Factorization of 899...998

Table of contents 目次

About 899...998 899...998 について
Prime numbers of the form 899...998 899...998 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 899...998 899...998 の素因数分解表

1. About 899...998 899...998 について

1.1. Classification 分類

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

1.2. Sequence 数列

89w8 = { 88, 898, 8998, 89998, 899998, 8999998, 89999998, 899999998, 8999999998, 89999999998, … }

2. Prime numbers of the form 899...998 899...998 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 899...998 exists. 899...998 の形の素数は存在しません。

3. Factor table of 899...998 899...998 の素因数分解表

3.2. Range of factorization 分解範囲

n≤100 / Completed 終了 / May 3, 2022 2022 年 5 月 3 日
n≤150 / Completed 終了 / May 9, 2022 2022 年 5 月 9 日
n≤200 / Completed 終了 / August 11, 2022 2022 年 8 月 11 日
n≤300 / Remaining 48 残り 48

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

n=207, 210, 212, 213, 216, 218, 220, 224, 225, 227, 233, 236, 238, 239, 242, 245, 246, 247, 249, 250, 253, 254, 255, 259, 261, 264, 267, 268, 271, 272, 273, 275, 277, 278, 279, 280, 281, 285, 286, 289, 291, 293, 294, 295, 296, 297, 298, 299 (48/300)

3.4. Factor table 素因数分解表

9×10¹-2 = 88 = 2³ × 11

9×10²-2 = 898 = 2 × 449

9×10³-2 = 8998 = 2 × 11 × 409

9×10⁴-2 = 89998 = 2 × 17 × 2647

9×10⁵-2 = 899998 = 2 × 11² × 3719

9×10⁶-2 = 8999998 = 2 × 7 × 113 × 5689

9×10⁷-2 = 89999998 = 2 × 11 × 19 × 139 × 1549

9×10⁸-2 = 899999998 = 2 × 31 × 14516129

9×10⁹-2 = 8999999998_<10> = 2 × 11 × 2311 × 177019

9×10¹⁰-2 = 89999999998_<11> = 2 × 15679 × 2870081

9×10¹¹-2 = 899999999998_<12> = 2 × 11 × 71 × 1019 × 565441

9×10¹²-2 = 8999999999998_<13> = 2 × 7 × 23 × 337 × 82938607

9×10¹³-2 = 89999999999998_<14> = 2 × 11 × 29 × 141065830721_<12>

9×10¹⁴-2 = 899999999999998_<15> = 2 × 233 × 17047 × 113294449

9×10¹⁵-2 = 8999999999999998_<16> = 2 × 11 × 409090909090909_<15>

9×10¹⁶-2 = 89999999999999998_<17> = 2 × 26621207 × 1690381657_<10>

9×10¹⁷-2 = 899999999999999998_<18> = 2 × 11 × 7789 × 5252162140081_<13>

9×10¹⁸-2 = 8999999999999999998_<19> = 2 × 7³ × 13119533527696793_<17>

9×10¹⁹-2 = 89999999999999999998_<20> = 2 × 11 × 59 × 76081 × 911363444471_<12>

9×10²⁰-2 = 899999999999999999998_<21> = 2 × 17 × 1801 × 252881 × 58121080487_<11>

9×10²¹-2 = 8999999999999999999998_<22> = 2 × 11 × 1481 × 20031701 × 13789449889_<11>

9×10²²-2 = 89999999999999999999998_<23> = 2 × 12823 × 176713 × 19858862630801_<14>

9×10²³-2 = 899999999999999999999998_<24> = 2 × 11 × 31 × 61 × 491 × 2618461 × 16826767649_<11>

9×10²⁴-2 = 8999999999999999999999998_<25> = 2 × 7 × 8999 × 329987479 × 216482483017_<12>

9×10²⁵-2 = 89999999999999999999999998_<26> = 2 × 11 × 19 × 215311004784688995215311_<24>

9×10²⁶-2 = 899999999999999999999999998_<27> = 2 × 569 × 790861159929701230228471_<24>

9×10²⁷-2 = 8999999999999999999999999998_<28> = 2 × 11² × 63311 × 587418973711173400729_<21>

9×10²⁸-2 = 89999999999999999999999999998_<29> = 2 × 929 × 108881 × 444881861078046227951_<21>

9×10²⁹-2 = 899999999999999999999999999998_<30> = 2 × 11 × 40909090909090909090909090909_<29>

9×10³⁰-2 = 8999999999999999999999999999998_<31> = 2 × 7 × 431 × 272807 × 12060081919_<11> × 453347720159_<12>

9×10³¹-2 = 89999999999999999999999999999998_<32> = 2 × 11 × 13425119 × 10495250531_<11> × 29034133848481_<14>

9×10³²-2 = 899999999999999999999999999999998_<33> = 2 × 47743 × 54377 × 17104401599_<11> × 10133971535591_<14>

9×10³³-2 = 8999999999999999999999999999999998_<34> = 2 × 11 × 9461 × 483809 × 2450831 × 36466617197787911_<17>

9×10³⁴-2 = 89999999999999999999999999999999998_<35> = 2 × 23 × 449 × 1583 × 11447 × 7310857 × 32892542905597241_<17>

9×10³⁵-2 = 899999999999999999999999999999999998_<36> = 2 × 11 × 149 × 229 × 1840789 × 651319479905648011377761_<24>

9×10³⁶-2 = 8999999999999999999999999999999999998_<37> = 2 × 7 × 17 × 174257 × 151289669407_<12> × 1434386025751169879_<19>

9×10³⁷-2 = 89999999999999999999999999999999999998_<38> = 2 × 11 × 89 × 109 × 701 × 1439 × 36979 × 11304968315951708905889_<23>

9×10³⁸-2 = 899999999999999999999999999999999999998_<39> = 2 × 31 × 14516129032258064516129032258064516129_<38>

9×10³⁹-2 = 8999999999999999999999999999999999999998_<40> = 2 × 11 × 2371 × 7505688419_<10> × 22987817620934624988883541_<26>

9×10⁴⁰-2 = 89999999999999999999999999999999999999998_<41> = 2 × 47 × 230977 × 4145204104783758979778681104750321_<34>

9×10⁴¹-2 = 899999999999999999999999999999999999999998_<42> = 2 × 11 × 29 × 199 × 19200941 × 31302751 × 89302657219_<11> × 132068532751_<12>

9×10⁴²-2 = 8999999999999999999999999999999999999999998_<43> = 2 × 7 × 727 × 66334273 × 13330366475742387458579436238367_<32>

9×10⁴³-2 = 89999999999999999999999999999999999999999998_<44> = 2 × 11 × 19 × 29920846937193131_<17> × 7196019726201215609980781_<25>

9×10⁴⁴-2 = 899999999999999999999999999999999999999999998_<45> = 2 × 151 × 58481 × 116687 × 422741593 × 769675847 × 1342194528182377_<16>

9×10⁴⁵-2 = 8999999999999999999999999999999999999999999998_<46> = 2 × 11 × 12781 × 276961 × 5881801 × 19648348308040803055665778249_<29>

9×10⁴⁶-2 = 89999999999999999999999999999999999999999999998_<47> = 2 × 71 × 551462161273399_<15> × 1149313337179606296927157927231_<31>

9×10⁴⁷-2 = 899999999999999999999999999999999999999999999998_<48> = 2 × 11 × 612341 × 1449661 × 1817857404841_<13> × 25351299183660186372149_<23>

9×10⁴⁸-2 = 8999999999999999999999999999999999999999999999998_<49> = 2 × 7 × 729577 × 4720057 × 17467321 × 2078695454239_<13> × 5141370820327727_<16>

