Factorization of 388...884

Table of contents 目次

About 388...884 388...884 について
Prime numbers of the form 388...884 388...884 の形の素数
1. Last updated 最終更新日
2. Known (probable) prime numbers 既知の (おそらく) 素数
Factor table of 388...884 388...884 の素因数分解表

1. About 388...884 388...884 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

38w4 = { 34, 384, 3884, 38884, 388884, 3888884, 38888884, 388888884, 3888888884, 38888888884, … }

2. Prime numbers of the form 388...884 388...884 の形の素数

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

No prime number of the form 388...884 exists. 388...884 の形の素数は存在しません。

3. Factor table of 388...884 388...884 の素因数分解表

3.2. Range of factorization 分解範囲

n≤100 / Completed 終了 / July 27, 2022 2022 年 7 月 27 日
n≤150 / Completed 終了 / August 4, 2022 2022 年 8 月 4 日
n≤200 / Completed 終了 / August 30, 2022 2022 年 8 月 30 日
n≤300 / Remaining 58 残り 58

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

n=211, 213, 215, 216, 218, 221, 222, 223, 224, 226, 227, 229, 231, 233, 235, 237, 238, 242, 243, 244, 246, 247, 250, 252, 254, 255, 256, 258, 259, 261, 262, 264, 266, 267, 268, 269, 271, 273, 274, 276, 277, 278, 280, 282, 284, 285, 287, 288, 289, 291, 292, 293, 294, 295, 296, 297, 298, 300 (58/300)

3.4. Factor table 素因数分解表

35×10¹-449 = 34 = 2 × 17

35×10²-449 = 384 = 2⁷ × 3

35×10³-449 = 3884 = 2² × 971

35×10⁴-449 = 38884 = 2² × 9721

35×10⁵-449 = 388884 = 2² × 3 × 23 × 1409

35×10⁶-449 = 3888884 = 2² × 972221

35×10⁷-449 = 38888884 = 2² × 29 × 335249

35×10⁸-449 = 388888884 = 2² × 3³ × 19 × 189517

35×10⁹-449 = 3888888884_<10> = 2² × 269 × 3614209

35×10¹⁰-449 = 38888888884_<11> = 2² × 103 × 467 × 202121

35×10¹¹-449 = 388888888884_<12> = 2² × 3 × 38317 × 845771

35×10¹²-449 = 3888888888884_<13> = 2² × 972222222221_<12>

35×10¹³-449 = 38888888888884_<14> = 2² × 829 × 106781 × 109829

35×10¹⁴-449 = 388888888888884_<15> = 2² × 3 × 547 × 59245717381_<11>

35×10¹⁵-449 = 3888888888888884_<16> = 2² × 43 × 22609819121447_<14>

35×10¹⁶-449 = 38888888888888884_<17> = 2² × 1907 × 5098176309503_<13>

35×10¹⁷-449 = 388888888888888884_<18> = 2² × 3² × 17 × 59 × 4357 × 2471920739_<10>

35×10¹⁸-449 = 3888888888888888884_<19> = 2² × 243311 × 3995800527811_<13>

35×10¹⁹-449 = 38888888888888888884_<20> = 2² × 3407 × 28277 × 100916011639_<12>

35×10²⁰-449 = 388888888888888888884_<21> = 2² × 3 × 32407407407407407407_<20>

35×10²¹-449 = 3888888888888888888884_<22> = 2² × 71 × 1291 × 10606716293976961_<17>

35×10²²-449 = 38888888888888888888884_<23> = 2² × 9722222222222222222221_<22>

35×10²³-449 = 388888888888888888888884_<24> = 2² × 3 × 59077 × 548562171528808291_<18>

35×10²⁴-449 = 3888888888888888888888884_<25> = 2² × 16363 × 59415890864891659367_<20>

35×10²⁵-449 = 38888888888888888888888884_<26> = 2² × 16538261 × 587862425331310361_<18>

35×10²⁶-449 = 388888888888888888888888884_<27> = 2² × 3² × 19 × 20588563 × 27614895082648477_<17>

35×10²⁷-449 = 3888888888888888888888888884_<28> = 2² × 23 × 409 × 42572867 × 2427624442598609_<16>

35×10²⁸-449 = 38888888888888888888888888884_<29> = 2² × 416399 × 23348332302004140793379_<23>

35×10²⁹-449 = 388888888888888888888888888884_<30> = 2² × 3 × 1877 × 5123764253_<10> × 3369697198212047_<16>

35×10³⁰-449 = 3888888888888888888888888888884_<31> = 2² × 1669 × 3593 × 45952783 × 3528094192717711_<16>

35×10³¹-449 = 38888888888888888888888888888884_<32> = 2² × 9722222222222222222222222222221_<31>

35×10³²-449 = 388888888888888888888888888888884_<33> = 2² × 3 × 47 × 689519306540583136327817178881_<30>

35×10³³-449 = 3888888888888888888888888888888884_<34> = 2² × 17 × 157 × 487 × 2406035188523_<13> × 310875168681509_<15>

35×10³⁴-449 = 38888888888888888888888888888888884_<35> = 2² × 59487719 × 60528542813_<11> × 2700088556855143_<16>

35×10³⁵-449 = 388888888888888888888888888888888884_<36> = 2² × 3⁴ × 29 × 1019 × 40617046747064281095215687891_<29>

35×10³⁶-449 = 3888888888888888888888888888888888884_<37> = 2² × 43 × 409769 × 55176987818617387903361674063_<29>

35×10³⁷-449 = 38888888888888888888888888888888888884_<38> = 2² × 1409 × 11457287219231713_<17> × 602244371806045613_<18>

35×10³⁸-449 = 388888888888888888888888888888888888884_<39> = 2² × 3 × 5569 × 74873 × 77721618561120011564365727911_<29>

35×10³⁹-449 = 3888888888888888888888888888888888888884_<40> = 2² × 877 × 548153 × 1353538801_<10> × 1494147405362443850041_<22>

35×10⁴⁰-449 = 38888888888888888888888888888888888888884_<41> = 2² × 459255047 × 21169549002740131503056126941643_<32>

35×10⁴¹-449 = 388888888888888888888888888888888888888884_<42> = 2² × 3 × 149 × 4984883 × 2343343754519881_<16> × 18619458622168441_<17>

35×10⁴²-449 = 3888888888888888888888888888888888888888884_<43> = 2² × 61 × 200257 × 2224657 × 35775436576016371060668321089_<29>

35×10⁴³-449 = 38888888888888888888888888888888888888888884_<44> = 2² × 95819 × 677649157 × 76377263607377_<14> × 1960400986466731_<16>

35×10⁴⁴-449 = 388888888888888888888888888888888888888888884_<45> = 2² × 3² × 19 × 103 × 179 × 154127 × 703205989 × 284523335594325267702641_<24>

35×10⁴⁵-449 = 3888888888888888888888888888888888888888888884_<46> = 2² × 107 × 347 × 479 × 35027 × 56629 × 105733 × 260653996384216418466929_<24>

35×10⁴⁶-449 = 38888888888888888888888888888888888888888888884_<47> = 2² × 8938799 × 4175443426666317431_<19> × 260485628886751473109_<21>

35×10⁴⁷-449 = 388888888888888888888888888888888888888888888884_<48> = 2² × 3 × 2393 × 1670447 × 8107162710241192750441494754729143017_<37>

35×10⁴⁸-449 = 3888888888888888888888888888888888888888888888884_<49> = 2² × 131 × 191 × 4023352595377_<13> × 168158947034443_<15> × 57431850104060291_<17>

35×10⁴⁹-449 = 38888888888888888888888888888888888888888888888884_<50> = 2² × 17 × 23 × 440093 × 56499463684168070324814002619419741119367_<41>

35×10⁵⁰-449 = 388888888888888888888888888888888888888888888888884_<51> = 2² × 3 × 197 × 631 × 474077 × 17408201 × 12042798107_<11> × 2623122178410203057059_<22>

35×10⁵¹-449 = 3(8)₅₀4_<52> = 2² × 51047 × 1802641 × 10565403191059365210675191104686689780923_<41>

35×10⁵²-449 = 3(8)₅₁4_<53> = 2² × 9722222222222222222222222222222222222222222222222221_<52>

35×10⁵³-449 = 3(8)₅₂4_<54> = 2² × 3² × 1757068409_<10> × 6148007146716886386068118726163079707275341_<43>

35×10⁵⁴-449 = 3(8)₅₃4_<55> = 2² × 373 × 457871432009_<12> × 49561259110007651_<17> × 114860534573709624623003_<24>

35×10⁵⁵-449 = 3(8)₅₄4_<56> = 2² × 1675548772142789930881433_<25> × 5802410758708548288703914492437_<31>

35×10⁵⁶-449 = 3(8)₅₅4_<57> = 2² × 3 × 71 × 51133 × 5105096797_<10> × 14925331411_<11> × 117153886891528006521540659947_<30>

35×10⁵⁷-449 = 3(8)₅₆4_<58> = 2² × 43 × 44771 × 85856473 × 1315036066367_<13> × 4472904085874092049463513503627_<31>

35×10⁵⁸-449 = 3(8)₅₇4_<59> = 2² × 2311193 × 4206581718715062836475457576334915440736546979080597_<52>

35×10⁵⁹-449 = 3(8)₅₈4_<60> = 2² × 3 × 81517 × 282956360005926854821213027_<27> × 1405001023221283259756031673_<28>

35×10⁶⁰-449 = 3(8)₅₉4_<61> = 2² × 1167277 × 1769990374071547_<16> × 470566179963213244038314768434122149459_<39>

35×10⁶¹-449 = 3(8)₆₀4_<62> = 2² × 91297 × 101168413 × 1052601777939734768719088137628815107093098466961_<49>

35×10⁶²-449 = 3(8)₆₁4_<63> = 2² × 3³ × 19 × 1143980409809040189199509859_<28> × 165664552257616658032031094467663_<33>

35×10⁶³-449 = 3(8)₆₂4_<64> = 2² × 29 × 364007531478804107171_<21> × 92099479585936857661117562780149690069019_<41>

35×10⁶⁴-449 = 3(8)₆₃4_<65> = 2² × 13307942681471_<14> × 730557867202022814811826846674847936057049571563251_<51>

35×10⁶⁵-449 = 3(8)₆₄4_<66> = 2² × 3 × 17 × 12251 × 4080997 × 10436879 × 13680885611_<11> × 1002900932415553_<16> × 266265351788974214549_<21>

35×10⁶⁶-449 = 3(8)₆₅4_<67> = 2² × 3358447621_<10> × 17976882309419230939697_<23> × 16103214912313771195074784657835833_<35>

35×10⁶⁷-449 = 3(8)₆₆4_<68> = 2² × 217468714953938422905463751_<27> × 44706302809033773136849655976446866920971_<41>

35×10⁶⁸-449 = 3(8)₆₇4_<69> = 2² × 3 × 54365456351_<11> × 7558550783171495013414266987_<28> × 78864710905715950723329417811_<29>

35×10⁶⁹-449 = 3(8)₆₈4_<70> = 2² × 1409 × 45427 × 1592387 × 41556773 × 29879454583969_<14> × 79720482896869_<14> × 96362368878219522877_<20>

35×10⁷⁰-449 = 3(8)₆₉4_<71> = 2² × 193 × 3429961 × 56716351 × 258946932698460002397724666794527270412190639806395227_<54>

35×10⁷¹-449 = 3(8)₇₀4_<72> = 2² × 3² × 23 × 397 × 1051 × 2063 × 6827 × 9206314071003893_<16> × 8681345844795922986872007966389855689493_<40>

35×10⁷²-449 = 3(8)₇₁4_<73> = 2² × 773 × 1257726031335345694983469886445306885151645824349575966652292654879977_<70>

35×10⁷³-449 = 3(8)₇₂4_<74> = 2² × 2432587 × 3996659614732061884003417851950299094018928088583151279778368552583_<67>

35×10⁷⁴-449 = 3(8)₇₃4_<75> = 2² × 3 × 400105331 × 213562271603_<12> × 379267316848964516412806406767740307017757996607710999_<54>

35×10⁷⁵-449 = 3(8)₇₄4_<76> = 2² × 59 × 571 × 2766284629667772919_<19> × 24817965338506691539_<20> × 420353227533216684817053955955329_<33>

35×10⁷⁶-449 = 3(8)₇₅4_<77> = 2² × 3083 × 55109 × 16257433 × 3519796179295356756317702479447288595866809794079865191020371_<61>

35×10⁷⁷-449 = 3(8)₇₆4_<78> = 2² × 3 × 94111 × 6553447 × 5956450177_<10> × 8821584444761411177254438645463849073023461345388968423_<55>

35×10⁷⁸-449 = 3(8)₇₇4_<79> = 2² × 43 × 47 × 103 × 464974399965528411488826983985061_<33> × 10044607306892045393533484318835698957347_<41> (Eric Jeancolas / ECM for P33 x P41 / June 24, 2022 2022 年 6 月 24 日)

35×10⁷⁹-449 = 3(8)₇₈4_<80> = 2² × 276598445465755863183392228541466715783_<39> × 35149229439273465635362872787803469747787_<41> (Eric Jeancolas / ECM for P39 x P41 / June 24, 2022 2022 年 6 月 24 日)

35×10⁸⁰-449 = 3(8)₇₉4_<81> = 2² × 3² × 19 × 41978886232721_<14> × 13543737296782632300533178406285401753619808435205806478976610231_<65>

35×10⁸¹-449 = 3(8)₈₀4_<82> = 2² × 17 × 109 × 19037 × 90245101292596909_<17> × 9710880209297515448262284591_<28> × 31449183952996897506572924119_<29>

35×10⁸²-449 = 3(8)₈₁4_<83> = 2² × 263 × 706198041374351_<15> × 52345974150755445406745859546426765359844052819944263077394285317_<65>

35×10⁸³-449 = 3(8)₈₂4_<84> = 2² × 3 × 599 × 6047 × 16067 × 532696552383754092277477_<24> × 1045352634644132484377043298294281863228633118841_<49>

35×10⁸⁴-449 = 3(8)₈₃4_<85> = 2² × 911 × 50273 × 796222829871938205605684146346369201_<36> × 26661080034759674072949483173407564862707_<41> (Eric Jeancolas / ECM for P36 x P41 / June 24, 2022 2022 年 6 月 24 日)

35×10⁸⁵-449 = 3(8)₈₄4_<86> = 2² × 769 × 1943845961963_<13> × 849210114305758731824143_<24> × 7658825929619297904624118649012848409717929001_<46>

35×10⁸⁶-449 = 3(8)₈₅4_<87> = 2² × 3 × 1273762229369050244501618989043_<31> × 25442273809186667315953149310873984014608540202122280149_<56> (Eric Jeancolas / ECM for P31 x P56 / June 24, 2022 2022 年 6 月 24 日)

35×10⁸⁷-449 = 3(8)₈₆4_<88> = 2² × 36291689284630761569004872596932961_<35> × 26789114571030743157487559188468935698502647171935661_<53> (Eric Jeancolas / ECM for P35 x P53 / June 24, 2022 2022 年 6 月 24 日)

35×10⁸⁸-449 = 3(8)₈₇4_<89> = 2² × 14293 × 30223 × 94544272445593_<14> × 2401295995989313_<16> × 99134234614893492347666147920874359855068767628271_<50>

35×10⁸⁹-449 = 3(8)₈₈4_<90> = 2² × 3³ × 43311109 × 139585057 × 1678012025173716746551_<22> × 354951060612693970075605766337546871752176014525421_<51>

35×10⁹⁰-449 = 3(8)₈₉4_<91> = 2² × 168269 × 390389 × 73949389 × 12540406199_<11> × 15959440563553048231843284292533154281381026841786564406449271_<62>

35×10⁹¹-449 = 3(8)₉₀4_<92> = 2² × 29 × 71 × 739 × 1741 × 37260188611_<11> × 98496531762729120691250844143464911865486654774559772864430819445339371_<71>

35×10⁹²-449 = 3(8)₉₁4_<93> = 2² × 3 × 337 × 201611 × 457888243 × 6114424980229762351_<19> × 170366833252194006005552717074704282909406834374002206657_<57>

35×10⁹³-449 = 3(8)₉₂4_<94> = 2² × 23 × 8737 × 4838105917473524502103608452917488453514648955328523979588169365776842226324936040239771_<88>

35×10⁹⁴-449 = 3(8)₉₃4_<95> = 2² × 97 × 19421 × 743881 × 2666002155990494592199020021467039_<34> × 2602305373796417969298315246859763275140333222487_<49> (Eric Jeancolas / ECM for P34 x P49 / June 24, 2022 2022 年 6 月 24 日)

35×10⁹⁵-449 = 3(8)₉₄4_<96> = 2² × 3 × 999233 × 32432282968444204111961281710479345065072317875217699382834041116944103534818613283796079_<89>

35×10⁹⁶-449 = 3(8)₉₅4_<97> = 2² × 662143 × 60064127 × 24445480726883392427813147854363083655594465173507075436963321539856617575820824461_<83>

35×10⁹⁷-449 = 3(8)₉₆4_<98> = 2² × 17 × 6761 × 760007 × 111298188026385185634689268700735432949114733739961424320309942082407734836172152048419_<87>

35×10⁹⁸-449 = 3(8)₉₇4_<99> = 2² × 3² × 19 × 107 × 3075573885534628519939042153470526723_<37> × 1727664823613542535079863618928080137554986837878236674791_<58> (Dmitry Domanov / Msieve 1.54 snfs for P37 x P58 / July 27, 2022 2022 年 7 月 27 日)

35×10⁹⁹-449 = 3(8)₉₈4_<100> = 2² × 43 × 2287 × 158642089 × 62317856004311406514408867896345794623911599335842129928318008622057583663678982048929_<86>

35×10¹⁰⁰-449 = 3(8)₉₉4_<101> = 2² × 36607 × 4347491 × 2532459684049_<13> × 24122380991249296012723872313528105476724338048315671036517345060909455662817_<77>

35×10¹⁰¹-449 = 3(8)₁₀₀4_<102> = 2² × 3 × 1409 × 3911 × 730069 × 1280267 × 8964243691292676085024489_<25> × 701887270890184013105158850688403029875543518586300730919_<57>

35×10¹⁰²-449 = 3(8)₁₀₁4_<103> = 2² × 61 × 4987 × 1155851 × 180512279 × 167087683423_<12> × 91673391837749055734462082266865793781668841361368299355947345527495809_<71>

35×10¹⁰³-449 = 3(8)₁₀₂4_<104> = 2² × 22191075091632470383513399_<26> × 438114069826574318469841128172078267400333489555634079276802895258599859756379_<78>

35×10¹⁰⁴-449 = 3(8)₁₀₃4_<105> = 2² × 3 × 111871 × 860813 × 9478786903_<10> × 1228285843703_<13> × 57371233065193_<14> × 503815542399171583696181652276229432999992252594992548957_<57>

35×10¹⁰⁵-449 = 3(8)₁₀₄4_<106> = 2² × 113 × 167 × 547 × 94185338425627806904728236386642245646277349256016018525685574271097244015364029077844914163411433_<98>

35×10¹⁰⁶-449 = 3(8)₁₀₅4_<107> = 2² × 439 × 92955127 × 33640649717_<11> × 3818157194381_<13> × 23764153581660878092559_<23> × 78052558773013830431952205424976592395171791057699_<50>

35×10¹⁰⁷-449 = 3(8)₁₀₆4_<108> = 2² × 3² × 11594927 × 59564251022539_<14> × 424263745124620501078237995159181_<33> × 36866627332657085965239873757334685165236879809333733_<53> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4069025471 for P33 x P53 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁰⁸-449 = 3(8)₁₀₇4_<109> = 2² × 8363 × 845027 × 632188790501_<12> × 41640710880861850915917379_<26> × 1657707924031338214427736979_<28> × 3152535034830676542474787446589681_<34>

35×10¹⁰⁹-449 = 3(8)₁₀₈4_<110> = 2² × 4860928229_<10> × 1670654643880313737596231074885125471_<37> × 1197180550201047887630169801103691858808670709625454946757060119_<64> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:445914273 for P37 x P64 / June 24, 2022 2022 年 6 月 24 日)

35×10¹¹⁰-449 = 3(8)₁₀₉4_<111> = 2² × 3 × 204488162161_<12> × 158480603791098822615660739159492413075379536651472773306653765634785993822991388625742520188835487_<99>

35×10¹¹¹-449 = 3(8)₁₁₀4_<112> = 2² × 157 × 4231 × 19249 × 292652681 × 475283243 × 165351317459_<12> × 71981608064058553861493413_<26> × 45928311510256871454120466696861928131054684867_<47>

35×10¹¹²-449 = 3(8)₁₁₁4_<113> = 2² × 103 × 6153509 × 9364252771579565245319_<22> × 6290632063048757121501876572473_<31> × 260398253071310616986068257659047876462982680638529_<51> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:664816838 for P31 x P51 / June 24, 2022 2022 年 6 月 24 日)

35×10¹¹³-449 = 3(8)₁₁₂4_<114> = 2² × 3 × 17² × 13841 × 8101752605382435917011868456463260176914684646964926531501840954300161674871334678002046326784348743579743_<106>

35×10¹¹⁴-449 = 3(8)₁₁₃4_<115> = 2² × 45131 × 199588081907535293252867_<24> × 9463404074252643513061355539169441521979_<40> × 11405349502368630078140164257944221167696584887_<47> (Dmitry Domanov / for P40 x P47 / July 27, 2022 2022 年 7 月 27 日)

35×10¹¹⁵-449 = 3(8)₁₁₄4_<116> = 2² × 23 × 47087 × 4400320021_<10> × 37164356296124427859655901491573232104391885527_<47> × 54894117611397283281691982175891554680444328778821063_<53> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4098166868 for P47 x P53 / June 24, 2022 2022 年 6 月 24 日)

35×10¹¹⁶-449 = 3(8)₁₁₅4_<117> = 2² × 3⁴ × 19 × 287982391 × 6200044072905439_<16> × 35380683121889544797599933009290169440742685605362301932308432183586921308761372984436311_<89>

35×10¹¹⁷-449 = 3(8)₁₁₆4_<118> = 2² × 77428652429813_<14> × 946611017087789433959_<21> × 13264542881249154299695555878334910153525260557039890602281330190447371988344749663_<83>

35×10¹¹⁸-449 = 3(8)₁₁₇4_<119> = 2² × 138863 × 10138091 × 1859238253_<10> × 184656546682749198257_<21> × 22413463332555752655529_<23> × 897457911184251629086921989141344975393284885031876693_<54>

35×10¹¹⁹-449 = 3(8)₁₁₈4_<120> = 2² × 3 × 29 × 2423 × 5858351 × 5311759392569809643_<19> × 14821054138153687812190113847318094522341494411837193930815071652890804617901333889105497_<89>

35×10¹²⁰-449 = 3(8)₁₁₉4_<121> = 2² × 43 × 367 × 647 × 907612049 × 104912319845899933256192660019323860847091307470706695160227061277765403224498691280984891278082579040447_<105>

35×10¹²¹-449 = 3(8)₁₂₀4_<122> = 2² × 262471766567_<12> × 3389914919415489528423149_<25> × 10926829109056731943902059151576227961140116231205396821822478842948022337694933338487_<86>

35×10¹²²-449 = 3(8)₁₂₁4_<123> = 2² × 3 × 20959 × 4505052242528659_<16> × 100989085480535296519499505486436590301876561897_<48> × 3398595360285494401075824222836717303486301011204516851_<55> (Bob Backstrom / for P48 x P55 / July 27, 2022 2022 年 7 月 27 日)

35×10¹²³-449 = 3(8)₁₂₂4_<124> = 2² × 30851 × 182913157155280994441_<21> × 3143551761980424352589223620903_<31> × 54806331853985686308583814079470592645119735569069810522276986908977_<68> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1361752998 for P31 x P68 / June 24, 2022 2022 年 6 月 24 日)

35×10¹²⁴-449 = 3(8)₁₂₃4_<125> = 2² × 47 × 3823 × 26489 × 15157237 × 6486327997789_<13> × 20776810411479806812284907681246716187366732273841476032971039440362328040755448125747281454933_<95>

35×10¹²⁵-449 = 3(8)₁₂₄4_<126> = 2² × 3² × 41188471 × 12651577403_<11> × 2756613487937_<13> × 77393106384523027727191930226714786981609899_<44> × 97168283638605379461890831078555596224310492904651_<50> (Ignacio Santos / Yafu for P44 x P50 / July 28, 2022 2022 年 7 月 28 日)

35×10¹²⁶-449 = 3(8)₁₂₅4_<127> = 2² × 71 × 2212972073319923407_<19> × 6187728666174025149816364002829036623272147510827429041081108793137248542624942009407503684703916785231493_<106>

35×10¹²⁷-449 = 3(8)₁₂₆4_<128> = 2² × 96978123981251_<14> × 100251704436990773596644973627100879294764833851805259628550032943490500908016385465928598838671260766484508303471_<114>

35×10¹²⁸-449 = 3(8)₁₂₇4_<129> = 2² × 3 × 10276589 × 12745021 × 30028673 × 59794770779727059_<17> × 107371090616771323_<18> × 2390782554049406623_<19> × 21077885214920891927197_<23> × 25468356595039653898011423268333_<32>

35×10¹²⁹-449 = 3(8)₁₂₈4_<130> = 2² × 17 × 826097 × 230141293 × 2928147617365363_<16> × 7017245903802765628275989551_<28> × 14639672644362342268377038841271035833305219000829021415384047815472981_<71>

35×10¹³⁰-449 = 3(8)₁₂₉4_<131> = 2² × 233 × 30856199202169213_<17> × 1352281768680105092281683906873014001270361154633270200921347960267423028925549962012340190373250791366419460649_<112>

35×10¹³¹-449 = 3(8)₁₃₀4_<132> = 2² × 3 × 1123 × 5813 × 2517356281635625780467331410289678492824852790034419_<52> × 1972057274511051570720318328439974989549915973217284255144110452475023147_<73> (Dmitry Domanov / Msieve 1.54 snfs for P52 x P73 / July 28, 2022 2022 年 7 月 28 日)

35×10¹³²-449 = 3(8)₁₃₁4_<133> = 2² × 23873 × 8781798521806305887_<19> × 4637405540455321456152555842750966504964141912244104284401967943381102117690656946198796834635165906710652371_<109>

35×10¹³³-449 = 3(8)₁₃₂4_<134> = 2² × 59 × 1409 × 6604583 × 14096491673489_<14> × 185993255582143_<15> × 1017765638195983566929692748021_<31> × 6635919621417419649902430493331393161550874912077844857928919331_<64> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2006152314 for P31 x P64 / June 24, 2022 2022 年 6 月 24 日)

35×10¹³⁴-449 = 3(8)₁₃₃4_<135> = 2² × 3² × 19 × 21792497179_<11> × 18144781023430403_<17> × 2104055169732338125886066873047160807708791849_<46> × 683366335189469005742458962132177885640407160571348271757727_<60> (Dmitry Domanov / Msieve 1.54 snfs for P46 x P60 / July 28, 2022 2022 年 7 月 28 日)

35×10¹³⁵-449 = 3(8)₁₃₄4_<136> = 2² × 2957 × 3300181 × 443947172239089929983597387091807522102714893399858473502937_<60> × 224411529320922370456858989748783910352001002592965873770198698949_<66> (Bob Backstrom / for P60 x P66 / July 28, 2022 2022 年 7 月 28 日)

35×10¹³⁶-449 = 3(8)₁₃₅4_<137> = 2² × 2543 × 5839 × 22219811906923664079549920822017_<32> × 84255988346597288556253493717403632237_<38> × 349735366961811153509787877603007820159003619423532854256737_<60> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:624143115 for P32 / June 24, 2022 2022 年 6 月 24 日) (Ignacio Santos / Yafu for P38 x P60 / July 28, 2022 2022 年 7 月 28 日)

35×10¹³⁷-449 = 3(8)₁₃₆4_<138> = 2² × 3 × 23² × 693373 × 49970190590059_<14> × 37792678498082619479_<20> × 46784609815085194521041739524217985426256607818622439974624792370700439131643692239225705271911_<95>

35×10¹³⁸-449 = 3(8)₁₃₇4_<139> = 2² × 2322010206876162581004299_<25> × 6088367764209398078049481_<25> × 2238232457638119308382614384326811_<34> × 30725244812223075924841755140720708362545161515824378269_<56> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2465566954 for P34 x P56 / June 24, 2022 2022 年 6 月 24 日)

35×10¹³⁹-449 = 3(8)₁₃₈4_<140> = 2² × 5519 × 14928257 × 20128625001905731_<17> × 95793066898710163_<17> × 72824593896773103991_<20> × 840368544443231207771976692708588366827450102200828789158112696782502227869_<75>

35×10¹⁴⁰-449 = 3(8)₁₃₉4_<141> = 2² × 3 × 797 × 1709 × 40519 × 403175592563_<12> × 301187267001193_<15> × 3461881819235647_<16> × 4753151930985257_<16> × 293873490417943458893381157378075348666268702993121046789041540669714101_<72>

35×10¹⁴¹-449 = 3(8)₁₄₀4_<142> = 2² × 43 × 1237001 × 2271007031697841_<16> × 405007288621562296333_<21> × 2499040925971787761043473355204849799268603_<43> × 7951926384813321382714271941757650911650267895788219233_<55> (Ignacio Santos / Yafu for P43 x P55 / July 28, 2022 2022 年 7 月 28 日)

35×10¹⁴²-449 = 3(8)₁₄₁4_<143> = 2² × 1697 × 4639 × 34260080531_<11> × 997855549813_<12> × 36124618734824841566468197874189650771850688725598691013798155620480435407941612872741463182759896505298509980029_<113>

35×10¹⁴³-449 = 3(8)₁₄₂4_<144> = 2² × 3³ × 191 × 3491 × 3527 × 15962543 × 677831709917113951522109904909404448653_<39> × 141510655155846087325663029434862003922743271367386949895212614242771666445112561556151_<87> (Bob Backstrom / GMP-ECM 7.0.4 B1=13280000, sigma=1:3961342041 for P39 x P87 / July 27, 2022 2022 年 7 月 27 日)

35×10¹⁴⁴-449 = 3(8)₁₄₃4_<145> = 2² × 1151610449174597_<16> × 103097379236396381_<18> × 8188650233380774539560325723083703704585078978202640427870129867420764143620210765207789423481428418009017157053_<112>

35×10¹⁴⁵-449 = 3(8)₁₄₄4_<146> = 2² × 17 × 4441 × 4012069053017_<13> × 19897613201639597447_<20> × 2402339287626809367362496147133724843219628094181_<49> × 671478515938317291037414460892538161141245880846641825825647_<60> (Bob Backstrom / Msieve 1.54 snfs for P49 x P60 / July 28, 2022 2022 年 7 月 28 日)

35×10¹⁴⁶-449 = 3(8)₁₄₅4_<147> = 2² × 3 × 103 × 4789 × 8831 × 46246175768503_<14> × 82338729035397823979693820114898084542596296903147_<50> × 1953765146268136032778714022650844591775174985006406208778693538129806951_<73> (Ignacio Santos / GNFS, Msieve for P50 x P73 / August 4, 2022 2022 年 8 月 4 日)

35×10¹⁴⁷-449 = 3(8)₁₄₆4_<148> = 2² × 29 × 2080151 × 26699146145174011270562474633_<29> × 69171912322365761648572956965153791_<35> × 8726609225490926834573569937554427738524694891491256920591785821418227154433_<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:623125539 for P35 x P76 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁴⁸-449 = 3(8)₁₄₇4_<149> = 2² × 197 × 5219165832541853_<16> × 501820973351606207779276573443329250554811487073_<48> × 18842972430598286194228053958107111882788894771785438087448926253791425750065530397_<83> (Ignacio Santos / GNFS, Msieve for P48 x P83 / August 4, 2022 2022 年 8 月 4 日)

35×10¹⁴⁹-449 = 3(8)₁₄₈4_<150> = 2² × 3 × 1151 × 2357 × 30389574366211532513_<20> × 2909738132358157030417_<22> × 512339986743540755949374799323_<30> × 263677217469165940589501757615288706887867552823078392693644538496784647_<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3965559273 for P30 x P72 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁵⁰-449 = 3(8)₁₄₉4_<151> = 2² × 223 × 383 × 320833 × 3102190758486181291425077_<25> × 177467826516588238114264163_<27> × 64445818541944677702723000678463503098110241962762237678663278177659585897213860725570643_<89>

35×10¹⁵¹-449 = 3(8)₁₅₀4_<152> = 2² × 107 × 26886179 × 205021483904584595263_<21> × 112298051023242938098618085815593017518821662023_<48> × 146784801099757694171411116329426578954581079542863340041579554923224595093_<75> (Ignacio Santos / GNFS, Msieve for P48 x P75 / August 5, 2022 2022 年 8 月 5 日)

35×10¹⁵²-449 = 3(8)₁₅₁4_<153> = 2² × 3² × 19 × 1973 × 8093 × 35606788715965195001452702246890439415273810875805104707982013148560702034524715009823922569700909588696029511499961399534915951315263605160359_<143>

35×10¹⁵³-449 = 3(8)₁₅₂4_<154> = 2² × 9734801 × 2208355078031_<13> × 45224061320220321642191525686345012649693124387061947294977981599859695673012734241977863893505755214107435653588033672913515826392691_<134>

35×10¹⁵⁴-449 = 3(8)₁₅₃4_<155> = 2² × 1399 × 89137 × 383491313 × 470025137 × 13100335187770367_<17> × 147096623825719101139807_<24> × 224454381662891980067100042636644745325937109341536314462826061232439394957056145210909003_<90>

35×10¹⁵⁵-449 = 3(8)₁₅₄4_<156> = 2² × 3 × 36066274585899240149_<20> × 898551563184673007885741940631874514680708640056970394257230712024951066001504361338197963239775972873805334248212781981209710860269043_<135>

35×10¹⁵⁶-449 = 3(8)₁₅₅4_<157> = 2² × 7369 × 48889 × 783138464550433751288238868660825473337562981_<45> × 3445936559528176440975416701148495859593563641322941292343566268928357897470129158756621100764897797001_<103> (Bob Backstrom / GMP-ECM 7.0.4 B1=15950000, sigma=1:2492741112 for P45 x P103 / July 31, 2022 2022 年 7 月 31 日)

35×10¹⁵⁷-449 = 3(8)₁₅₆4_<158> = 2² × 9722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<157>

35×10¹⁵⁸-449 = 3(8)₁₅₇4_<159> = 2² × 3 × 27027667 × 92728104715021_<14> × 358822032531796047058152282496614382671510889_<45> × 36036719074938892517065247979121358541870664309785452417968625148507569687142555145717859809_<92> (Bob Backstrom / Msieve 1.54 snfs for P45 x P92 / August 10, 2022 2022 年 8 月 10 日)

35×10¹⁵⁹-449 = 3(8)₁₅₈4_<160> = 2² × 23 × 827 × 8753 × 581772055133_<12> × 36019977473442516359652298219586476337_<38> × 189260859985025121347668024769856304629257564681_<48> × 1472374092183907770850697427899050218662086386354395117_<55> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:888061907 for P38 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / Msieve 1.54 gnfs for P48 x P55 / July 28, 2022 2022 年 7 月 28 日)

35×10¹⁶⁰-449 = 3(8)₁₅₉4_<161> = 2² × 2749 × 71023961370865163571395460384270913148333_<41> × 49795020129120696244145120154727238577411524789050825614606479260899403344669238720646147922980343624409435104087413_<116> (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:1049575706 for P41 x P116 / July 29, 2022 2022 年 7 月 29 日)

35×10¹⁶¹-449 = 3(8)₁₆₀4_<162> = 2² × 3² × 17 × 71 × 1143620603_<10> × 7825890973334819019278957097319027665830183512539278539411061915025058135174413264852093382307852250734684419694597100514506597463047190394570678489_<148>

35×10¹⁶²-449 = 3(8)₁₆₁4_<163> = 2² × 43 × 61 × 752771 × 69124382347_<11> × 1429237396043_<13> × 4983893328129128740854841063023776361286522511574920106141332607888000341558466000669218305638807648609983209113492618899176435097_<130>

35×10¹⁶³-449 = 3(8)₁₆₂4_<164> = 2² × 10003087 × 230289974353461181094770411_<27> × 1077175632144233314573494852661_<31> × 6330813872919095663250817007132418538207_<40> × 618885632380295654485117851334985219167444924507235507113339_<60> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2426961421 for P31 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / Msieve 1.54 gnfs for P40 x P60 / July 28, 2022 2022 年 7 月 28 日)

35×10¹⁶⁴-449 = 3(8)₁₆₃4_<165> = 2² × 3 × 401 × 150407 × 3509917 × 23962817 × 10658871591107_<14> × 1614472527908796318457_<22> × 45736518219120311379901631621_<29> × 7987000257611534607235178613948589_<34> × 1016268492620163639962991950143022844667853239_<46> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3669459582 for P34 x P46 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁶⁵-449 = 3(8)₁₆₄4_<166> = 2² × 691 × 1409 × 274093 × 1220581951999_<13> × 183383435447542466928719_<24> × 4589809013733379514673702179883404144891_<40> × 3546148316173948348083251574348002390449663385215784606154730975654910537099953_<79> (Bob Backstrom / GMP-ECM 7.0.4 B1=12140000, sigma=1:3208995774 for P40 x P79 / August 5, 2022 2022 年 8 月 5 日)

35×10¹⁶⁶-449 = 3(8)₁₆₅4_<167> = 2² × 2351 × 28631 × 262597 × 2377180324487_<13> × 168525334928417_<15> × 1372964510196404544284598879187005962691910644194127109951551223795588120481056537283825648076691903671903529907732957291344807_<127>

35×10¹⁶⁷-449 = 3(8)₁₆₆4_<168> = 2² × 3 × 1164945102286448500560857976565271_<34> × 27818827980649980744749103058077368424942982852767403491554559472464363730286659340827771562887359542711429213628829118913220163611817_<134> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3482170247 for P34 x P134 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁶⁸-449 = 3(8)₁₆₇4_<169> = 2² × 257 × 1467414269_<10> × 170021030853654990337_<21> × 15162717284389812345675714207078969691849267353919093814051469603486642386848949943040443510042003729188622278789758502151375062046600401_<137>

35×10¹⁶⁹-449 = 3(8)₁₆₈4_<170> = 2² × 181 × 11332730239_<11> × 198891047022122116651427962223377_<33> × 23830721080495928765881963265500325413483878398061786098123064708285814579108778894046537277677830587764693498747187213169047_<125> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:489989818 for P33 x P125 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁷⁰-449 = 3(8)₁₆₉4_<171> = 2² × 3³ × 19 × 47 × 397 × 10156868127043220886588259591394650938216606948344826903345141882335573102677010328304453178422405758570455286431052166916740367803758814289768575817764566652346063_<164>

35×10¹⁷¹-449 = 3(8)₁₇₀4_<172> = 2² × 1640508011_<10> × 110036741412946803580593227931182722125648384722563371632230643_<63> × 5385790639930241204515938312872179898041632136977009676159142349251366021631775605216436645928905277_<100> (Bob Backstrom / Msieve 1.54 snfs for P63 x P100 / July 29, 2022 2022 年 7 月 29 日)

35×10¹⁷²-449 = 3(8)₁₇₁4_<173> = 2² × 1053035839_<10> × 87735632291_<11> × 4317231281941503787232422776633293060483387161577_<49> × 24374800277463308282345093792104203234916073952094380915796669897435746523233469658001287193444340903177_<104> (Bob Backstrom / Msieve 1.54 snfs for P49 x P104 / August 1, 2022 2022 年 8 月 1 日)

35×10¹⁷³-449 = 3(8)₁₇₂4_<174> = 2² × 3 × 5501 × 29059 × 1898828627_<10> × 65576184313_<11> × 5585806032863436496421046671_<28> × 291476948961485195026927857697842859946593463182747102709209040735079063774299843888374260001319322885050037220755013_<117>

35×10¹⁷⁴-449 = 3(8)₁₇₃4_<175> = 2² × 1153 × 1483 × 352831 × 407893278701124933100073886312786717492601743723221419164155183_<63> × 3950770485155325873922637822610313233050124962652224877765374077919443748566356360060646823057590423_<100> (Bob Backstrom / Msieve 1.54 snfs for P63 x P100 / July 30, 2022 2022 年 7 月 30 日)

35×10¹⁷⁵-449 = 3(8)₁₇₄4_<176> = 2² × 29 × 49523 × 56641969 × 1452566006689333_<16> × 2605323491060362971490012622028874926071551949_<46> × 31580916285319361610002702175563366837399458629863345796547468572927773514855606267459515972883719531_<101> (Bob Backstrom / Msieve 1.54 snfs for P46 x P101 / August 2, 2022 2022 年 8 月 2 日)

35×10¹⁷⁶-449 = 3(8)₁₇₅4_<177> = 2² × 3 × 53069 × 485631001 × 1006852758727_<13> × 286215609185379483629599251601_<30> × 42749592416268329222159022094267_<32> × 102071788421262932981834255275307585688972605088372666324940085217184123664430320103556367_<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:780092479 for P30, B1=1000000, sigma=1:517863036 for P32 x P90 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁷⁷-449 = 3(8)₁₇₆4_<178> = 2² × 17 × 1361 × 161923 × 259507524848929726723840162205947735417192115834718119834217426430985941174532526723716630692519076891734957086875809719067747733743110555934414446622877247698486848271_<168>

35×10¹⁷⁸-449 = 3(8)₁₇₇4_<179> = 2² × 131 × 27763 × 767112554337272756023059259924713950783872180864321_<51> × 3484727033465844170783037190710462242454032523410761463109226429839962497643800564512833220368739514434147902764512768917_<121> (Bob Backstrom / Msieve 1.54 snfs for P51 x P121 / July 30, 2022 2022 年 7 月 30 日)

35×10¹⁷⁹-449 = 3(8)₁₇₈4_<180> = 2² × 3² × 346195831 × 794321898231215001445718515568320814544639349_<45> × 574604429661136642425364362427935620824469534494297_<51> × 68365295491771497272170418592191682840200314149413048185285961980647644783_<74> (Bob Backstrom / Msieve 1.54 snfs for P45 x P51 x P74 / July 31, 2022 2022 年 7 月 31 日)

35×10¹⁸⁰-449 = 3(8)₁₇₉4_<181> = 2² × 103 × 1531 × 100297 × 986023 × 1210971809703665191850531422144333270647204986270611_<52> × 51480660050920346466920117922299871062412314763019411067025273020569628652263535033441229500736232568783879754517_<113> (Bob Backstrom / Msieve 1.54 snfs for P52 x P113 / August 5, 2022 2022 年 8 月 5 日)

35×10¹⁸¹-449 = 3(8)₁₈₀4_<182> = 2² × 23 × 28858821721_<11> × 117263058282263477452367_<24> × 1762760257905517657701683758040939131811160002881_<49> × 70860570585143385356243264985372993043624582568576472095113136728024775501722270876324459368268381_<98> (Evan Engler / msieve (nfs@home build) for P49 x P98 / August 20, 2022 2022 年 8 月 20 日)

35×10¹⁸²-449 = 3(8)₁₈₁4_<183> = 2² × 3 × 2072794846273_<13> × 34534569017464107690590755975627437675064853_<44> × 527524421625893314931365384588714554406205260360357731448847_<60> × 858205627906693825898758229038582984950600763847732485411864461149_<66> (Bob Backstrom / Msieve 1.54 snfs for P44 x P60 x P66 / August 6, 2022 2022 年 8 月 6 日)

35×10¹⁸³-449 = 3(8)₁₈₂4_<184> = 2² × 43 × 5437 × 25833828762620356417_<20> × 19024526237341303024845283549_<29> × 8461261706634165684900308073983835264223420767501895830102822948113422810166019006052971625193934255199892937520655392533902187407_<130>

35×10¹⁸⁴-449 = 3(8)₁₈₃4_<185> = 2² × 1466039 × 310388782160260183032899013405732777435582792617_<48> × 366386423348000343854909688010361803558321104947_<48> × 58314241449013280407841705753560225329704973251184790442049258031917222817005058961_<83> (Bob Backstrom / Msieve 1.54 snfs for P48 x P48 x P83 / August 4, 2022 2022 年 8 月 4 日)

35×10¹⁸⁵-449 = 3(8)₁₈₄4_<186> = 2² × 3 × 601 × 30267159977401235985973_<23> × 1781550529610110885980913273032780463735823191227486855391894818166793297977828718620306775955654264273298405890538794990418380228054896038786548555206481899659_<160>

35×10¹⁸⁶-449 = 3(8)₁₈₅4_<187> = 2² × 48463 × 93935689 × 381633399493_<12> × 39323778664030166406061563455029921775118854980324577_<53> × 14230593226037485915725196846480403395301271771749373056691581167030908338448207593854714887437818752483503023_<110> (Bob Backstrom / Msieve 1.54 snfs for P53 x P110 / August 14, 2022 2022 年 8 月 14 日)

35×10¹⁸⁷-449 = 3(8)₁₈₆4_<188> = 2² × 100393 × 13826631613846061470854989940371425899031279207563613_<53> × 7003993257567763231031291984245114932034031254040560030658158305774874432931018271221302965753405956811945052852311335887823186569_<130> (Bob Backstrom / Msieve 1.54 snfs for P53 x P130 / August 4, 2022 2022 年 8 月 4 日)

35×10¹⁸⁸-449 = 3(8)₁₈₇4_<189> = 2² × 3² × 19 × 568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551_<186>

35×10¹⁸⁹-449 = 3(8)₁₈₈4_<190> = 2² × 109 × 149 × 157 × 1399868022873822749238561831047270107897589343719951217885470301533446919_<73> × 272374240181113630147675654162291960299706936726643085515188939159741049991582369168751303054340558443416895607_<111> (Bob Backstrom / Msieve 1.54 snfs for P73 x P111 / August 10, 2022 2022 年 8 月 10 日)

35×10¹⁹⁰-449 = 3(8)₁₈₉4_<191> = 2² × 97 × 22921 × 487793 × 1769403341_<10> × 18700565794056849413_<20> × 87263909860490745995654010623_<29> × 3104619831180841094018180229601364556941563196125023043250087494359881667859623691017783456009669620609443818059875842859_<121>

35×10¹⁹¹-449 = 3(8)₁₉₀4_<192> = 2² × 3 × 59² × 277411 × 47177134619910137_<17> × 83194512488988847_<17> × 8550477071924735408069096693433436884147682032206158126979809997567511454185997953759950276707524328689169227957911291677703178538007420375709836443_<148>

35×10¹⁹²-449 = 3(8)₁₉₁4_<193> = 2² × 14821 × 575251 × 916198999 × 23374182698891_<14> × 23506913857823647_<17> × 5489714778379848874774968628237_<31> × 41262829935523599225195342027630693198193904028806393923957216219333138996063001083105796477305495217334356939701_<113> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3748864056 for P31 x P113 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁹³-449 = 3(8)₁₉₂4_<194> = 2² × 17 × 3803 × 9511847 × 14704045609553948587274372565347_<32> × 1075198375859361101053777798045473609473603193651015983221149735754333855959244977188870491278327335891961596146446643576707966123029190340818934522219_<151> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2179872977 for P32 x P151 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁹⁴-449 = 3(8)₁₉₃4_<195> = 2² × 3 × 5857 × 144483495269_<12> × 20936391790746653071_<20> × 15800051959762584078602351_<26> × 169654376478040388338023728620029671512555750334771_<51> × 682378611989568355416734534675857829681926449575811263129231890500133941805202909969_<84> (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P84 / August 9, 2022 2022 年 8 月 9 日)

35×10¹⁹⁵-449 = 3(8)₁₉₄4_<196> = 2² × 22546772683_<11> × 6634218708864679_<16> × 3358946526017728161371814739117_<31> × 1935032584425163764965965712535799746703967651482777808718152832613770107662876214769937989549903847753407436298243098786285616235928643909_<139> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2485228344 for P31 x P139 / June 24, 2022 2022 年 6 月 24 日)

35×10¹⁹⁶-449 = 3(8)₁₉₅4_<197> = 2² × 71 × 547 × 1187 × 19424673953_<11> × 322956731606811629_<18> × 33617937890781579989143993286906919744000577001886754152379430730384173133762642876575689104450784337955368640042558660574632550518908579231991529826265284422207_<161>

35×10¹⁹⁷-449 = 3(8)₁₉₆4_<198> = 2² × 3⁵ × 1409 × 201579801606829715101057_<24> × 2229679138231311196274490966312617186484372077_<46> × 631769845352061060778664188428429754842717084182905361399569805851078951575512628876300629931237782735117681486589692849947_<123> (Bob Backstrom / Msieve 1.54 snfs for P46 x P123 / August 17, 2022 2022 年 8 月 17 日)

35×10¹⁹⁸-449 = 3(8)₁₉₇4_<199> = 2² × 743 × 1041577 × 1293865921_<10> × 13014748022200184227286897018428024894588882062918332800850947418148900104757899838601_<86> × 74603690237996064733593766729701777929840551228044195016654947638156526320269378106948678016091_<95> (Bob Backstrom / Msieve 1.54 snfs for P86 x P95 / August 30, 2022 2022 年 8 月 30 日)

35×10¹⁹⁹-449 = 3(8)₁₉₈4_<200> = 2² × 541 × 434761 × 412309396904539_<15> × 19780950019362731_<17> × 1834680790028581356013475987924681_<34> × 200292741021456963772212441614606214641_<39> × 13791820535479404794268533388297100665249874639643657765450525122986145980519562729414889_<89> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:799634768 for P34, B1=1000000, sigma=1:835391831 for P39 x P89 / June 24, 2022 2022 年 6 月 24 日)

35×10²⁰⁰-449 = 3(8)₁₉₉4_<201> = 2² × 3 × 557 × 80323162603560997_<17> × 724349715468159450604391886774431048754577366501181959722328401975925287282211203222447365485165829350234270951721276801856518196583664422980366312521242263731039374292553253271983_<180>

35×10²⁰¹-449 = 3(8)₂₀₀4_<202> = 2² × 972222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<201>

35×10²⁰²-449 = 3(8)₂₀₁4_<203> = 2² × 11093 × 996004637 × 12894128267417_<14> × 12150543092025293_<17> × 5616522384847878414451262587065969823783865919095128018978876190754279262449040082626524970048910785051005178965922832931307016920409529944362600227500121030601_<160>

35×10²⁰³-449 = 3(8)₂₀₂4_<204> = 2² × 3 × 23 × 29 × 6089 × 325406562334547191_<18> × 351432256701033091_<18> × 1691254839036307120235953182379872923_<37> × 2873542960832446081591979369586653251_<37> × 14357466314590418727041198485118909939407975975978557190430215637504631176245214244464353_<89> (Dmitry Domanov / for P37 / September 3, 2022 2022 年 9 月 3 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3255088523 for P37 x P89 / September 3, 2022 2022 年 9 月 3 日)

35×10²⁰⁴-449 = 3(8)₂₀₃4_<205> = 2² × 43 × 107 × 33107 × 18309085079_<11> × 29003164739_<11> × 582822620517559787_<18> × 73243480513073579813367580474964520149785574320918154744638085605500484674983_<77> × 281563319288795466544175286297299775754739185720126810926125992659285963788470103_<81> (Bob Backstrom / Msieve 1.44 snfs for P77 x P81 / May 12, 2024 2024 年 5 月 12 日)

35×10²⁰⁵-449 = 3(8)₂₀₄4_<206> = 2² × 229 × 766363523 × 147626247891137_<15> × 4766363016410277849116983489076676618598331918636026968390840809_<64> × 78730777118930498652444588955057219970558379661762921892910124068926087738860094329456316561991703897664170386571211_<116> (Bob Backstrom / Msieve 1.44 snfs for P64 x P116 / March 6, 2024 2024 年 3 月 6 日)

35×10²⁰⁶-449 = 3(8)₂₀₅4_<207> = 2² × 3² × 19 × 102117124520886384762093949_<27> × 63947029549233605861910634242501521183_<38> × 1288329481396114497058674883698589073632739414696106434143_<58> × 67580832198400346291740546197741442274615569328351504927415788641727265991732755571_<83> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2613552658 for P38 / September 6, 2022 2022 年 9 月 6 日) (Lionel Debroux / CADO-NFS for P58 x P83 / March 20, 2023 2023 年 3 月 20 日)

35×10²⁰⁷-449 = 3(8)₂₀₆4_<208> = 2² × 991 × 23917 × 48953 × 6325970459_<10> × 79327635234308950703_<20> × 1669760587918348028020935400773581467702876215615552969016477228980253207937405656715027941209959387655888856418005404565083822330640054371820766694384116849315663803_<166>

35×10²⁰⁸-449 = 3(8)₂₀₇4_<209> = 2² × 379 × 1446373436546743_<16> × 17735600454015964133200198943446653024703356223547828099540976061358508943324442248783633867564326717960417113755201302691766539067232713174759121516469873879691373651246026217064311999996193_<191>

35×10²⁰⁹-449 = 3(8)₂₀₈4_<210> = 2² × 3 × 17 × 491 × 340979724340052868290261070829_<30> × 813543015889916753056455187195114688551729419098086931_<54> × 13996027880428082367903447606344845989437992337732011544941166940360449952700198547908689430734099108456643600031171662219_<122> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1499829728 for P30 / June 24, 2022 2022 年 6 月 24 日) (Bob Backstrom / Msieve 1.44 snfs for P54 x P122 / December 1, 2024 2024 年 12 月 1 日)

35×10²¹⁰-449 = 3(8)₂₀₉4_<211> = 2² × 3271 × 9613 × 570613 × 6002973312861139369_<19> × 6635105962907195072533135117751_<31> × 1360410952724731929969999515669876837493414336749780688528669707628370602614285372352658202802383841016027183390701268366519474688768797763100051541_<148> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2327114173 for P31 x P148 / June 24, 2022 2022 年 6 月 24 日)

35×10²¹¹-449 = 3(8)₂₁₀4_<212> = 2² × 4335107167_<10> × [2242671714376610755242771654005162041758176037778727010238688805688346717224816007004659643336153360247996430262694408316162907495251367616818646048069478376109132580117879753034078158977660683566262163_<202>] Free to factor

35×10²¹²-449 = 3(8)₂₁₁4_<213> = 2² × 3 × 6824374934140254035452895144475763243_<37> × 4748772996818080867646820468830810573418553611984708835501956664303677784738744604123358209723650268771305007480783664296675854859812262932234258140983469545745973483029409549_<175> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3608338060 for P37 x P175 / September 7, 2022 2022 年 9 月 7 日)

35×10²¹³-449 = 3(8)₂₁₂4_<214> = 2² × 13477 × 674906993 × 61601254969_<11> × 3622335359897677_<16> × [479016167705732969440996663695662741238105167258415312516240341942157355150830165774316904383455250001290962698895184951370835605350039957061444615741952580168522585729464997_<174>] Free to factor

35×10²¹⁴-449 = 3(8)₂₁₃4_<215> = 2² × 103 × 4549 × 219847 × 94382578592116761582882794089096893032745271485582913299138231735995425081377007749569684958164383804861630715446876551196275900228001906594891010557063691699310282083250104646529496245078596723049398169_<203>

35×10²¹⁵-449 = 3(8)₂₁₄4_<216> = 2² × 3² × 72482474789016090847549_<23> × 7408321801795614585968653_<25> × [20117322682514197815859764137745183607822085960433072335821027065673903893140422607666413318622161466961145952832471311859058988958580209934925124629351955060937157677_<167>] Free to factor

35×10²¹⁶-449 = 3(8)₂₁₅4_<217> = 2² × 47 × 1871 × [11055894813584978134598885818508957801860675508855455862972607915009861858173717800496062206150109990359259722553899066629771566260188796777490956278042487487885898111400459672518077967433756237104088406725521933_<212>] Free to factor

35×10²¹⁷-449 = 3(8)₂₁₆4_<218> = 2² × 113 × 10150886869_<11> × 12746123666707_<14> × 664974489398942950495558155682565303380305417608328809259617409063198462412120002238815465501502130696476847338497580761471262699475913851630818180739644049056064447004012759430560616442884499_<192>

35×10²¹⁸-449 = 3(8)₂₁₇4_<219> = 2² × 3 × 347 × 2609 × 21628139050601_<14> × 18792709923351956261_<20> × 16337903684768575319339_<23> × [5390584276767406679717538431814234878426862675852104667655116346894671721459084118662352023344425696737836554777991069663840376825120227648247013359855055971_<157>] Free to factor

35×10²¹⁹-449 = 3(8)₂₁₈4_<220> = 2² × 863 × 1126561091798635251705935367580790524011844985193768507789365263293420883223895970130037337453328183339770825286468391914510106862366422041972447534440581949272563409295738380327024591219260975923780095274880906398867_<217>

35×10²²⁰-449 = 3(8)₂₁₉4_<221> = 2² × 222151 × 290659 × 15633639807129800567330281_<26> × 299722608806223457357913325396642571_<36> × 141788965096185880700168377562311573961395587761_<48> × 185123122766081414716377937252703727412883058941_<48> × 1224195531465375229847337025905530240992108414541227519_<55> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:364559349 for P36 / September 4, 2022 2022 年 9 月 4 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2521599943 for P48 / September 8, 2022 2022 年 9 月 8 日) (Dmitry Domanov / Msieve 1.54 gnfs for P48 x P55 / September 8, 2022 2022 年 9 月 8 日)

35×10²²¹-449 = 3(8)₂₂₀4_<222> = 2² × 3 × 1775903980559_<13> × 5918831862463573885971066301917035908139_<40> × [3083108475553995036839279843445597081978745384554884634874966581722792887852746145474824743272417907998667061684041800835580425551542076040098122818157548653779132169507_<169>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3471451524 for P40 / June 24, 2022 2022 年 6 月 24 日) Free to factor

35×10²²²-449 = 3(8)₂₂₁4_<223> = 2² × 61 × 179 × 313 × 28597 × 216509 × 2575130781439337059_<19> × 177031253829429031707548899776263_<33> × [100784251581932960395505139401491926854621777922996009540934715705226722232665846677113300675288032718653590672332999945245211897544869139419387747411778423_<156>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2742636361 for P33 / June 24, 2022 2022 年 6 月 24 日) Free to factor

35×10²²³-449 = 3(8)₂₂₂4_<224> = 2² × 50915424332630455127_<20> × 234867341879697665358325630128643999639_<39> × [813005611836464860623287393931169196385652603665222643320472442029455843210246596157821617500921602580448886493762537435282752516863807393589818843523021857891698557_<165>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P39 / February 8, 2024 2024 年 2 月 8 日) Free to factor

35×10²²⁴-449 = 3(8)₂₂₃4_<225> = 2² × 3³ × 19 × 22907 × 685637 × 792223 × 2356215846641_<13> × [6464325215659064334751650530709426367127891271516941036805363271348900939052967470780653447441492674983345914980993410540384776613337263933275521668264312016998316739208876033840850944978735941_<193>] Free to factor

35×10²²⁵-449 = 3(8)₂₂₄4_<226> = 2² × 17 × 23 × 43 × 9649 × 200023 × 129945277829_<12> × 230567231858095336280525752267419477185798479652345089614570757885638313389902710129120455464242876648355615864687129194324347913501816544785041089511947301405428612282264103587622559042917155158057099_<201>

35×10²²⁶-449 = 3(8)₂₂₅4_<227> = 2² × 5333 × 13691 × 42457 × 182011 × 12966237896741897_<17> × 280590419003296113353_<21> × 1629159641854003827307_<22> × [2907109455886650693987850866152433150948855893582423440944443988098081505595010278331494989990012758380859830467442349889481248869515082960971873903243_<151>] Free to factor

35×10²²⁷-449 = 3(8)₂₂₆4_<228> = 2² × 3 × 34232777534397691_<17> × 5402506331654646328355663501788767047513_<40> × [175229356679791852517555436238596683443586922439857337962978296124510051683323663436373571219572385489931220693287573938852737287951243329334730777282049612472330096433829_<171>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P40 / February 8, 2024 2024 年 2 月 8 日) Free to factor

35×10²²⁸-449 = 3(8)₂₂₇4_<229> = 2² × 2707 × 3857164693_<10> × 93112739653236908217756110639957567178951750613498449287712523709802167135477655824601912156677540632279325412038887871845666738603121138757803288694582296975604294511902697090095207297181864183569475951177256756771_<215>

35×10²²⁹-449 = 3(8)₂₂₈4_<230> = 2² × 1409 × 2845591967887_<13> × [2424833504527815839298804797570272711352016401518310251119077627740360717214895013694846283021285408009750609031554835705475192536008579356534559720858247161635111818652407160339444010747140849434149674945138554787_<214>] Free to factor

35×10²³⁰-449 = 3(8)₂₂₉4_<231> = 2² × 3 × 389 × 3305941 × 25199944769220569431831846887504780223243173245401414437931012991947791116845534510961583042672137576173661170003996915431950855196273984273837609467854119041404447068173990010102477282376294270398144462137826785815902743_<221>

35×10²³¹-449 = 3(8)₂₃₀4_<232> = 2² × 29 × 71 × 409 × 587 × 2393 × 3943 × 1768562867209_<13> × [117857658790599492352514198577134655697511266372524927345019630213402582242745132905193845066756128051792534569269373784874830686762348339092401502357829877031292572759998791394829867347856666900209948123_<204>] Free to factor

35×10²³²-449 = 3(8)₂₃₁4_<233> = 2² × 3172159 × 217814460242722292474595076883165539_<36> × 3232502650515095378522539782986149450505111113_<46> × 452044757948644100929883720518057913384389367597_<48> × 9629496079194005117045700138993676044742991297813478489930003881953267428549067332348794497932461_<97> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3108091736 for P36 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3727907788 for P46 / September 7, 2022 2022 年 9 月 7 日) (Ignacio Santos / GMP-ECM B1=43000000, sigma=1:2300498273 for P48 x P97 / November 5, 2022 2022 年 11 月 5 日)

35×10²³³-449 = 3(8)₂₃₂4_<234> = 2² × 3² × 3914201 × 313031401 × 484065366443_<12> × 3566908787466960164488045139_<28> × [5106178477249679103337892782241477366312146183864493184930224859043912657313012540421424390302575534895022645373499760950238545120771642572104557688189905551677072329182440521397_<178>] Free to factor

35×10²³⁴-449 = 3(8)₂₃₃4_<235> = 2² × 2053 × 5851 × 133355143 × 379124612888089_<15> × 1600865136856538035155513385027526024609130268621658949668514884820549796981602945490528491941320868335047442417862418988456783862789534447207923351260862535757401164488763829012150014700816802465352727141_<205>

35×10²³⁵-449 = 3(8)₂₃₄4_<236> = 2² × 24631 × 535879 × 48869672711_<11> × [15072223677888896207965964265695773269217317222469492252894009111088187862983079683996344272712841573645358382359419401405969100653349437465528322176964407491105583589522942688981038936323894830235420176794993116939_<215>] Free to factor

35×10²³⁶-449 = 3(8)₂₃₅4_<237> = 2² × 3 × 138971535583_<12> × 11574660765633106207142130216121_<32> × 1166473872846702640651385746121578133_<37> × 212131495011935885085630670274047713928439_<42> × 208042304595249653784267400054593813861647027_<45> × 391361713329252026073031888405886176254933248449801321373676972760840801_<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:660008486 for P32 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / for P37 / September 3, 2022 2022 年 9 月 3 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1140458552 for P42 / September 3, 2022 2022 年 9 月 3 日) (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P72 / September 7, 2022 2022 年 9 月 7 日)

35×10²³⁷-449 = 3(8)₂₃₆4_<238> = 2² × 152323352631661_<15> × [6382620953552607535056270256060564476080791635261238848666308432044045168654433280491321132650716774214224316080511913252079606188684490723862143784078075024423578035623851664333282634679655552208674586274457933288599436961_<223>] Free to factor

35×10²³⁸-449 = 3(8)₂₃₇4_<239> = 2² × 191 × 811 × 1283 × 1549 × 17828265952129_<14> × 1632281370138707_<16> × [1085248314685466359198974031695495277461839009749743032944108471835209014942918049808671538907063720517661233464031106959877868500555492678670655186064440827365546160952670429949910118968842357054821_<199>] Free to factor

35×10²³⁹-449 = 3(8)₂₃₈4_<240> = 2² × 3 × 10103 × 5413553 × 592531636090817052350068755509791603122280177136353381410268925664048410025665605920197306881590512664290178378966759386637445851230786978748840823911031912634865957843347840073808705877107195305837929522382072617774167538643673_<228>

35×10²⁴⁰-449 = 3(8)₂₃₉4_<241> = 2² × 373 × 12097 × 27851 × 59723 × 4900067 × 851522209 × 392663470843242651981504724279_<30> × 79063880126150942118218118131469790327771252529439879548364571387826115636538791521283049834730721344481283299754483853830530658624727506058045993082287491567074780923856411023341_<179> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:489044416 for P30 x P179 / June 24, 2022 2022 年 6 月 24 日)

35×10²⁴¹-449 = 3(8)₂₄₀4_<242> = 2² × 17 × 3135547 × 18119001111187721_<17> × 10066281140204456109909938429967340575194358109338372455285635552846445638580299311404148987797362028531306236032614248758395454963503717814770694399355964286800799829791708123074484076756335602456287337914271036361199_<218>

35×10²⁴²-449 = 3(8)₂₄₁4_<243> = 2² × 3² × 19 × 3449 × 116589405546457_<15> × 623225636069132197303723_<24> × [2268672680816610626005315236492439288317978550917486626608072249945298719715988851668555050700642000091122038326889289969161408028659323403403358944382021764356588391619246294649507186262208340470309_<199>] Free to factor

35×10²⁴³-449 = 3(8)₂₄₂4_<244> = 2² × 467 × 6896143 × 29909076477437849_<17> × [10093444544034874614038629107777099107569796228735773053691020938611048278394533227315541975283007570794452263872471569813850504557481588164841829152963082821349304720611515237795628752574440324321830535971469278544409_<218>] Free to factor

35×10²⁴⁴-449 = 3(8)₂₄₃4_<245> = 2² × [9722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<244>] Free to factor

35×10²⁴⁵-449 = 3(8)₂₄₄4_<246> = 2² × 3 × 4268128283_<10> × 474678297786024428117053_<24> × 15995854623596697641095517260270784702519414079740716324897232360642982754081440282488117362144754177088720372839314939271008173579120825475099492977698475082225921932136469084555928239497696267693540896551222593_<212>

35×10²⁴⁶-449 = 3(8)₂₄₅4_<247> = 2² × 43 × 197 × 68515104456019049117778851_<26> × [1675114653185569299543312578653846376345369239213975392148689351569382147286496115643465212857774593647181931182926558659221716634119363392288638673803677312673475875677959145336744202712618685256765606651799869107401_<217>] Free to factor

35×10²⁴⁷-449 = 3(8)₂₄₆4_<248> = 2² × 23 × 2447 × 33023 × 2623694801846101665820904783_<28> × 1418915645324576797689082709391652663698887_<43> × [1405132637627983726234214989958732231422644390117458236977520478428747328427278590064927149864286272267530842215144962825507715550207380705744986364192602864822209485427_<169>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2575150503 for P43 / September 8, 2022 2022 年 9 月 8 日) Free to factor

35×10²⁴⁸-449 = 3(8)₂₄₇4_<249> = 2² × 3 × 103 × 22679 × 116279 × 420986925635663_<15> × 283408757822013595994079416230737118490869084733423270256223327443118466446521250016752205830311342247141420153937243753011056884869865239690277975630923053108897882076077294519318088800329683422241248458913072137988283943_<222>

35×10²⁴⁹-449 = 3(8)₂₄₈4_<250> = 2² × 59 × 6619 × 2184299729_<10> × 794219746144879844048461_<24> × 5136466015370884662386138218088570798359_<40> × 71225788303861544362379100673649980280797_<41> × 3922532539217143497558921001575692957342462329264475658784707161125457486220831162058822890212840974584118291652491987792449046523_<130> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:4232924698 for P40 / October 16, 2022 2022 年 10 月 16 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:1464533974 for P41 x P130 / October 19, 2022 2022 年 10 月 19 日)

35×10²⁵⁰-449 = 3(8)₂₄₉4_<251> = 2² × 460099 × 419508921083540572133_<21> × [50370127881667291899339093322414075411107887784548624967203678577323715517877227021962025303861441656208249821324577399753547719418503937072313462995280624336495203266816284031056239707641376025606913414400021309055666116163_<224>] Free to factor

35×10²⁵¹-449 = 3(8)₂₅₀4_<252> = 2² × 3³ × 276229 × 90953261249_<11> × 1707114271827303266094159204842156783040997202491_<49> × 83955980730843288523696607048579375608219685426939697145353577237428205083326838825225276651803871862836593586414099948416707846787199464357537947951951823947635399051230469422805146993_<185> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P49 x P185 / March 25, 2024 2024 年 3 月 25 日)

35×10²⁵²-449 = 3(8)₂₅₁4_<253> = 2² × 1031161 × 9775870416309557119797345922806931_<34> × [96445868527129346915616985772392869059232774517917219568095934943041054229049153058671673894210473117044668661747917284789439170046855405594773104992946240065657728591129412464053338932124735878665111208699844631_<212>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:718621647 for P34 / June 24, 2022 2022 年 6 月 24 日) Free to factor

35×10²⁵³-449 = 3(8)₂₅₂4_<254> = 2² × 503297 × 441300071 × 10670828162254298837749_<23> × 7113546928574671009998198327759116959_<37> × 576664049425611464840127142371820370628031334549900941672336591875400707441670835236242292073312324448902749405042178437634408258841118448551113901158399940246675259320586876373313_<180> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2821907582 for P37 x P180 / September 7, 2022 2022 年 9 月 7 日)

35×10²⁵⁴-449 = 3(8)₂₅₃4_<255> = 2² × 3 × 66749 × 587980109 × 340912211525031301_<18> × [2422112621418178009632522581698981974938840600999664467755915620376212733442666914130822850959969617144296455864424055956984396581027932846371048064009059104140953853315584529039915380854097564771342296377077555184692776027_<223>] Free to factor

35×10²⁵⁵-449 = 3(8)₂₅₄4_<256> = 2² × 13472281550275006499337942089_<29> × [72164630659932762447977387141888685143456905162267427844345261532706178958863765538767527101070913250524502482993517183408131587565306998485066182603639217780950962625098571580905945497091370376817497704238086553915936104426789_<227>] Free to factor

35×10²⁵⁶-449 = 3(8)₂₅₅4_<257> = 2² × 433 × 75825571 × 386156875996016421634556445151_<30> × 48313438063399843219028449145582000351_<38> × [15871948356559213337169458593306324080371616248466631713660126230808036845112743008210894194706985097877636744785979124646146662420435216420029700503109328388594479495545440411647_<179>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:520630996 for P30 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3873155071 for P38 / September 7, 2022 2022 年 9 月 7 日) Free to factor

35×10²⁵⁷-449 = 3(8)₂₅₆4_<258> = 2² × 3 × 17 × 107 × 1831 × 9730233123152513686740515688788802042944178164104729646139889192994814853290936650366468936097311138482534893199793612303231472693690937971454120399547169406794836411039430985752792496284413179592981123581266679079108051881336126254967937325021912763_<250>

35×10²⁵⁸-449 = 3(8)₂₅₇4_<259> = 2² × 1009108146895553_<16> × 1900402138412420323741_<22> × [506970070122145771449619542855391289362983070726794075518304605032178813335077798102210171108773463361583485809901298263080972439247946578851151620691910298804279697709256154320235665513898900351794959449522445190736852977_<222>] Free to factor

35×10²⁵⁹-449 = 3(8)₂₅₈4_<260> = 2² × 29 × 4357 × 19081 × 12241955939249_<14> × 12079475521697971217_<20> × [27269675126300519599826461207352289962012633940556878210514401227066015924016997916060582920418482745820767876231074326888353849098263565184972155622301923045359263289868407720912250714939975326258910027248228510445909_<218>] Free to factor

35×10²⁶⁰-449 = 3(8)₂₅₉4_<261> = 2² × 3² × 19 × 568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551007147498375568551_<258>

35×10²⁶¹-449 = 3(8)₂₆₀4_<262> = 2² × 1409 × 120997 × [5702692417124092497235645920250145872102150860254377217736754837467051806569389174845675057573747200415501167498532096014359137060423702603764045380300457814037281923249663019595434615279232135424916935087347784556819172479539989311668451599617182363977_<253>] Free to factor

35×10²⁶²-449 = 3(8)₂₆₁4_<263> = 2² × 47 × 193 × 55948658500444636636219384620943381065008090219437_<50> × [19156700034001348764613665437696737049290526290703320826175801872081132683058600337641328360020679162936037551197968838267621024337969279253857856540060671719560128286522907656214757394873161685102500445963823_<209>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P50 / April 12, 2024 2024 年 4 月 12 日) Free to factor

35×10²⁶³-449 = 3(8)₂₆₂4_<264> = 2² × 3 × 230195548853510331170479_<24> × 204670243162400426148884818007833748183_<39> × 687848289487990893991002232091038388769530116866754343003824118626572009379928242412757927625636621769858572399335992181658062022195330793161112547860676271122690746648598869304511787187692806465275751_<201> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:290436029 for P39 x P201 / September 6, 2022 2022 年 9 月 6 日)

35×10²⁶⁴-449 = 3(8)₂₆₃4_<265> = 2² × [972222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<264>] Free to factor

35×10²⁶⁵-449 = 3(8)₂₆₄4_<266> = 2² × 773 × 1296944189_<10> × 2433171707_<10> × 1058809758241_<13> × 17473093587099347713_<20> × 143463283363655323891253_<24> × 1196395499182081307515965287_<28> × 10182691034079810134236039513_<29> × 55675032241054483589206025208785681969_<38> × 2213939178100261028377519966930495114166582090328235472279312679474137923775892461936245122923509_<97> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2360091195 for P38 x P97 / June 24, 2022 2022 年 6 月 24 日)

35×10²⁶⁶-449 = 3(8)₂₆₅4_<267> = 2² × 3 × 71 × 32717 × 730139181312596676708611_<24> × [19107629498659566099479007398329047142095460998660850724918608472971590421571664662626318310813168427518054753927444320854270958170030769137286255807395152348276620787407057675749612794792518213221032624051827698985590675573517873900991_<236>] Free to factor

35×10²⁶⁷-449 = 3(8)₂₆₆4_<268> = 2² × 43 × 157 × 1789 × 1904423967659_<13> × 13218801122961691_<17> × 31009160404822760599414665302437220161643_<41> × [103119638116219056529351001961197607890137018977414559051142074975832587659547828982948151230679467918956691411798308630718610832343717677637513769578678260988155159075347055428486611120838917_<192>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P41 / February 14, 2024 2024 年 2 月 14 日) Free to factor

35×10²⁶⁸-449 = 3(8)₂₆₇4_<269> = 2² × 139074960612663025445819843_<27> × [69906345321927032727028442979826727236462144097547329998653984783182383310299887407924621211179918598451783773572833704533300473188745622248099356716421756714510213182733904939080702875338869547566499281513552046006161752461862428699174747247_<242>] Free to factor

35×10²⁶⁹-449 = 3(8)₂₆₈4_<270> = 2² × 3² × 23 × 397 × 3561253 × 23766224371_<11> × 101531764693_<12> × 2978737885657586981_<19> × 860885433554145685339_<21> × [53686128580823266216629621513903236821105457160160034182994743867297535704793276409669356208455030492117073900216249264582329897421071886024816906426240183281610513637677536326620817068640907591179_<197>] Free to factor

35×10²⁷⁰-449 = 3(8)₂₆₉4_<271> = 2² × 60589 × 114601 × 35074254150983_<14> × 1819686537166193640363282867037162963_<37> × 2193806531003950171853717684102155474877877355034259880080360875051643533812142530608845784251078829111623162015249676773465142411782780749205324028033593466656953298154818812216520109081191943449321455196435941_<211> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:115397187 for P37 x P211 / June 24, 2022 2022 年 6 月 24 日)

35×10²⁷¹-449 = 3(8)₂₇₀4_<272> = 2² × 167 × 1439 × 847589 × 765748283 × 1308686999_<10> × [47630062020995905872246671687827109387394160681838278046714583700295604933555276862990894132822882569261108165224533051634613722062432705710394019102987696973088113308873985371749178445637156336278638849380425640704332606221061927496984207509_<242>] Free to factor

35×10²⁷²-449 = 3(8)₂₇₁4_<273> = 2² × 3 × 1223089386986359719193_<22> × 26496352394372321615466582967538158740812776963553061405645025002105524510939659169802481248998349575548313529023725937161261766189862502944496492817895904042105931750217090771077670636950359695094688008905234538105701446299414350966514804820423416199_<251>

35×10²⁷³-449 = 3(8)₂₇₂4_<274> = 2² × 17 × 220747273 × 62764218886133_<14> × [4127709706780258011698864778667796012710157384104899151792376614039351475867730331423733841016297416528431277563333484204068831349483102226568134741483172543875874731565932632357806644159345554190290631004582726048398147493368425027696690916205162657_<250>] Free to factor

35×10²⁷⁴-449 = 3(8)₂₇₃4_<275> = 2² × 1667 × 47084586699020949733375748207160690557302043_<44> × [123865734178242525486014095166801498490186758590277417223594102956762950439672045178605106949868012104863265813976008136499933605567703127989601624999569601725117623085315059417509734034975389110636635602521665121511960892985341_<228>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3674646593 for P44 / October 12, 2022 2022 年 10 月 12 日) Free to factor

35×10²⁷⁵-449 = 3(8)₂₇₄4_<276> = 2² × 3 × 184711889 × 65212862546971040968039680139099_<32> × 2690395791429174815095430540565117390892885048569886378026589362972078940674238320870048600004231598866401340896868634043459890881812621772091551983787489378681589827644009132219073467041933014532731703969880936232642838250524010421037_<235> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3699568525 for P32 x P235 / June 24, 2022 2022 年 6 月 24 日)

35×10²⁷⁶-449 = 3(8)₂₇₅4_<277> = 2² × 499 × 145933 × 3833480999_<10> × 804120043024943_<15> × 1127199669495296711722834589_<28> × 236724805201762075160858617237713997_<36> × [16231276074235851461201952940726505615530049721632970720079219414639387227180656975274055798587732217857250249949239305454967412960978960483397799557668188650735003411819221603052123_<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2373075740 for P36 / June 24, 2022 2022 年 6 月 24 日) Free to factor

35×10²⁷⁷-449 = 3(8)₂₇₆4_<278> = 2² × 269 × 769 × 2475779 × 515833715334281_<15> × 267671476557631261774331_<24> × 365958235515660065235892181565641_<33> × [375691790194536787860398965141380778501792608788221859166618155542642045325558965040123648446445141452509739016102098227573324387679066487968484825599781394869761862023715648716063595791915767809_<195>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3532710651 for P33 / June 24, 2022 2022 年 6 月 24 日) Free to factor

35×10²⁷⁸-449 = 3(8)₂₇₇4_<279> = 2² × 3⁴ × 19 × 3787640747702948723_<19> × [16678544332857146250184207524038719704445933081412565739932158707921485926126397063296925750693174762027254684103258017564127908220866427097398464502842892193371163517947336899281234699996759854806246126053015624603462991009323710352690523219217969482398293_<257>] Free to factor

35×10²⁷⁹-449 = 3(8)₂₇₈4_<280> = 2² × 28879 × 972985135667009417834771_<24> × 86871715816723083891778440180239_<32> × 11338410586489989420591030935805002638093_<41> × 35127448701797484355526458271561651813594768927287815368550374978129202706161117174480415098651084039188391589685512443944809424519063396766764814079714576777119423165189408108347_<179> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2741058845 for P32 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2714278508 for P41 x P179 / September 7, 2022 2022 年 9 月 7 日)

35×10²⁸⁰-449 = 3(8)₂₇₉4_<281> = 2² × 8053 × 76607 × 299824907 × [52561975750806622154529050199956467390054389799038899548030130911722285886188748693043398979254255841997653146228785338002439088910554112955479180122111145310452220181799836494069260404033996575417320687750775245871364076491142739090753339316457313338954749016693_<263>] Free to factor

35×10²⁸¹-449 = 3(8)₂₈₀4_<282> = 2² × 3 × 4561114121008141395484000331513725066427719986505491555672073_<61> × 7105151624718482144300810564755255304810834153362425918737181641575696467250987529643571030531186282233505573872241647039043666154189821483885187212998940527750208536196097687773215620146624047737497336632308475413648759_<220> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P61 x P220 / April 13, 2024 2024 年 4 月 13 日)

35×10²⁸²-449 = 3(8)₂₈₁4_<283> = 2² × 61 × 103 × 5333177613438055505269_<22> × 4737416153555298362234857_<25> × [6124503678927222941598917637559666623383046597917061769267370089050605755145554044668472617099811550277344312798373052094523196513555365764390484107782939729839542839850140609945611004959571699109415602012193702411951906663907819539_<232>] Free to factor

35×10²⁸³-449 = 3(8)₂₈₂4_<284> = 2² × 4458337593043_<13> × 1545363578911618144853_<22> × 939864052994500821810811_<24> × 272120772534607168502327161_<27> × 5517409081768165152977804295411673788084998270473723716613764603543902438885396431734151509866891319691782303998523740619675026534796313868092726205894149834643810608861276868710318690991670295216769_<199>

35×10²⁸⁴-449 = 3(8)₂₈₃4_<285> = 2² × 3 × 479 × 122323 × 53692815049638797_<17> × 669628638464723922925661096745541411894842434651_<48> × [15383333611424327192007179923696265998501568502553413232773493486952331289472187819248764289404954185443799849019140688904896106585260667377076148890991151174038076577256499411380431274392313646843723494158797493_<212>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P48 / April 13, 2024 2024 年 4 月 13 日) Free to factor

35×10²⁸⁵-449 = 3(8)₂₈₄4_<286> = 2² × 574856263 × 6902723100067051_<16> × 2035321155251562869_<19> × 282638236160340331787370373_<27> × 142166901798712278388306309330458341_<36> × [2995873449596472356728054364473768568374829470530345283089757588666405907409328431286963888998903881025104711270530696741534141406098524173107819358697175353126004655752090884288101_<181>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:956606116 for P36 / June 24, 2022 2022 年 6 月 24 日) Free to factor

35×10²⁸⁶-449 = 3(8)₂₈₅4_<287> = 2² × 97 × 11941 × 280681 × 296279 × 612777301187_<12> × 1392825132801169784202338236707434359_<37> × 241496326592238710065354102905414625247_<39> × 489699242523142121127389598960011023655297376321101107901872502954644002139874156002484627862122183527710710199065500124438952053718870107676559838187738014421121310066104751911697477_<183> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3332797904 for P37, B1=1000000, sigma=1:2924395611 for P39 x P183 / June 24, 2022 2022 年 6 月 24 日)

35×10²⁸⁷-449 = 3(8)₂₈₆4_<288> = 2² × 3² × 29 × 547 × 59119 × 1854661 × 6267865843_<10> × 8482586809_<10> × [116814858108818631569745461013557972041364700181715254684599084937260281211509670212874647700294049413821511850433456470962136652901313243527735872357644047854421571474712917209355411762722502966913599960836734532409934219162845220666077391118636764011_<252>] Free to factor

35×10²⁸⁸-449 = 3(8)₂₈₇4_<289> = 2² × 43 × 8443 × [2677936648282249013830701151145498878174081796733284548978849197277012806046077037045198367774659129269663935783385224094329476798509904233924958400166980826891748007079546348350283907192203317519734862848326871089638649940427386447069740509469030963374702098675997516098990004716229_<283>] Free to factor

35×10²⁸⁹-449 = 3(8)₂₈₈4_<290> = 2² × 17 × 829 × 505447 × [1364854853461854129722485948953000389998040158744824223688408922670945142158502906773785508215152075140046377230401796657093760812695528085590494097937419180302157868877256141750321942692057032430309575008795812172595803225883328238689707124486675510037323618907067859100333032151_<280>] Free to factor

35×10²⁹⁰-449 = 3(8)₂₈₉4_<291> = 2² × 3 × 133979 × 335319121808183_<15> × 1195876801765447_<16> × 3443055934591104757_<19> × 175193793822728592084992580216440984539536039285926031071710637150194711224105692216993359167301167352265000666774430816642996472394723031258460075855229435792275341645134909730407857879695857985638479272229847419505755376450410624292969_<237>

35×10²⁹¹-449 = 3(8)₂₉₀4_<292> = 2² × 23 × 49727 × 907397 × 1917859 × 255412350673449313453103_<24> × [1912447580700978039213463914811528958221155813806512868225154740049052734643371686620031242809101541976871165060251279549363287535078956044178300260840376434602994478554187496084635755720040307874010561434530205275924506060591290799322311266500216229_<250>] Free to factor

35×10²⁹²-449 = 3(8)₂₉₁4_<293> = 2² × 3371 × 9241 × 37441 × 253553 × 949567 × [34621510712641782405443275778721876275960788853627527556000021762816071338583156546179023986653122017171924631925721736965323403775956157677900911860123166442311419402044021676088763294826378286082017677509590536296381369383339809230695107113098320006748014416352707921_<269>] Free to factor

35×10²⁹³-449 = 3(8)₂₉₂4_<294> = 2² × 3 × 937 × 1409 × 24683 × 9473621 × 300214987 × [349661153877355602731960668446057201923403402555668471703870672832180615212984446642861395757703668144632210893601439751643567448597260522413580242345552586142461841373400117493848786426229319444719370710127991890846082124983272120125031759912209994772418231717946419_<267>] Free to factor

35×10²⁹⁴-449 = 3(8)₂₉₃4_<295> = 2² × 14236424243869_<14> × 238793479496483304318023336503_<30> × 14483932808501694148924365314790582671_<38> × [19744932660694455631036868786266572923356997675453363181804221805764339012989831276010972215138628403024594323808564796966604812521900618974492596103875226730771186436943982898632845775026857600467622998755007742393_<215>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1189750481 for P30 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:173286341 for P38 / October 12, 2022 2022 年 10 月 12 日) Free to factor

35×10²⁹⁵-449 = 3(8)₂₉₄4_<296> = 2² × 49861997 × 80334145985039119290018458386251933961067_<41> × [2427144842968576843042796429777014344116188776942177772509238251528555778456213169026445916879008718324334845472492770335746010895356080100135740721630528141585489204366612330758809163907000316303968288557802875811186777996927581092822015442290979_<247>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1925584266 for P41 / September 5, 2022 2022 年 9 月 5 日) Free to factor

35×10²⁹⁶-449 = 3(8)₂₉₅4_<297> = 2² × 3² × 19 × 461 × 5869 × 93154599583_<11> × 687870336984397361777_<21> × [3279393360875769651057582404945370185536280077834671534530594626272910845057733829078679716148487093332773513738193969352189329693094299179403460988460337576716946626002818970162255817291858225156866211676892479958917051726924302935035683583438661640126529_<256>] Free to factor

35×10²⁹⁷-449 = 3(8)₂₉₆4_<298> = 2² × 109 × [8919469928644240570846075433231396534148827726809378185524974515800203873598369011213047910295616717635066258919469928644240570846075433231396534148827726809378185524974515800203873598369011213047910295616717635066258919469928644240570846075433231396534148827726809378185524974515800203873598369_<295>] Free to factor

35×10²⁹⁸-449 = 3(8)₂₉₇4_<299> = 2² × 196831 × 271489 × [181936487893238453094434043295223806226028179882272184810733353938775039217383013706655287534822235387332373285729894052116936818566475117925397580940088079140051081608362717840340223517399472880467510662781911028718719441019032567559959595905813832550415930891293879871772314668526409619_<288>] Free to factor

35×10²⁹⁹-449 = 3(8)₂₉₈4_<300> = 2² × 3 × 9811 × 150563993925289323065646292771458424889201_<42> × 21938649342508232196220672141141414134955476339568056889899221418232431401172039019822328569915123613285252533181965841974508844405674673137498810853752795070992639508903747931397089470689399743915469189679840091706513064140012362391195273989795603020037_<254> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1926708410 for P42 x P254 / October 12, 2022 2022 年 10 月 12 日)

35×10³⁰⁰-449 = 3(8)₂₉₉4_<301> = 2² × 7323743614331371_<16> × 196027265428572077937961_<24> × 433809972389266411861329495919_<30> × [1561048507325903660278184891754121763846387199242918779999092080267611164355584085552353052353500231399840693708497853037336653438692245628348658791001962452113975500569297802488210762573282529599149315943419174629289936382447649889_<232>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3039045893 for P30 / June 24, 2022 2022 年 6 月 24 日) Free to factor

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