Factorization of 344...443

Table of contents 目次

About 344...443 344...443 について
Prime numbers of the form 344...443 344...443 の形の素数
Factor table of 344...443 344...443 の素因数分解表
Related links 関連リンク

1. About 344...443 344...443 について

1.1. Classification 分類

Plateau-and-depression of the form ABB...BBA ABB...BBA の形のプラトウアンドデプレッション (Plateau-and-depression)

1.2. Sequence 数列

34w3 = { 33, 343, 3443, 34443, 344443, 3444443, 34444443, 344444443, 3444444443, 34444444443, … }

2. Prime numbers of the form 344...443 344...443 の形の素数

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

31×10⁶-139 = 3444443 is prime. は素数です。 (Jean Claude Rosa / October 14, 2002 2002 年 10 月 14 日)
31×10¹²-139 = 3(4)₁₁3_<13> is prime. は素数です。 (Jean Claude Rosa / October 14, 2002 2002 年 10 月 14 日)
31×10⁴⁹²-139 = 3(4)₄₉₁3_<493> is prime. は素数です。 (Patrick De Geest / November 26, 2002 2002 年 11 月 26 日)
31×10⁵⁵⁶⁸-139 = 3(4)₅₅₆₇3_<5569> is prime. は素数です。 (discovered by:発見: Patrick De Geest / November 26, 2002 2002 年 11 月 26 日) (certified by:証明: Maksym Voznyy / PRIMO 4.2.1 - LX64 / May 16, 2016 2016 年 5 月 16 日) [certificate証明]
31×10²⁴⁷⁵⁶-139 = 3(4)₂₄₇₅₅3_<24757> is PRP. はおそらく素数です。 (Patrick De Geest / April 17, 2005 2005 年 4 月 17 日)

2.3. Range of search 捜索範囲

n≤50000 / Completed 終了
n≤84795 / Completed 終了 / Ray Chandler / January 3, 2011 2011 年 1 月 3 日
n≤100000 / Completed 終了 / Ray Chandler / March 28, 2011 2011 年 3 月 28 日
n≤200000 / Completed 終了 / Bob Price / August 5, 2018 2018 年 8 月 5 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。

31×10^2k+1-139 = 11×(31×10¹-139×11+31×10×10²-19×11×k-1Σm=010^2m)
31×10^3k+1-139 = 3×(31×10¹-139×3+31×10×10³-19×3×k-1Σm=010^3m)
31×10^6k+2-139 = 7×(31×10²-139×7+31×10²×10⁶-19×7×k-1Σm=010^6m)
31×10^16k+9-139 = 17×(31×10⁹-139×17+31×10⁹×10¹⁶-19×17×k-1Σm=010^16m)
31×10^18k+10-139 = 19×(31×10¹⁰-139×19+31×10¹⁰×10¹⁸-19×19×k-1Σm=010^18m)
31×10^21k+4-139 = 43×(31×10⁴-139×43+31×10⁴×10²¹-19×43×k-1Σm=010^21m)
31×10^22k+10-139 = 23×(31×10¹⁰-139×23+31×10¹⁰×10²²-19×23×k-1Σm=010^22m)
31×10^28k+19-139 = 29×(31×10¹⁹-139×29+31×10¹⁹×10²⁸-19×29×k-1Σm=010^28m)
31×10^30k+7-139 = 241×(31×10⁷-139×241+31×10⁷×10³⁰-19×241×k-1Σm=010^30m)
31×10^33k+23-139 = 67×(31×10²³-139×67+31×10²³×10³³-19×67×k-1Σm=010^33m)

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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 5.87%. 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 5.87% です。

3. Factor table of 344...443 344...443 の素因数分解表

3.2. Range of factorization 分解範囲

n≤100 / Completed 終了 / February 8, 2003 2003 年 2 月 8 日
n≤150 / Completed 終了 / December 18, 2004 2004 年 12 月 18 日
n≤200 / Completed 終了 / September 7, 2021 2021 年 9 月 7 日
n≤300 / Remaining 45 残り 45

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

n=206, 208, 214, 215, 227, 230, 235, 236, 238, 239, 240, 241, 242, 248, 253, 255, 256, 257, 258, 259, 262, 264, 266, 268, 270, 271, 272, 273, 275, 277, 278, 279, 280, 282, 283, 284, 285, 287, 288, 290, 291, 292, 293, 296, 298 (45/300)

3.4. Factor table 素因数分解表

31×10¹-139 = 33 = 3 × 11

31×10²-139 = 343 = 7³

31×10³-139 = 3443 = 11 × 313

31×10⁴-139 = 34443 = 3² × 43 × 89

31×10⁵-139 = 344443 = 11 × 173 × 181

31×10⁶-139 = 3444443 = definitely prime number 素数

31×10⁷-139 = 34444443 = 3 × 11 × 61 × 71 × 241

31×10⁸-139 = 344444443 = 7 × 49206349

31×10⁹-139 = 3444444443_<10> = 11² × 17 × 163 × 10273

31×10¹⁰-139 = 34444444443_<11> = 3 × 19 × 23 × 709 × 37057

31×10¹¹-139 = 344444444443_<12> = 11 × 359 × 87223207

31×10¹²-139 = 3444444444443_<13> = definitely prime number 素数

31×10¹³-139 = 34444444444443_<14> = 3³ × 11 × 84521 × 1372139

31×10¹⁴-139 = 344444444444443_<15> = 7 × 509 × 96672591761_<11>

31×10¹⁵-139 = 3444444444444443_<16> = 11 × 626663 × 499680551

31×10¹⁶-139 = 34444444444444443_<17> = 3 × 59 × 4290437 × 45357007

31×10¹⁷-139 = 344444444444444443_<18> = 11 × 4490183 × 6973687111_<10>

31×10¹⁸-139 = 3444444444444444443_<19> = 4842787 × 711252517289_<12>

31×10¹⁹-139 = 34444444444444444443_<20> = 3 × 11 × 29 × 1061 × 33922813343659_<14>

31×10²⁰-139 = 344444444444444444443_<21> = 7 × 49206349206349206349_<20>

31×10²¹-139 = 3444444444444444444443_<22> = 11 × 761 × 3343 × 6263 × 19652737537_<11>

31×10²²-139 = 34444444444444444444443_<23> = 3² × 2767 × 1383144377964279181_<19>

31×10²³-139 = 344444444444444444444443_<24> = 11 × 67 × 103 × 388937 × 11666355650149_<14>

31×10²⁴-139 = 3444444444444444444444443_<25> = 557 × 4074132857_<10> × 1517849815007_<13>

31×10²⁵-139 = 34444444444444444444444443_<26> = 3 × 11 × 17 × 43 × 223 × 6402992667891786367_<19>

31×10²⁶-139 = 344444444444444444444444443_<27> = 7 × 199 × 2639776969_<10> × 93670067345779_<14>

31×10²⁷-139 = 3444444444444444444444444443_<28> = 11 × 3823 × 944551 × 1941421 × 44666000461_<11>

31×10²⁸-139 = 34444444444444444444444444443_<29> = 3 × 19² × 113 × 1249 × 1465181 × 153800790511493_<15>

31×10²⁹-139 = 344444444444444444444444444443_<30> = 11 × 883 × 1871 × 2438417 × 61999193 × 125371261

31×10³⁰-139 = 3444444444444444444444444444443_<31> = 16127 × 18169 × 46219 × 254339626233731719_<18>

31×10³¹-139 = 34444444444444444444444444444443_<32> = 3² × 11² × 1231 × 2334426365771_<13> × 11006597170687_<14>

31×10³²-139 = 344444444444444444444444444444443_<33> = 7 × 23 × 127 × 8731 × 1112581 × 4370203 × 396818900393_<12>

31×10³³-139 = 3444444444444444444444444444444443_<34> = 11 × 261251 × 2698021 × 11866691 × 37436356839733_<14>

31×10³⁴-139 = 34444444444444444444444444444444443_<35> = 3 × 3915907 × 6116057 × 1269925919_<10> × 377498864101_<12>

31×10³⁵-139 = 344444444444444444444444444444444443_<36> = 11 × 3499 × 348606691 × 25671239486157318579857_<23>

31×10³⁶-139 = 3444444444444444444444444444444444443_<37> = 157 × 127219 × 3086127439_<10> × 55879652741251922339_<20>

31×10³⁷-139 = 34444444444444444444444444444444444443_<38> = 3 × 11 × 241 × 13857577 × 115185283 × 2713338066977647441_<19>

31×10³⁸-139 = 344444444444444444444444444444444444443_<39> = 7 × 347 × 90197 × 1572170259991880288330974451611_<31>

31×10³⁹-139 = 3444444444444444444444444444444444444443_<40> = 11 × 59443123 × 5267746668211108815953887771531_<31>

31×10⁴⁰-139 = 34444444444444444444444444444444444444443_<41> = 3⁵ × 1087 × 81657289169_<11> × 1596939298594522424190167_<25>

31×10⁴¹-139 = 344444444444444444444444444444444444444443_<42> = 11 × 17 × 109 × 1330541 × 399991549 × 31752067019280156189869_<23>

31×10⁴²-139 = 3444444444444444444444444444444444444444443_<43> = 71 × 367 × 143489 × 641848841 × 1435302367362138758102251_<25>

31×10⁴³-139 = 34444444444444444444444444444444444444444443_<44> = 3 × 11 × 911 × 1810397 × 501081567859_<12> × 1263003687761343840707_<22>

31×10⁴⁴-139 = 344444444444444444444444444444444444444444443_<45> = 7² × 47 × 708091 × 3930674636099_<13> × 53736462804906702510709_<23>

31×10⁴⁵-139 = 3444444444444444444444444444444444444444444443_<46> = 11 × 2090866651_<10> × 1655519237777_<13> × 90461947194590793824819_<23>

31×10⁴⁶-139 = 34444444444444444444444444444444444444444444443_<47> = 3 × 19 × 43 × 12322069703141927_<17> × 1140491917845808846121797759_<28>

31×10⁴⁷-139 = 344444444444444444444444444444444444444444444443_<48> = 11 × 29 × 82877759 × 331125880861_<12> × 39345708982867250489594903_<26>

31×10⁴⁸-139 = 3444444444444444444444444444444444444444444444443_<49> = 89 × 173 × 1329734963819243_<16> × 168235632956283130092676423933_<30>

31×10⁴⁹-139 = 34444444444444444444444444444444444444444444444443_<50> = 3² × 11 × 91731970147_<11> × 968626110907183_<15> × 3915679133621561414957_<22>

31×10⁵⁰-139 = 344444444444444444444444444444444444444444444444443_<51> = 7 × 4673 × 15923 × 661302962492190627984678259715900403223231_<42>

31×10⁵¹-139 = 3(4)₅₀3_<52> = 11 × 313131313131313131313131313131313131313131313131313_<51>

31×10⁵²-139 = 3(4)₅₁3_<53> = 3 × 812081 × 3098119 × 8687665293597547_<16> × 525287908863274500313757_<24>

31×10⁵³-139 = 3(4)₅₂3_<54> = 11² × 1217 × 140449 × 3714311 × 20328817 × 220563788925804042578572105573_<30>

31×10⁵⁴-139 = 3(4)₅₃3_<55> = 23 × 86689 × 1727536989771253483564408123815139498890559027069_<49>

31×10⁵⁵-139 = 3(4)₅₄3_<56> = 3 × 11 × 387047 × 3411263 × 4595544359448492301_<19> × 172024130991148169016511_<24>

31×10⁵⁶-139 = 3(4)₅₅3_<57> = 7 × 67 × 929 × 1399 × 5912700742030829338939_<22> × 95571194584444849451470763_<26>

31×10⁵⁷-139 = 3(4)₅₆3_<58> = 11 × 17 × 97 × 103 × 167 × 25633 × 849428989 × 125606337910531321_<18> × 4036584777154015981_<19>

31×10⁵⁸-139 = 3(4)₅₇3_<59> = 3² × 179 × 27897953100112103_<17> × 14652306524712781607_<20> × 52305253185877925953_<20>

31×10⁵⁹-139 = 3(4)₅₈3_<60> = 11 × 1031809 × 3593707179307757_<16> × 8444705337964547396013384439399305301_<37>

31×10⁶⁰-139 = 3(4)₅₉3_<61> = 362995231303493_<15> × 9488952326110900989043761763846936202446269151_<46>

31×10⁶¹-139 = 3(4)₆₀3_<62> = 3 × 11 × 3067 × 16176904143386501_<17> × 21037593368150208231317569006653336547213_<41>

31×10⁶²-139 = 3(4)₆₁3_<63> = 7 × 255133 × 2695664484042062681_<19> × 4400374886208252559_<19> × 16259193307036675607_<20>

31×10⁶³-139 = 3(4)₆₂3_<64> = 11 × 106373 × 120777262940599_<15> × 24373051614223126624075055649479498835832619_<44>

31×10⁶⁴-139 = 3(4)₆₃3_<65> = 3 × 19 × 227 × 3572279429_<10> × 8330547959_<10> × 4699085417557_<13> × 19036457798366791103731888831_<29>

31×10⁶⁵-139 = 3(4)₆₄3_<66> = 11 × 1049857 × 2749076501_<10> × 66158501469179803_<17> × 163992454412461625239092009001303_<33>

31×10⁶⁶-139 = 3(4)₆₅3_<67> = 796942241178773_<15> × 4322075385726446970341945195267299021298738758295791_<52>

31×10⁶⁷-139 = 3(4)₆₆3_<68> = 3³ × 11 × 43 × 61 × 241 × 6521 × 158492459 × 11961411779_<11> × 14840282104908508653440450343626951893_<38>

31×10⁶⁸-139 = 3(4)₆₇3_<69> = 7 × 309810852362783_<15> × 13957957313889015826207_<23> × 11378962127222550562414286598029_<32>

31×10⁶⁹-139 = 3(4)₆₈3_<70> = 11 × 24371773 × 336796087 × 113471965643989_<15> × 336189201475112608008264908609923775767_<39>

31×10⁷⁰-139 = 3(4)₆₉3_<71> = 3 × 2011 × 8363 × 33344733065457369608233_<23> × 20473708574169942082061252057957875762649_<41>

31×10⁷¹-139 = 3(4)₇₀3_<72> = 11 × 5576107 × 5622515359263055427_<19> × 451547643709716842573_<21> × 2211878002605078734664629_<25>

31×10⁷²-139 = 3(4)₇₁3_<73> = 1231 × 3947 × 99487 × 233404109 × 30529463514870769205768767539972725359637741733368453_<53>

31×10⁷³-139 = 3(4)₇₂3_<74> = 3 × 11 × 17 × 193 × 3298570867831_<13> × 12271059585959_<14> × 10927842227050313_<17> × 719211650516701563955694483_<27>

31×10⁷⁴-139 = 3(4)₇₃3_<75> = 7 × 59 × 127 × 7043279375395714269934877923151_<31> × 932374734579268660771094125806939731143_<39>

31×10⁷⁵-139 = 3(4)₇₄3_<76> = 11² × 29 × 1118907564373_<13> × 61712918635063_<14> × 14215610645126046168213501638691629740485983173_<47>

31×10⁷⁶-139 = 3(4)₇₅3_<77> = 3² × 23 × 339827 × 359605891 × 626048327 × 2174985171644032015222221266706918092005783969604891_<52>

31×10⁷⁷-139 = 3(4)₇₆3_<78> = 11 × 71 × 130409 × 3138493 × 146454130432157_<15> × 219466976218485924263_<21> × 33524986905380126077954531409_<29>

31×10⁷⁸-139 = 3(4)₇₇3_<79> = 41241659 × 83518571463006481976014700195364217633544868901720089496022564088521377_<71>

31×10⁷⁹-139 = 3(4)₇₈3_<80> = 3 × 11 × 431 × 24847 × 97466195554944172119335161235115638197067308892934622632391539588503803_<71>

31×10⁸⁰-139 = 3(4)₇₉3_<81> = 7 × 1669 × 3520909810800656779951021528136959891_<37> × 8373555575267189212214610065322969362131_<40>

31×10⁸¹-139 = 3(4)₈₀3_<82> = 11 × 149 × 2903 × 7669 × 16319 × 725071 × 217345099 × 244804233664958642078323_<24> × 149937962030077482218168665967_<30>

31×10⁸²-139 = 3(4)₈₁3_<83> = 3 × 19 × 1375949 × 4888271 × 259930871 × 345643866801385803492862478605008381151801394546859603315511_<60>

31×10⁸³-139 = 3(4)₈₂3_<84> = 11 × 31313131313131313131313131313131313131313131313131313131313131313131313131313131313_<83>

31×10⁸⁴-139 = 3(4)₈₃3_<85> = 373 × 9546767670157637_<16> × 3573737299983605703594125737_<28> × 270664547268203737277021575372952625739_<39>

31×10⁸⁵-139 = 3(4)₈₄3_<86> = 3² × 11 × 264391 × 1750549 × 1453744199_<10> × 21034414156874596172670707_<26> × 24583552127934884956816040137818241111_<38>

31×10⁸⁶-139 = 3(4)₈₅3_<87> = 7² × 6785791 × 16726978494606085398785373011_<29> × 61930577017781402585136327634285655633535087994007_<50> (Tetsuya Kobayashi / for P29 x P50 / February 8, 2003 2003 年 2 月 8 日)

31×10⁸⁷-139 = 3(4)₈₆3_<88> = 11 × 23003 × 868751672521334558167621301938829_<33> × 15669183483577528152585594437755437815683496260399_<50> (Tetsuya Kobayashi / for P33 x P50 / February 8, 2003 2003 年 2 月 8 日)

31×10⁸⁸-139 = 3(4)₈₇3_<89> = 3 × 43 × 197 × 233 × 6839113 × 13584700271_<11> × 4952436402989_<13> × 34389054724121_<14> × 367636261639027711584791490997266608141_<39>

31×10⁸⁹-139 = 3(4)₈₈3_<90> = 11 × 17 × 67 × 88411 × 134659829 × 1356801097_<10> × 8367558908987197_<16> × 11213421171620619703_<20> × 18138664781082371145640001759_<29>

31×10⁹⁰-139 = 3(4)₈₉3_<91> = 47 × 163 × 8662187 × 137944931847626129655859_<24> × 376270714439426125984649055286474876552348611366194928311_<57>

31×10⁹¹-139 = 3(4)₉₀3_<92> = 3 × 11 × 103 × 173 × 463 × 46531372933649_<14> × 2718911420009962123148860469798696955153601875875074055236528814160607_<70>

31×10⁹²-139 = 3(4)₉₁3_<93> = 7 × 89 × 683 × 809488035375149396239431937854297898386272545221004595541914376533620779923443321867327_<87>

31×10⁹³-139 = 3(4)₉₂3_<94> = 11 × 30977 × 87826107699968565929369_<23> × 115096868436588026127635971433201483422498009373688736016473920601_<66>

31×10⁹⁴-139 = 3(4)₉₃3_<95> = 3³ × 268617934346447779_<18> × 28385331800062482909537880487959_<32> × 167311749339833133779384602809077800553479469_<45>

31×10⁹⁵-139 = 3(4)₉₄3_<96> = 11 × 331 × 1759 × 1789808101_<10> × 142244463552767159_<18> × 211247133624527011687045883730182146591837116384666099184901983_<63>

31×10⁹⁶-139 = 3(4)₉₅3_<97> = 2501137 × 1444975681_<10> × 308082448248199907_<18> × 86156794956476870387_<20> × 35905805491677091649841724033313398481991491_<44>

31×10⁹⁷-139 = 3(4)₉₆3_<98> = 3 × 11² × 241 × 393727289238417114690219179091302818198329326205599310088182211909107420235296508400997273121_<93>

31×10⁹⁸-139 = 3(4)₉₇3_<99> = 7 × 23 × 4639 × 9859 × 46777398946017794403917575087522796844094617891903387126513255923440524468671396113724663_<89>

31×10⁹⁹-139 = 3(4)₉₈3_<100> = 11 × 199889 × 1566525987579672374733633732378035466249424996529639606547290311779603336417368205010346398817_<94>

31×10¹⁰⁰-139 = 3(4)₉₉3_<101> = 3 × 19 × 15739 × 7006638413012528531_<19> × 1290233974393066638488149859_<28> × 4247066039612785716052861357143996176896408854929_<49>

31×10¹⁰¹-139 = 3(4)₁₀₀3_<102> = 11 × 661 × 22861 × 72983231056423339783_<20> × 2430701385262110478289_<22> × 3207921509408573274753551_<25> × 3641257463968075085721678569_<28>

31×10¹⁰²-139 = 3(4)₁₀₁3_<103> = 523 × 4687829 × 1576835802800311323559_<22> × 2579868045395955007075976563_<28> × 345351835539184065427093303170866061572206537_<45>

31×10¹⁰³-139 = 3(4)₁₀₂3_<104> = 3² × 11 × 29 × 40627997 × 816836697569_<12> × 32975834533983955863934800609547723_<35> × 10963003281995107445578950940672426576211059747_<47>

31×10¹⁰⁴-139 = 3(4)₁₀₃3_<105> = 7 × 19220459 × 6922413149_<10> × 334326881601247927549_<21> × 1361073170245011523668293518367_<31> × 812731520136154999514915040348124433_<36>

31×10¹⁰⁵-139 = 3(4)₁₀₄3_<106> = 11 × 17 × 564089 × 6923402183_<10> × 2646734451131_<13> × 24241456556765227300611440628991_<32> × 73509133744206605895824786349153646920354307_<44>

31×10¹⁰⁶-139 = 3(4)₁₀₅3_<107> = 3 × 2300869 × 964636670197527058151862329611043698697741_<42> × 5172997511254663651545220303522113609681002841306249121289_<58> (Robert Backstrom / NFSX v1.8 for P42 x P58 / June 1, 2003 2003 年 6 月 1 日)

31×10¹⁰⁷-139 = 3(4)₁₀₆3_<108> = 11 × 307 × 2246995939484330611441_<22> × 45392681227758164993053406881077829880510396115038476996741884137452558911877415099_<83>

31×10¹⁰⁸-139 = 3(4)₁₀₇3_<109> = 96401 × 624778670150369923983673_<24> × 57188861525446446477045968371631510624054752383115895547406590977597982173985091_<80>

31×10¹⁰⁹-139 = 3(4)₁₀₈3_<110> = 3 × 11 × 43 × 719 × 16577109693496121880029_<23> × 2036568805309904516708121967884589983542780559836473750874182121578999263227342347_<82>

31×10¹¹⁰-139 = 3(4)₁₀₉3_<111> = 7 × 15962047 × 45046316361857_<14> × 63291034780693903_<17> × 2354995589149589069151649_<25> × 459135615114639466462253701337805876856695459773_<48>

31×10¹¹¹-139 = 3(4)₁₁₀3_<112> = 11 × 269 × 389 × 11132717974843_<14> × 37943158003716373_<17> × 358847787806504088004597_<24> × 19741477949139235995772538110057967712066204157085371_<53>

31×10¹¹²-139 = 3(4)₁₁₁3_<113> = 3² × 71 × 407721401 × 132207112000831924804607976430494863779498132637574008319123279242847235971446545684756546725960135437_<102>

31×10¹¹³-139 = 3(4)₁₁₂3_<114> = 11 × 1231 × 148172329 × 160049819 × 5636764157_<10> × 15462002976472849216455193_<26> × 12306952798160426110096697026494137029413125861044228628273_<59>

31×10¹¹⁴-139 = 3(4)₁₁₃3_<115> = 157 × 1789 × 221184107 × 3149052399169958756002243_<25> × 17606595484040513064317245828565072991330273658300299379966791513599585613091_<77>

31×10¹¹⁵-139 = 3(4)₁₁₄3_<116> = 3 × 11 × 1043771043771043771043771043771043771043771043771043771043771043771043771043771043771043771043771043771043771043771_<115>

31×10¹¹⁶-139 = 3(4)₁₁₅3_<117> = 7 × 127 × 46658444197_<11> × 30391593975779_<14> × 273233340365726519233543919172436283024875098737136150248655160991192344850780215789053149_<90>

31×10¹¹⁷-139 = 3(4)₁₁₆3_<118> = 11 × 25097 × 129127 × 28295629213_<11> × 3414823579072093319171362973006815564467247042149611653920484666191710096766820394292409601963579_<97>

31×10¹¹⁸-139 = 3(4)₁₁₇3_<119> = 3 × 19 × 7054983172517127307685182999803800287_<37> × 85654137543426451856086726824133890456351778919799092579364045454626900760807277_<80> (Robert Backstrom / NFSX v1.8 for P37 x P80 / June 15, 2003 2003 年 6 月 15 日)

31×10¹¹⁹-139 = 3(4)₁₁₈3_<120> = 11³ × 1487 × 394412652266204160915778697482437222954118798845049_<51> × 441244517495863180565835839714057711025814830142432588620656431_<63> (Robert Backstrom / NFSX v1.8 for P51 x P63 / June 23, 2003 2003 年 6 月 23 日)

31×10¹²⁰-139 = 3(4)₁₁₉3_<121> = 23 × 30241 × 722363 × 909599 × 10272695921_<11> × 53969811211_<11> × 2938277435800727_<16> × 20252294921689361_<17> × 228447998851958222502189590734416778488851248473389_<51>

31×10¹²¹-139 = 3(4)₁₂₀3_<122> = 3⁴ × 11 × 17 × 727 × 1291 × 569262767274859685361320304906396386881463_<42> × 4256171567899634913840514294790649147301813256087551699320277085651459_<70> (Robert Backstrom / NFSX v1.8 for P42 x P70 / June 28, 2003 2003 年 6 月 28 日)

31×10¹²²-139 = 3(4)₁₂₁3_<123> = 7 × 67 × 89659 × 626543137049333397672898220581463664792469_<42> × 13073789066438225099701223440328577745274145161331086710607797528209607657_<74> (Robert Backstrom / NFSX v1.8 for P42 x P74 / July 3, 2003 2003 年 7 月 3 日)

31×10¹²³-139 = 3(4)₁₂₂3_<124> = 11 × 8281831 × 41753061137_<11> × 179954627761_<12> × 5551782988361773976466302608047010687759_<40> × 906392519203600814960177170516279498025220076004081321_<54> (Robert Backstrom / PPSIQS Ver 1.1 for P40 x P54 / June 23, 2003 2003 年 6 月 23 日)

31×10¹²⁴-139 = 3(4)₁₂₃3_<125> = 3 × 178054804185031274361753822174321007524006673441525728937_<57> × 64482851412142394710187977606058947360501221629798885719493597826913_<68> (Robert Backstrom / NFSX v1.8 for P57 x P68 / July 5, 2003 2003 年 7 月 5 日)

31×10¹²⁵-139 = 3(4)₁₂₄3_<126> = 11 × 103 × 199 × 189671 × 1019281 × 7902078422104970437324678618732168161564970858758486536301584812910534360330409126880952915677458595055950279_<109>

31×10¹²⁶-139 = 3(4)₁₂₅3_<127> = 4657 × 13121208010849_<14> × 420972487978529_<15> × 3901704695939076536777259439849_<31> × 62754679973116803607730265222503_<32> × 546871003314110881083448805044277_<33> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000 / May 3, 2003 2003 年 5 月 3 日)

31×10¹²⁷-139 = 3(4)₁₂₆3_<128> = 3 × 11 × 61 × 131 × 241 × 419 × 2812291 × 63128129 × 3956387089483375229_<19> × 1841582152790952294383724446063949465401536211515635580802392793018981429754063712969_<85>

31×10¹²⁸-139 = 3(4)₁₂₇3_<129> = 7² × 3832031044878874142663124175268260925989_<40> × 1834400185103949207810980117174310654404588149207162977664595099770936863546161235012463_<88> (Robert Backstrom / GMP-ECM 5.0c for P40 x P88 / July 18, 2003 2003 年 7 月 18 日)

31×10¹²⁹-139 = 3(4)₁₂₈3_<130> = 11 × 3733 × 246683587 × 1974411479_<10> × 16850220951123705763_<20> × 313663921212228127643_<21> × 38074205473357346874167_<23> × 855834068207410083430139188186559019073289519_<45>

31×10¹³⁰-139 = 3(4)₁₂₉3_<131> = 3² × 43 × 429733 × 36462241 × 6363590314031_<13> × 892614515068421446210388815970285670295982339984095368855221872301157645230702257065411920116676938523_<102>

31×10¹³¹-139 = 3(4)₁₃₀3_<132> = 11 × 29 × 84319229 × 264594199 × 3376275517_<10> × 470679287371_<12> × 41082185684035663_<17> × 169444314375140621_<18> × 29398554024854991566199833_<26> × 148816839613131157733272569640739_<33>

31×10¹³²-139 = 3(4)₁₃₁3_<133> = 59 × 502096166977446345185316407859267338167009_<42> × 116273371820502449564387718908564384522129279648520022450074702835287110256140560014908353_<90> (Robert Backstrom / NFSX v1.8 for P42 x P90 / August 24, 2003 2003 年 8 月 24 日)

31×10¹³³-139 = 3(4)₁₃₂3_<134> = 3 × 11 × 100411 × 1504898117_<10> × 5108669471_<10> × 1352100734037258464567736130422980238458319314281879032386483596561560184963308807909974506344487254325635923_<109>

31×10¹³⁴-139 = 3(4)₁₃₃3_<135> = 7 × 173 × 5519 × 11192549126599_<14> × 3773385950267511675056662231332961_<34> × 1220265716348462085901271870617900308452328191254813081316147938624250435586207193_<82> (Robert Backstrom / NFSX v1.8 for P34 x P82 / September 3, 2003 2003 年 9 月 3 日)

31×10¹³⁵-139 = 3(4)₁₃₄3_<136> = 11 × 4453986346699_<13> × 1910795547804756822152177415392557_<34> × 36792847224734583248450825665660987790884303597177318785867099006468928316760609627317791_<89> (Robert Backstrom / GMP-ECM 5.0c for P34 x P89 / July 20, 2003 2003 年 7 月 20 日)

31×10¹³⁶-139 = 3(4)₁₃₅3_<137> = 3 × 19 × 47 × 89 × 13933 × 52902164697763561_<17> × 66195853725583504504979503255444850339_<38> × 2960789937928664490028577204932045400326512012115437977247974954558496379_<73> (Robert Backstrom / GMP-ECM 5.0c for P38 x P73 / July 20, 2003 2003 年 7 月 20 日)

31×10¹³⁷-139 = 3(4)₁₃₆3_<138> = 11 × 17 × 132449466883136067359_<21> × 227322600861420677286624563_<27> × 679271168696046458796356171_<27> × 90061995507173003986213286907608052925898324025157876334858927_<62> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000 for P27(2273...) x P27(6792...) x P62 / May 11, 2003 2003 年 5 月 11 日)

31×10¹³⁸-139 = 3(4)₁₃₇3_<139> = 401 × 12893 × 12796260241_<11> × 32929379212201443533_<20> × 554633079933542031591579522742284342348517448827_<48> × 2850679897768946559674743117034328399343889356271523721_<55> (Greg Childers / GGNFS for P48 x P55 / December 15, 2004 2004 年 12 月 15 日)

31×10¹³⁹-139 = 3(4)₁₃₈3_<140> = 3² × 11 × 6701 × 21661 × 544650650153_<12> × 2811507313834452114978909949105462027192928332606231_<52> × 1565339792198947156697525257721137106919198765964637815049851256959_<67> (Greg Childers / GGNFS for P52 x P67 / December 15, 2004 2004 年 12 月 15 日)

31×10¹⁴⁰-139 = 3(4)₁₃₉3_<141> = 7 × 113 × 3011 × 13367 × 20532070353909173159195357535367847_<35> × 526944958284200252568238943260279042675812374210284933741129971189143378278263809001620068164607_<96> (Robert Backstrom / GMP-ECM 5.0c for P35 x P96)

31×10¹⁴¹-139 = 3(4)₁₄₀3_<142> = 11² × 968557 × 7556308470689869276494736937_<28> × 3889546349235212136462687588690481424573346693410647832300916222127368414724590649540842212019543679111687_<106>

31×10¹⁴²-139 = 3(4)₁₄₁3_<143> = 3 × 23 × 2137 × 45136121857_<11> × 31397417107259909201261_<23> × 164834231504047040047547568859190499243847067531402877767286408162677166272552740875870951445270276716403_<105>

31×10¹⁴³-139 = 3(4)₁₄₂3_<144> = 11 × 383 × 2927 × 631679 × 1375873163317_<13> × 15516604409473_<14> × 700277276428097845907_<21> × 734814964577431124119_<21> × 3195328607920708652593_<22> × 1259708100410693886097278730487262101166023_<43>

31×10¹⁴⁴-139 = 3(4)₁₄₃3_<145> = 604931 × 987533 × 2130461 × 28398554076432488158161229667_<29> × 17864297354371257724413698270033359616999_<41> × 5334650485261553297889738488041337358768035019372114433357_<58> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000 / May 11, 2003 2003 年 5 月 11 日) (Robert Backstrom / PPSIQS Ver 1.1 for P41 x P58)

31×10¹⁴⁵-139 = 3(4)₁₄₄3_<146> = 3 × 11 × 487 × 6393603290665443480881234946610729026930442627_<46> × 335220521651667107218263786787058988531447285220162861949338018864065764032755852659552020024879_<96> (Greg Childers / GGNFS for P46 x P96 / December 15, 2004 2004 年 12 月 15 日)

31×10¹⁴⁶-139 = 3(4)₁₄₅3_<147> = 7 × 937 × 457661 × 8520058393499_<13> × 3770881544003832078728605331120292599_<37> × 3571512603403916807373634076401328857903316565187700937882794955828933236151426463447757_<88> (Robert Backstrom / GMP-ECM 5.0c for P37 x P88)

31×10¹⁴⁷-139 = 3(4)₁₄₆3_<148> = 11 × 71 × 479 × 158838667231_<12> × 3725073438097583761450446773397119494749844316356871593_<55> × 15561145506225560175962989989424633757984940983855470418315679653575452991279_<77> (Greg Childers / GGNFS for P55 x P77 / December 15, 2004 2004 年 12 月 15 日)

31×10¹⁴⁸-139 = 3(4)₁₄₇3_<149> = 3³ × 123236017 × 65440527300359293_<17> × 30623844296527274141971_<23> × 1101220770319633308633425794539686556047341_<43> × 4690691539527003313993999664305634830912345317103631622499_<58> (Robert Backstrom / PPSIQS Ver 1.1 for P43 x P58 / June 10, 2003 2003 年 6 月 10 日)

31×10¹⁴⁹-139 = 3(4)₁₄₈3_<150> = 11 × 109 × 460950251520524706530553225277879860588205486095525504899_<57> × 623226548022901662551202045361712347011223958350429685982315610317292019855843356086236743_<90> (Greg Childers / GGNFS for P57 x P90)

31×10¹⁵⁰-139 = 3(4)₁₄₉3_<151> = 3383117 × 225290048969_<12> × 4519185387934246973238380705579217270099023992096151974955568661858894836048987678634612089520199235016834849891501152738620690336591_<133>

31×10¹⁵¹-139 = 3(4)₁₅₀3_<152> = 3 × 11 × 43 × 962377574802096757_<18> × 114889034215801995089166409_<27> × 219539522708091039127308541254112152446387065522375052698889102712863125337664822888094218635884951220069_<105>

31×10¹⁵²-139 = 3(4)₁₅₁3_<153> = 7 × 4536700761391_<13> × 1098682796897702323271_<22> × 9872080443987272631072181692626885011259075663436138198483109054128165694514999611765499201279850165643224810050524709_<118>

31×10¹⁵³-139 = 3(4)₁₅₂3_<154> = 11 × 17² × 97 × 7489 × 229777 × 1062521 × 6109265710904675079596138659486334673923371310055078796692603798997962213820795227330807382085853079271658840366533737287998019113897_<133>

31×10¹⁵⁴-139 = 3(4)₁₅₃3_<155> = 3 × 19 × 1231 × 10318115811615833350849_<23> × 26353110139075738702819279411_<29> × 12023093835959132067018090663212227_<35> × 150154296621491793394346450363895517375583748113591057346186864293_<66> (Makoto Kamada / GMP-ECM 6.0.1 B1=11000000, sigma=107343238 for P29 / May 26, 2005 2005 年 5 月 26 日) (Patrick Keller / GGNFS-0.77.1-050714 for P35 x P66 / July 21, 2005 2005 年 7 月 21 日)

31×10¹⁵⁵-139 = 3(4)₁₅₄3_<156> = 11 × 67 × 11369 × 90011 × 456702977917525022602594093180073766574616139018010480557353873772116469791398699813468427216170927928251490731467598392115458715365352649536121_<144>

31×10¹⁵⁶-139 = 3(4)₁₅₅3_<157> = 4253 × 3873379 × 11446246509035109137458172315152085129446188827_<47> × 18267146564210168096334403162624796291792049909993727669100813582789777576039312403346776495047622407_<101> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp for P47 x P101 / 38.38 hours on Cygwin on AMD 64 3200+ / April 12, 2007 2007 年 4 月 12 日)

31×10¹⁵⁷-139 = 3(4)₁₅₆3_<158> = 3² × 11 × 241 × 1459 × 1909949 × 1879085861_<10> × 1209153525713608968645853_<25> × 228014157448607786484874000704677339852912597475755846078128103612731612550143936699028619154613303221498228559_<111>

31×10¹⁵⁸-139 = 3(4)₁₅₇3_<159> = 7 × 127 × 78148787 × 4740691519332947_<16> × 58339351804238222158586791687727596860143_<41> × 17926350607259622695271137524190494788700231091726771361636249626207975716925845807554474581_<92> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.26 for P41 x P92 / October 4, 2007 2007 年 10 月 4 日)

31×10¹⁵⁹-139 = 3(4)₁₅₈3_<160> = 11 × 29 × 103 × 31495525256123412108590573_<26> × 18220801332111452637905105535377_<32> × 182673246922664922215116667618385192896049286094122406240480789269739834481068876099995763335349519_<99> (Philippe Strohl / gmp-ecm 6.1.1 B1=1216102, sigma=3097637686 for P32 x P99 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁶⁰-139 = 3(4)₁₅₉3_<161> = 3 × 37013 × 5823227 × 536946587 × 178469060683253071349611789_<27> × 555886207199953703524371507408173361609370685173925162659192836503969771020936999844864010489955352099187940681217_<114>

31×10¹⁶¹-139 = 3(4)₁₆₀3_<162> = 11 × 71160562589767531_<17> × 35346772348313233757_<20> × 9214711542428400460620693533887_<31> × 1351000839508368862206252121522886281976194919602387289398936256144347787863519361665877324497_<94> (Philippe Strohl / gmp-ecm 6.1.1 B1=1372163, sigma=3405369779 for P31 x P94 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁶²-139 = 3(4)₁₆₁3_<163> = 1361 × 15199 × 92297 × 11800906086371_<14> × 1088024959731953_<16> × 40085055549682212977_<20> × 406155821728778666617_<21> × 713669402195900415800272196306599_<33> × 12092942750827233952078686516998424975399047972737_<50> (Makoto Kamada / msieve 0.86 for P33 x P50 / 57 minutes)

31×10¹⁶³-139 = 3(4)₁₆₂3_<164> = 3 × 11² × 773 × 410351503 × 5811724661_<10> × 19804653991_<11> × 258869575744982479_<18> × 10039769337208161995304005754034474179291239804227106808299741917899454456077409130982078960697238047318837347311_<113>

31×10¹⁶⁴-139 = 3(4)₁₆₃3_<165> = 7 × 23 × 8943269996743_<13> × 507997346163563_<15> × 510461282556317_<15> × 922513468067314379816351901157927666425307327976641794933670438778502330902335262265622402937033761031322878261988585971_<120>

31×10¹⁶⁵-139 = 3(4)₁₆₄3_<166> = 11 × 167881116341_<12> × 1805455694335159_<16> × 7347822245464475165282519977448389173180184038157_<49> × 140598010033950929058795866865500565051420080556908773879274375567266916603580233027144711_<90> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.34 for P49 x P90 / April 15, 2008 2008 年 4 月 15 日)

31×10¹⁶⁶-139 = 3(4)₁₆₅3_<167> = 3² × 11249365279272105191944705856137109893341383_<44> × 4629217185850101516750522211783509052473169342352740507_<55> × 73492174772991205921386920343213336461480210780035033172068546448767_<68> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon for P44 x P55 x P68 / 84.72 hours on Cygwin on AMD 64 3200+ / May 5, 2007 2007 年 5 月 5 日)

31×10¹⁶⁷-139 = 3(4)₁₆₆3_<168> = 11 × 1256138749_<10> × 1385128217219207959_<19> × 17996949988958362373730597153027559157498508941435332379954849714383146364133875423542188296634825537698206813121759767465149420346972227843_<140>

31×10¹⁶⁸-139 = 3(4)₁₆₇3_<169> = 36649913 × 19121035045106931156034589094324433473093786433375865827509070283_<65> × 4915128075224843895655346118121567445584594295484859874268072710814547659240553180841233721217017_<97> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.34 for P65 x P97 / 85.06 hours / May 31, 2008 2008 年 5 月 31 日)

31×10¹⁶⁹-139 = 3(4)₁₆₈3_<170> = 3 × 11 × 17 × 79531 × 522235888582298378420929116637405995083_<39> × 1478267967438312308101056504254553548511855058325922241446036981530842781007936900982261738169354345327696013073609676251331_<124> (Philippe Strohl / gmp-ecm 6.1.1 B1=1460527, sigma=1972075287 for P39 x P124 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁷⁰-139 = 3(4)₁₆₉3_<171> = 7² × 4629920455654758013498867_<25> × 232031625289267285997872846548274872654251_<42> × 6543383771920925262771313657337423017658900689973818172304650431186996923388887223462560916516787337371_<103> (Dmitry Domanov / for P42 x P103 / June 12, 2009 2009 年 6 月 12 日)

31×10¹⁷¹-139 = 3(4)₁₇₀3_<172> = 11 × 163 × 57781837 × 964325129 × 47865335095677678404821156139424014379989626741_<47> × 720282664257465317345032408252220823107802235276252167231709945845280561953158628988483658436987750222707_<105> (Sinkiti Sibata / Msieve 1.40 snfs for P47 x P105 / 71.44 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / February 14, 2010 2010 年 2 月 14 日)

31×10¹⁷²-139 = 3(4)₁₇₁3_<173> = 3 × 19 × 43 × 1307 × 4517543 × 87779737 × 277183913213_<12> × 17154188257103828738287_<23> × 67975286177684273854247408863_<29> × 83890827231189592657923469052464378432132235749844301511046669865860642944288725098492713_<89>

31×10¹⁷³-139 = 3(4)₁₇₂3_<174> = 11 × 5232323 × 425334470450497_<15> × 30163609286024947_<17> × 1485198122562236570113759345825456049566924019_<46> × 314075221263931858058665873952438706871410954511820722673188880452444318226479520618585411_<90> (Dmitry Domanov / Msieve 1.40 snfs for P46 x P90 / May 5, 2011 2011 年 5 月 5 日)

31×10¹⁷⁴-139 = 3(4)₁₇₃3_<175> = 293617 × 1436471 × 7557443 × 527793365692251166832991629_<27> × 130775549186455666311890896219_<30> × 1413255507990492806168595079438433390439397411_<46> × 11077839744989375386501684687854942571016255668118907163_<56> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3688766075) (Philippe Strohl / gmp-ecm 6.1.1 B1=1122780, sigma=1890747274 for P27, msieve for P46 x P56 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁷⁵-139 = 3(4)₁₇₄3_<176> = 3³ × 11 × 1758714678208981_<16> × 218277674307795096958217_<24> × 33833568313095695481541775239_<29> × 1338118630701493155755390329944470852310677155961119_<52> × 6672915229960602211087964240079771261594177163348746167_<55> (Anton Korobeynikov / GGNFS-0.77.1-20050918-athlon gnfs for P52 x P55 / 23.25 hours / September 27, 2005 2005 年 9 月 27 日)

31×10¹⁷⁶-139 = 3(4)₁₇₅3_<177> = 7 × 2357 × 506986495919_<12> × 701988203528929_<15> × 58659094694282546269913025696670541465687432273307813243156090186146211302717867931562119980799960313049983604663223814321515069921719700931810807_<146>

31×10¹⁷⁷-139 = 3(4)₁₇₆3_<178> = 11 × 173 × 227 × 223461044467_<12> × 65219477847426587077518315943625357_<35> × 719038817915347421940630071846579687_<36> × 760892074198757200697890675804603439092610757105817352711491913696740817887672336986109351_<90> (Philippe Strohl / gmp-ecm 6.1.1 B1=1142784, sigma=1840819561 for P35, B1=1221210, sigma=1573953028 for P36 x P90 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁷⁸-139 = 3(4)₁₇₇3_<179> = 3 × 1353967 × 9537440536427082503420258687477304493_<37> × 889115142825712264336270323676477942025280940056505408267252597985808653661232222615018940714817662000729558352000823164963884428325251_<135> (Andreas Tete / GMP-ECM B1=1000000, sigma=2445707087 for P37 x P135 / July 29, 2009 2009 年 7 月 29 日)

31×10¹⁷⁹-139 = 3(4)₁₇₈3_<180> = 11 × 30083976209855206209867424244392759793889864427042762736211518417297_<68> × 1040857468264898047169776135475785954744385602127018579283000666366877231179930173843719367433591547037710900129_<112> (matsui / GGNFS-0.77.1-20060513-prescott snfs for P68 x P112 / May 17, 2008 2008 年 5 月 17 日)

31×10¹⁸⁰-139 = 3(4)₁₇₉3_<181> = 89 × 3075825101_<10> × 51012640070695195853099_<23> × 7981830366046180202577413913544231025261135333137_<49> × 30902046877752294312646943143842316364258360964525942681921093601718328354607455736044611610332749_<98> (Dmitry Domanov / Msieve 1.40 snfs for P49 x P98 / September 19, 2011 2011 年 9 月 19 日)

31×10¹⁸¹-139 = 3(4)₁₈₀3_<182> = 3 × 11 × 88366854673_<11> × 11811793546726317925689185220764135356335170073582955793836926620911412724621726151987056942827021105090587103143967571315298783281058785038236268013321322925884865321227_<170>

31×10¹⁸²-139 = 3(4)₁₈₁3_<183> = 7 × 47 × 71 × 73061 × 115807 × 1742787812673136253590271810206184856301248995141161296152518722349045832978420439883008449537109498324973231670524790158634294837919501915856234932269444845812157501151_<169>

31×10¹⁸³-139 = 3(4)₁₈₂3_<184> = 11 × 6271 × 100207618408818769953369343053477573985594867867454028216858231374779324945945217331537721_<90> × 498297786397843298786484049159684239369074605709847311257469554644236411505194367194905543_<90> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs for P90(1002...) x P90(4982...) / 179.90 hours, 3.16 hours / July 27, 2009 2009 年 7 月 27 日)

31×10¹⁸⁴-139 = 3(4)₁₈₃3_<185> = 3² × 50860390743863081094178433417_<29> × 75248350196541765986731032991141074676843238579485128560091333022256455922893727877575862591799754153933049498279895799619706673770461385880459855652498731_<155> (Philippe Strohl / gmp-ecm 6.1.1 B1=2300042, sigma=1645410585 for P29 x P155 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁸⁵-139 = 3(4)₁₈₄3_<186> = 11² × 17 × 181 × 41131 × 1592243039_<10> × 2417267440429797889605030637_<28> × 17757128990144490057865326416335009059131_<41> × 329101785627995503144769772900089826205540526094392828018012426909891788968440162312882573944829573_<99> (Philippe Strohl / gmp-ecm 6.1.1 B1=2066748, sigma=1281007177 for P41 x P99 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁸⁶-139 = 3(4)₁₈₅3_<187> = 23 × 197 × 12889 × 79305419 × 426988973 × 5304437323894698110467_<22> × 328357584930288246492615101574425174699711196632157815806506609932638253213740819472711483701358573096765456382276433716317937708308798656613_<141>

31×10¹⁸⁷-139 = 3(4)₁₈₆3_<188> = 3 × 11 × 29 × 61 × 241 × 98179 × 112248136883_<12> × 783364859225642867_<18> × 1727163459357605750352998449_<28> × 164196954065457715662867443824655950251646134753513433315021486090756322002092113115211737417020608434428917777964035129_<120>

31×10¹⁸⁸-139 = 3(4)₁₈₇3_<189> = 7 × 67 × 18214247 × 1547643044807_<13> × 32068366502294772969289_<23> × 1012470483116197841220937_<25> × 84849343376508239190960406038356453_<35> × 9457070455579216561206645080326391993908933230482748518130225887092524173094568016867_<85> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=2407219285 for P35 x P85)

31×10¹⁸⁹-139 = 3(4)₁₈₈3_<190> = 11 × 18960275308406929724116517425722392691269164543_<47> × 148127824952087837453635732252173826200808100223731_<51> × 111492387161833705684170668928437133194092717290960694048484857650925015218158645936453543861_<93> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs for P47 x P51 x P93 / 1502.39 hours / July 26, 2008 2008 年 7 月 26 日)

31×10¹⁹⁰-139 = 3(4)₁₈₉3_<191> = 3 × 19 × 59 × 359 × 3258043336272548779008002886122874571288404601111566773541731_<61> × 8756710898999513727194865930909654610791856616776070564855670702424349065435730402674191725009366629927668168079773573912709_<124> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.42 snfs for P61 x P124 / 7.34 hours / December 22, 2009 2009 年 12 月 22 日)

31×10¹⁹¹-139 = 3(4)₁₉₀3_<192> = 11 × 72421 × 442903 × 986849 × 435487837 × 514742071 × 4413030806370776499926388167824891144652886594514585188016001806968233931419650133716024439104160893582862831605944707481981681749918957640437907074121189937_<157>

31×10¹⁹²-139 = 3(4)₁₉₁3_<193> = 157 × 1936999 × 12156616229645126390322167911417_<32> × 606268239934794595379364961442940829_<36> × 1536783223791944940826326054744739537580422334052791100435400818238680780875852116995008930134240059957027789762086957_<118> (Philippe Strohl / gmp-ecm 6.1.1 B1=1092962, sigma=3493276021 for P32, B1=2011540, sigma=635649331 for P36 x P118 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁹³-139 = 3(4)₁₉₂3_<194> = 3² × 11 × 43 × 103 × 8836267177_<10> × 6010459266860772296513512068485127269483470863993449_<52> × 1479114560607985146896892994161646774557589072884134183081997252750136008346390184411053668229931111632326267590379921445793021_<127> (Dmitry Domanov / Msieve 1.40 snfs for P52 x P127 / December 28, 2011 2011 年 12 月 28 日)

31×10¹⁹⁴-139 = 3(4)₁₉₃3_<195> = 7 × 24851 × 578959 × 117602516565159674781337594954997_<33> × 1736648356153263282151812902240569_<34> × 16745609548147609812124124983067904018895063174524086172259099007693123279142523007585234586580156877839035349260578677_<119> (Philippe Strohl / gmp-ecm 6.1.1 B1=1004838, sigma=1627541657 for P33, B1=1932886, sigma=1421857635 for P34 x P119 / March 9, 2007 2007 年 3 月 9 日)

31×10¹⁹⁵-139 = 3(4)₁₉₄3_<196> = 11 × 409 × 433 × 1231 × 9857 × 29106199 × 226024859 × 5027043972621015155274153602261603_<34> × 41433531372867190291167283842406197561393129410380547_<53> × 106342324766293711829280395695997048871167748055614496392382541721164071319590027_<81> (Philippe Strohl / gmp-ecm 6.1.1 B1=2131945, sigma=463069574 for P34 / March 9, 2007 2007 年 3 月 9 日) (Dmitry Domanov / ECMNET/GMP-ECM 6.2.3 B1=11000000, sigma=417595026 for P53 x P81 / March 29, 2010 2010 年 3 月 29 日)

31×10¹⁹⁶-139 = 3(4)₁₉₅3_<197> = 3 × 1541538682997486108092462038285734433957144793058057857281416009722861673_<73> × 7448065759307452366876877828005306670204146180497540890101571996285418693550680753007022233010389291838968682804731542510497_<124> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs for P73 x P124 / 44.75 hours, 10.1 hours / February 9, 2009 2009 年 2 月 9 日)

31×10¹⁹⁷-139 = 3(4)₁₉₆3_<198> = 11 × 8529173 × 16832693 × 31718978554313454335064248296767941_<35> × 160608599419467916180238425156508503160780971_<45> × 42813229110246626832378242698715931155302658567529604693527427746813019118173010124688131079782924202447_<104> (Philippe Strohl / gmp-ecm 6.1.1 B1=3161703, sigma=1430680339 for P35 / March 9, 2007 2007 年 3 月 9 日) (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P104 / September 7, 2021 2021 年 9 月 7 日)

31×10¹⁹⁸-139 = 3(4)₁₉₇3_<199> = 13807 × 55176943 × 2464251682646479368817283_<25> × 7668852788629687774894484829351720091_<37> × 239247143552778489059012095627246918199057381789225651368653497083406463540165747563198598351478625341918482064501174891622731_<126> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2600234418 for P37 x P126 / March 16, 2005 2005 年 3 月 16 日)

31×10¹⁹⁹-139 = 3(4)₁₉₈3_<200> = 3 × 11 × 179693357 × 236583577966661_<15> × 657200123846000717_<18> × 25940083465502857858906903992989478577999_<41> × 1440189436190446608158765705514489631723081130083783577378482507824595252336374286344349047917165742809612424603443081_<118> (Serge Batalov / GMP-ECM 6.2.3 B1=11000000, sigma=4254866657 for P41 x P118 / October 16, 2010 2010 年 10 月 16 日)

31×10²⁰⁰-139 = 3(4)₁₉₉3_<201> = 7 × 127 × 229 × 257 × 1181 × 612926661756061_<15> × 13953296062532647_<17> × 195415996450013731766764192217531436659581111975539989444428637510227531_<72> × 3335442715068285161781653981122752088965869496373165031439121647360924872390627960688667_<88> (Eric Jeancolas / cado-nfs-3.0.0 for P72 x P88 / October 2, 2020 2020 年 10 月 2 日)

31×10²⁰¹-139 = 3(4)₂₀₀3_<202> = 11 × 17 × 12857690158584409_<17> × 1432565941513730588734474853006366750599332606554743681337329757559653379422082564106862515673625163395129630575692523747752806758317470106859100440909037162282086503046736471142234121_<184>

31×10²⁰²-139 = 3(4)₂₀₁3_<203> = 3⁴ × 31139 × 696818009 × 19597927093062771026378392892105207342621769355215933944875206935166523085264992691823531029318739916383321953033418486911918351797305175594025384297470470691757046272746602023847433053953_<188>

31×10²⁰³-139 = 3(4)₂₀₂3_<204> = 11 × 55806577 × 74484178540511_<14> × 190548082345535070145578547298351220169_<39> × 39534158515324203925036122180033184634494967910336888403722996044519314426516542216282159706964194561855809095824464074580955532480223273737191_<143> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1840124601 for P39 x P143 / December 24, 2011 2011 年 12 月 24 日)

31×10²⁰⁴-139 = 3(4)₂₀₃3_<205> = 263 × 52021 × 1900541 × 57807274415061435330863_<23> × 7134667971356500588834081834949_<31> × 321182028338363764602536162787686023822129665690800770923694699643285795587213157581488191520311555042333835377659505216800645206719348423_<138> (Serge Batalov / GMP-ECM B1=1000000, sigma=3661097282 for P31 x P138 / December 13, 2011 2011 年 12 月 13 日)

31×10²⁰⁵-139 = 3(4)₂₀₄3_<206> = 3 × 11 × 331 × 134402197 × 30234154996053110782105001_<26> × 409226120630107165927212633145313170482144591771173857_<54> × 24779847378724856699807464937745503458055784466555803953_<56> × 76526363050566191758699978416905930350547808821879413309493_<59> (Bob Backstrom / Msieve 1.44 snfs for P54 x P56 x P59 / February 25, 2024 2024 年 2 月 25 日)

31×10²⁰⁶-139 = 3(4)₂₀₅3_<207> = 7 × 965459692890269_<15> × 132312484421448736953172837048487933_<36> × [385199906537105037398185417040703913876257949984278267743931111798569219274591660001795059684194037298964791297930718767691317966259335512584482077134229637_<156>] (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=4234168626 for P36 / December 13, 2011 2011 年 12 月 13 日) Free to factor

31×10²⁰⁷-139 = 3(4)₂₀₆3_<208> = 11² × 5869 × 32173 × 345337567 × 36479917093_<11> × 4710982155589_<13> × 51768863113695412760477979906552901981_<38> × 189525274892664709627557360408863965676374563998023_<51> × 258900718648648059069352538968909715656511819366755143124062762218047546659527_<78> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=4206014748 for P38 / December 10, 2011 2011 年 12 月 10 日) (Warut Roonguthai / Msieve 1.48 gnfs for P51 x P78 / December 16, 2011 2011 年 12 月 16 日)

31×10²⁰⁸-139 = 3(4)₂₀₇3_<209> = 3 × 19 × 23 × 2341 × 2077483 × 2464627771_<10> × 46778860695080021415301_<23> × [46857231181167313965313381405142138304417340938994687684077245463495319159376530997658373078197039562370440687088321792967679133050994277114919291572349994551486501_<164>] Free to factor

31×10²⁰⁹-139 = 3(4)₂₀₈3_<210> = 11 × 4337 × 4965573947_<10> × 17074353839_<11> × 12267995407147391555091859845825977_<35> × 6941442673656058644009893063234385616362039538478586267958546204178206826152854954606579022810947133499336113525163691148660984566584105904674844295589_<151> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2322056496 for P35 x P151 / December 11, 2011 2011 年 12 月 11 日)

31×10²¹⁰-139 = 3(4)₂₀₉3_<211> = 1723 × 240109 × 7251584773_<10> × 35555834825718120857051_<23> × 32291012263202968523480312731078581176636482167145429119683816556635201373119872858900565853550196171654011033857339066814255387052636256612668480104155072414737544759763_<170>

31×10²¹¹-139 = 3(4)₂₁₀3_<212> = 3² × 11 × 347 × 4449023 × 37420631511882982389176786407218823307583277_<44> × 6022526944629365995369120113536263408647385533733365589203122202927709867363641064408094698807064791612744034447490037550818716182763831192079663064264137961_<157> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=147861832 for P44 x P157 / March 18, 2012 2012 年 3 月 18 日)

31×10²¹²-139 = 3(4)₂₁₁3_<213> = 7² × 98699872751_<11> × 136169882170690527977422820654294506607320056638721413108524861665685927788477967866655354868731_<96> × 523028615112566613285592986276907805747075319544805114545413886074581181904681517593848316464833982394847_<105> (Bob Backstrom / Msieve 1.54 snfs for P96 x P105 / October 17, 2020 2020 年 10 月 17 日)

31×10²¹³-139 = 3(4)₂₁₂3_<214> = 11 × 205427 × 471448489 × 3233216058870141158610560120629537058685279860900676652098252281838771886029106449824792162633160645430378667123612782195367090013837761295047241131517491046176921798675373414095630321801662629305171_<199>

31×10²¹⁴-139 = 3(4)₂₁₃3_<215> = 3 × 43 × 330629860935700989608453672132313439_<36> × [807583430268817124975781642338645408108917767150844580196000858709197108946015053499800802189609716402335600947781902983864521101314937761612998916299476609579274626496704202053_<177>] (Wataru Sakai / GMP-ECM 6.3 B1=3000000, sigma=719118608 for P36 / December 18, 2011 2011 年 12 月 18 日) Free to factor

31×10²¹⁵-139 = 3(4)₂₁₄3_<216> = 11 × 29 × 4751 × 6329844887_<10> × 9770434001702892739097_<22> × [3674824030846822453470393766618744647102522870852245093284537914944670600642135351722339030643291286345749515844331337418454214549522290438247720672451022679607836551262803835573_<178>] Free to factor

31×10²¹⁶-139 = 3(4)₂₁₅3_<217> = 2141 × 9721 × 9763213 × 129790819 × 102644137550613077414310888735386391079905107_<45> × 1272391287967749189371989431831044513150819178353216811990562190601551606516028664624861768104348205765357451244413094332332711441642785519791955206147_<151> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2824021203 for P45 x P151 / December 29, 2011 2011 年 12 月 29 日)

31×10²¹⁷-139 = 3(4)₂₁₆3_<218> = 3 × 11 × 17 × 71 × 241 × 345997 × 8735243858075774204203783994215157887909391434898641_<52> × 1187226454143794230131989728077729327489163531649776602069184358765000939634650817394313942343912001222623320577249809843520189873212416053441652115846929_<154> (Bob Backstrom / Msieve 1.54 snfs for P52 x P154 / June 20, 2020 2020 年 6 月 20 日)

31×10²¹⁸-139 = 3(4)₂₁₇3_<219> = 7 × 8672985095014785257122584779573_<31> × 5673519401599446874878288724650238424962554886255129554213828826695494316793333299520049170760151330340697952293277347305672884795994533151027639512847131206245176334139575819429308400313_<187> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=357019724 for P31 x P187 / December 13, 2011 2011 年 12 月 13 日)

31×10²¹⁹-139 = 3(4)₂₁₈3_<220> = 11 × 609461 × 20163715617549089_<17> × 114462860069987282415568859401181_<33> × 222610385786369777952625434442578878643795762707240746921928604389065379276179912653709434002628104948737320077884396211816704750742069128341595445657067604043017937_<165> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2391799021 for P33 x P165 / December 13, 2011 2011 年 12 月 13 日)

31×10²²⁰-139 = 3(4)₂₁₉3_<221> = 3² × 173 × 4423 × 48247 × 719671 × 1537469 × 580592998035134521_<18> × 50816038139853371538739_<23> × 178689457681619807217959210303_<30> × 17771800151681090160122550669766567412594654641102440350357609375085365145624766890172763567334869231257441517724668220875538553_<128> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=3689004651 for P30 x P128 / December 13, 2011 2011 年 12 月 13 日)

31×10²²¹-139 = 3(4)₂₂₀3_<222> = 11 × 67 × 202591 × 44558276706619594574003_<23> × 3922271555748172205796832389248561_<34> × 354756304434412062623978200140590692231_<39> × 37207919053570592750448072629923906317290037997532074479330704187934804887709743765871076716091370002417166982362008273_<119> (Serge Batalov / GMP-ECM B1=1000000, sigma=2747073848 for P34 / December 13, 2011 2011 年 12 月 13 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2986231051 for P39 x P119 / December 27, 2011 2011 年 12 月 27 日)

31×10²²²-139 = 3(4)₂₂₁3_<223> = 792479 × 13085885796271_<14> × 211650637685410293419979141864359_<33> × 14443292425234186056101212954777794871331622705208177751_<56> × 108653197239003448203302146561084508316722649453970615003064677857506744137312955791401204449427000942353697048867403_<117> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1134580038 for P33 / December 25, 2011 2011 年 12 月 25 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P56 x P117 / March 11, 2020 2020 年 3 月 11 日)

31×10²²³-139 = 3(4)₂₂₂3_<224> = 3 × 11 × 167 × 100831901 × 256283066896432712336560992053643927598574970011746818154237768913780734479181_<78> × 241863818861996528623378139439104721832304226275861868936965087198192934568452486096318798491423164876615526649865041795122500762417973_<135> (Bob Backstrom / Msieve 1.54 snfs for P78 x P135 / May 11, 2020 2020 年 5 月 11 日)

31×10²²⁴-139 = 3(4)₂₂₃3_<225> = 7 × 89 × 199 × 3821 × 136859 × 715237 × 1363207 × 23581777 × 126322290164003_<15> × 382114564113570148453_<21> × 28847935535258404951367_<23> × 370140608357170313288971_<24> × 448316060997184350227320560310205420501833609931541083343339521775210180098200236072101651678007462904450048709_<111>

31×10²²⁵-139 = 3(4)₂₂₄3_<226> = 11 × 313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313_<225>

31×10²²⁶-139 = 3(4)₂₂₅3_<227> = 3 × 19 × 122340137 × 34447393936719451246639_<23> × 143390042874217244020740031786300118305128943290329302858398423734841229396121251056639063916724585735930860552263020935021277605470989269958490394410763455127809692554845011750510720907446167093_<195>

31×10²²⁷-139 = 3(4)₂₂₆3_<228> = 11 × 103 × 33827 × 64327 × 125711 × 51794017643446029169987_<23> × [21457524240089828100471603627802609441013719895050164613737149462024972851212231415122884090623093597208363789724527593535204189094941741891432965682442852553400379628741111308218168839607_<188>] Free to factor

31×10²²⁸-139 = 3(4)₂₂₇3_<229> = 47 × 460868203436457023241887546811756114925653269465323026033911_<60> × 159017375169299789088037132090636313875034413300747443749622189023780156492157864342671501997514026922153998999860909539618904649249191688690393527674137800479541733779_<168> (Bob Backstrom / Msieve 1.54 snfs for P60 x P168 / November 25, 2018 2018 年 11 月 25 日)

31×10²²⁹-139 = 3(4)₂₂₈3_<230> = 3³ × 11² × 149 × 8439447259_<10> × 196130107279_<12> × 2485312111441_<13> × 5918665546579_<13> × 547685856484252457077_<21> × 570503159006587335045689_<24> × 9301033254449542733433168744541840901347274832528615699490667933712450833991419919822441452118618533825444689963286458945299871147783_<133>

31×10²³⁰-139 = 3(4)₂₂₉3_<231> = 7 × 23 × 647 × 33587 × 914047 × 17167431098215646497429_<23> × [6273992176543000518790081287189352730747623068081975452203693292024941931567161095304400881145117113323265725511348020225717632443304835721315274577712890772026295785839905136317291873795207709_<193>] Free to factor

31×10²³¹-139 = 3(4)₂₃₀3_<232> = 11 × 1061 × 6532007 × 75635551537931477_<17> × 30762157490592224771953_<23> × 19418769399692017045143254833620493581257520972446669512451288523521989898767467705253655547229962686104665942377201354348601743051371775765927167544180331348865078336598130218887199_<182>

31×10²³²-139 = 3(4)₂₃₁3_<233> = 3 × 87557 × 192601 × 6734979281_<10> × 94637341399063339_<17> × 1068192990622807708249201624670308470595350220248146569288464605487024699231868526506287561044199995805866227176215695317339060595748772169289010324859664522510875255004426771682744687892920286087_<196>

31×10²³³-139 = 3(4)₂₃₂3_<234> = 11 × 17 × 3079 × 14731 × 770873 × 212899072913383460603_<21> × 1176409291781410770561188489638122271_<37> × 210339389179208147357013202236974601198295804594006782446946814547703125361658263614433751646721475940448531904673733386940786130126326917822187405129670196399689_<162> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2358890366 for P37 x P162 / December 14, 2011 2011 年 12 月 14 日)

31×10²³⁴-139 = 3(4)₂₃₃3_<235> = 48131 × 20872416041026149375277_<23> × 8708743152124486856670697649_<28> × 7962599106828044844749149627531907_<34> × 33271715455831229540248894606148999085525542954742752393_<56> × 1486058994100328500005354007100808815947859533844298874157432987726491207861210492251447911_<91> (Serge Batalov / GMP-ECM B1=250000, sigma=1389616449 for P28 / December 13, 2011 2011 年 12 月 13 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=439832136 for P34 / December 14, 2011 2011 年 12 月 14 日) (Edwin Hall / CADO-NFS/Msieve for P56 x P91 / December 11, 2020 2020 年 12 月 11 日)

31×10²³⁵-139 = 3(4)₂₃₄3_<236> = 3 × 11 × 43 × [24273745203977762117297001017931250489390024273745203977762117297001017931250489390024273745203977762117297001017931250489390024273745203977762117297001017931250489390024273745203977762117297001017931250489390024273745203977762117297_<233>] Free to factor

31×10²³⁶-139 = 3(4)₂₃₅3_<237> = 7 × 179 × 1231 × 1249 × 27631 × 108473739666959_<15> × [59652191910761948746577138445144936838563468959646004612659384058119989197347643826384763494678873953002784780283661819559584251698845196370466592245865348018104230111421799343191975607437083380441320535543281_<209>] Free to factor

31×10²³⁷-139 = 3(4)₂₃₆3_<238> = 11 × 9871711377500135025192967484299_<31> × 111661912385413396541106605782116469951_<39> × 284072365970645999996081779035595784626171447162041188430944159050660127802944237425069107227062516475699950096337389724074933037062488313692697517481967506120564954637_<168> (Serge Batalov / GMP-ECM B1=1000000, sigma=279323885 for P31 / December 13, 2011 2011 年 12 月 13 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=2809493450 for P39 x P168 / December 25, 2011 2011 年 12 月 25 日)

31×10²³⁸-139 = 3(4)₂₃₇3_<239> = 3² × 378025909 × [10124069283904983596844311784532103311011839915520606535535532549508823464867749299763367525761734214432271873267714287348385144223436002179312248746316734145226257037214065206203879076342605467183715778487801552143067069935922903_<230>] Free to factor

31×10²³⁹-139 = 3(4)₂₃₈3_<240> = 11 × 9533 × [3284709043651664023005678308311267505644931429049754865342822963718799237523668447826635175843190109423194496099143114773031903001482357403893121925220949662363697819482986796529228082778906234271806494611487793067568584195039665510661_<235>] Free to factor

31×10²⁴⁰-139 = 3(4)₂₃₉3_<241> = 2543 × 198230023 × [6832873694279499285806423253406796384602891518777044723692757189722772797117617763118064190603530192725810211771208161474527920426051536525137209934531243628896972643382356000930341874051098531618949663990923581044415933424493187_<229>] Free to factor

31×10²⁴¹-139 = 3(4)₂₄₀3_<242> = 3 × 11 × 743 × [1404806250028322706653796828763181387676677044106384617824725496327111401135627245990637646088520920284042760489597636300193500731858739934110055240607057565334819708978524590906825092558605344608036398076774927380580139664931051202921997_<238>] Free to factor

31×10²⁴²-139 = 3(4)₂₄₁3_<243> = 7 × 127 × 49430476864109070029_<20> × [7838313387489391500010019968455208193288499180292381727159169509092350444690465741441464147921342694701115942011014396566866119094751911108772762222560797500292551219009162733425751642533348919281611315363249989910479103_<220>] Free to factor

31×10²⁴³-139 = 3(4)₂₄₂3_<244> = 11 × 29 × 9638216803_<10> × 1120293484571313984837824144666084987290430218188699566868207157808303826863452226808224624192165171790279430997053466379545256424550391013870615908251930883340239388367989342840194114660283472760254712766781146453325457571169347799_<232>

31×10²⁴⁴-139 = 3(4)₂₄₃3_<245> = 3 × 19 × 45137 × 2100193 × 930519524436095584853_<21> × 6850573676267497086191154661765418562748407972498398738842177900297975013074365976230870902214512280424376791164572424221839402858756633552185646144947801707649372854226218888524421001021309346527440792692098263_<211>

31×10²⁴⁵-139 = 3(4)₂₄₄3_<246> = 11 × 463 × 31762630138985368661_<20> × 2769283136456662459006454383_<28> × 4559467016518003703222362987110681850289_<40> × 4055882320963952304655179833199414985109309_<43> × 41577872740205340382622803263151639402294590183372798906324936301053387489518652193117869543759530429232167803777_<113> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2208288334 for P40, B1=43000000, sigma=696224363 for P43 x P113 / December 28, 2011 2011 年 12 月 28 日)

31×10²⁴⁶-139 = 3(4)₂₄₅3_<247> = 365425448193609571817460156260302354795067337023_<48> × 9425847218553619178824897970899404381287108639854964269307204578535941676858327842120181298608717846060098790324871295832517170647796575186858635375299375196935658077143466605213177503635030710005541_<199> (vanos0512 / GMP-ECM B1=110000000, sigma=1362773174 for P48 x P199 / February 24, 2013 2013 年 2 月 24 日)

31×10²⁴⁷-139 = 3(4)₂₄₆3_<248> = 3² × 11 × 61 × 223 × 241 × 971 × 1033 × 6628852426499100587729151095699_<31> × 15961523696606267865369047342973401569148216432265418841929772556908608132384943207219106790903602206959659244610868405058844696582254769152109543235241952718957638179569482818566951634716405860547260587_<203> (Serge Batalov / GMP-ECM B1=1000000, sigma=1343513565 for P31 x P203 / December 13, 2011 2011 年 12 月 13 日)

31×10²⁴⁸-139 = 3(4)₂₄₇3_<249> = 7 × 59 × 461 × 4703 × 16453 × 1329197 × 28900534113340702237_<20> × 6165079056381661411042381_<25> × 2008506238692476530256295909180211_<34> × [49151986455913321995774948686938527869355687753779400719735398607026211976525816050548658636963644112090429486798816924128806972531898230180535796072311_<152>] (Serge Batalov / GMP-ECM B1=3000000, sigma=156388063 for P34 / December 13, 2011 2011 年 12 月 13 日) Free to factor

31×10²⁴⁹-139 = 3(4)₂₄₈3_<250> = 11 × 17 × 97 × 189891639254889709710813410025053445308145126216684737000079631977752050523427115300978248219000189891639254889709710813410025053445308145126216684737000079631977752050523427115300978248219000189891639254889709710813410025053445308145126216684737_<246>

31×10²⁵⁰-139 = 3(4)₂₄₉3_<251> = 3 × 25343 × 57727 × 6522204836503_<13> × 8488619739559_<13> × 141752068322302251018608816913880358462906435561167760776488445870390795446414813708997885879126058991727424740976515402473096056193805765251607321586130420857777698905014793028387440320329303208122757306114138008073_<216>

31×10²⁵¹-139 = 3(4)₂₅₀3_<252> = 11² × 337 × 16805981 × 495719041 × 526104629 × 1006969918619469841302741943722955663111_<40> × 1913884935866332434704350119364520198648538596749799939873730806474991084194274310418376094483456853547373907622155680212632178808504855136747005162265537608459916352126404753544175141_<184> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=3431559695 for P40 x P184 / March 25, 2017 2017 年 3 月 25 日)

31×10²⁵²-139 = 3(4)₂₅₁3_<253> = 23 × 71 × 113 × 163 × 1613 × 3023497 × 11817193693_<11> × 389092231467283_<15> × 216052219801847399_<18> × 23637274337651144685257080723261652104478237347374458384994619480763398392520394434464506658372505649480819304939359994799325483539376670105701745042227153873573156644164979965670341471811106149_<194>

31×10²⁵³-139 = 3(4)₂₅₂3_<254> = 3 × 11 × 158257873919589204713699_<24> × 446104036738348144788277027422175559043107_<42> × [14784402051938361277979205633439186183019212133688519683736741417531890567029411691260055046088473972292550301104044132435815867165949132756162273823776008050246637296691601614128246832547_<188>] (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=3845787093 for P42 / March 26, 2017 2017 年 3 月 26 日) Free to factor

31×10²⁵⁴-139 = 3(4)₂₅₃3_<255> = 7² × 67 × 108041099 × 658080859 × 1475638743913124186766641379307773890462506344260306248506886176160684465441476436435091880810486874901053885145757817125096179751678887582624226273878892085844317339221832814338912281368587005279287447284944986367903105350031926223281_<235>

31×10²⁵⁵-139 = 3(4)₂₅₄3_<256> = 11 × 144506977 × [2166894081047125712920638517898780287356861067900639367143714542802408296958086066192590350243997652316213986769173872700368863941644237228166023521004893288392098280011166044343528915779015509494266931701942192819737092218828515893259002513858769_<247>] Free to factor

31×10²⁵⁶-139 = 3(4)₂₅₅3_<257> = 3³ × 43 × 25981 × [1141907963698922645566918608030842005838840635726095752688431675570657177868251514099051063799801373581934948236520037101400126874815344733781452643885109191946915837172750220020800479766368872172387701078066836307777038963325264574826095981438381823_<250>] Free to factor

31×10²⁵⁷-139 = 3(4)₂₅₆3_<258> = 11 × 109 × 131 × [2192949878362022069564614560762750411885505379447532259353815485197234619463066833330857422180343953577373284635697969965075504679118377556643541656497745859745999811830752372807138547036298979712384012405022279663360971575832560495352007362652365803847_<253>] Free to factor

31×10²⁵⁸-139 = 3(4)₂₅₇3_<259> = 839 × [4105416501125678718050589325917097073235333068467752615547609588134021983843199576215070851542842007681101840815785988610780029135213878956429611971924248443914713283008872996954045821745464176930207919480863461793139981459409349754999337836048205535690637_<256>] Free to factor

31×10²⁵⁹-139 = 3(4)₂₅₈3_<260> = 3 × 11 × 32861137 × 265556575979672281_<18> × 7495929041664223763_<19> × 33427208702171205463_<20> × [477353398153637681541460004463080434853804839965872468298693767809519761722505346018534465638358275306275384138856716449983723137260890724027584980496639559688110364580489660115332179536647967447_<195>] Free to factor

31×10²⁶⁰-139 = 3(4)₂₅₉3_<261> = 7 × 307 × 160281267773124450648880616307326405046274753115143994622821984385502300811747065818727056512072798717749857815004394808955069541388759629801975078848043017424124915981593506023473450183547903417610258001137479964841528359443668889922961584199369215655860607_<258>

31×10²⁶¹-139 = 3(4)₂₆₀3_<262> = 11 × 103 × 1693 × 2908515107_<10> × 231447778111717_<15> × 10983826606172012172781_<23> × 1396107531470117311511387437_<28> × 973096256944538541368900919750470936392696489_<45> × 178763823999440982445452590197887633504631181949879195296086405346616659439371871179763040180768835575583021530258387200305501860299353261_<138> (KTakahashi / GMP-ECM 6.4.4 B1=3000000, sigma=3355536314 for P45 x P138 / March 12, 2017 2017 年 3 月 12 日)

31×10²⁶²-139 = 3(4)₂₆₁3_<263> = 3 × 19 × 145379911 × [4156616239951757369037655409111793517360789270433252160983153298431590941091499904861966318058129083772386754345230676508951299359981717318159113498759116899866107390095313962196129039372565204976157980234965375244524701136314668270299080651514674136309_<253>] Free to factor

31×10²⁶³-139 = 3(4)₂₆₂3_<264> = 11 × 173 × 113252869335711396110680771208620294684703_<42> × 1598200205408545492511030942629436999575647202957838078664283146147885678660801398817054354478569557340154232254377377426138585285993949647941824591366174334466679886735466562333659406224816705298067008553716334095844427_<220> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=1855136501 for P42 x P220 / March 24, 2017 2017 年 3 月 24 日)

31×10²⁶⁴-139 = 3(4)₂₆₃3_<265> = 3879605218446691_<16> × 491626801970801547142930422914584599458249_<42> × [1805909981125210969761857993737605202638362438919511136862930020212024487235944032729986278880261453966732588561832988772160012794484304240050961972832898252917518204702395326949811064660948588344463299014177_<208>] (Serge Batalov / GMP-ECM B1=11000000, sigma=1:1235930025 for P42 / March 29, 2017 2017 年 3 月 29 日) Free to factor

31×10²⁶⁵-139 = 3(4)₂₆₄3_<266> = 3² × 11 × 17 × 193 × 6277 × 3356039 × 169477960693_<12> × 704103969470156877577_<21> × 220126017301453458159798833_<27> × 440862558841213442401751962067889120462814699_<45> × 434684361855795178123902097406156732000050547763123192966171953230985256360029518060810534760193634943923233974676905346429267066898873228944290077_<147> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=2661439411 for P45 x P147 / March 23, 2017 2017 年 3 月 23 日)

31×10²⁶⁶-139 = 3(4)₂₆₅3_<267> = 7 × 991 × 2353343 × 65050882903_<11> × [324346386771063305673502974940394383162121250530289988975437499182503561356784452455307198673746015213098769968605793487224825469131927609943780879515717119246751547621570943741924479632436440575166101209883164619428915803001582901806426611433691_<246>] Free to factor

31×10²⁶⁷-139 = 3(4)₂₆₆3_<268> = 11 × 2622761 × 293362259 × 406971072693407236621527035855627207561398116858733124546719442888351725294058340121204101060294236189493692540197126655411367205519202651642243241067146267265017753485837408337767055677908426258277432050918524900228370275609089351703862784960987206387_<252>

31×10²⁶⁸-139 = 3(4)₂₆₇3_<269> = 3 × 89 × 1283 × 5189 × 9902043551_<10> × 321862000975201_<15> × 822386606877029_<15> × 1514035322356359023252000576513991829_<37> × [4883048306733722972997300111598219596987464153603329890840753726783197691161406801431514928015150894770382295582482947716264412054798334044341493361789519736160840376654477210898161337_<184>] (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=274844791 for P37 / March 12, 2017 2017 年 3 月 12 日) Free to factor

31×10²⁶⁹-139 = 3(4)₂₆₈3_<270> = 11 × 3257 × 475258439263363458317_<21> × 4667750703705255225316660160641229_<34> × 5728952911998752596809985895220783349_<37> × 3220499366404223848964966680640241567805103_<43> × 234894462899854285765661008317734050075196470183405750834180421278062569095933606476832481343412063971686505109852462805242250242979_<132> (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=16383582954971967767 for P34 / February 22, 2017 2017 年 2 月 22 日) (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=1655793193 for P37 / March 12, 2017 2017 年 3 月 12 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3039469215 for P43 x P132 / March 15, 2017 2017 年 3 月 15 日)

31×10²⁷⁰-139 = 3(4)₂₆₉3_<271> = 157 × 373 × 9649 × 4412463493_<10> × 1519919638891_<13> × [908922055586123473508728845015412756806931289609640610087955982009319010062393767270801354777568854650601267384669773175072000657207093275584184655816014771390636159619537638462156078687907591217196013871072673068130717471902981147989149549_<240>] Free to factor

31×10²⁷¹-139 = 3(4)₂₇₀3_<272> = 3 × 11 × 29 × 237977 × 3402709 × 66952319899_<11> × 25685039141173_<14> × 2293458567333781_<16> × 78355408834246457857037_<23> × [143827426573279711685583666131267903760395826750995278528266535428776629708131463876327525655157843651250603151996452028107095485736281363238080642029952784808765839860555911544941607560202446997_<195>] Free to factor

31×10²⁷²-139 = 3(4)₂₇₁3_<273> = 7 × 857 × 689789 × 1113770971_<10> × 2489539294172422032736753_<25> × 6551941342607769297074443967_<28> × [4581832173723303281439382175212074721370174242543281182105486747992250471960411116302263665236712308128715453656884975456141427156039440136565158626371152259425227088637315306771391612212754671005968853_<202>] Free to factor

31×10²⁷³-139 = 3(4)₂₇₂3_<274> = 11² × 394993 × 391610594967199797360975029_<27> × [184030574469080272605536798628012521610439657823591362946971150837161926689375145146369060221576659388306130120409782298374127820595215555589990738814411706864056571714183364175620445208201249818842495871614535635474388588279346670828685239_<240>] Free to factor

31×10²⁷⁴-139 = 3(4)₂₇₃3_<275> = 3² × 23 × 47 × 701 × 8161 × 14369 × 3090987033769_<13> × 13933680795639010992591649506526002841442667672245529914463288632718864277252120161754571205381124213675553660788614161796713069727023613841486557097969065501100299655421648812090628627574225346158861076469699599088436710820071573054328969461586527_<248>

31×10²⁷⁵-139 = 3(4)₂₇₄3_<276> = 11 × 3921885179_<10> × [7984203994752216872923686201862492907856018421474371555361930016649096072711192270509690291805743687003365258723993692200674478571503154435239301357713540835743353442304159086477205434048050984848358640111863695975157286248362431039221230890429679076826260428190147_<265>] Free to factor

31×10²⁷⁶-139 = 3(4)₂₇₅3_<277> = 4512901 × 12690185831_<11> × 98930907739787_<14> × 618501775116946723_<18> × 982929686289588856102045973781889374024437717542650106667876923000332282513143688140605104154286987978299627103473688190144014831931254475335658018495956710785723892264909346029943308483083547755394305514049625357523289822255753_<228>

31×10²⁷⁷-139 = 3(4)₂₇₆3_<278> = 3 × 11 × 43 × 241 × 1231 × 424397 × 3085769 × 601697617 × 804753821 × 1193299932368191651_<19> × [108127216083659896190370067100176156177376652203390242995143559401125823825857807050124352242318684525760225038173263981720741076744598144402700106974596133637182483586080327971542872252047820495993483733169163399669319157_<222>] Free to factor

31×10²⁷⁸-139 = 3(4)₂₇₇3_<279> = 7 × 35169295904884903339598197_<26> × 14513833693060146804038146455126947_<35> × [96399621391367622565063064243188442522945148135119161659307641391586400104877927175056359806522605892112000065735436113066754872292786934603519416329892221672970368728823208085866166761284927122892201290408478731061811_<218>] (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=4140828513397317952 for P35 / February 22, 2017 2017 年 2 月 22 日) Free to factor

31×10²⁷⁹-139 = 3(4)₂₇₈3_<280> = 11 × 2024126680099_<13> × [154699464322064014464374816550187473678605310037774515980092528620433959686608325879257175272787201628757345539205251680656574022702132607167462554775343576020831017901137917188522340572898045885356546255624096231874443552296618807205262404524903715553686424148767387_<267>] Free to factor

31×10²⁸⁰-139 = 3(4)₂₇₉3_<281> = 3 × 19 × 1879 × 63493 × 172110817124423_<15> × [29429544104477537143680446580570593893351979301658730836306423909172612111893974625809978778537763462657080198110799072238010578465809735393105439703505218545606694759053203837806586098315677881822519112935100085627290334591557710355912186218868545206205879_<257>] Free to factor

31×10²⁸¹-139 = 3(4)₂₈₀3_<282> = 11 × 17 × 3203 × 121922377 × 4297185649_<10> × 9119271467_<10> × 104310487621083540037_<21> × 1153891519761237906778687652186631914102866959505732046300938573004395539475220754762894963839684382784568470272676834784592411620600193601003401983518601283287049008408476268529477487874974555668390479270398839408346829591959189_<229>

31×10²⁸²-139 = 3(4)₂₈₁3_<283> = 1667 × 989327 × [2088544450908011175953079457266023207774831796224477843896197119926024111275118914931580926664267598774245685232951061389939142267729684346612950375957946762948183178284654216701067921103972964059955664724690269179633559784082073322163397417811534932517388225165732825319527_<274>] Free to factor

31×10²⁸³-139 = 3(4)₂₈₂3_<284> = 3⁵ × 11 × 22807 × [565004703326974970887631447227889082701905492395958015404503297813073293527366811126886953725908844193408116007144787024475251016052058833487753675242138552352494682307870483257398797191377658604798637071596369884149193836981915907218784232393331180957028988308100688044684013_<276>] Free to factor

31×10²⁸⁴-139 = 3(4)₂₈₃3_<285> = 7 × 127 × 197 × 47160913 × [41703162770369335328501158647751264903002594957207664974934513727060543883995866487542692513695221044947193790742025739496321932409863321267693533466531600293790267443490224225698289486337671726018854504118922843271426670612447487304326339490349057235612645690713474955367_<272>] Free to factor

31×10²⁸⁵-139 = 3(4)₂₈₄3_<286> = 11 × 20375867 × 57069847 × 1237031239_<10> × [217682254504436837667232292956254813136442147831018262379208944780740063875661385112722877210592348903138076856519814672437318581722572323343849312382891370630255056638152960248960674292814531528635135704781797836053102838389835850230463465655821836591831165283_<261>] Free to factor

31×10²⁸⁶-139 = 3(4)₂₈₅3_<287> = 3 × 991217 × 77836091 × 634173217 × 337818290773_<12> × 835901223927509459_<18> × 1637548500587867112098845335302754469_<37> × 507467204766651767737733870057010349816672924685063462125455680917283524599060269638562093933707390144275156385270199568099307275995754946531352584466249530007131227474464991211760876188977689544593_<198> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=601180073 for P37 x P198 / March 18, 2017 2017 年 3 月 18 日)

31×10²⁸⁷-139 = 3(4)₂₈₆3_<288> = 11 × 67 × 71 × 3361 × 10177 × 710524937 × 133261621982810620453038646129_<30> × [2032453606877059426560769776031516964312588856983466816845061159349842408106066283304474541555661401772085221072924615731981080273067958541040434202109158132785443322297199112329142248680858962809088968082410904852540339789767621301430389_<238>] (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=705500352324014367 for P30 / February 23, 2017 2017 年 2 月 23 日) Free to factor

31×10²⁸⁸-139 = 3(4)₂₈₇3_<289> = 581137 × 7755817 × 24187547 × 16259869078210203429223530663563_<32> × 1563356269190069122461009923069559446671_<40> × [1242928864717951000770396765703329292204960512537217489856791971005491591265113415980961922217777866797493313274416055603006145525241222452781224538989012953866235396986817986068384714003904961937557_<199>] (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=13230877928476153445 for P32, B1=1e6, sigma=14933907053724226130 for P40 / February 24, 2017 2017 年 2 月 24 日) Free to factor

31×10²⁸⁹-139 = 3(4)₂₈₈3_<290> = 3 × 11 × 91459 × 11412447586033564450122689333701918576015165743896650641749538522956119912132989030833966816210225825463254256484009706765258433218940112739520124249893873441036650780907770378462163852338684777263812678588698444590155630075156857649559297292161198392405818684260390380072423392380969_<284>

31×10²⁹⁰-139 = 3(4)₂₈₉3_<291> = 7 × 227² × 2029 × 467813 × 130445547240964694329400332603_<30> × [7712334147627528084255977850903987702282038545690806787015628491471756148481982350428850390622397861193938572751510423297568575696415825057785673213104106991262932893907853430529246679322433937954201582164506851633922772210999855664724079423165151_<247>] (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=10468505228882197086 for P30 / February 24, 2017 2017 年 2 月 24 日) Free to factor

31×10²⁹¹-139 = 3(4)₂₉₀3_<292> = 11 × 1523 × 319873792732954196279367283090939729193_<39> × [642758659164978827963352737874920239516058231745997875433102344667091741537619746100749243608908000055038453375630343342400821848593731114023079835872761306363025065868164466793223634183066825732544362791744411677814924939497631782310822552158115667_<249>] (KTakahashi / GMP-ECM 6.4.4 B1=3000000, sigma=942632182 for P39 / March 12, 2017 2017 年 3 月 12 日) Free to factor

31×10²⁹²-139 = 3(4)₂₉₁3_<293> = 3² × 1170331711158639644407279_<25> × [3270150212402802291472038943451692120658437303300789770042858809059201123246723133366483511022743599803452933495049302225050697151279581612749501897901637107089418502477164562126636287158514205166069418490167790357425429707653351577126327909086553479698576027734944813_<268>] Free to factor

31×10²⁹³-139 = 3(4)₂₉₂3_<294> = 11 × 108710624303_<12> × 131787100998221_<15> × 480276802532357722591831_<24> × 83640951780605686071680076642107_<32> × [54409035583414089857758363880816467071110675006140945621826931056013187997095028055238775892842041102987538577438909998099440525636158534270962763906367658987358091960321452502785594062885909193206194566474348103_<212>] (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=17082411676571968629 for P32 / February 24, 2017 2017 年 2 月 24 日) Free to factor

31×10²⁹⁴-139 = 3(4)₂₉₃3_<295> = 431 × 5591 × 78973165993440268583735237371349663_<35> × 18099762364786697746322436764642730502741391995079983814445124830886432968003931441950094012135958965777248820015547642768112119931598661532840054549883970914631139022458690356219446848603278072985718636199578948990645713006738409611074752649509502226541_<254> (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=11612197485330876932 for P35 x P254 / February 24, 2017 2017 年 2 月 24 日)

31×10²⁹⁵-139 = 3(4)₂₉₄3_<296> = 3 × 11² × 103 × 1770979019_<10> × 993708188710571_<15> × 52843375704849122109242532809339_<32> × 9906323285882238431880855898091020498235080804642036826165861300231941463359309577486426449662170184337307848469227694284073325930011086249165291963635727074745685847718052413708592280234713804890927431227538033570323298522021397700717_<235> (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=11729690876500893568 for P32 x P235 / February 24, 2017 2017 年 2 月 24 日)

31×10²⁹⁶-139 = 3(4)₂₉₅3_<297> = 7³ × 23 × 4129 × 1246329197_<10> × 2669907619_<10> × 24085824215212489_<17> × 82444641882265085441383_<23> × [1600292586628526538350505026478451185126875909803180747670773412085358048896488655755581520105646993819124834556780731238289684530141888117855049383937409623381601425547725362329290777619554285169785891919858142606841620999073861283_<232>] Free to factor

31×10²⁹⁷-139 = 3(4)₂₉₆3_<298> = 11 × 17 × 28200409 × 486432267857916884632577039029_<30> × 1342764325137960561638533332257496368702688319777847735670785536067378930913530787833185180729070067172232799998330637111767303157862684561663082406971712552531103136814555724365736538327279695998609177452447527252129424775551921503755935089767500829252121349_<259> (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=16724996843812870476 for P30 x P259 / February 24, 2017 2017 年 2 月 24 日)

31×10²⁹⁸-139 = 3(4)₂₉₇3_<299> = 3 × 19 × 43 × 781741 × 236415691 × [76039050584444274122441141739210745337629436400458901680578133673089813857809040326842115195637449316579215102104486337246774876396239340809792835211962860103376639943449550210965067404415531196929376250874557231655784290671738792848651193472748118475853846103215623887878298272503_<281>] Free to factor

31×10²⁹⁹-139 = 3(4)₂₉₈3_<300> = 11 × 29 × 1069583 × 8397227193167_<13> × 214711062284860987_<18> × 559917041280965415365690913145197753993991852423795421096100083315846350540461352773491867352257198565137718372642890431903194306927643096471661353639525879598436285243682175278136809866938128484872907969864339427798017603629672288011997046595561904934275969471_<261>

31×10³⁰⁰-139 = 3(4)₂₉₉3_<301> = 128398513 × 822479194443138930311_<21> × 5609723460725776526597_<22> × 315541915112884771023030139_<27> × 18426199111433569869594804593543812380318759162988362211081062083397031403702278614117931414606454124615293590502857995198634853372931821938554195091018022352324361178865862563949295213662761648295583139004549631166438014747_<224>

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4. Related links 関連リンク

Plateau and Depression Primes (Patrick De Geest)
A056253 - OEIS (The OEIS Foundation Inc.)
A082706 - OEIS (The OEIS Foundation Inc.)
A259130 - OEIS (The OEIS Foundation Inc.)