Factorization of 355...557

Table of contents 目次

About 355...557 355...557 について
Prime numbers of the form 355...557 355...557 の形の素数
Factor table of 355...557 355...557 の素因数分解表
Related links 関連リンク

1. About 355...557 355...557 について

1.1. Classification 分類

Quasi-repdigit of the form ABB...BBC ABB...BBC の形のクワージレプディジット (Quasi-repdigit)

1.2. Sequence 数列

35w7 = { 37, 357, 3557, 35557, 355557, 3555557, 35555557, 355555557, 3555555557, 35555555557, … }

2. Prime numbers of the form 355...557 355...557 の形の素数

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

32×10¹+139 = 37 is prime. は素数です。
32×10³+139 = 3557 is prime. は素数です。
32×10⁶+139 = 3555557 is prime. は素数です。
32×10¹²+139 = 3(5)₁₁7_<13> is prime. は素数です。
32×10³³+139 = 3(5)₃₂7_<34> is prime. は素数です。
32×10⁶⁹+139 = 3(5)₆₈7_<70> is prime. は素数です。
32×10¹¹¹+139 = 3(5)₁₁₀7_<112> is prime. は素数です。 (discovered by:発見: Makoto Kamada / PFGW / December 17, 2004 2004 年 12 月 17 日) (certified by:証明: Makoto Kamada / PFGW / January 1, 2005 2005 年 1 月 1 日)
32×10¹⁹⁶⁵+139 = 3(5)₁₉₆₄7_<1966> is prime. は素数です。 (discovered by:発見: Makoto Kamada / PFGW / December 17, 2004 2004 年 12 月 17 日) (certified by:証明: Tyler Cadigan / PRIMO 2.2.0 beta 6 / June 15, 2006 2006 年 6 月 15 日) [certificate証明]
32×10⁵⁶⁴⁶+139 = 3(5)₅₆₄₅7_<5647> is PRP. はおそらく素数です。 (Makoto Kamada / PFGW / December 21, 2004 2004 年 12 月 21 日)
32×10⁷⁴⁰⁴+139 = 3(5)₇₄₀₃7_<7405> is PRP. はおそらく素数です。 (Makoto Kamada / PFGW / December 28, 2004 2004 年 12 月 28 日)
32×10¹¹¹⁰³+139 = 3(5)₁₁₁₀₂7_<11104> is PRP. はおそらく素数です。 (Erik Branger / PFGW / June 10, 2010 2010 年 6 月 10 日)
32×10²⁰⁷⁹⁰+139 = 3(5)₂₀₇₈₉7_<20791> is PRP. はおそらく素数です。 (Erik Branger / PFGW / June 10, 2010 2010 年 6 月 10 日)
32×10²⁴⁸⁴⁰+139 = 3(5)₂₄₈₃₉7_<24841> is PRP. はおそらく素数です。 (Erik Branger / PFGW / June 10, 2010 2010 年 6 月 10 日)
32×10³⁸¹⁹⁹+139 = 3(5)₃₈₁₉₈7_<38200> is PRP. はおそらく素数です。 (Erik Branger / srsieve and PFGW / May 1, 2013 2013 年 5 月 1 日)
32×10⁹⁰⁶⁶⁹+139 = 3(5)₉₀₆₆₈7_<90670> is PRP. はおそらく素数です。 (Bob Price / PFGW / April 15, 2015 2015 年 4 月 15 日)

2.3. Range of search 捜索範囲

n≤30000 / Completed 終了
n≤50000 / Completed 終了 / Erik Branger / May 1, 2013 2013 年 5 月 1 日
n≤100000 / Completed 終了 / Bob Price / April 15, 2015 2015 年 4 月 15 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。

32×10^3k+1+139 = 37×(32×10¹+139×37+32×10×10³-19×37×k-1Σm=010^3m)
32×10^3k+2+139 = 3×(32×10²+139×3+32×10²×10³-19×3×k-1Σm=010^3m)
32×10^6k+2+139 = 7×(32×10²+139×7+32×10²×10⁶-19×7×k-1Σm=010^6m)
32×10^15k+4+139 = 31×(32×10⁴+139×31+32×10⁴×10¹⁵-19×31×k-1Σm=010^15m)
32×10^16k+2+139 = 17×(32×10²+139×17+32×10²×10¹⁶-19×17×k-1Σm=010^16m)
32×10^18k+9+139 = 19×(32×10⁹+139×19+32×10⁹×10¹⁸-19×19×k-1Σm=010^18m)
32×10^21k+17+139 = 43×(32×10¹⁷+139×43+32×10¹⁷×10²¹-19×43×k-1Σm=010^21m)
32×10^22k+5+139 = 23×(32×10⁵+139×23+32×10⁵×10²²-19×23×k-1Σm=010^22m)
32×10^28k+17+139 = 29×(32×10¹⁷+139×29+32×10¹⁷×10²⁸-19×29×k-1Σm=010^28m)
32×10^35k+26+139 = 71×(32×10²⁶+139×71+32×10²⁶×10³⁵-19×71×k-1Σm=010^35m)

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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 11.14%. 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 11.14% です。

3. Factor table of 355...557 355...557 の素因数分解表

3.2. Range of factorization 分解範囲

n≤100 / Completed 終了 / December 1, 2004 2004 年 12 月 1 日
n≤150 / Completed 終了 / November 27, 2008 2008 年 11 月 27 日
n≤200 / Completed 終了 / March 25, 2021 2021 年 3 月 25 日
n≤300 / Remaining 50 残り 50

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

n=210, 214, 215, 225, 228, 232, 233, 235, 236, 237, 238, 241, 243, 244, 245, 246, 251, 253, 255, 256, 259, 260, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 275, 278, 279, 281, 282, 283, 285, 286, 288, 290, 291, 294, 295, 297, 298, 300 (50/300)

3.4. Factor table 素因数分解表

32×10¹+139 = 37 = definitely prime number 素数

32×10²+139 = 357 = 3 × 7 × 17

32×10³+139 = 3557 = definitely prime number 素数

32×10⁴+139 = 35557 = 31² × 37

32×10⁵+139 = 355557 = 3 × 23 × 5153

32×10⁶+139 = 3555557 = definitely prime number 素数

32×10⁷+139 = 35555557 = 37 × 960961

32×10⁸+139 = 355555557 = 3² × 7 × 337 × 16747

32×10⁹+139 = 3555555557_<10> = 19 × 1753 × 106751

32×10¹⁰+139 = 35555555557_<11> = 37 × 20743 × 46327

32×10¹¹+139 = 355555555557_<12> = 3 × 727 × 163024097

32×10¹²+139 = 3555555555557_<13> = definitely prime number 素数

32×10¹³+139 = 35555555555557_<14> = 37 × 359 × 2676771479_<10>

32×10¹⁴+139 = 355555555555557_<15> = 3 × 7 × 47 × 360238658111_<12>

32×10¹⁵+139 = 3555555555555557_<16> = 12157 × 292469816201_<12>

32×10¹⁶+139 = 35555555555555557_<17> = 37 × 6803 × 141255469787_<12>

32×10¹⁷+139 = 355555555555555557_<18> = 3³ × 29 × 43 × 593899 × 17781347

32×10¹⁸+139 = 3555555555555555557_<19> = 17² × 6719 × 20849 × 87825323

32×10¹⁹+139 = 35555555555555555557_<20> = 31 × 37 × 479 × 809 × 79994479321_<11>

32×10²⁰+139 = 355555555555555555557_<21> = 3 × 7⁴ × 17419 × 2833810694501_<13>

32×10²¹+139 = 3555555555555555555557_<22> = 2039 × 2389 × 729918033170167_<15>

32×10²²+139 = 35555555555555555555557_<23> = 37 × 283 × 21792877 × 155813377471_<12>

32×10²³+139 = 355555555555555555555557_<24> = 3 × 2519063 × 22629017 × 2079129289_<10>

32×10²⁴+139 = 3555555555555555555555557_<25> = 487 × 26903 × 271379973696326437_<18>

32×10²⁵+139 = 35555555555555555555555557_<26> = 37 × 607 × 496223111 × 3190362754793_<13>

32×10²⁶+139 = 355555555555555555555555557_<27> = 3² × 7 × 71 × 176329 × 450800953712750821_<18>

32×10²⁷+139 = 3555555555555555555555555557_<28> = 19 × 23 × 8136282735825069921179761_<25>

32×10²⁸+139 = 35555555555555555555555555557_<29> = 37 × 109 × 167 × 52791350929020543919187_<23>

32×10²⁹+139 = 355555555555555555555555555557_<30> = 3 × 631 × 1217 × 102081779053_<12> × 1511882522149_<13>

32×10³⁰+139 = 3555555555555555555555555555557_<31> = 107 × 1230951287_<10> × 26994968464106579273_<20>

32×10³¹+139 = 35555555555555555555555555555557_<32> = 37 × 1589157953_<10> × 604698204572343703937_<21>

32×10³²+139 = 355555555555555555555555555555557_<33> = 3 × 7 × 23232133 × 728784435385977310689949_<24>

32×10³³+139 = 3555555555555555555555555555555557_<34> = definitely prime number 素数

32×10³⁴+139 = 35555555555555555555555555555555557_<35> = 17 × 31 × 37 × 995881 × 1090919 × 1678398864998726737_<19>

32×10³⁵+139 = 355555555555555555555555555555555557_<36> = 3² × 30713 × 4668113 × 28636018091_<11> × 9622517978687_<13>

32×10³⁶+139 = 3555555555555555555555555555555555557_<37> = 179 × 7277830036844309_<16> × 2729307878487516587_<19>

32×10³⁷+139 = 35555555555555555555555555555555555557_<38> = 37 × 34687 × 74697594551_<11> × 370879123417529962553_<21>

32×10³⁸+139 = 355555555555555555555555555555555555557_<39> = 3 × 7 × 43 × 709 × 55079 × 115409031169_<12> × 87367043898727441_<17>

32×10³⁹+139 = 3555555555555555555555555555555555555557_<40> = 95023969 × 519288992381177_<15> × 72055176427169389_<17>

32×10⁴⁰+139 = 35555555555555555555555555555555555555557_<41> = 37 × 814217897 × 230567232972683_<15> × 5118792358656811_<16>

32×10⁴¹+139 = 355555555555555555555555555555555555555557_<42> = 3 × 2390249640975121_<16> × 49584159113258129682152839_<26>

32×10⁴²+139 = 3555555555555555555555555555555555555555557_<43> = 2306757503_<10> × 1541365120057682784333640273221019_<34>

32×10⁴³+139 = 35555555555555555555555555555555555555555557_<44> = 37 × 59 × 14767 × 1102964306534337283155364699990658237_<37>

32×10⁴⁴+139 = 355555555555555555555555555555555555555555557_<45> = 3⁴ × 7 × 10091 × 92507 × 159793 × 363287219 × 442429333 × 26155548053_<11>

32×10⁴⁵+139 = 3555555555555555555555555555555555555555555557_<46> = 19 × 29 × 244597 × 146353751042221687_<18> × 180260630629364084113_<21>

32×10⁴⁶+139 = 35555555555555555555555555555555555555555555557_<47> = 37 × 59387 × 1222409251458866983_<19> × 13237248741323191670741_<23>

32×10⁴⁷+139 = 355555555555555555555555555555555555555555555557_<48> = 3 × 557 × 84761 × 493777 × 46303487 × 109796979408738562182477253_<27>

32×10⁴⁸+139 = 3555555555555555555555555555555555555555555555557_<49> = 2111 × 6113 × 1509528564787_<13> × 182525482096895501130128028377_<30>

32×10⁴⁹+139 = 35555555555555555555555555555555555555555555555557_<50> = 23 × 31 × 37 × 2022047 × 666538084300754781809262038183626246951_<39>

32×10⁵⁰+139 = 355555555555555555555555555555555555555555555555557_<51> = 3 × 7 × 17 × 347 × 404161 × 515143 × 9735691036691_<13> × 1415991964052257984631_<22>

32×10⁵¹+139 = 3(5)₅₀7_<52> = 1831 × 2078246091121542737_<19> × 934377027220202783092085828131_<30>