9×10⁴⁹-2 = 89999999999999999999999999999999999999999999999998_<50> = 2 × 11² × 371900826446280991735537190082644628099173553719_<48>

9×10⁵⁰-2 = 899999999999999999999999999999999999999999999999998_<51> = 2 × 107825401 × 4173413646752864846753502915328828686665399_<43>

9×10⁵¹-2 = 8(9)₅₀8_<52> = 2 × 11 × 41232109694348791_<17> × 9921658438616796180388705533946699_<34>

9×10⁵²-2 = 8(9)₅₁8_<53> = 2 × 17 × 743 × 3562663288734066978069828200459187712770168632729_<49>

9×10⁵³-2 = 8(9)₅₂8_<54> = 2 × 11 × 31 × 139 × 27381901 × 11905093001680513379_<20> × 29123726649172057464719_<23>

9×10⁵⁴-2 = 8(9)₅₃8_<55> = 2 × 7 × 2111 × 3584007979452932811239_<22> × 84968367172808801043900827633_<29>

9×10⁵⁵-2 = 8(9)₅₄8_<56> = 2 × 11 × 34591 × 124746937112921_<15> × 40900490410375471_<17> × 23179192627401851189_<20>

9×10⁵⁶-2 = 8(9)₅₅8_<57> = 2 × 23 × 137119 × 215063 × 1082264759_<10> × 613038604207265328263343494321655031_<36>

9×10⁵⁷-2 = 8(9)₅₆8_<58> = 2 × 11 × 751 × 7978209929881_<13> × 68277000219416350276812383667234760207339_<41>

9×10⁵⁸-2 = 8(9)₅₇8_<59> = 2 × 4586831 × 32514161 × 16339958863_<11> × 432001816879_<12> × 42745528469180946127457_<23>

9×10⁵⁹-2 = 8(9)₅₈8_<60> = 2 × 11 × 1151 × 45230929 × 366181771 × 5852858245405421_<16> × 366643736877217042773181_<24>

9×10⁶⁰-2 = 8(9)₅₉8_<61> = 2 × 7² × 18847175639833_<14> × 4872705409492925637307504916250490026737683847_<46>

9×10⁶¹-2 = 8(9)₆₀8_<62> = 2 × 11 × 19 × 9429569 × 22833599794931135793726203688067714994748010729301519_<53>

9×10⁶²-2 = 8(9)₆₁8_<63> = 2 × 193 × 8087212879_<10> × 288307758495024069327559618397432499535567384752017_<51>

9×10⁶³-2 = 8(9)₆₂8_<64> = 2 × 11 × 55346495719_<11> × 1470921073631_<13> × 5025049335200078980706559943327470470981_<40>

9×10⁶⁴-2 = 8(9)₆₃8_<65> = 2 × 4297 × 1350857 × 1284604999_<10> × 3169758175231_<13> × 1903890838949438239840292695065799_<34>

9×10⁶⁵-2 = 8(9)₆₄8_<66> = 2 × 11 × 10345649 × 614475299 × 414486151757240060581_<21> × 15525572874758390651369590339_<29>

9×10⁶⁶-2 = 8(9)₆₅8_<67> = 2 × 7 × 449 × 1217 × 2447 × 248447 × 75201767 × 31060198690924031_<17> × 828471462593458721742693953_<27>

9×10⁶⁷-2 = 8(9)₆₆8_<68> = 2 × 11 × 1619 × 5351 × 84509371 × 125092831 × 45904751531_<11> × 973067790791541057176155476734831_<33>

9×10⁶⁸-2 = 8(9)₆₇8_<69> = 2 × 17 × 31 × 2113 × 2999 × 200639 × 1163417 × 1553816992616513_<16> × 371514106819445859240188014846129_<33>

9×10⁶⁹-2 = 8(9)₆₈8_<70> = 2 × 11 × 29 × 971 × 81119 × 179093577809284414372703118571446596031648299685725503159229_<60>

9×10⁷⁰-2 = 8(9)₆₉8_<71> = 2 × 377318177 × 22623920519_<11> × 82590206322719_<14> × 797313521597759_<15> × 80053300032532933704713_<23>

9×10⁷¹-2 = 8(9)₇₀8_<72> = 2 × 11² × 64279 × 8777641 × 774273713261_<12> × 12667165147617049_<17> × 672057248254944873651718136389_<30>

9×10⁷²-2 = 8(9)₇₁8_<73> = 2 × 7 × 1844417 × 740938929873022147849_<21> × 4683355079786756190919_<22> × 100442116941228814902391_<24>

9×10⁷³-2 = 8(9)₇₂8_<74> = 2 × 11 × 106651095983785681_<18> × 85216475875702784069542879_<26> × 450122721331742299459243188691_<30>

9×10⁷⁴-2 = 8(9)₇₃8_<75> = 2 × 18919529 × 14103304153993_<14> × 1686480489211252472114792936068473666352326443412984367_<55>

9×10⁷⁵-2 = 8(9)₇₄8_<76> = 2 × 11 × 40531 × 1309999 × 20166564161_<11> × 382058294833738621727870805620497147689126948720565601_<54>

9×10⁷⁶-2 = 8(9)₇₅8_<77> = 2 × 401 × 4153 × 169214907202146703_<18> × 159686274891556224588050579148487857467313270487082761_<54>

9×10⁷⁷-2 = 8(9)₇₆8_<78> = 2 × 11 × 59² × 2069 × 90623089 × 12188510389459_<14> × 424013799399615465832271_<24> × 12127906230150900515352661_<26>

9×10⁷⁸-2 = 8(9)₇₇8_<79> = 2 × 7 × 23 × 1010567 × 27658047966147926045600364550281645897490657218956110654490397485300777_<71>

9×10⁷⁹-2 = 8(9)₇₈8_<80> = 2 × 11 × 19 × 719 × 60859 × 3558241 × 19703291 × 3170661212531_<13> × 7803280141424041_<16> × 2836686591170787133979756891_<28>

9×10⁸⁰-2 = 8(9)₇₉8_<81> = 2 × 170809 × 415873 × 6334918593296210637830068315025711013857018851756951740469806893791607_<70>

9×10⁸¹-2 = 8(9)₈₀8_<82> = 2 × 11 × 71 × 89 × 96199 × 167950831 × 42755897076320438635101289_<26> × 93717940409768324174812865179887427171_<38>

9×10⁸²-2 = 8(9)₈₁8_<83> = 2 × 97 × 4801 × 20521 × 91285352425848649_<17> × 83799085562522071794953_<23> × 615559696803060784623591716327191_<33>

9×10⁸³-2 = 8(9)₈₂8_<84> = 2 × 11 × 31 × 61 × 33809 × 2317576482183145559_<19> × 276097134419199520142018314418188072087812951795359485129_<57>

9×10⁸⁴-2 = 8(9)₈₃8_<85> = 2 × 7 × 17 × 439 × 3176447 × 487893354819911_<15> × 222979137076872667971346785007_<30> × 249270155913047836721335269481_<30> (Eric Jeancolas / ECM for P30(2229...) x P30(2492...) / May 3, 2022 2022 年 5 月 3 日)

9×10⁸⁵-2 = 8(9)₈₄8_<86> = 2 × 11 × 39241 × 313249 × 81594259 × 3054555727999_<13> × 1335310959683327707106104226377037398332010262993565961_<55>

9×10⁸⁶-2 = 8(9)₈₅8_<87> = 2 × 47 × 839 × 24764118365126592035654391991_<29> × 460818412921396163295805799979662474632671325057701233_<54>

9×10⁸⁷-2 = 8(9)₈₆8_<88> = 2 × 11 × 566301829141_<12> × 722390230862298819023427126541393999394542579123964982377995898324410443049_<75>

9×10⁸⁸-2 = 8(9)₈₇8_<89> = 2 × 4513 × 85982056343_<11> × 115968316548759959380990891975155191227445640583636397553460964542879093561_<75>

9×10⁸⁹-2 = 8(9)₈₈8_<90> = 2 × 11 × 10979 × 32833559459_<11> × 7369004980219772291_<19> × 15400337080353419813314531136481724371100168694938569959_<56>

9×10⁹⁰-2 = 8(9)₈₉8_<91> = 2 × 7 × 86143120841_<11> × 7462663722663431117690090315741720309225743887594183350639597741168896097794177_<79>

9×10⁹¹-2 = 8(9)₉₀8_<92> = 2 × 11 × 131 × 709 × 15391 × 110334751 × 4400909059_<10> × 5893601210127877498522777336132999061495187454069141239376845809_<64>

9×10⁹²-2 = 8(9)₉₁8_<93> = 2 × 44383 × 152657 × 25951727 × 2559250943264382136016707907993295398390808519693936258832379807750704163327_<76>

9×10⁹³-2 = 8(9)₉₂8_<94> = 2 × 11² × 191 × 499 × 5669 × 6469 × 619306873773121_<15> × 290035973641069034279_<21> × 59236836136413093325892666933912818191682909_<44>

9×10⁹⁴-2 = 8(9)₉₃8_<95> = 2 × 1193 × 8263 × 12945864031_<11> × 352617024173966223718036454012119590992929216818919667152141319033071746794431_<78>

9×10⁹⁵-2 = 8(9)₉₄8_<96> = 2 × 11 × 4359084211_<10> × 9384790228612288924396989794490324676801498687333092471635458136161001339028522591919_<85>

9×10⁹⁶-2 = 8(9)₉₅8_<97> = 2 × 7 × 128831 × 1639698804293745510799876777973498441_<37> × 3043196641352301559868643585190013352573295157503666367_<55> (Eric Jeancolas / ECM for P37 x P55 / May 3, 2022 2022 年 5 月 3 日)

9×10⁹⁷-2 = 8(9)₉₆8_<98> = 2 × 11 × 19 × 29 × 1041109 × 7131354552086847815077264750432703217742877192019776100667686714597507452855428426759151_<88>

9×10⁹⁸-2 = 8(9)₉₇8_<99> = 2 × 31 × 449 × 2317604637489848833545302246018903473_<37> × 13949708347506992376117985178493102198049097384461744403377_<59> (Eric Jeancolas / ECM for P37 x P59 / May 3, 2022 2022 年 5 月 3 日)

9×10⁹⁹-2 = 8(9)₉₈8_<100> = 2 × 11 × 139 × 571 × 1949 × 2341 × 4690111 × 1913668481742086474462821025974841_<34> × 125865249786938135186242420113272199038631687379_<48> (Eric Jeancolas / ECM for P34 x P48 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁰⁰-2 = 8(9)₉₉8_<101> = 2 × 17 × 23 × 3193703 × 36036385996598983588287467597292934831968534360293243063990900514635067851425693084588618063_<92>

9×10¹⁰¹-2 = 8(9)₁₀₀8_<102> = 2 × 11 × 18757672476880825887374316569_<29> × 2180925749690539229998464180052959115040221928569729264728029486190725861_<73>

9×10¹⁰²-2 = 8(9)₁₀₁8_<103> = 2 × 7² × 9069103 × 52827816341388047_<17> × 8299023792967156590161002522447_<31> × 23097364627761377101153348706772559196922940513_<47> (Eric Jeancolas / ECM for P31 x P47 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁰³-2 = 8(9)₁₀₂8_<104> = 2 × 11 × 1381 × 5231 × 11995943681_<11> × 606380593371909575809_<21> × 77850555927152569311365339100779162043070466035752233430387819511_<65>

9×10¹⁰⁴-2 = 8(9)₁₀₃8_<105> = 2 × 4423057 × 5391553 × 4068715272502703213383_<22> × 2837972378725592825425899356329_<31> × 1634220429971175705253847654880795024017_<40> (Eric Jeancolas / ECM for P31 x P40 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁰⁵-2 = 8(9)₁₀₄8_<106> = 2 × 11 × 379 × 2179 × 40583074478195399_<17> × 4297468471070600821_<19> × 682562293594489193380141807931_<30> × 4161246578727644825172807424992301_<34> (Eric Jeancolas / ECM for P30 x P34 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁰⁶-2 = 8(9)₁₀₅8_<107> = 2 × 1585267121_<10> × 65772791192255635431307848103727_<32> × 431582462956105496388183614127814503671010731154900253091380909697_<66> (Eric Jeancolas / ECM for P32 x P66 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁰⁷-2 = 8(9)₁₀₆8_<108> = 2 × 11 × 349 × 421 × 3277090351_<10> × 36991524608962439596996932677278312039_<38> × 2296791960864197408822349011211876825229442022928186789_<55> (Eric Jeancolas / ECM for P38 x P55 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁰⁸-2 = 8(9)₁₀₇8_<109> = 2 × 7 × 57047 × 15669837158105929_<17> × 295064203445151815009_<21> × 9881652143735681129329_<22> × 246644305629852624033945978648164930619314999_<45>

9×10¹⁰⁹-2 = 8(9)₁₀₈8_<110> = 2 × 11 × 4931 × 18401 × 1947119 × 107322661181_<12> × 1849751366094356153983849_<25> × 116639625467399799451262513017235171486159151506148099449149_<60>

9×10¹¹⁰-2 = 8(9)₁₀₉8_<111> = 2 × 5446944460989134249_<19> × 82615125456645935751913236927172385759718628472672625704425292662337003554802921086496571751_<92>

9×10¹¹¹-2 = 8(9)₁₁₀8_<112> = 2 × 11 × 875681633321334914273309034865873459790876575511_<48> × 467168538797925807978288810069473821522564949632893508902914219_<63> (Eric Jeancolas / ECM for P48 x P63 / May 3, 2022 2022 年 5 月 3 日)

9×10¹¹²-2 = 8(9)₁₁₁8_<113> = 2 × 1511 × 906431 × 9744009026703173953235147754001914444499681068383_<49> × 3371907263198411857122816025692924873909359391622729033_<55> (Eric Jeancolas / ECM for P49 x P55 / May 3, 2022 2022 年 5 月 3 日)

9×10¹¹³-2 = 8(9)₁₁₂8_<114> = 2 × 11 × 31 × 1811 × 728684756400685935250691845693715984590746351313494755898703103063552645854350490890630895262091713882740049_<108>

9×10¹¹⁴-2 = 8(9)₁₁₃8_<115> = 2 × 7 × 1553063 × 133934527756894814596008900973021072708081_<42> × 3090529189534828093661917070486709468125409340338755793640942824319_<67> (Eric Jeancolas / ECM for P42 x P67 / May 3, 2022 2022 年 5 月 3 日)

9×10¹¹⁵-2 = 8(9)₁₁₄8_<116> = 2 × 11² × 19 × 27692009 × 2803826265222091_<16> × 3311554669655286874909543860008152631269_<40> × 76126532689772104011399602674564675523699290665091_<50> (Eric Jeancolas / ECM for P40 x P50 / May 3, 2022 2022 年 5 月 3 日)

9×10¹¹⁶-2 = 8(9)₁₁₅8_<117> = 2 × 17² × 71 × 13631172488922795199_<20> × 11265055460103701668979653313_<29> × 142820245320056838027062340813426431928726980832696629653714431383_<66>

9×10¹¹⁷-2 = 8(9)₁₁₆8_<118> = 2 × 11 × 409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909_<117>

9×10¹¹⁸-2 = 8(9)₁₁₇8_<119> = 2 × 113 × 342069823145178651661471_<24> × 1164177783453764234393983938410825149461924921503831459693191400614619392739781656204946641713_<94>

9×10¹¹⁹-2 = 8(9)₁₁₈8_<120> = 2 × 11 × 151 × 789631961 × 300356304559_<12> × 1142303245070076203142457653536064742816840623763292399531063447189243021324686670638233703256141_<97>

9×10¹²⁰-2 = 8(9)₁₁₉8_<121> = 2 × 7 × 18287 × 1141801 × 24866537 × 974067491370089191_<18> × 573002509783209781988441_<24> × 2218302190763214055337135854170710931025393523121773029229113_<61>

9×10¹²¹-2 = 8(9)₁₂₀8_<122> = 2 × 11 × 71059 × 2654555750040240276687907361_<28> × 21687469755927862112122900952306823465775905615276166404766931578278455039054738991841391_<89>

9×10¹²²-2 = 8(9)₁₂₁8_<123> = 2 × 23 × 1750631 × 301912393 × 59980092387823_<14> × 18802212998362847_<17> × 13251766917200461648312271_<26> × 2476961381471330613763647462122425406900996214684761_<52>

9×10¹²³-2 = 8(9)₁₂₂8_<124> = 2 × 11 × 561509773736571774808304731169771_<33> × 728555277619853353873287524756543256261898259416280271501611605509993528649639991454949079_<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1211373057 for P33 x P90 / May 3, 2022 2022 年 5 月 3 日)

9×10¹²⁴-2 = 8(9)₁₂₃8_<125> = 2 × 367 × 122615803814713896457765667574931880108991825613079019073569482288828337874659400544959128065395095367847411444141689373297_<123>

9×10¹²⁵-2 = 8(9)₁₂₄8_<126> = 2 × 11 × 29 × 89 × 359 × 811 × 2804311 × 3717209 × 846534131 × 17909538959402376124259_<23> × 780043168450944714147634672321189_<33> × 441596730321051845035302503546705459119_<39> (Eric Jeancolas / ECM for P33 x P39 / May 3, 2022 2022 年 5 月 3 日)

9×10¹²⁶-2 = 8(9)₁₂₅8_<127> = 2 × 7 × 8628298519_<10> × 74505667767698946618105198506187991238977801859377561151214631828519244252037815111336768196818706158298468711436703_<116>

9×10¹²⁷-2 = 8(9)₁₂₆8_<128> = 2 × 11 × 39396341 × 69856302953549103100602593450735237138039999442733241_<53> × 1486477511416334460371187266440318046818691581001029483418429631889_<67> (Eric Jeancolas / ECM for P53 x P67 / May 3, 2022 2022 年 5 月 3 日)

9×10¹²⁸-2 = 8(9)₁₂₇8_<129> = 2 × 31 × 311 × 19857727 × 2350503461563185694845635804741194000008815129695287595183157063335077862499028615073576032328244652339290972164496857_<118>

9×10¹²⁹-2 = 8(9)₁₂₈8_<130> = 2 × 11 × 7749170865329705701367407401465233020729719454475279_<52> × 52791571666229275839640301118631122321912810222701175531006509760592466805971_<77> (Syj / for P52 x P77 / May 7, 2022 2022 年 5 月 7 日)

9×10¹³⁰-2 = 8(9)₁₂₉8_<131> = 2 × 167 × 449 × 10196401 × 1441453430506931689686497_<25> × 40832143470139201206889379905262376574535898383718428057103757011220724704060364595650271143449_<95>

9×10¹³¹-2 = 8(9)₁₃₀8_<132> = 2 × 11 × 9391 × 252540811 × 7586442935027202823651385953181_<31> × 6030314999460920101525056531761490834121_<40> × 377049373322872962023994224515449597277860575909_<48> (Eric Jeancolas / ECM for P31 x P40 x P48 / May 3, 2022 2022 年 5 月 3 日)

9×10¹³²-2 = 8(9)₁₃₁8_<133> = 2 × 7 × 17 × 47 × 229519 × 10842037145638007_<17> × 3620837219749521919499838011948975956471_<40> × 89295414927317460108746612781583775541546436314678110628436730101801_<68> (Eric Jeancolas / ECM for P40 x P68 / May 3, 2022 2022 年 5 月 3 日)

9×10¹³³-2 = 8(9)₁₃₂8_<134> = 2 × 11 × 19 × 872321018962902860111_<21> × 322980153295881300882686535374245681_<36> × 764212354259817914826162414738302636904208093549430799988635029318930051921_<75> (Syj / for P36 x P75 / May 7, 2022 2022 年 5 月 7 日)

9×10¹³⁴-2 = 8(9)₁₃₃8_<135> = 2 × 511941329 × 295979899038457_<15> × 2969819841970918656561526535317831646255428435954418261726130672279195843951376829528087346154500496453784222983_<112>

9×10¹³⁵-2 = 8(9)₁₃₄8_<136> = 2 × 11 × 59 × 7001 × 123064071803731_<15> × 76597940396202042896939058314436731_<35> × 105065314927663497957948197510589922601009072551557666873424186207317167207467391_<81> (Syj / for P35 x P81 / May 7, 2022 2022 年 5 月 7 日)

9×10¹³⁶-2 = 8(9)₁₃₅8_<137> = 2 × 10177 × 72313 × 434361137857_<12> × 140774955241667034517464479874378154682607459986909246145694142862477029954778068418936625303232110013560819624769207_<117>

9×10¹³⁷-2 = 8(9)₁₃₆8_<138> = 2 × 11³ × 243469 × 252541 × 579451 × 62573101 × 403869784782058904584063631_<27> × 375502759187681321331663316211151423962450484883074767661734638029065392873543073021_<84>

9×10¹³⁸-2 = 8(9)₁₃₇8_<139> = 2 × 7 × 642857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857_<138>

9×10¹³⁹-2 = 8(9)₁₃₈8_<140> = 2 × 11 × 24572762969_<11> × 27006017847593202753585691860060421702793675869439_<50> × 6164605463491109529465426884508310193885223225122957563695148263483670272158299_<79> (Syj / for P50 x P79 / May 7, 2022 2022 年 5 月 7 日)

9×10¹⁴⁰-2 = 8(9)₁₃₉8_<141> = 2 × 199 × 4154012487047_<13> × 11688653425817_<14> × 496104758524341511_<18> × 3958933475277911557442188441_<28> × 23712402660035065302205782893261629878955985281466031094299417014249_<68>

9×10¹⁴¹-2 = 8(9)₁₄₀8_<142> = 2 × 11 × 26891 × 57823929199_<11> × 14060609573669_<14> × 647029233515099070305123606590930871_<36> × 28918597363235334249732274783143149725566899658106635312139672545062980740899_<77> (Eric Jeancolas / ECM for P36 x P77 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁴²-2 = 8(9)₁₄₁8_<143> = 2 × 2251121 × 73748027833_<11> × 202080572877503_<15> × 1341339454037034678091584175232386120624475293828271525580580046801107846150876884282644309406976048107305256281_<112>

9×10¹⁴³-2 = 8(9)₁₄₂8_<144> = 2 × 11 × 31 × 61 × 5279 × 5701 × 2753814175037673655189_<22> × 9918007410062381782211_<22> × 2780258656945102244570860312564148790397351_<43> × 9466323362144807322230162277994074452804471989_<46> (Syj / for P43 x P46 / May 7, 2022 2022 年 5 月 7 日)

9×10¹⁴⁴-2 = 8(9)₁₄₃8_<145> = 2 × 7² × 23 × 53775561091628315924839081_<26> × 1609877885250985230590848408519_<31> × 46122274126728057732015080242618029164111111803759355100038413843560243782355219515383_<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3031157616 for P31 x P86 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁴⁵-2 = 8(9)₁₄₄8_<146> = 2 × 11 × 109 × 139² × 2362603236264828261277928716370308604069812603802757255492619_<61> × 822191411050255458283341315313167434435887351706158080710323387338257069737099_<78> (Syj / for P61 x P78 / May 7, 2022 2022 年 5 月 7 日)

9×10¹⁴⁶-2 = 8(9)₁₄₅8_<147> = 2 × 1847 × 154001 × 166457 × 2784553 × 7903711 × 494427863 × 741457481 × 1322929631596960845026811789188094756650623_<43> × 890445905729459446963904090097692182468514397195020271348103_<60> (Eric Jeancolas / ECM for P43 x P60 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁴⁷-2 = 8(9)₁₄₆8_<148> = 2 × 11 × 179 × 3181 × 4261 × 25121 × 1272629 × 1021353516576859_<16> × 5942435864563002241_<19> × 868984967348932491532029738756851104217109420288512829470994037683712568132541655339369329161_<93>

9×10¹⁴⁸-2 = 8(9)₁₄₇8_<149> = 2 × 17 × 4323298873_<10> × 4884992128924218515208769_<25> × 125338491771669003891932745064737442864551895615268401823793668676721545565282710735091741018956894096487649394631_<114>

9×10¹⁴⁹-2 = 8(9)₁₄₈8_<150> = 2 × 11 × 6170601915084270477942248397427869779_<37> × 2782804446309844612953361555481755907813104353511519_<52> × 2382372187766132206455953953264674487309477632802455106272209_<61> (Syj / for P37 / May 7, 2022 2022 年 5 月 7 日) (Syj / for P52 x P61 / May 9, 2022 2022 年 5 月 9 日)

9×10¹⁵⁰-2 = 8(9)₁₄₉8_<151> = 2 × 7 × 212801 × 355841 × 408380113 × 244974085307731729_<18> × 69612804382322169237413391806607337_<35> × 1219020372404975600113239460428961653356110666351621559217875332777094471563073_<79> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:308199512 for P35 x P79 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁵¹-2 = 8(9)₁₅₀8_<152> = 2 × 11 × 19 × 71 × 13841 × 713790811 × 11373305501221_<14> × 181301915827281621587039771_<27> × 148860803628972818323210614401240684394560574331731345233942688799956287425742490448580604629501_<96>

9×10¹⁵²-2 = 8(9)₁₅₁8_<153> = 2 × 4789777 × 27073865484528894764477623799832737362183_<41> × 3470139651142254222538036172168441206161800404765354583774577691724919677228947221094386038925477650076089_<106> (Bob Backstrom / Msieve 1.54 snfs for P41 x P106 / May 9, 2022 2022 年 5 月 9 日)

9×10¹⁵³-2 = 8(9)₁₅₂8_<154> = 2 × 11 × 29 × 55455105640969_<14> × 12703169489171232091_<20> × 25914899700401423911_<20> × 772713800737681656172198765105358532873170320161868606259086868632248431803773797101456468162136909_<99>

9×10¹⁵⁴-2 = 8(9)₁₅₃8_<155> = 2 × 6221344182693983028187978211195530374119_<40> × 431743608531109304864428545712663929845617_<42> × 16753377261901291840093308332779594221026756971303004677303458297937555513_<74> (Bob Backstrom / Msieve 1.54 snfs for P40 x P42 x P74 / May 9, 2022 2022 年 5 月 9 日)

9×10¹⁵⁵-2 = 8(9)₁₅₄8_<156> = 2 × 11 × 57259 × 294509 × 6078111201180769_<16> × 8333048645680211_<16> × 47896628063417617059877165507163660287622710928624955119717472746246665896293628559378687283083330518248017117921_<113>

9×10¹⁵⁶-2 = 8(9)₁₅₅8_<157> = 2 × 7 × 229847 × 77844521 × 35929202992108166955865551109411125760004772440808131743660637553917002411713727862141211378527299786497009643014083952228574187927613779399111_<143>

9×10¹⁵⁷-2 = 8(9)₁₅₆8_<158> = 2 × 11 × 2011 × 5179 × 17989 × 31159 × 6200990700195864302583389_<25> × 113008271937732863943897002257396628921238774037200685122019878560389196302723317591812084212257212867411905689146099_<117>

9×10¹⁵⁸-2 = 8(9)₁₅₇8_<159> = 2 × 31 × 607 × 322057 × 2001697 × 1358963319403262540307199603487_<31> × 15516286704395344937381636989063266006196044795430081_<53> × 1759282234501648644597613017380379138929998038800730976818169_<61> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3347082153 for P31 / May 3, 2022 2022 年 5 月 3 日) (Eric Jeancolas / cado-nfs-3.0.0 for P53 x P61 / May 13, 2022 2022 年 5 月 13 日)

9×10¹⁵⁹-2 = 8(9)₁₅₈8_<160> = 2 × 11² × 47854828771_<11> × 777143782555236491989196652939466074219073823627469906056327151904275070520544943298791136301655882541950248270211302611167397331894575970305996189_<147>

9×10¹⁶⁰-2 = 8(9)₁₅₉8_<161> = 2 × 1153 × 347741749702916570794249_<24> × 13217841023971209440578649_<26> × 21058058400613956390923590913525240615627593_<44> × 403225065897199873529489172118975981274679193481381400384156837031_<66> (Eric Jeancolas / cado-nfs-3.0.0 for P44 x P66 / May 9, 2022 2022 年 5 月 9 日)

9×10¹⁶¹-2 = 8(9)₁₆₀8_<162> = 2 × 11 × 14039874297604620193638472649_<29> × 6033060401998840982903519625918072427433658672243031_<52> × 482968643961057261892239580823666044545219063085401048871554217001669598503147411_<81> (Syj / for P52 x P81 / May 7, 2022 2022 年 5 月 7 日)

9×10¹⁶²-2 = 8(9)₁₆₁8_<163> = 2 × 7 × 257 × 313 × 449 × 17798797903205097964919858756808628547128861473431241936477094926720430717619488462310944580108420230393731203258107135892868766460995755805444789131569873_<155>

9×10¹⁶³-2 = 8(9)₁₆₂8_<164> = 2 × 11 × 49306909 × 18430201421_<11> × 24543862099_<11> × 577917875846657055001_<21> × 10319760385307464571891_<23> × 4143913320150330615160825801_<28> × 23654257204646568947577153599_<29> × 313749720838651509574346427233885891_<36>

9×10¹⁶⁴-2 = 8(9)₁₆₃8_<165> = 2 × 17 × 7193 × 453737 × 23339423 × 182008769473_<12> × 15732119521424777_<17> × 7223350180244743524276885699262708399_<37> × 16801227073093669134279117510097899395501273457448915438126856946957985939001631751_<83> (Eric Jeancolas / ECM for P37 x P83 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁶⁵-2 = 8(9)₁₆₄8_<166> = 2 × 11 × 1109 × 350029 × 812921 × 21756708901_<11> × 1278269146069_<13> × 27649609614456070024391_<23> × 45497493978949449748169_<23> × 37054753199275031153714913055236502990281742650364742728082003079840677899108060339_<83>

9×10¹⁶⁶-2 = 8(9)₁₆₅8_<167> = 2 × 23 × 71972041 × 130630183 × 3158585687641_<13> × 1301684206647839929969_<22> × 23449139842197360021519008548039418259640183973083783097_<56> × 2158500275770218866100580990108400799581272337326733707245767_<61> (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P61 / May 13, 2022 2022 年 5 月 13 日)

9×10¹⁶⁷-2 = 8(9)₁₆₆8_<168> = 2 × 11 × 26881 × 87209796066156970157564833137357681179_<38> × 17450550698272920723177914024879216859089171180998308075927336156746802273293659124318034344905899023443044391568095306914791_<125> (Syj / for P38 x P125 / May 7, 2022 2022 年 5 月 7 日)

9×10¹⁶⁸-2 = 8(9)₁₆₇8_<169> = 2 × 7 × 809 × 7293091679_<10> × 65859044998644311_<17> × 204921299520327544996869604214777091145769019849002823587892703_<63> × 8073312232827657331553508453205582166117966764232444184504340489601542962439_<76> (Taiyo Kodama / Msieve 1.53 for P63 x P76 / May 20, 2022 2022 年 5 月 20 日)

9×10¹⁶⁹-2 = 8(9)₁₆₈8_<170> = 2 × 11 × 19 × 89 × 10336359589010134129315395530859629782588370670016846421_<56> × 234049981720242396528509683786855343799407668388293493420214884565054136188218727747589961413896413669647644619_<111> (Bob Backstrom / Msieve 1.54 snfs for P56 x P111 / May 10, 2022 2022 年 5 月 10 日)

9×10¹⁷⁰-2 = 8(9)₁₆₉8_<171> = 2 × 4937 × 1033966403137_<13> × 141078008282757484423_<21> × 19453433014592625492553_<23> × 3342256613336155070593103468206104907475228768799247_<52> × 9610535654736014564582617756526067568153969357159616003688247_<61> (Eric Jeancolas / cado-nfs-3.0.0 for P52 x P61 / May 9, 2022 2022 年 5 月 9 日)

9×10¹⁷¹-2 = 8(9)₁₇₀8_<172> = 2 × 11 × 487893674589867389_<18> × 113665336539591580936826186279768114189734403280821_<51> × 7376776047385637026177785233734645703979278401081871466595223704992807423871745596054492250844843489661_<103> (Bob Backstrom / Msieve 1.54 snfs for P51 x P103 / May 10, 2022 2022 年 5 月 10 日)

9×10¹⁷²-2 = 8(9)₁₇₁8_<173> = 2 × 357453138672190511_<18> × 1861320636715270342729774998433_<31> × 67635110907054015890101518793647367637399111198427306128358412649236419987029866946547847278936591700610491550578676808822673_<125> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3200103834 for P31 x P125 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁷³-2 = 8(9)₁₇₂8_<174> = 2 × 11 × 31 × 31039 × 3030169471129_<13> × 4950521631179_<13> × 2834213308486681874286837481843657963812542459788590221378058629806670116287920248509101904143160189512550299655721571600649428871237907755311_<142>

9×10¹⁷⁴-2 = 8(9)₁₇₃8_<175> = 2 × 7 × 631 × 70393 × 11750623 × 33688564681_<11> × 36560509499187026778092995462148639658996643053124346271879577741560884495824688976138584120522235680676779706542392814867365632039351379723530233633_<149>

9×10¹⁷⁵-2 = 8(9)₁₇₄8_<176> = 2 × 11 × 14629 × 238047191 × 966670821398264141_<18> × 419229971428310779227083909767819_<33> × 961031372829225384641980949436055063406558088739_<48> × 3016293713267480468863775036529558928520075768667124710997677451_<64> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:631768064 for P33 / May 3, 2022 2022 年 5 月 3 日) (Syj / for P48 x P64 / May 7, 2022 2022 年 5 月 7 日)

9×10¹⁷⁶-2 = 8(9)₁₇₅8_<177> = 2 × 9161 × 47665403257_<11> × 9114451405131957276584248481_<28> × 113066988561651937935143490532280681839288728391910503855430470544382746530181147341680715936982319786260062106526666709465617699661727_<135>

9×10¹⁷⁷-2 = 8(9)₁₇₆8_<178> = 2 × 11 × 181 × 3559 × 9791 × 6431792821493638371428024290458714798140987424902387589735745075766973217171_<76> × 10084495314864213912348357874586836161999266742740601355531028403120405840424625687480916011_<92> (Bob Backstrom / Msieve 1.54 snfs for P76 x P92 / May 12, 2022 2022 年 5 月 12 日)

9×10¹⁷⁸-2 = 8(9)₁₇₇8_<179> = 2 × 47 × 97 × 12343 × 27127 × 4961912312878441_<16> × 5941161253644225869020732880017156810628518578675478346278200426215003595117941694373977469256247827356874045674912184965425819210767046815974419236761_<151>

9×10¹⁷⁹-2 = 8(9)₁₇₈8_<180> = 2 × 11 × 17749 × 14941561 × 39114851646703018963159_<23> × 4059984130665383259862722611_<28> × 65816116101018868338446726920549181_<35> × 15090776102973551574008357949992181139_<38> × 978002843518471826141723331427924438522731691_<45> (Syj / for P35 / May 7, 2022 2022 年 5 月 7 日) (ivelive / for P38 x P45 / May 8, 2022 2022 年 5 月 8 日)

9×10¹⁸⁰-2 = 8(9)₁₇₉8_<181> = 2 × 7 × 17 × 4558633 × 336360699223132227208326903105362022344129_<42> × 1810001194579783500029180026842352639436036599306876298314303_<61> × 13625323245726306497821877441527972555654309066297694251914055626083951_<71> (Bob Backstrom / Msieve 1.54 snfs for P42 x P61 x P71 / May 13, 2022 2022 年 5 月 13 日)

9×10¹⁸¹-2 = 8(9)₁₈₀8_<182> = 2 × 11² × 29 × 9011 × 38639 × 6035824021_<10> × 6102302165921102311180191608087286971927076934388505415536215781553638474387681396593813379585936337740472457206539551054390185184438527224181271250659029696579_<160>

9×10¹⁸²-2 = 8(9)₁₈₁8_<183> = 2 × 751 × 120503 × 252295255958927_<15> × 4083739797918811651610884304029483951_<37> × 4826225065101917058919226856959799901698234860333818118876517384398646169618351171654150013436342125047216991135652396565079_<124> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1964552748 for P37 x P124 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁸³-2 = 8(9)₁₈₂8_<184> = 2 × 11 × 149 × 479 × 126311 × 2142739 × 7271413440591518509335398659_<28> × 7101415684297664048083265859824385451171071542815784329_<55> × 410132160159212820481287474164609551934634062453278019505207252768319610106733523441_<84> (Bob Backstrom / Msieve 1.54 snfs for P55 x P84 / June 9, 2022 2022 年 6 月 9 日)

9×10¹⁸⁴-2 = 8(9)₁₈₃8_<185> = 2 × 274423 × 28789345313_<11> × 5127957315508950163533236881_<28> × 740340029593747781751404817133419526072662195738640995850954049993_<66> × 1500322366449815762258215185613480727656560762347054566403622116251945055297_<76> (Bob Backstrom / Msieve 1.54 snfs for P66 x P76 / June 9, 2022 2022 年 6 月 9 日)

9×10¹⁸⁵-2 = 8(9)₁₈₄8_<186> = 2 × 11 × 3399863898196171628299291_<25> × 5030198520758292015833685169_<28> × 797479008715658595981658462560985128507316231222320071_<54> × 2999534843369846361072732417601110631470583787183130851344750430626116364874801_<79> (Eric Jeancolas / cado-nfs-3.0.0 for P54 x P79 / July 4, 2022 2022 年 7 月 4 日)

9×10¹⁸⁶-2 = 8(9)₁₈₅8_<187> = 2 × 7² × 71 × 13297 × 42337 × 1339993 × 8838103 × 2232689141925095665093893224543_<31> × 2012001497844364752807321885859729_<34> × 28749829235090823831857553704307989647_<38> × 1502210931260381580248779306946082611951814714066535628058839_<61> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1341707001 for P31, B1=1000000, sigma=1:2311736833 for P34, B1=1000000, sigma=1:3159145880 for P38 x P61 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁸⁷-2 = 8(9)₁₈₆8_<188> = 2 × 11 × 19 × 4129 × 18055441 × 12202817443511041_<17> × 3998050946981848459_<19> × 363212933582733998285710945832750678643701_<42> × 162983448008139818076380649345318113725557034121019168110601308225374371321807372046757102856571721_<99> (Andreas Tete / GMP-ECM 7.0.5 via ecm.py_v0.44 B1=11000000, sigma=1:3660297409 for P42 x P99 / May 16, 2022 2022 年 5 月 16 日)

9×10¹⁸⁸-2 = 8(9)₁₈₇8_<189> = 2 × 23 × 31 × 191 × 223 × 1168247 × 2597263 × 4883533266518068024943943746293065994100788405524506133961472428569424580071734830846957694910588677386528336978388653572948786032837930029152448685353043816410816665951_<169>

9×10¹⁸⁹-2 = 8(9)₁₈₈8_<190> = 2 × 11 × 4960404253989100129999309_<25> × 3549027261498833094073516541_<28> × 2291146382802518548462256877137379290630915572597031_<52> × 10142396500186934578431224348902521820974971479848049262009266062200866787439245104531_<86> (Eric Jeancolas / cado-nfs-3.0.0 for P52 x P86 / August 11, 2022 2022 年 8 月 11 日)

9×10¹⁹⁰-2 = 8(9)₁₈₉8_<191> = 2 × 19031 × 2364563081288424150070936892438652724502128106773159581735063843203194787452051915296095843623561557458882875308706846723766486259261205401712994587777836162051389837633335084861541695129_<187>

9×10¹⁹¹-2 = 8(9)₁₉₀8_<192> = 2 × 11 × 139 × 3259 × 79318707663649_<14> × 13895031750503156928611_<23> × 421699195654897595867632021_<27> × 194304438859451243040612107027648245838369285844403805048553674940977263006420739923714363019148723244278015748316899041611_<123>

9×10¹⁹²-2 = 8(9)₁₉₁8_<193> = 2 × 7 × 1613964572665984752009447341671_<31> × 31917903243609543868185570081239647969256764354329860629098865853418636505681_<77> × 12479182107680003797928729323260888134896406879351654221172037054138571092440143922207_<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4180789619 for P31 / May 3, 2022 2022 年 5 月 3 日) (Bob Backstrom / Msieve 1.54 snfs for P77 x P86 / July 22, 2022 2022 年 7 月 22 日)

9×10¹⁹³-2 = 8(9)₁₉₂8_<194> = 2 × 11 × 59 × 468083730316759331_<18> × 31230213579712598579_<20> × 185242242699290508069454272835717684319_<39> × 25605265666537254491574249663910999818642620020999658483097422656241082409218367164209900142892335411302208846719521_<116> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2859757685 for P39 x P116 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁹⁴-2 = 8(9)₁₉₃8_<195> = 2 × 151 × 449 × 2273 × 4592641 × 13281757007_<11> × 43725282442432639_<17> × 13058182323993784886562313207_<29> × 910924849539119399814162577576540592654113_<42> × 92039417104133678312288808283970964457968740861342045075969713626103143144987024799_<83> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:9441514 for P42 x P83 / May 7, 2022 2022 年 5 月 7 日)

9×10¹⁹⁵-2 = 8(9)₁₉₄8_<196> = 2 × 11 × 21481 × 4093197277229_<13> × 18382352914244969806399786664291_<32> × 253105485295179283965967876447173303954930958312457784414254980800910067774768822936627462584097508918369125623992822908941081830747991198342356451_<147> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3945124857 for P32 x P147 / May 3, 2022 2022 年 5 月 3 日)

9×10¹⁹⁶-2 = 8(9)₁₉₅8_<197> = 2 × 17 × 35729 × 504479 × 2670791 × 54986963119550621004489768119706227257768018830399448875638001455277595592262638327891852243295244338261499084485207733075927693902947496300046647210875810657377857274320412925687_<179>

9×10¹⁹⁷-2 = 8(9)₁₉₆8_<198> = 2 × 11 × 3001711 × 57417901131224219495889820769468241279788021921398796548186416498097671643411681561_<83> × 237357871469366162740091735426265414736085137221381467214575285576034944049680765032897235016575468019635179_<108> (ebina / Msieve 1.53 for P83 x P108 / June 23, 2022 2022 年 6 月 23 日)

9×10¹⁹⁸-2 = 8(9)₁₉₇8_<199> = 2 × 7 × 263 × 154321 × 17761439 × 171462857 × 5550199217159_<13> × 375601128690821462551_<21> × 2494882124618614877985434125886977653049781969908692187625980786729279585189991465791933549956188051557911601311423284329076617793698952828537_<142>

9×10¹⁹⁹-2 = 8(9)₁₉₈8_<200> = 2 × 11 × 269 × 94398736497574702872337341904836904459_<38> × 161102161436679993934254450149854274728162341574129162866970439736308874466268065328357034971547659289913580792961893030493910279832921961794367046003452093779_<159> (Bob Backstrom / GMP-ECM 7.0.4 B1=15060000, sigma=1:2831816878 for P38 x P159 / June 23, 2022 2022 年 6 月 23 日)

9×10²⁰⁰-2 = 8(9)₁₉₉8_<201> = 2 × 252891310097_<12> × 332971177508279_<15> × 80384192947790713_<17> × 1146820672095516637356351582127_<31> × 33954069412602778301796333727260641129782100575039589561_<56> × 1707316214271128815669731248697571353451563216263275044106699341287405143_<73> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3733257728 for P31 / May 3, 2022 2022 年 5 月 3 日) (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P73 / May 12, 2022 2022 年 5 月 12 日)

9×10²⁰¹-2 = 8(9)₂₀₀8_<202> = 2 × 11 × 145451 × 72659025775579010465939_<23> × 36633100148737372599089453119_<29> × 1056671206664893787677352315227355782940654366983936523616815072780578385487216841709754058014921271217365539128390752833265653619523743552054099_<145>

9×10²⁰²-2 = 8(9)₂₀₁8_<203> = 2 × 2559589950553_<13> × 1717478225286677657236731841_<28> × 146958315656376255532936419591559_<33> × 69655708186367911519743505324268232505882045287682047284930205673027825832947691573112810599211862947818232893244766737454529867057_<131> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:625969427 for P33 x P131 / May 3, 2022 2022 年 5 月 3 日)

9×10²⁰³-2 = 8(9)₂₀₂8_<204> = 2 × 11² × 31 × 61 × 4270751 × 28587524652146594170282711728658555539441628322780990378959_<59> × 16108489236379479168695377055223197435709023393673118805537148285185806783184705035817700559464677413440515612513199000544534024279501_<134> (Bob Backstrom / Msieve 1.44 snfs for P59 x P134 / July 21, 2023 2023 年 7 月 21 日)

9×10²⁰⁴-2 = 8(9)₂₀₃8_<205> = 2 × 7 × 3359 × 76847 × 7531331683092772504673_<22> × 1785072057138963289043530390928027327_<37> × 601553235764515771417620204310137672505031_<42> × 307946986469886799138885958867860819639686892339567496775717813883309971104456009507752790668609_<96> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:657006175 for P37 / May 3, 2022 2022 年 5 月 3 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:3789170599 for P42 x P96 / May 14, 2022 2022 年 5 月 14 日)

9×10²⁰⁵-2 = 8(9)₂₀₄8_<206> = 2 × 11 × 19 × 3001 × 99371 × 493351 × 29435502553741_<14> × 8487464566308154026068894591531946197779_<40> × 109702804291935849103373757425980266168471471489401_<51> × 53397066737484285568623444183103110922699063149969164468415799160409445791209799328669_<86> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:3820728062 for P40 / May 23, 2022 2022 年 5 月 23 日) (ebina / Msieve 1.53 gnfs for P51 x P86 / May 27, 2022 2022 年 5 月 27 日)

9×10²⁰⁶-2 = 8(9)₂₀₅8_<207> = 2 × 4244311 × 276898634057_<12> × 382899237298434953146048362130821621044083931231194402184778478107843998336840716778304268456038235951862967417393452972087509688897884709075711120424066141665371420069830764285266090896337_<189>

9×10²⁰⁷-2 = 8(9)₂₀₆8_<208> = 2 × 11 × 409 × 3041 × [328912289252191597402002227978755774512060446184869610763004150361449023821216728420558070597587581850736825655801767925482216479982142255442201010871720625702273419815825198175136145932973961329709061_<201>] Free to factor

9×10²⁰⁸-2 = 8(9)₂₀₇8_<209> = 2 × 97989227087593_<14> × 25038606190779784132762094908582799_<35> × 42971366358701951305554791841751282112201_<41> × 426820105626623869933957922850768378823825167992681391108847222214252689067796532822048276651705647385201242833425994657_<120> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:980562585 for P35 / May 3, 2022 2022 年 5 月 3 日) (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:2847254085 for P41 x P120 / March 24, 2023 2023 年 3 月 24 日)

9×10²⁰⁹-2 = 8(9)₂₀₈8_<210> = 2 × 11 × 29 × 1471511 × 882556511 × 19995194809_<11> × 190127201007363599234298250869509_<33> × 285723459645308395746119107859615927131732938426768472411238338535726727615231122421388051183638676678423074840256647058813123065928668774136948190221_<150> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3471249497 for P33 x P150 / May 3, 2022 2022 年 5 月 3 日)

9×10²¹⁰-2 = 8(9)₂₀₉8_<211> = 2 × 7 × 23 × 19001 × 20013961039_<11> × 64677799754902759_<17> × [1136375579802852020598264399170752595385088075116702371163892655096436043789740648215568261299172060471918171065588272879075528907511488900138627730290512100843076094253387240159_<178>] Free to factor

9×10²¹¹-2 = 8(9)₂₁₀8_<212> = 2 × 11 × 96427729496607031_<17> × 42424612839743740987836507879456495523874807371361335334385422706621597705319529136623622425394448455474201385945014255586712514730245549165218865820278952010731261140334013002670223057287145739_<194>

9×10²¹²-2 = 8(9)₂₁₁8_<213> = 2 × 17 × 2470447364218217_<16> × [10714896669604147469910561219700729381013810127808001329906260448234712677447264757174309332673914120657270468544246818038746727927753852611421400037277495964566142329646412790771062395478445924791_<197>] Free to factor

9×10²¹³-2 = 8(9)₂₁₂8_<214> = 2 × 11 × 89 × 486991 × 424683379 × [22225094827174324454827715633344040118421611809130781931786713867408894871070252128911210752688753819361594136423778150833106511529050537046652981011664282743119377957312274173554348000310078214729_<197>] Free to factor

9×10²¹⁴-2 = 8(9)₂₁₃8_<215> = 2 × 115513 × 393766759 × 6822877839313_<13> × 145002337763221643046275174704770729639746686378475291131191146831636437044101020598926581600103377436301760842574549752110616280207295973972143743627178264833224267982459902364173289959969_<189>

9×10²¹⁵-2 = 8(9)₂₁₄8_<216> = 2 × 11 × 4446176879_<10> × 127208929987268568609564593539_<30> × 72329505028799140657930984210452071505165110706694458076203337723860577158443257023925056189254311894991703291992708831214845289040286197465785003197934748963582083547962593489_<176> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1898367067 for P30 x P176 / May 3, 2022 2022 年 5 月 3 日)

9×10²¹⁶-2 = 8(9)₂₁₅8_<217> = 2 × 7 × 174097687 × [3692508234512862064289556832866727615645216141539794593266808552471710075865954168920939524847662926487603807986588258677686264395098729009207670535319305288316996094595690160678913229083525142656588785450911_<208>] Free to factor

9×10²¹⁷-2 = 8(9)₂₁₆8_<218> = 2 × 11 × 15319 × 61751 × 175039 × 32099472761_<11> × 250220757271_<12> × 9461953035461_<13> × 89860692674488398753059_<23> × 3617752153208657185647441620647566036807152500807212335662025116777650613725470540510115170017289539511464035393022184840006424235000714385656771_<145>

9×10²¹⁸-2 = 8(9)₂₁₇8_<219> = 2 × 31 × 1367 × 3414217 × 1447478672609_<13> × 184002721206386737613069239_<27> × [11677631476503283441921175287869985779368634193008134582338092989322978848493487785853355317203810402465398152297313660387985154443340076395542223166454148485978277828361_<170>] Free to factor

9×10²¹⁹-2 = 8(9)₂₁₈8_<220> = 2 × 11 × 64189 × 6373224525867502078379331491235400004815325197322112681442161571155635559193801260198929581534077631539813533613094285483635683825747543830081336507671237920969183335009255338283676472462713095843382964229215144481_<214>

9×10²²⁰-2 = 8(9)₂₁₉8_<221> = 2 × 2297 × [19590770570309098824553765781454070526774053112755768393556813234653896386591205920766216804527644754026991728341314758380496299521114497170222028733130169786678276012189812799303439268611232041793643883326077492381367_<218>] Free to factor

9×10²²¹-2 = 8(9)₂₂₀8_<222> = 2 × 11 × 71 × 131 × 156820732381_<12> × 1021814030480928406691209_<25> × 1290372081512501747555431935149_<31> × 9996034666392677011399974994417658452921788001_<46> × 2128002496559159100313875879094615672179152688187823145297799433699310096729698445885935624630204143428329_<106> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:614909589 for P31 / May 3, 2022 2022 年 5 月 3 日) (yoyo / GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM] B1=43000000, sigma=0:10984414515691527895 for P46 x P106 / December 2, 2022 2022 年 12 月 2 日)

9×10²²²-2 = 8(9)₂₂₁8_<223> = 2 × 7 × 629811983 × 4605455848772857863079369_<25> × 3889693286834078683258859969_<28> × 893733672867364292871176887415548021599833_<42> × 63754002161133657358275042511803462688059986526825168456117604830708890110740558748989246544123152093649943288058960583_<119> (Florian Piesker / