inc.)
A093177 - OEIS (The OEIS Foundation Inc.)
A095714 - OEIS (The OEIS Foundation Inc.)