32×10⁵²+139 = 3(5)₅₁7_<53> = 37 × 144169 × 681127 × 9786012419901769806023185469458427896447_<40>

32×10⁵³+139 = 3(5)₅₂7_<54> = 3² × 39506172839506172839506172839506172839506172839506173_<53>

32×10⁵⁴+139 = 3(5)₅₃7_<55> = 9185420164489_<13> × 421313088419407824481_<21> × 918762986987147631773_<21>

32×10⁵⁵+139 = 3(5)₅₄7_<56> = 37 × 61 × 374669 × 157852769811058031_<18> × 266364253766256902852240878759_<30>

32×10⁵⁶+139 = 3(5)₅₅7_<57> = 3 × 7 × 3331 × 107048942834023_<15> × 2231645345866997_<16> × 21276783830787252396697_<23>

32×10⁵⁷+139 = 3(5)₅₆7_<58> = 523 × 10939 × 28051211 × 22155244274211271249466865226195351699413271_<44>

32×10⁵⁸+139 = 3(5)₅₇7_<59> = 37² × 773 × 279666103 × 4901505141048042081407_<22> × 24510672860063399360641_<23>

32×10⁵⁹+139 = 3(5)₅₈7_<60> = 3 × 43 × 269 × 366141557 × 145730035456761147710797_<24> × 192029249236537374433033_<24>

32×10⁶⁰+139 = 3(5)₅₉7_<61> = 47 × 63073 × 5690723 × 234407334099598757_<18> × 899140335287599519026714793477_<30>

32×10⁶¹+139 = 3(5)₆₀7_<62> = 37 × 71 × 13534661421985365647337478323393816351562830436069872689591_<59>

32×10⁶²+139 = 3(5)₆₁7_<63> = 3² × 7² × 47929971900143_<14> × 554549795284004850131_<21> × 30333404444573888288034769_<26>

32×10⁶³+139 = 3(5)₆₂7_<64> = 19 × 151 × 755707 × 561056537231_<12> × 2922919459475521789422659583552109188972109_<43>

32×10⁶⁴+139 = 3(5)₆₃7_<65> = 31 × 37 × 170814529658168878909824303047_<30> × 181476018101002190605139226800873_<33>

32×10⁶⁵+139 = 3(5)₆₄7_<66> = 3 × 24509960659562601918601759_<26> × 4835524632809980516527827743946695449641_<40>

32×10⁶⁶+139 = 3(5)₆₅7_<67> = 17 × 149 × 443 × 904898789 × 4367958827857227341_<19> × 801659622328682282229732867630547_<33>

32×10⁶⁷+139 = 3(5)₆₆7_<68> = 37 × 960960960960960960960960960960960960960960960960960960960960960961_<66>

32×10⁶⁸+139 = 3(5)₆₇7_<69> = 3 × 7 × 16931216931216931216931216931216931216931216931216931216931216931217_<68>

32×10⁶⁹+139 = 3(5)₆₈7_<70> = definitely prime number 素数

32×10⁷⁰+139 = 3(5)₆₉7_<71> = 37 × 11159 × 17449 × 264919 × 276455629 × 67386264203517688929541550732813267738018082221_<47>

32×10⁷¹+139 = 3(5)₇₀7_<72> = 3³ × 23 × 197 × 2906361571360713075811533350953150359707656355440754273486807389061_<67>

32×10⁷²+139 = 3(5)₇₁7_<73> = 2309 × 1179883 × 7272147461_<10> × 8997787026254867_<16> × 19945558706809239022687714405338390013_<38>

32×10⁷³+139 = 3(5)₇₂7_<74> = 29 × 37 × 82219 × 5443297 × 1415779969452825117871_<22> × 52297118661187551417419354465822999153_<38>

32×10⁷⁴+139 = 3(5)₇₃7_<75> = 3 × 7 × 2339 × 2224897 × 1010750569861_<13> × 3218874519577258957250877654315766797360096836759359_<52>

32×10⁷⁵+139 = 3(5)₇₄7_<76> = 166265157659286972260578493_<27> × 21384850594143438935301968441778603873914906155849_<50>

32×10⁷⁶+139 = 3(5)₇₅7_<77> = 37 × 431 × 2229607798053273691324735408262090396661162322415222647241208726127519631_<73>

32×10⁷⁷+139 = 3(5)₇₆7_<78> = 3 × 58109 × 59123 × 3134447 × 11005896360712604637931579292207150142871989822302881561487711_<62>

32×10⁷⁸+139 = 3(5)₇₇7_<79> = 113 × 171336466574025790353920672012234413_<36> × 183645046738498001731134592685591939366953_<42> (Makoto Kamada / msieve 0.83 for P36 x P42 / 17 minutes)

32×10⁷⁹+139 = 3(5)₇₈7_<80> = 31 × 37 × 1118734767299_<13> × 27708748831504862937830484123695499656972049420150091661123063669_<65>

32×10⁸⁰+139 = 3(5)₇₉7_<81> = 3² × 7 × 43 × 46183 × 4196764567_<10> × 540112285379_<12> × 135340262974003005757667_<24> × 9263831448157756408389442601_<28>

32×10⁸¹+139 = 3(5)₈₀7_<82> = 19 × 24103 × 76163857891640968045970677_<26> × 101937465903221628977349748796062744274634312754013_<51>

32×10⁸²+139 = 3(5)₈₁7_<83> = 17 × 37 × 11248565101026731_<17> × 2110271102136392175229_<22> × 2381340211189976321404840687155739406287567_<43>

32×10⁸³+139 = 3(5)₈₂7_<84> = 3 × 107 × 1107649705780546902042229145032883350640359986154378677743163724472135687088958117_<82>

32×10⁸⁴+139 = 3(5)₈₃7_<85> = 6234731 × 40178439568193847057844454329_<29> × 14193734675264567108346636862121385703359665715943_<50>

32×10⁸⁵+139 = 3(5)₈₄7_<86> = 37 × 97 × 4447 × 112417559 × 115595112021219400539738329117_<30> × 171432540062441560842228506675682528226093_<42> (Makoto Kamada / msieve 0.81 for P30 x P42 / 3.3 minutes)

32×10⁸⁶+139 = 3(5)₈₅7_<87> = 3 × 7 × 491 × 5953 × 1186674481511483_<16> × 30692590316026094262462484019_<29> × 159039738764828122249098504932058227_<36>

32×10⁸⁷+139 = 3(5)₈₆7_<88> = 6079 × 466723 × 27884861 × 44941507712775077138010801941155111929541983049868475300103454963752861_<71>

32×10⁸⁸+139 = 3(5)₈₇7_<89> = 37 × 11981 × 80207074614886984472161001666051328016105580582669306482009929134543106665634000581_<83>

32×10⁸⁹+139 = 3(5)₈₈7_<90> = 3² × 798059 × 659681011134234212635297_<24> × 35395239995075555786449807_<26> × 2120074465114134460078474711425593_<34>

32×10⁹⁰+139 = 3(5)₈₉7_<91> = 5231 × 49640741 × 93270761 × 302099100727752399441599_<24> × 485947710648525912400767604594847600335948209353_<48>

32×10⁹¹+139 = 3(5)₉₀7_<92> = 37 × 2971 × 13621757 × 30763813 × 771844478325628234027273474794877222862566589881971597326668588275849251_<72>

32×10⁹²+139 = 3(5)₉₁7_<93> = 3 × 7 × 397 × 729302966072299132859312207_<27> × 58477619828765649015150126989694734889503870343606578721752923_<62>

32×10⁹³+139 = 3(5)₉₂7_<94> = 23 × 20477 × 81313511 × 139858698354384173_<18> × 663836468158025747897743317878826896316135659870743982025246989_<63>

32×10⁹⁴+139 = 3(5)₉₃7_<95> = 31 × 37 × 10301714873567878920469_<23> × 33359014665726237606187040357509_<32> × 90203068440791662681212661267398439111_<38>

32×10⁹⁵+139 = 3(5)₉₄7_<96> = 3 × 43602631695748049773373256215969_<32> × 2718150577367006943343738083466130330259882994034798337490028951_<64> (Makoto Kamada / GGNFS-0.70.5 for P32 x P64 / 0.34 hours)

32×10⁹⁶+139 = 3(5)₉₅7_<97> = 71 × 57041 × 62572927081959079_<17> × 131538579592356636737997307_<27> × 106665106291995236062660397398644261082429106879_<48>

32×10⁹⁷+139 = 3(5)₉₆7_<98> = 37 × 1371674795261_<13> × 1146016461906487809752666257348040731_<37> × 611313139051421371055001149600420602110951817871_<48> (Makoto Kamada / GGNFS-0.70.5 for P37 x P48 / 0.35 hours)

32×10⁹⁸+139 = 3(5)₉₇7_<99> = 3³ × 7 × 17 × 110661548570045302071445862295535498149877234844555105993014489746515890306739979942594321679289_<96>

32×10⁹⁹+139 = 3(5)₉₈7_<100> = 19² × 1471 × 2447 × 2671 × 40477973903_<11> × 1970774589241_<13> × 5411523171389433031119621907_<28> × 2373036916832623590849291371317926071_<37>

32×10¹⁰⁰+139 = 3(5)₉₉7_<101> = 37 × 103619 × 394897 × 65072939467_<11> × 360896016626761794455634359226631542450902897971589399296371204530868229928081_<78>

32×10¹⁰¹+139 = 3(5)₁₀₀7_<102> = 3 × 29 × 43 × 59 × 29120274508106609_<17> × 780416010855680562281_<21> × 70883656723951982566854525800542967507840305482696734326307_<59>

32×10¹⁰²+139 = 3(5)₁₀₁7_<103> = 39659 × 813559 × 1349695777_<10> × 7265844936943_<13> × 11237110241732947538254830285190538952170860460592323895915756060071527_<71>

32×10¹⁰³+139 = 3(5)₁₀₂7_<104> = 37 × 1447 × 20442629 × 32486316169326080849820097008564334125329879610225126285772246876693590275936855731747103147_<92>

32×10¹⁰⁴+139 = 3(5)₁₀₃7_<105> = 3 × 7² × 131 × 4273 × 333233 × 641423359 × 8030018326099124824813_<22> × 2517541477699130652990440110245913982672851725895612072971967_<61>

32×10¹⁰⁵+139 = 3(5)₁₀₄7_<106> = 6943591 × 11775493 × 16322666212462824649542261200640023_<35> × 2664116050279468052227828533131936012933075971887327880993_<58> (Serge Batalov / Msieve-1.38 snfs for P35 x P58 / 0.50 hours on Opteron-2.6GHz; Linux x86_64 / November 26, 2008 2008 年 11 月 26 日)

32×10¹⁰⁶+139 = 3(5)₁₀₅7_<107> = 37 × 47 × 467 × 271300935552830577241_<21> × 161376285542253010297137743589837833636441256776106421033795931542699658926913629_<81>

32×10¹⁰⁷+139 = 3(5)₁₀₆7_<108> = 3² × 848868677 × 238802620593963929748934177_<27> × 194888118356224715493353351777762026261476308030109023440212914292340537_<72> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4219071836 for P27 x P72 / November 25, 2008 2008 年 11 月 25 日)

32×10¹⁰⁸+139 = 3(5)₁₀₇7_<109> = 8528674691_<10> × 1190802474377_<13> × 350095227932793116559135304074212175940688444747821935198308715094195396086713969041151_<87>

32×10¹⁰⁹+139 = 3(5)₁₀₈7_<110> = 31 × 37 × 331737761 × 2015701009141758153499_<22> × 14181499345147423720363_<23> × 3268894311272112551853431674719898748438814915016322183_<55>

32×10¹¹⁰+139 = 3(5)₁₀₉7_<111> = 3 × 7 × 9887 × 1530281 × 20230061 × 7606386568876402013092015181731_<31> × 7272385101382534798671686555514012222568303439645131667835121_<61> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2507754419 for P31 x P61 / November 25, 2008 2008 年 11 月 25 日)

32×10¹¹¹+139 = 3(5)₁₁₀7_<112> = definitely prime number 素数

32×10¹¹²+139 = 3(5)₁₁₁7_<113> = 37 × 967 × 9811 × 367309 × 275762003199668929306076143169621388254296929288941953849932915072404690501944976072422354561214017_<99>

32×10¹¹³+139 = 3(5)₁₁₂7_<114> = 3 × 367 × 8039 × 260363 × 4472974792621_<13> × 722805190445538559579755657850210987340009_<42> × 47722275212804886755544319503545804388116823209_<47> (Sinkiti Sibata / Msieve 1.38 for P42 x P47 / 0.66 hours / November 25, 2008 2008 年 11 月 25 日)

32×10¹¹⁴+139 = 3(5)₁₁₃7_<115> = 17 × 44453 × 151247 × 235091 × 2620147 × 2145320981_<10> × 23540558476532454211781057449817367488621246422135654061205085891984500877346737963_<83>

32×10¹¹⁵+139 = 3(5)₁₁₄7_<116> = 23 × 37 × 61 × 2105575033224039853769021_<25> × 16191827638552285854745213_<26> × 20090071357697330103911924680504133508080910249851167590265819_<62>

32×10¹¹⁶+139 = 3(5)₁₁₅7_<117> = 3² × 7 × 8117 × 109470911066877757_<18> × 3761234262138674905411897_<25> × 1688660160248862140118616507004911388725403708404470742978092830307923_<70>

32×10¹¹⁷+139 = 3(5)₁₁₆7_<118> = 19 × 3271 × 13454016241_<11> × 41169140127733_<14> × 103287931459166585953575919157736912711071929654581892389671270240177352854928129417333581_<90>

32×10¹¹⁸+139 = 3(5)₁₁₇7_<119> = 37 × 293 × 4373 × 66103 × 198264828121_<12> × 57225790344891959299384300995912090356120169807818551395564027601621650490980435758502336357223_<95>

32×10¹¹⁹+139 = 3(5)₁₁₈7_<120> = 3 × 207637403 × 1000206492930416143935716239_<28> × 640277981563769011474718630122289_<33> × 891296885887495874319183654447578766973756482284363_<51> (Sinkiti Sibata / Msieve 1.38 for P33 x P51 / 4.11 hours / November 25, 2008 2008 年 11 月 25 日)

32×10¹²⁰+139 = 3(5)₁₁₉7_<121> = 4937 × 12451 × 1016780899_<10> × 666585174041787950087_<21> × 750956733862170017094819057059_<30> × 113642862248618823692705891243347504507404736593836833_<54> (Serge Batalov / GMP-ECM 6.2.1 for P30 x P54 / November 25, 2008 2008 年 11 月 25 日)

32×10¹²¹+139 = 3(5)₁₂₀7_<122> = 37 × 907 × 31489 × 21710045029_<11> × 124163809506169_<15> × 2455349612967227441_<19> × 2181404631596111635815238759_<28> × 2330420358244886808108868132623654076491353_<43>

32×10¹²²+139 = 3(5)₁₂₁7_<123> = 3 × 7 × 43 × 233 × 1049 × 595455152401999_<15> × 10632231219906137_<17> × 254457255774372735877143604752135400073622140834820860001578736748291064726639724389_<84>

32×10¹²³+139 = 3(5)₁₂₂7_<124> = 563 × 543202487 × 11626187544596762212075421388090183813222786662096150942591473613647432768252780937018478681967055826800202898097_<113>

32×10¹²⁴+139 = 3(5)₁₂₃7_<125> = 31 × 37 × 111150343 × 3992206561597_<13> × 10402125562044091642484846822078823468091_<41> × 6715806088535023166394807724616174297101621140015673344377671_<61> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs for P41 x P61 / 3.20 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / November 25, 2008 2008 年 11 月 25 日)

32×10¹²⁵+139 = 3(5)₁₂₄7_<126> = 3⁶ × 47394059 × 173210208013_<12> × 10907225552921345299_<20> × 724635297397870871445034408393_<30> × 7517073097111541354849860321192729237477631645876914057_<55> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=827957417 for P30 x P55 / November 20, 2008 2008 年 11 月 20 日)

32×10¹²⁶+139 = 3(5)₁₂₅7_<127> = 380191666015952176443593_<24> × 11501538774057476031056012458627_<32> × 813109299918853671165561790980638470245413633332066936422499433992993087_<72> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs for P32 x P72 / 3.65 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / November 26, 2008 2008 年 11 月 26 日)

32×10¹²⁷+139 = 3(5)₁₂₆7_<128> = 37 × 739 × 15017 × 62929 × 8004313 × 5302033600571_<13> × 62671841151245251602847_<23> × 9715226498606423786596291_<25> × 53251932529962691658374231310095995111893427733_<47>

32×10¹²⁸+139 = 3(5)₁₂₇7_<129> = 3 × 7 × 150893 × 162676144613_<12> × 961781236053571873_<18> × 717164708586482383594609334790619609122650908246190787333207926156114358029493950777356464881_<93>

32×10¹²⁹+139 = 3(5)₁₂₈7_<130> = 29 × 3948693421_<10> × 10872822911_<11> × 67492278881_<11> × 2117741801033249374322922577_<28> × 5221131098888585986545055571783_<31> × 3826679066925574915630308200386497296933_<40> (Makoto Kamada / Msieve 1.39 for P31 x P40 / 4.3 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / November 25, 2008 2008 年 11 月 25 日)

32×10¹³⁰+139 = 3(5)₁₂₉7_<131> = 17 × 37 × 1777 × 100591304997342587_<18> × 1050271947861286918310443412512133053_<37> × 301097526163687219478040228435943897480969623432826469142619137934601839_<72> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs for P37 x P72 / 3.12 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / November 26, 2008 2008 年 11 月 26 日)

32×10¹³¹+139 = 3(5)₁₃₀7_<132> = 3 × 71 × 1669274908711528429838288993218570683359415753781950965049556598852373500260824204486176317162232655190401669274908711528429838289_<130>

32×10¹³²+139 = 3(5)₁₃₁7_<133> = 148794791 × 2833366320968183379087743_<25> × 661868311318946194599394724447_<30> × 12742229569126623063338124721065029231175785715234648227686968662772787_<71> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3096332453 for P30 x P71 / November 25, 2008 2008 年 11 月 25 日)

32×10¹³³+139 = 3(5)₁₃₂7_<134> = 37 × 28229087 × 26252902873_<11> × 1807579431701_<13> × 672131425700807858561_<21> × 3701932676318776884096888982145290362881_<40> × 288304533842512763257586489293524587911771_<42> (Serge Batalov / Msieve 1.39 for P40 x P42 / 0.21 hours / November 25, 2008 2008 年 11 月 25 日)

32×10¹³⁴+139 = 3(5)₁₃₃7_<135> = 3² × 7 × 88560727 × 2289483979_<10> × 3196374879110325254657478673654847444267746688383_<49> × 8708240782305831710840887083343494810399416878830148384579837357001_<67> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs for P49 x P67 / 6.00 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / November 26, 2008 2008 年 11 月 26 日)

32×10¹³⁵+139 = 3(5)₁₃₄7_<136> = 19 × 39503 × 1461776608879_<13> × 3240729489496444161516633671844108166119084877778159173963780037080465004806421624994285082203182279448724866984239719_<118>

32×10¹³⁶+139 = 3(5)₁₃₅7_<137> = 37 × 107 × 109 × 628583 × 45024526371791_<14> × 2911278042169526272110769536281091903274345995044343055039560650462680174913093389761125520429795209730015372599_<112>

32×10¹³⁷+139 = 3(5)₁₃₆7_<138> = 3 × 23 × 45337 × 145847851 × 159472373 × 9568191913142298047_<19> × 88546528817072023971206079968369863534097279_<44> × 5767912849452179312919971545551350229311180122030031_<52> (Sinkiti Sibata / Msieve 1.38 for P44 x P52 / 4.64 hours / November 26, 2008 2008 年 11 月 26 日)

32×10¹³⁸+139 = 3(5)₁₃₇7_<139> = 151 × 239070938762608352011_<21> × 38286075216383022257640191847520543_<35> × 2572544443884594548631930409137038593963600087065351749783286536175566198407004759_<82> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs for P35 x P82 / 11.96 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / November 27, 2008 2008 年 11 月 27 日)

32×10¹³⁹+139 = 3(5)₁₃₈7_<140> = 31 × 37 × 6594131 × 6628609789_<10> × 709192324228868110589216062352719703005993831871805548915409778498150946872012212318680590613156827363690957812342567209_<120>

32×10¹⁴⁰+139 = 3(5)₁₃₉7_<141> = 3 × 7 × 265022280032272883_<18> × 63886013391610491696801258939865707565840226396182067386008909982097164918064485118702214403408269123391517672700913742699_<122>

32×10¹⁴¹+139 = 3(5)₁₄₀7_<142> = 877 × 2719 × 5657 × 6131 × 48383 × 582048371 × 239926927727219_<15> × 53003577516391170871_<20> × 120045289986438666379760004809008575174773965023325566101558275881987839155699381_<81>

32×10¹⁴²+139 = 3(5)₁₄₁7_<143> = 37 × 745173375619250885296303_<24> × 1289580374718014008828606667248916084920809897102347080708946237798234308534817171728770037889412249332860483501574287_<118>

32×10¹⁴³+139 = 3(5)₁₄₂7_<144> = 3² × 43 × 136300339079_<12> × 129540884783737232563732791036117978164375414441872727_<54> × 52034658491669865443373273867237919313125763903812941156376897881115098465367_<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs for P54 x P77 / 17.48 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / November 27, 2008 2008 年 11 月 27 日)

32×10¹⁴⁴+139 = 3(5)₁₄₃7_<145> = 1562829649_<10> × 21343091280175666099265930659020264876344915006263847_<53> × 106595410233811335107263401150127469936167809467849002202851268941550486159081360419_<84> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs for P53 x P84 / 14.18 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / November 27, 2008 2008 年 11 月 27 日)

32×10¹⁴⁵+139 = 3(5)₁₄₄7_<146> = 37 × 3197004779_<10> × 254681218216645409818996342939_<30> × 5229918696886448659761231433046467_<34> × 225668323907862446214856345291670054173175166345927281111241519005977043_<72> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=905853048 for P30 / November 25, 2008 2008 年 11 月 25 日) (Robert Backstrom / GMP-ECM 6.0.1 B1=882000, sigma=923708382 for P34 x P72 / November 26, 2008 2008 年 11 月 26 日)

32×10¹⁴⁶+139 = 3(5)₁₄₅7_<147> = 3 × 7² × 17 × 1820431 × 22425343843153_<14> × 17453941417017343831_<20> × 226801277953477922643528971_<27> × 880417909233717434668237451510265438831431054049984141845779255840212073383101_<78>

32×10¹⁴⁷+139 = 3(5)₁₄₆7_<148> = 577 × 3003359 × 455596076143783_<15> × 72519105901762960424586887146043201269_<38> × 237393285754289721684399278650422527285701_<42> × 261591459190022276610663797779771133402539237_<45> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs for P38 x P42 x P45 / 19.05 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / November 27, 2008 2008 年 11 月 27 日)

32×10¹⁴⁸+139 = 3(5)₁₄₇7_<149> = 37 × 1015690043_<10> × 21788482138371211_<17> × 331676232498798305313287633537_<30> × 94903203682704040124208587387626991143_<38> × 1379502043103630182118926944969415246125508853045791327_<55> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1788152846 for P30 / November 25, 2008 2008 年 11 月 25 日) (Erik Branger / Msieve for P38 x P55 / 1.65 hours / November 26, 2008 2008 年 11 月 26 日)

32×10¹⁴⁹+139 = 3(5)₁₄₈7_<150> = 3 × 9234772121_<10> × 100360203094699379549_<21> × 25145039467698927171165751342183_<32> × 3767430535319777861990133738332443_<34> × 1349897908339817126731715201675741182458631650813620119_<55> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2310493951 for P32, B1=3000000, sigma=169416394 for P34 x P55 / November 25, 2008 2008 年 11 月 25 日)

32×10¹⁵⁰+139 = 3(5)₁₄₉7_<151> = 34178423 × 2431428001729590940164509177974037642037881794664501_<52> × 42785246111212653779850385352873604265492028686791920253084903971196032603178702127108172759_<92> (Serge Batalov / Msieve-1.38 snfs for P52 x P92 / 10.00 hours on Opteron-2.6GHz; Linux x86_64 / November 26, 2008 2008 年 11 月 26 日)

32×10¹⁵¹+139 = 3(5)₁₅₀7_<152> = 37 × 2137 × 10781 × 158906947 × 35286918260832971119796069080905050350002961841266080149_<56> × 7438503322170209816946556791363220387621438800981627959820246469138811695379971_<79> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.38 snfs for P56 x P79 / 12.47 hours, 0.5 hours / November 28, 2008 2008 年 11 月 28 日)

32×10¹⁵²+139 = 3(5)₁₅₁7_<153> = 3³ × 7 × 47 × 8309496860663_<13> × 21008929792957_<14> × 229281571079248931414550499513755649649272032053890591337284731591423676672451541654326028078411993583869581842479758172869_<123>

32×10¹⁵³+139 = 3(5)₁₅₂7_<154> = 19 × 218143 × 70572269 × 403967241451444975239778660111155267040127_<42> × 30090704578648225872257958579041618055553664570878690395590884572436070064354330906165968391395267_<98> (Serge Batalov / Msieve-1.38 snfs for P42 x P98 / 13.00 hours on Opteron-2.6GHz; Linux x86_64 / November 26, 2008 2008 年 11 月 26 日)

32×10¹⁵⁴+139 = 3(5)₁₅₃7_<155> = 31 × 37 × 541 × 228061 × 4020946409_<10> × 720899192659782221_<18> × 3614234560001465833_<19> × 15374286237491500049_<20> × 30794244633632330600930069_<26> × 50653806282134064200518766956097087650760170864510423_<53>

32×10¹⁵⁵+139 = 3(5)₁₅₄7_<156> = 3 × 9745711663_<10> × 836420183209442561075511309839_<30> × 23094872044969571779279121773911112181383_<41> × 629553425817664516608346615262883641525165764299729025538826136158686426449_<75> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3636140472 for P30 / November 25, 2008 2008 年 11 月 25 日) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs for P41 x P75 / 25.53 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / November 28, 2008 2008 年 11 月 28 日)

32×10¹⁵⁶+139 = 3(5)₁₅₅7_<157> = 129089 × 183581 × 1848713 × 22616114641_<11> × 31468013912637413563_<20> × 114033820694517816759068974650952917790900160156875680504311669470616600844171399946025286396797510378976585187_<111>

32×10¹⁵⁷+139 = 3(5)₁₅₆7_<158> = 29 × 37 × 4001 × 10345641860816323_<17> × 1998968244836228509_<19> × 1037983176934327212428494372699_<31> × 1730927190715608520160070713867_<31> × 222898294402775465729776596045681470561860226927431308539_<57> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3343883543 for P31(1730...) / November 21, 2008 2008 年 11 月 21 日) (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1740884508 for P31(1037...) x P57 / November 25, 2008 2008 年 11 月 25 日)

32×10¹⁵⁸+139 = 3(5)₁₅₇7_<159> = 3 × 7 × 4889 × 6761 × 1812937883_<10> × 5326454155007_<13> × 29917160077671362567875821596807351_<35> × 6043839649643906935863300584811449219393_<40> × 293361275238573998016222754474394638893197836210505131_<54> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2227927754 for P35 / November 25, 2008 2008 年 11 月 25 日) (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp gnfs for P40 x P54 / 6.60 hours / November 26, 2008 2008 年 11 月 26 日)

32×10¹⁵⁹+139 = 3(5)₁₅₈7_<160> = 23 × 59 × 489677 × 1232966069094936177518596294215111397980392397178880244356891_<61> × 4339770769793435292184566514528285478018485043899804024027687412872122711201864678555927143_<91> (Serge Batalov / Msieve-1.38 snfs for P61 x P91 / 22.00 hours on Opteron-2.8GHz; Linux x86_64 / November 26, 2008 2008 年 11 月 26 日)

32×10¹⁶⁰+139 = 3(5)₁₅₉7_<161> = 37 × 823969 × 1166258634682810835068990412213276180245811384846955359923687615627482297223513215862442593059885700749616746456433386402839137104625247989864862587015969_<154>

32×10¹⁶¹+139 = 3(5)₁₆₀7_<162> = 3² × 193 × 250329772129093_<15> × 647902646947921_<15> × 1262075662999351398019536721019579213022693714431552802633089978284982487648909340534327882689244646039061580073196841177580788937_<130>

32×10¹⁶²+139 = 3(5)₁₆₁7_<163> = 17 × 229 × 237581 × 700439221789752184774039_<24> × 5488338666380593622062414728279666159424370335549540203587402481019288911876475689232851616345394416577339284964030479050715878611_<130>

32×10¹⁶³+139 = 3(5)₁₆₂7_<164> = 37 × 283 × 2633 × 83299 × 1564701070684189_<16> × 9894578142265688205758302288390713644286854566044693912512811181305518717286270013282671899153357316514556298471866766918361358218481309_<136>

32×10¹⁶⁴+139 = 3(5)₁₆₃7_<165> = 3 × 7 × 43 × 1001485577_<10> × 6949169419_<10> × 603730695926738492922339797_<27> × 135668168107915602062507621783920751448705463501108031083_<57> × 690750012084541731056403382306042079849402924714875383489863_<60> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 gnfs for P57 x P60 / 32.16 hours, 1.22 hours / December 4, 2008 2008 年 12 月 4 日)

32×10¹⁶⁵+139 = 3(5)₁₆₄7_<166> = 458981 × 630263 × 18681192180063273540908440345016705640959411_<44> × 657940106077601764355434130314334771812300887403075420900850959415178524121749594369791636050706233899226953629_<111> (Erik Branger / GGNFS, Msieve snfs for P44 x P111 / 38.75 hours / February 24, 2009 2009 年 2 月 24 日)

32×10¹⁶⁶+139 = 3(5)₁₆₅7_<167> = 37 × 71 × 1061 × 522009982599416239_<18> × 245652995118526324744360953023587_<33> × 99478938010092014586431984516395488503049535368699230296313702892077298924404182342090564617201312578520899767_<110> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3389241046 for P33 x P110 / November 25, 2008 2008 年 11 月 25 日)

32×10¹⁶⁷+139 = 3(5)₁₆₆7_<168> = 3 × 119293 × 4322911474401221003739959855382863867332867253351618140261790579201053693_<73> × 229823752646895330304729197086763575243943550018744050858962781324833714898204771186252031_<90> (Erik Branger / GGNFS, Msieve snfs for P73 x P90 / 84.94 hours / December 5, 2008 2008 年 12 月 5 日)

32×10¹⁶⁸+139 = 3(5)₁₆₇7_<169> = 2293 × 34830569746839257317899826291328772117731947319522284446012964814699_<68> × 44518737073861990630104024619714585669202122565337947057601576528643764758484259563116570090807251_<98> (Serge Batalov / Msieve-1.38 snfs for P68 x P98 / 60.00 hours on Opteron-2.6GHz; Linux x86_64 / November 27, 2008 2008 年 11 月 27 日)

32×10¹⁶⁹+139 = 3(5)₁₆₈7_<170> = 31 × 37² × 197 × 647 × 6581 × 5064601914373430809_<19> × 2662996647046263982196858217327530760359601577131613151314289971_<64> × 74056638451825662200473333254579946422969866696922537212821981772723385623_<74> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P64 x P74 / 30.05 hours on Core 2 Quad Q6700 / August 23, 2009 2009 年 8 月 23 日)

32×10¹⁷⁰+139 = 3(5)₁₆₉7_<171> = 3² × 7 × 5540993 × 79463930140396661143010131997_<29> × 12984208595306517726286012309466401_<35> × 987174192828764409699802414185584254672009061795451677369777853855095127393439210182651571314227959_<99> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2815647174 for P35 / November 25, 2008 2008 年 11 月 25 日) (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4231249235 for P29 x P99 / November 26, 2008 2008 年 11 月 26 日)

32×10¹⁷¹+139 = 3(5)₁₇₀7_<172> = 19 × 4457 × 149861620918788710011_<21> × 27384734724257653571267_<23> × 10230863018188666376382586014471029186177164675514826746253149531425055270721186925338299294015359857698943850517482303013567_<125>

32×10¹⁷²+139 = 3(5)₁₇₁7_<173> = 37 × 2987983 × 15505397 × 3223320654117369921102155773727518551111001831_<46> × 6434891389908080526697096790304309578136358069732443055338000019495154297132988986043062674697587170436074188981_<112> (Serge Batalov / Msieve-1.38 snfs for P46 x P112 / 52.00 hours on Opteron-2.6GHz; Linux x86_64 / November 28, 2008 2008 年 11 月 28 日)

32×10¹⁷³+139 = 3(5)₁₇₂7_<174> = 3 × 20170899734780180605432917699179_<32> × 5875717993588554977293186482528630645358419620136492985080567368462781719472743017777499374377243234427630280656230493680097482599125295543461_<142> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1093203459 for P32 x P142 / November 21, 2008 2008 年 11 月 21 日)

32×10¹⁷⁴+139 = 3(5)₁₇₃7_<175> = 1402112125008809124077_<22> × 7218250131058930812761983182086627617_<37> × 2377625048272905542186657421759013456722906179_<46> × 147757464178491245681181673564825541912851222637419421638880248312859987_<72> (Wataru Sakai / GMP-ECM 6.2.3 B1=3000000, sigma=2777718566 for P46, B1=3000000, sigma=156720270 for P37 x P72 / May 24, 2010 2010 年 5 月 24 日)

32×10¹⁷⁵+139 = 3(5)₁₇₄7_<176> = 37 × 61 × 627318911 × 4695758299_<10> × 39667425968510251_<17> × 134817967452339394058110251447932588342915672110488290623146517142438695589504953042048389372916752450553966645921550313472487809493083859_<138>

32×10¹⁷⁶+139 = 3(5)₁₇₅7_<177> = 3 × 7 × 9925220777_<10> × 2226740461727_<13> × 12954658312101283688035155697_<29> × 670617771284617422568164672853882771_<36> × 88181478626904046575951572845551494672796981698068302152918697596211551701623415862806429_<89> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=447520435 for P36 x P89 / November 25, 2008 2008 年 11 月 25 日)

32×10¹⁷⁷+139 = 3(5)₁₇₆7_<178> = 181 × 7164413380005004625741177381_<28> × 2741878825757689891560878888932549876026482500161858514473138381550114394357677428054181358950055109012813195809125570455478301682357664142662035037_<148>

32×10¹⁷⁸+139 = 3(5)₁₇₇7_<179> = 17 × 37 × 3343 × 40928581 × 409161669677487237064774513669226521582425072673_<48> × 1009715020382460668428323254319123278713204567394962478592323473890624936272375753837832988468181869120689535584808787_<118> (Wataru Sakai / for P48 x P118 / June 2, 2012 2012 年 6 月 2 日)

32×10¹⁷⁹+139 = 3(5)₁₇₈7_<180> = 3³ × 839 × 1558920708391_<13> × 12339874975459_<14> × 87210860042526019_<17> × 17117103262369892787457771272063767419279992087469_<50> × 546570412285095645450193651557536991354100388908801578378967558621657451929558519091_<84> (Robert Backstrom / Msieve 1.44 gnfs for P50 x P84 / April 18, 2012 2012 年 4 月 18 日)

32×10¹⁸⁰+139 = 3(5)₁₇₉7_<181> = 223 × 66838367 × 215691323 × 1410427861_<10> × 137500480012722770767470659167213_<33> × 5702811390235826717155681762068328687558268063105914716936229623939851875640468081237435572717003838827667299268240222543_<121> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2341133556 for P33 x P121 / November 21, 2008 2008 年 11 月 21 日)

32×10¹⁸¹+139 = 3(5)₁₈₀7_<182> = 23² × 37 × 97 × 187800281843242246319283489339418659405151754020076889041478011149_<66> × 99719960730962349469939681299619260059373306342828270295826680925337086911707248717062806086045272017174413653_<110> (Ignacio Santos / GGNFS, Msieve snfs for P66 x P110 / 137.88 hours / April 29, 2009 2009 年 4 月 29 日)

32×10¹⁸²+139 = 3(5)₁₈₁7_<183> = 3 × 7 × 119272784359687867102596536305441_<33> × 446407801133454851186438556013339_<33> × 1405966092060962307412995670286535045674945591_<46> × 226172706004513332131363368311997666781452261647202258092162900092994613_<72> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1579482682 for P33(1192...) / November 21, 2008 2008 年 11 月 21 日) (Ignacio Santos / GMP-ECM 6.3 B1=3000000, sigma=2622443159 for P33(4464...) / October 18, 2010 2010 年 10 月 18 日) (Erik Branger / GGNFS, Msieve gnfs for P46 x P72 / October 25, 2010 2010 年 10 月 25 日)

32×10¹⁸³+139 = 3(5)₁₈₂7_<184> = 127858919 × 3407650828179201039089677790497991200069414444766578355269579_<61> × 8160586133683459731044028237051706967472983928184380281106013951801265631140276413237571460069284447886256523144857_<115> (Wataru Sakai / for P61 x P115 / July 25, 2010 2010 年 7 月 25 日)

32×10¹⁸⁴+139 = 3(5)₁₈₃7_<185> = 31 × 37 × 1229 × 1760659 × 101432096060657058065222255498949957507453802154379961_<54> × 141234734189638733570295829369093427287546040620163505013367591471324169107555593461029528275246114925958624338385187361_<120> (Robert Backstrom / Msieve 1.44 snfs for P54 x P120 / February 21, 2012 2012 年 2 月 21 日)

32×10¹⁸⁵+139 = 3(5)₁₈₄7_<186> = 3 × 29 × 43 × 168832608157_<12> × 290495865583715280417753050377727_<33> × 455329871481171159028867514049883266753571779750869972753_<57> × 4255957991619243180292325921704045417653076440585789803244547140118508580015123731_<82> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3377039204 for P33 / November 25, 2008 2008 年 11 月 25 日) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P57 x P82 / October 26, 2014 2014 年 10 月 26 日)

32×10¹⁸⁶+139 = 3(5)₁₈₅7_<187> = 1291 × 3067 × 2293302374288701528937133795470574499840531132369_<49> × 70525073308130778498014143884011440648986067685692661_<53> × 5552167807801528667600114917132001375955299257942469770853157116662952211029209_<79> (Wataru Sakai / for P49 x P53 x P79 / June 21, 2010 2010 年 6 月 21 日)

32×10¹⁸⁷+139 = 3(5)₁₈₆7_<188> = 37 × 960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960961_<186>

32×10¹⁸⁸+139 = 3(5)₁₈₇7_<189> = 3² × 7² × 12781 × 44159 × 280293461255617_<15> × 664908763674758653_<18> × 2104711932700746367_<19> × 76605415579310284577_<20> × 47539833308804035824187276040645338566026203996678145277848195757384918089706952186975686704710322229374357_<107>

32×10¹⁸⁹+139 = 3(5)₁₈₈7_<190> = 19 × 107 × 843460198256475257121613143362568122851_<39> × 2073506955858448830349465499436664370903520495707406284060409753621333767261713347013056871399165319114052676049692680217196117332798366844122275079_<148> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3643605157 for P39 x P148 / November 27, 2008 2008 年 11 月 27 日)

32×10¹⁹⁰+139 = 3(5)₁₈₉7_<191> = 37 × 113 × 485964719904233782920111577_<27> × 699056118054564041970473612040807401_<36> × 1795349962813320861197581423566774977479668793547883124208887_<61> × 13943166127859977160011055787647917241700874497326684411173482103_<65> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4191816949 for P36 / November 25, 2008 2008 年 11 月 25 日) (Sinkiti Sibata / Msieve 1.42 gnfs for P61 x P65 / 70 hours / January 25, 2010 2010 年 1 月 25 日)

32×10¹⁹¹+139 = 3(5)₁₉₀7_<192> = 3 × 397 × 11399 × 9912175103_<10> × 1107141154793_<13> × 34670318910569_<14> × 2487293749934501_<16> × 6876334367075809644387659601569_<31> × 29910520760937869999189622935359_<32> × 134552297455318840469145844020671821216847923472351025231267535414587713_<72> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1720334216 for P31 / November 22, 2008 2008 年 11 月 22 日) (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3521872813 for P32 x P72 / November 25, 2008 2008 年 11 月 25 日)

32×10¹⁹²+139 = 3(5)₁₉₁7_<193> = 359 × 3010153 × 93662867 × 12935906153897401_<17> × 11016337291514775258094510158571529329396777792873406449486463_<62> × 246503404560588855025592856289234440359457840830334112404373513013545399335905315474274536278093471_<99> (Eric Jeancolas / cado-nfs-3.0.0 for P62 x P99 / December 18, 2020 2020 年 12 月 18 日)

32×10¹⁹³+139 = 3(5)₁₉₂7_<194> = 37 × 1862884511_<10> × 60972738884018453399_<20> × 8460267776882458274878285818121715854593360906889994127454090569316078313302948247088179712332485872315013357162102235527972476197852474871897460112771164519374649_<163>

32×10¹⁹⁴+139 = 3(5)₁₉₃7_<195> = 3 × 7 × 17 × 167 × 166186338707_<12> × 494623864127202459693037_<24> × 3118053696717644861370191005951739_<34> × 19474818079230790147783809942972607846336609_<44> × 1194800501768501725770690816539500998982141406904802206750689178224457211794067_<79> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1328350287 for P34 / November 22, 2008 2008 年 11 月 22 日) (Ignacio Santos / GGNFS, Msieve gnfs for P44 x P79 / 50.89 hours / April 18, 2009 2009 年 4 月 18 日)

32×10¹⁹⁵+139 = 3(5)₁₉₄7_<196> = 187627812661_<12> × 175263795671231_<15> × 1736192575744405481_<19> × 62275919060793446379745168052463341710843914977032069528355682420453468055043694045832383433666404884351956173756565585565394645841574253647342996667767_<152>

32×10¹⁹⁶+139 = 3(5)₁₉₅7_<197> = 37 × 25875341 × 3692458839493046452095757166946695360993009_<43> × 10057823267390565302051858298385852216117002420791651632239164774486598424021825588539077051780684572435379872787938244761803938963759354528438869_<146> (matsui / Msieve 1.49 snfs for P43 x P146 / May 19, 2011 2011 年 5 月 19 日)

32×10¹⁹⁷+139 = 3(5)₁₉₆7_<198> = 3² × 14293 × 239752243174831822512150943_<27> × 50792291145661069220104202625664115891719639079_<47> × 226976598340632053380381527693339093405739643940518484083984974171830146072615663592613854287623165625446211340324828113_<120> (Bob Backstrom / Msieve 1.54 snfs for P47 x P120 / March 25, 2021 2021 年 3 月 25 日)

32×10¹⁹⁸+139 = 3(5)₁₉₇7_<199> = 47 × 185907697 × 297755611249978741_<18> × 31098006571964489036498370319788974837_<38> × 31356359725168394312272283780331184238076593_<44> × 1401503208516593832740660755434681713432558012472463613522671343039193542300002943002480483_<91> (Domanov Dmitry / GMP-ECM B1=3000000, sigma=1423644086 for P38 / August 3, 2012 2012 年 8 月 3 日) (Erik Branger / GGNFS, Msieve gnfs for P44 x P91 / August 29, 2012 2012 年 8 月 29 日)

32×10¹⁹⁹+139 = 3(5)₁₉₈7_<200> = 31 × 37 × 517881899401_<12> × 46691096189301798353581801836283441610803966633_<47> × 1281974092611375474597652223464537069923374185628128847604696594548718060859420046165112878196667668850670180763269621782693436639797643407_<139> (Robert Backstrom / GGNFS-0.77.1-20060513-nocona, Msieve 1.44 snfs for P47 x P139 / September 18, 2012 2012 年 9 月 18 日)

32×10²⁰⁰+139 = 3(5)₁₉₉7_<201> = 3 × 7 × 132726764057848665097_<21> × 127564452063620702386901502259191354150795595339833916134762622654878133993953071472852671689966450168274795172289057021151432143984850619861649835607138688343285046012380568709961_<180>

32×10²⁰¹+139 = 3(5)₂₀₀7_<202> = 71 × 64499300335345945772569335465848633_<35> × 776415356460893542572148430011329803890783961378327293176367619348587721447168535503721077213200924311601722917814388070780548658836862919766647808745906924624959499_<165> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2420471301 for P35 x P165 / November 27, 2008 2008 年 11 月 27 日)

32×10²⁰²+139 = 3(5)₂₀₁7_<203> = 37 × 89434871 × 1665367941703624189246283_<25> × 6451915333862159275766274838683890736143541160914192177702899777292593178184819272766189872932796086840669669994551980676263448741135512328470334527908704089564755185077_<169>

32×10²⁰³+139 = 3(5)₂₀₂7_<204> = 3 × 23 × 12301 × 1401869067619619313927585702244045756086310377612979_<52> × 298820581501461026704131253770093190820544766267321986737862464854500390973795749221887512851019869829418499867646928953697097271817750116760585607_<147> (Robert Backstrom / Msieve 1.42 snfs for P52 x P147 / May 1, 2010 2010 年 5 月 1 日)

32×10²⁰⁴+139 = 3(5)₂₀₃7_<205> = 12659327 × 648689445026641096328796227319722050994527611558724094037576117274274000955011_<78> × 432972206862676828361829439719264273114887762602354096762830002026827264979521188656908530133203523286172816410002716681_<120> (Lionel Debroux / ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux + Jeff Gilchrist) for P78 x P120 / January 11, 2010 2010 年 1 月 11 日)

32×10²⁰⁵+139 = 3(5)₂₀₄7_<206> = 37 × 967379807683_<12> × 1184417920426891_<16> × 795593320256493401773149644687597_<33> × 523543438969426161642554706724547076253559125346249_<51> × 2013538358755604989175086781461802433222124306874954367100349986369529759283778641199459395229_<94> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3026039895 for P33 / November 25, 2008 2008 年 11 月 25 日) (Wataru Sakai / GMP-ECM 6.2.1 B1=110000000, sigma=3446144840 for P51 x P94 / June 15, 2009 2009 年 6 月 15 日)

32×10²⁰⁶+139 = 3(5)₂₀₅7_<207> = 3⁴ × 7 × 43 × 166286605660291_<15> × 8957519447425888512272215093196017332478730368970785530032011248696624374088125575057_<85> × 9790636492657303899202963654183867417124118481565502839536836555956311722630683604127797724995497600531_<103> (Bob Backstrom / Msieve 1.54 snfs for P85 x P103 / August 23, 2021 2021 年 8 月 23 日)

32×10²⁰⁷+139 = 3(5)₂₀₆7_<208> = 19 × 20857 × 73819 × 2302689859_<10> × 106768610407_<12> × 23501516903198017_<17> × 2357983469511794233450244318221761112072697644287394377653101877_<64> × 8921095315297281749116334613271390915373060733764550927589124035921587687422714657683028945121973_<97> (Bob Backstrom / YAFU, GMP-ECM B1=2000, sigma=1353165439 for P64 x P97 / December 15, 2024 2024 年 12 月 15 日)

32×10²⁰⁸+139 = 3(5)₂₀₇7_<209> = 37 × 16645164964199_<14> × 44868734405401_<14> × 1286689691117537101623819103915647768986992693871323613054211662376321470422447434142809699661552390772521184625498409057791781327139494021637948998966673733374829934586648684712239_<181>

32×10²⁰⁹+139 = 3(5)₂₀₈7_<210> = 3 × 16415137 × 1474697689_<10> × 4895969490448886831214746209500810551089001482494539729367847256009356201787978718368252292259189159835093283638744862512240112995641460930185348491958833145415762004038991068612099805309318383_<193>

32×10²¹⁰+139 = 3(5)₂₀₉7_<211> = 17 × 126271 × 13707200288417_<14> × [120838734645965528183489354634613526838503168592270081768229875102553132832295010971797306590511830850378083975209534307396406428176675968892931650298475526673578319017309795052341308888553803_<192>] Free to factor

32×10²¹¹+139 = 3(5)₂₁₀7_<212> = 37 × 1619 × 5401836228131210662909_<22> × 239538859072920802215209_<24> × 13428754501241859741620799542996106194999_<41> × 34159049047930175920609156047741258358029367673032796132774182103691906046095531370597850879740998399873764071130721050201_<122> (Serge Batalov / GMP-ECM B1=11000000, sigma=2660805137 for P41 x P122 / May 19, 2014 2014 年 5 月 19 日)

32×10²¹²+139 = 3(5)₂₁₁7_<213> = 3 × 7 × 50891 × 1413045665309_<13> × 3512170357723339285403332676560494731_<37> × 67037130938413940086767431847859192696257244185427497665156465340034389272094988556521185075431068174799524340933134201695142162681793945868110793693745687853_<158> (Serge Batalov / GMP-ECM B1=2000000, sigma=4101928806 for P37 x P158 / August 1, 2012 2012 年 8 月 1 日)

32×10²¹³+139 = 3(5)₂₁₂7_<214> = 29 × 151 × 7717 × 20101 × 395273 × 145943183 × 3670127785949_<13> × 716975320958789_<15> × 125936247855534019_<18> × 7526014019750103596083_<22> × 536181075216244678355311148618921889838993_<42> × 67853577333831952936492395174366042961925157085721890463227069593365915781489241_<80> (Warut Roonguthai / GMP-ECM 6.3 B1=3000000, sigma=1199922050 for P42 x P80 / August 1, 2012 2012 年 8 月 1 日)

32×10²¹⁴+139 = 3(5)₂₁₃7_<215> = 31 × 37 × 149 × 179 × 5309 × 9845161 × 188883059 × 2678917674926243_<16> × [43945744697799890706523427590257447236602804294650728464658462478957009638379532247649207645154370622644982942020638673264006604484582844219211102086475591395827033155417797_<173>] Free to factor

32×10²¹⁵+139 = 3(5)₂₁₄7_<216> = 3² × 29207 × 16384603394633_<14> × 114749737066559579980725853_<27> × [719433035752147715378735787409684851788024416038018410574524505353154702904359219480841314321415968223530314325264885247845715961850554001019563502991726429238678752396111_<171>] Free to factor

32×10²¹⁶+139 = 3(5)₂₁₅7_<217> = 659 × 54331 × 71671 × 1385577721006041032466277239303897338369028876074324653025304777244072493244568137985005896205293416441220704322920478851905008555178668411440868819764157393149514214195656301402757536176709877223553812323_<205>

32×10²¹⁷+139 = 3(5)₂₁₆7_<218> = 37 × 59 × 1248958592625030083_<19> × 9055509371687018857_<19> × 5776254321816019300949_<22> × 6892158694742270873389649_<25> × 2922846664505012680842447305370769845440676976644074645671139_<61> × 12376139643601874678036252497273061701923033042722180553763231205237831_<71> (Pawel Apostol / GGNFS-0.77.1-VC8 for P61 x P71 / August 31, 2012 2012 年 8 月 31 日)

32×10²¹⁸+139 = 3(5)₂₁₇7_<219> = 3 × 7 × 13421 × 7562141 × 16361135321421881_<17> × 10196358351683664980429246503374915220824559660955295125794312390345853157961353984663823564756243135691997117864423340599172126319484438921136126103161669231435524027859973600144131317020737_<191>

32×10²¹⁹+139 = 3(5)₂₁₈7_<220> = 3923 × 4969 × 4615733482402358330134878165465286241_<37> × 39516588067974307606828840597388398718209113287535408619160278682174277120045971513722211421201676872898684063818937572303651179463728095057110544516699187155394089131316525871_<176> (Domanov Dmitry / GMP-ECM B1=3000000, sigma=837073866 for P37 x P176 / August 3, 2012 2012 年 8 月 3 日)

32×10²²⁰+139 = 3(5)₂₁₉7_<221> = 37 × 433 × 566131202814645801333449411_<27> × 3920132590517785728729023245866001203452123667293515412111587909236109241953187531670598612905754545521493849294605348057877576754918139138122979315179121954466914216479307160353662238337947_<190>

32×10²²¹+139 = 3(5)₂₂₀7_<222> = 3 × 263 × 809 × 108118841 × 167515903 × 38633507757589767489545640988928442757157046877_<47> × 352522345021970119722403789810401360927858545732521124412204512437_<66> × 2258258883290901945976651861127995915598887427191171850236259382560013591587089504698191_<88> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P47 x P66 x P88 / August 7, 2021 2021 年 8 月 7 日)

32×10²²²+139 = 3(5)₂₂₁7_<223> = 2753 × 1017353 × 11579209244910022433_<20> × 109635369689358776864055503878802003362200453254114482649839118693803746247013573056668098779462654637566903631685521452651344424401444839423523940110260686277092202310849666601915656539363687581_<195>

32×10²²³+139 = 3(5)₂₂₂7_<224> = 37 × 347 × 136421 × 67182133 × 185128066621_<12> × 2201286614385121469360543264699_<31> × 176507613232230631748667594288721_<33> × 4200770468969732230078273696449017521159211823766371970960633953909340537285157397570121169866861657102417838689763020858710511750949_<133> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=1016591643 for P31 / July 28, 2012 2012 年 7 月 28 日) (Domanov Dmitry / GMP-ECM B1=3000000, sigma=3255573293 for P33 x P133 / August 2, 2012 2012 年 8 月 2 日)

32×10²²⁴+139 = 3(5)₂₂₃7_<225> = 3² × 7 × 3874869184049443588970147_<25> × 1456497938125050241761972575345946936273754373853768854557682346018836888959020483606675041924667704379446590559637644990512283834528810102624197998648608565001878904535116636086624128897130349528937_<199>

32×10²²⁵+139 = 3(5)₂₂₄7_<226> = 19 × 23 × 747223 × 24325432184869_<14> × 2703565441095432282376783_<25> × [165568742092826288083230285878331283835802487905887719674903904206252919460044238534226584385541257907572402160526370650710480190020989573386523647043523458907967339134610738584741_<180>] Free to factor

32×10²²⁶+139 = 3(5)₂₂₅7_<227> = 17 × 37 × 1121118967_<10> × 10631670534426911107553_<23> × 4742459313558552454164664892349308661584699664681181380978211340005324442718661556129383522822999043387378478241041517205937010053659685184790765749847580879484664569461968177169802102500452983_<193>

32×10²²⁷+139 = 3(5)₂₂₆7_<228> = 3 × 43 × 607 × 46259479888161667_<17> × 75685750115382164399_<20> × 22634372802442170918607_<23> × 57298827840276928918712624120886617599532215523584923915143433254710090076678507163576890162594412936823581676072403374032486286382526028811805948775427869919407849_<164>

32×10²²⁸+139 = 3(5)₂₂₇7_<229> = 4999 × 5919025558141071227011_<22> × [120163928132596877678141368278118062213406388466708981916191849789057230589348176682437470689759810643969654409844505906517851377671704204941256041841331979365337638266557076382138486662307169640542055313_<204>] Free to factor

32×10²²⁹+139 = 3(5)₂₂₈7_<230> = 31 × 37 × 2133821 × 25828835629600690685473_<23> × 562446524551801033353581323770098279658114551670806241875274857691562788481586239536730719572343200660431991180887315847940994873307741017630151461944555368568471744070945711469064138846007470148907_<198>

32×10²³⁰+139 = 3(5)₂₂₉7_<231> = 3 × 7² × 419 × 296897403097409430630233_<24> × 75679525431059502321415604958947611_<35> × 256916094924849399595545798019353126710370348823846573973394845059366011284191941915472109184478357289215912667779021951183927718143437637710817034800685028450711685423_<168> (Domanov Dmitry / GMP-ECM B1=3000000, sigma=2513228818 for P35 x P168 / August 3, 2012 2012 年 8 月 3 日)

32×10²³¹+139 = 3(5)₂₃₀7_<232> = 11756093426153142063058309_<26> × 22761920267234465440253549_<26> × 13287263340894162707876221274745785532294697530361216320829408462522981813069289600826161553853961323725567502192830562420972311315656074372982000344012616414899359492687029418222277_<182>

32×10²³²+139 = 3(5)₂₃₁7_<233> = 37 × 3010192797510643_<16> × [319235685420433053029730828055894827034899272865205414803619926517748580880734288852356243778005163956090972608533153179032660485819435741776730733261689433620690470182063463756199243751663296048303035148405264815227_<216>] Free to factor

32×10²³³+139 = 3(5)₂₃₂7_<234> = 3³ × 9277 × 38783 × 5668823 × 12491729395130013512200601_<26> × [516867569110413263217464193701750073797245132548104730511415416374142913166147960885251207616562873521174738506329302969450123241533557693304855177905888487421572350052470152937027347238430187_<192>] Free to factor

32×10²³⁴+139 = 3(5)₂₃₃7_<235> = 131 × 160093 × 125008916823821717_<18> × 65119455614435840607393525356966581_<35> × 5148448899967385943574274116374600122214031_<43> × 4045159684412595575557229301610352481824291577772998529727553030465758540712317895229142075029412460322354107401058833408609113592117_<133> (Serge Batalov / GMP-ECM B1=2000000, sigma=186719257 for P35 / August 1, 2012 2012 年 8 月 1 日) (Domanov Dmitry / GMP-ECM B1=3000000, sigma=1148765918 for P43 x P133 / August 2, 2012 2012 年 8 月 2 日)

32×10²³⁵+139 = 3(5)₂₃₄7_<236> = 37 × 61 × 32887 × 265117 × 30685073501762742583303847_<26> × [58882590310254421446541606282540698891422423767729888942088359873577463387277504093997554022355201128103114537933916067756940493040150822330163488621501543886494245325850021993049556760775994621177_<197>] Free to factor

32×10²³⁶+139 = 3(5)₂₃₅7_<237> = 3 × 7 × 71 × [238467844101646918548326999031224383337059393397421566435650942693196214322974886355168045308890379312914524182129815932632834041284745510097622773679111707280721365228407481928608689172069453759594604665027200238467844101646918548327_<234>] Free to factor

32×10²³⁷+139 = 3(5)₂₃₆7_<238> = 2323132226923419256831_<22> × [1530500724129794631112965865296625963904593674469133137362042299612051016961532677676039983882185296440387285495964575668130963219046575357972487388722988452107354886731783845617625870947044508697300728322131501899547_<217>] Free to factor

32×10²³⁸+139 = 3(5)₂₃₇7_<239> = 37 × 182333 × 264553 × 671467 × [29669013266786907140715948449596855443112510148525625234574892834292474369920944398910931635192935749454108380061838018288343341780943177578653765920069960972719185018011637579036357817815615119842017168754252421281771367_<221>] Free to factor

32×10²³⁹+139 = 3(5)₂₃₈7_<240> = 3 × 52374462619_<11> × 14106417095629_<14> × 160416823856327245157069576499563957044728587318997852975124905253905227661777240448932424177464406126504385615665295352151860978007622637388490645600654305400143300214010955976222771551075584250400940477013300291369_<216>

32×10²⁴⁰+139 = 3(5)₂₃₉7_<241> = 461 × 5483 × 9719 × 1921921 × 5983363 × 1345894146246451867601_<22> × 20244534167662459126717272278338766491085879_<44> × 3520553591197649678291123744297035917077892584467_<49> × 131206750536340331233012749943333308483018049660463189137988293890420673553533171232781117822913172174179_<105> (Domanov Dmitry / GMP-ECM B1=3000000, sigma=3656059785 for P44 / August 3, 2012 2012 年 8 月 3 日) (yoyo / GMP-ECM 7.0.5-dev B1=43000000, sigma=0:4273758850274961427 for P49 x P105 / May 5, 2022 2022 年 5 月 5 日)

32×10²⁴¹+139 = 3(5)₂₄₀7_<242> = 29 × 37 × 26562501919_<11> × 129555988491783910159006589763416643137797_<42> × [9629001977139157266620792049392683831510004735994007246766023094663231744710320214628384667682573093757888971112929723127910742927601134802589040695107395595298486447624957235072158930863_<187>] (Thomas Kozlowski / GMP-ECM 7.0.6 B1=11000000 for P42 / September 19, 2024 2024 年 9 月 19 日) Free to factor

32×10²⁴²+139 = 3(5)₂₄₁7_<243> = 3² × 7 × 17 × 107 × 524165513 × 30486690147749060425157492399_<29> × 1604395028544627882068267997691_<31> × 121016389700939618715062436311731818048780707154300662668200046307931043133129296581977155504109321062607638982546964916013362417084748603668394888796609445596248965595093_<171> (Serge Batalov / GMP-ECM B1=2000000, sigma=2179944985 for P31 x P171 / August 1, 2012 2012 年 8 月 1 日)

32×10²⁴³+139 = 3(5)₂₄₂7_<244> = 19 × 2129 × [87897840734606203939471349424131802812181542002807237288461485638316866222233209452314047997714656140900238697573744914972573126883279907927011830500001373403761478221936554239834752059418940336593793863082632210713098701034722393897692407_<239>] Free to factor

32×10²⁴⁴+139 = 3(5)₂₄₃7_<245> = 31 × 37 × 47 × 109 × 4346557 × [1392112444719800238425686503226854509118887052978339358995467346969832364366322629491380760920215279896258391770495364966671125022447160315505100926952146572770820161585450509086791493424638500633985914065598283674649815302460415321_<232>] Free to factor

32×10²⁴⁵+139 = 3(5)₂₄₄7_<246> = 3 × 4751 × 398107501358131_<15> × 1259917661940696779994829979212804088201_<40> × [49734603368268839730981641044242842554611719676204700097059221294365728609774048211306655701119347090676171546876117750326927662754892359154801857396405594098284620222318514927679150045099_<188>] (Serge Batalov / GMP-ECM B1=2000000, sigma=3717839902 for P40 / August 1, 2012 2012 年 8 月 1 日) Free to factor

32×10²⁴⁶+139 = 3(5)₂₄₅7_<247> = 257 × 569 × 571 × 229499 × 1356276034432199762491_<22> × [136803461263858179761471797471323213477267199643347778354785261048504909438414795927385127103907277308004406138700014126009162618435616235580331213005208169761709401903917182065779463391311621346896474478963908911_<213>] Free to factor

32×10²⁴⁷+139 = 3(5)₂₄₆7_<248> = 23 × 37 × 137387 × 3062399 × 64762738145556538537_<20> × 1533364102875405132313925891072545600953499306861946718101925059129532663939042249492339595657374076316790784421216352111090527369713999089953795934472637269225862236605349293587044569843389586147284641164290436947_<214>

32×10²⁴⁸+139 = 3(5)₂₄₇7_<249> = 3 × 7 × 43 × 313 × 139532450951659_<15> × 9015714658962178642672106137154797070259517892815995416852733594397427106298795759330612898206174796986247278520470100853510895254878713286606399988116732082252446021690852383771436650945663798001768209610678366932172990860733857_<229>

32×10²⁴⁹+139 = 3(5)₂₄₈7_<250> = 42901 × 186253 × 470579 × 182576323648751_<15> × 1337203844328055073809691796508083966066874403_<46> × 3873130764087916607875599066554224980346488070262348986461501700215605022809116437393207549247256746381561895993717734967535259372072412411278428965562691308521718901771330387_<175> (Serge Batalov / GMP-ECM B1=3000000, sigma=2747653860 for P46 x P175 / May 27, 2014 2014 年 5 月 27 日)

32×10²⁵⁰+139 = 3(5)₂₄₉7_<251> = 37 × 1593250336163658269346718082137109448851_<40> × 603144991812668474112130481549766564993644107512214795768573838184374763907204905057558175942581725874810554633807962258444278468124477905936882764526129399294822352186763118495319225006227343418995498175163611_<210> (Domanov Dmitry / GMP-ECM B1=11000000, sigma=3805905338 for P40 x P210 / August 3, 2012 2012 年 8 月 3 日)

32×10²⁵¹+139 = 3(5)₂₅₀7_<252> = 3² × 773 × 19607591442180427617623_<23> × 3721300301726693823382292275733_<31> × [700432837391831653290107902546352927429504923634775395713743109788281672921660241064475522423039929544517623362839245394538534247869114528271306647189379375427827865492719698687077763083702257939_<195>] (Makoto Kamada / GMP-ECM 7.0.4 B1=5e4, sigma=3376187755629241140 for P31 / March 19, 2017 2017 年 3 月 19 日) Free to factor

32×10²⁵²+139 = 3(5)₂₅₁7_<253> = 1997 × 152123 × 22270405123184480108293529_<26> × 4385517755220835413899075671036916631365117_<43> × 119835510821451586005123044300634046380542439571592143309756007092907791384318753783622160722132367281088757618589296695747133384207660005739907817583798019948185728432459356879_<177> (Ignacio Santos / GMP-ECM B1=3000000 for P43 x P177 / April 7, 2024 2024 年 4 月 7 日)

32×10²⁵³+139 = 3(5)₂₅₂7_<254> = 37 × 1907 × 3041 × 84812269604659773564498200413307_<32> × [1953799285260239531826056667783673132022047937681303285366857653138326006745832404372919464356961211489677147947985509737243352926268780335591229806117405005736457344706203093903083763146222121442884711869190848929_<214>] (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=7702085343305615871 for P32 / March 19, 2017 2017 年 3 月 19 日) Free to factor

32×10²⁵⁴+139 = 3(5)₂₅₃7_<255> = 3 × 7 × 22102439 × 112582474357_<12> × 61132745956291294010106123497_<29> × 111302079944702203801963508479740442375823798211751383612106470722827595691329928388156565509090969057219122001309781168323263378756141279674706759562787922684389117200545020668383994210805525658122347261907_<207>

32×10²⁵⁵+139 = 3(5)₂₅₄7_<256> = 601 × 10174759151_<11> × 439989118438483_<15> × 6244070423518924588809279102256705275677232007_<46> × [211640671426582663255299303862699528491395874006980979973850586613140159359089769635555798159504543547153797500269037024135218814928163202169998812193843776096143030915594638158077447_<183>] (Thomas Kozlowski / GMP-ECM 7.0.6 B1=11000000 for P46 / September 19, 2024 2024 年 9 月 19 日) Free to factor

32×10²⁵⁶+139 = 3(5)₂₅₅7_<257> = 37 × 74887 × 31422773 × [408370915588104602329585232348614764178694897774757965483494073386900053170773704865962025073062546592864555133053406052213505994736119866387008509910009374256652077499636820272381535195038838184695794704250189449410306366265944812465519122811_<243>] Free to factor

32×10²⁵⁷+139 = 3(5)₂₅₆7_<258> = 3 × 3557 × 461573009 × 24217046387_<11> × 2022622289221_<13> × 1473757341196350769273722046049682335236712893882929377826288709075007693108696314562792749335281601391948735651514416223814018461172006219246200849949123029199982526818578598221265486931786496089872153652210908834259988869_<223>

32×10²⁵⁸+139 = 3(5)₂₅₇7_<259> = 17 × 479 × 1307809 × 644001224639_<12> × 1015717972501_<13> × 44387626551221_<14> × 3407974248650133348935055647_<28> × 466208677385439257858225121131025589829_<39> × 7237362093289365946647334518761089667497435706226587133854291490481135715192524226659698387538711974991885447701819451701399380056639953053906663_<145> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1671232845 for P39 x P145 / April 7, 2017 2017 年 4 月 7 日)

32×10²⁵⁹+139 = 3(5)₂₅₈7_<260> = 31 × 37 × 503 × 25693 × 194378378651_<12> × 733592898513150984059_<21> × 3201982574423302821584769706309_<31> × [5253384775210604645123881977233033931730920175258612523590805469885354258548797777584536323799403835666155776856667940645853311219345093493028845697011905828153472796226886007346756084369_<187>] (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=4826743833925900170 for P31 / March 20, 2017 2017 年 3 月 20 日) Free to factor

32×10²⁶⁰+139 = 3(5)₂₅₉7_<261> = 3³ × 7 × 123406051843699_<15> × 258701309531443_<15> × [58926490917018235684847928042251892182943387967426997183154734878890835285278165024140348243247409306906430508630779159719348494553481381151878080107157809948328099081961961260066172473492295389214031951164710107693768620256807009_<230>] Free to factor

32×10²⁶¹+139 = 3(5)₂₆₀7_<262> = 19 × 499 × 2624759 × 142877515206472238444170291362951140626666762280478439731896723803480859617773662957847318215689133301619106860812273955324135136789325753604283526800001805816412912022055375004447635845208155636375121267457907966151188861780133824770928723443287751083_<252>

32×10²⁶²+139 = 3(5)₂₆₁7_<263> = 37 × 720665941 × 268566607338881586725211512076353_<33> × 13118766313533276354391188907819949_<35> × [378465885048605582453094658699299373329992228201221618738951904625920570641535357615018849129965074094201950904883658808110999755077762040935064939495547892929060043751767729179235256593_<186>] (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=13344695022876640697 for P35, B1=1e6, sigma=1005585495541636499 for P33 / March 20, 2017 2017 年 3 月 20 日) Free to factor

32×10²⁶³+139 = 3(5)₂₆₂7_<264> = 3 × 1692899299577218981_<19> × [70009195790982415583963307912164654977549021283020269344435617280728671086554879633424166298231639652346922837512282211515081031056270157767835961748519224889160565048522368852269352386272955386570884759060681336855513412374011103182670192987499_<245>] Free to factor

32×10²⁶⁴+139 = 3(5)₂₆₃7_<265> = 293 × [12135001896094046264694728858551384148653773227152066742510428517254455821008722032612817595752749336367083807356844899507015547971179370496776640121350018960940462646947288585513841486537732271520667425104285172544558210087220326128175957527493363670838073568449_<263>] Free to factor

32×10²⁶⁵+139 = 3(5)₂₆₄7_<266> = 37 × 29116914943_<11> × 51359788657_<11> × 288777550543_<12> × 11132114244245839319_<20> × [199892305051510279339305459339621613198087992453686210532427269279665162179461415377460513523325839011265515239163713246506662673804779855480499788562322758551205881453813670760631259456514397721412940678865987783_<213>] Free to factor

32×10²⁶⁶+139 = 3(5)₂₆₅7_<267> = 3 × 7 × 1319 × 1240831 × [10345005920921320213248060650582366309780806327490424420454538712327444386473801785499562710471923054823847734410143957382687021507312481710341296345011753545574116598185907104721752531369423950452926785412724063699870505425976035293519096312072692830226553_<257>] Free to factor

32×10²⁶⁷+139 = 3(5)₂₆₆7_<268> = 197 × 719512921 × 51113261228965963_<17> × [490759882459578696451970868519672294188089256485591197291153289929755592944784767877200469709159040961602428130116074622786135183813635660329194485431071629720032859762209492228899517354372188736966063223076211013181826784584962177652151547_<240>] Free to factor

32×10²⁶⁸+139 = 3(5)₂₆₇7_<269> = 37 × [960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960960961_<267>] Free to factor

32×10²⁶⁹+139 = 3(5)₂₆₈7_<270> = 3² × 23 × 29 × 43 × 8761 × 22111 × 87343169643975218427781020089748971_<35> × [81410356549759897543325112047667565620430685993847894220903237094763712375721596842429027149490762650105017607673539920131410439408066590657439037055164429209044511585420118808589155136888164497958423499057097861404870313_<221>] (Makoto Kamada / GMP-ECM 7.0.4 B1=1e6, sigma=9342233179102519608 for P35 / March 21, 2017 2017 年 3 月 21 日) Free to factor

32×10²⁷⁰+139 = 3(5)₂₆₉7_<271> = 83947081 × [42354725300758885893311234437747222628926853996931180436822521030309029512956567906816861869867226896853692334526266083695698192955101745057169475083422561834586667230937494486026923980305587463554040140544679040782318036234703092958712353030542605234308927972797_<263>] Free to factor

32×10²⁷¹+139 = 3(5)₂₇₀7_<272> = 37 × 71 × 2550167 × 3223859363_<10> × [1646276150332702828137437985707540240289712270196046712994711740566460829944838321087181930784767072122584830159171790024473153642853869572879841015524612793934291916165399419782665008788336948408909130708024353890092503059062536468264476827225707622571_<253>] Free to factor

32×10²⁷²+139 = 3(5)₂₇₁7_<273> = 3 × 7² × 907 × 14783 × 4668315514051863490745134753_<28> × [38642042111355886342570751477518790870244303657864751213099880893701818602945169504368399852274794460751449086382262819710985272755224897377348220623945684036223787684315469010267636740547461489568190394060203220019278444360720988937867_<236>] Free to factor

32×10²⁷³+139 = 3(5)₂₇₂7_<274> = 80280593557_<11> × [44289103979171213136868456344359904911851965513682874320998034465934380405362796333211913344443280615785290133110363938306769133091544907043288062563814204854105193914287137182676517409440851520578594363313665298783281086791025450110394424267218121305046438666001_<263>] Free to factor

32×10²⁷⁴+139 = 3(5)₂₇₃7_<275> = 17 × 31 × 37 × 3968053 × 18328069 × 731885059 × 7294110979_<10> × 4696623058906619832049084095862349320226607671475199480045595372079072988632958761210576523583838653259067899266976922635920484590018398923494808202798776520552899290114276165070399453933371551328362935627559035235784999357276336936664959_<238>

32×10²⁷⁵+139 = 3(5)₂₇₄7_<276> = 3 × 59 × 1373 × 660400650606329_<15> × [2215420514162401417098166274673529451387257512083129102784776540396729215079920456523600277677224168989479898160437843046221974737751076503260891612807329952114979655061645172274729705255421502175053466385290818915201448664814969212917259676699916763055873_<256>] Free to factor

32×10²⁷⁶+139 = 3(5)₂₇₅7_<277> = 92570910330889_<14> × 38408994173725221912648267172714226089419645967114056901278731963943502497039879567053265928712026765967426818979738482101654493311356687735424146823973049817895676669505279769418092983341874746511036378029180435472202557397285211314496630409197446758237783286013_<263>

32×10²⁷⁷+139 = 3(5)₂₇₆7_<278> = 37 × 97 × 218467553 × 4001608151_<10> × 6676049879_<10> × 139111883893273_<15> × 418254512956229567680743326003280851_<36> × 29173468522611198471192705627672594177911105956066366483505760175216598641089560638286113842379310523991940292969413487420751868718469883295468903612575426270944271808395878184425557078703532107363_<197> (Ignacio Santos / GMP-ECM B1=3000000 for P36 x P197 / April 8, 2024 2024 年 4 月 8 日)

32×10²⁷⁸+139 = 3(5)₂₇₇7_<279> = 3² × 7 × 6037 × 318843991 × 2980248449823065347215781733281029786691133_<43> × [983818616280704014624796763186568590430951203055482438308624359330266994464758033374218246178627263018470273335023482619383233537186654886495695923868076914150225750501529989611690904257651081361578595800883507719095233949_<222>] (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:125448294 for P43 / April 15, 2022 2022 年 4 月 15 日) Free to factor

32×10²⁷⁹+139 = 3(5)₂₇₈7_<280> = 19 × 511439 × 861599 × 110394588765330473_<18> × 459368768601352228150027957_<27> × 504093214907177866052565383_<27> × [16612490145830659103245906406008949870702907202726520066658288462664538134205263225531141657055184917720779233287642830977094358409580784281546277267545194504895548852961481959845504433998964466021_<197>] Free to factor

32×10²⁸⁰+139 = 3(5)₂₇₉7_<281> = 37² × 9175734835177_<13> × 203836413243393167260727051539_<30> × 13886135455164864524402845204923416221691019907744063089078570981670337017402374419314669723368744989604119610843957130745930459928626255588801091869914960102399866007261150257869525168187921942823607322275546714652085822982028146816551_<236> (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=10692495442392883295 for P30 x P236 / March 22, 2017 2017 年 3 月 22 日)

32×10²⁸¹+139 = 3(5)₂₈₀7_<282> = 3 × 49788237420029315294489_<23> × 23442330191066233756919516213_<29> × [101545032634955255259817477460326770400064221602135669955676403012646195936540626236014095360142567354861102856521296162668204443112501158425848315008705430754695257184623036277666433731962814763312735768413047121551938323662294067_<231>] Free to factor

32×10²⁸²+139 = 3(5)₂₈₁7_<283> = 206838391 × 29018894991013_<14> × 558837638962663_<15> × 1361388952494237973_<19> × 9945285281125248484783421227_<28> × [78290727855280780711435688838579146237369783962028624159004212547916885716622805714045178532914369540917805985000003470950593766074768574558679212978723561003687989487612757210413984832278502074126423_<200>] Free to factor

32×10²⁸³+139 = 3(5)₂₈₂7_<284> = 37 × 3847 × [249794894972955799573943582261752264351692477504798794115144518055877556787356631390943842204564845583821409139839085251094609035861960218601757463207944102147377426815950340774879376387044700015846363649846883535472045999729909269810491541710673501679480364169732508697936303863_<279>] Free to factor

32×10²⁸⁴+139 = 3(5)₂₈₃7_<285> = 3 × 7 × 383 × 145501 × 117566906661734116184707695555004574573_<39> × 2584272645055968669479691774009638927144233215619594575332543140128669574125070154571831147473946870871101376881539607243729800519943599083462184081024018737942730626006765993208064310239619523489275225995548044571100522140154173715416263_<238> (Ignacio Santos / GMP-ECM B1=3000000 for P39 x P238 / April 8, 2024 2024 年 4 月 8 日)

32×10²⁸⁵+139 = 3(5)₂₈₄7_<286> = 9103 × 947239 × 111005837 × [3714646916992825039668224775876414255892384878343592113438190346215752232182614517948335000827328620922932358884764706920270810349269660265448881954593810263438524515456118578663998619086072445172864698884948430433202050730654690333225723020667476691387351648689035633_<268>] Free to factor

32×10²⁸⁶+139 = 3(5)₂₈₅7_<287> = 37 × 509 × 26018899 × 8900867517733136099022294646769_<31> × [8152047663514133750846338963701844830771290141726033239007150637178602152896472344319407702960655244523505392559175636542670822782209768399793155794428709765131595942210551814905880370959682984977952979201605341991587181991912399960385177920359_<244>] (Makoto Kamada / GMP-ECM 7.0.4 B1=25e4, sigma=14192504550985667074 for P31 / March 23, 2017 2017 年 3 月 23 日) Free to factor

32×10²⁸⁷+139 = 3(5)₂₈₆7_<288> = 3⁴ × 443 × 64157 × 326203836779231_<15> × 5105476588083695909297010198620446466933713_<43> × 92736205510834358934225786138298720498292766213179375686558299514314912574571881565729971185626003466336531543026931305060601525501972685060395558888880980334696630971690453328216923802111604498921328334809856210125494549_<221> (Ignacio Santos / GMP-ECM B1=3000000 for P43 x P221 / April 8, 2024 2024 年 4 月 8 日)

32×10²⁸⁸+139 = 3(5)₂₈₇7_<289> = 151 × 2081 × 8669 × 73498619 × 735517597547399341455322069701233564446619_<42> × [24144443037396512657050542469195789415722131685764571430463091018239740038921443223287213402112374897370126518114300472875916298914298217102084554383223454099550046646134062236030474725968119543479571005517972556990105001024972183_<230>] (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:2832271546 for P42 / April 15, 2022 2022 年 4 月 15 日) Free to factor

32×10²⁸⁹+139 = 3(5)₂₈₈7_<290> = 31 × 37 × 2677886609618173_<16> × 11575822727079543021858299233005271855747792087381680767098916119155528398216904591931966103905477722119066064916106660094812975811616678240891923935015321422071435341178994363087084885724541010604083442178339806357734328938664667491779898038842870872952043273985874998347_<272>

32×10²⁹⁰+139 = 3(5)₂₈₉7_<291> = 3 × 7 × 17² × 43 × 47 × 397 × 4402877 × 355789861982615143_<18> × 9208475324447011744121_<22> × [5061924466938678537627050587951396233322638610233261931864403750061680738336282525824677633038228822178573978770938347908313568788953784882592851399651692861979759016794076728301806119693105450047935736234008422666183081480765769243499_<235>] Free to factor

32×10²⁹¹+139 = 3(5)₂₉₀7_<292> = 23 × 431 × 11135329 × [32210636711150189900293026271411876745768201967755544751509488742392803531189724329606423090118310167532488183359045669314664913908096340361751780831064514358555810874597800073990313348488183099661464538950222188511673054639790366579625962712347876879764603686664712700130504423341_<281>] Free to factor

32×10²⁹²+139 = 3(5)₂₉₁7_<293> = 37 × 631247 × 1522321628397380044516585363512160788029029779089581353988155129388275842833250630832243101291508650276295904710772424995225261998807061199436925578990412565859261051475826357924807501597569510763553665935776266597640798231058461998173394821616516135460383908297324123458742712378769263_<286>

32×10²⁹³+139 = 3(5)₂₉₂7_<294> = 3 × 1193355278837_<13> × 1252949628154720373_<19> × 79265251881901317095733885192638260001553286824337349089459683794293952011275076122641172624234302880212015951177486784052520655524963735023328377753826331538719949660627308622660335099319543830434021318977526873595502458138985549461822790221736222397540372900719_<263>

32×10²⁹⁴+139 = 3(5)₂₉₃7_<295> = 76561 × 12726157021_<11> × 46640371769894216838425459629_<29> × [78242116623671807978476673048632445335002614966004196637197842845330512464981386478294255153015272396588007478496745672350421869042958979961502722808263990104168856019818759569216052504134429983990792244380633347341933730840875741914834190455682625693_<251>] Free to factor

32×10²⁹⁵+139 = 3(5)₂₉₄7_<296> = 37 × 61 × 107 × 639749501 × 116256943247_<12> × 22122168214179289_<17> × 228293306039387608592411_<24> × [391960595443104973712689475405698217003963144295761327396560595042730200929372643465792922316447479654678245437415634289524834060720613134861379078112903351188307834962284221508971687815877916225052996313123184646695681172662236311_<231>] Free to factor

32×10²⁹⁶+139 = 3(5)₂₉₅7_<297> = 3² × 7 × 9748551090556409_<16> × 3827621100514052031254371461872621_<34> × 151250879011051825602999051049562006740383941707328942050567553767875734112586915600402506311813332380327147124736855947739619845579157338991801329755414629289083261280675197387640584568080629547922520674260088556468174752763951595940827145366751_<246> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:2645101923 for P34 x P246 / April 15, 2022 2022 年 4 月 15 日)

32×10²⁹⁷+139 = 3(5)₂₉₆7_<298> = 19 × 29 × 881 × 96763 × [75695600221980372636381313646829683657574658757070852632410854788493154386040660394746388757484810083884926557715524381878337956501336870520757057476808256804649630029597595872635007690427220228672652018370940374729066797597713494287193820622711330959157613139293155867092258582989386969_<287>] Free to factor

32×10²⁹⁸+139 = 3(5)₂₉₇7_<299> = 37 × 34635899 × 32154616822051193586980767_<26> × [862851268060753359221389970720000098184488075467739820801392795940380766877081545935209598378329618453947004413061202642889903539583864184105481406452734346583922453754445971550659954571975387292517897580459680810706678743779318193327207612173989861698557395478317_<264>] Free to factor

32×10²⁹⁹+139 = 3(5)₂₉₈7_<300> = 3 × 3701 × 1054326084008631936642619_<25> × 4136539635696982995662264531130793434304598983_<46> × 7342686530189531227438292626194483717130427293665184582612559326652307149621772415681813302327588823325172138202071724745549084616969176405237310667815386165415366578258886165896758070446456537333813184744068438239178497619447_<226> (Thomas Kozlowski / GMP-ECM 7.0.6 B1=11000000 for P46 x P226 / September 22, 2024 2024 年 9 月 22 日)

32×10³⁰⁰+139 = 3(5)₂₉₉7_<301> = 736577 × 755908295419_<12> × [6385871921694754837877416325038732091054790117646490953963445351907928046794181052003507910523065096895924906385332202974303818410835590635282857944037902327759642855774319507983441771412683526418712532887965710287330571578726771200612217476783691446440962075983682276676450622716639_<283>] Free to factor

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4. Related links 関連リンク

A102972 - OEIS (The OEIS Foundation Inc.)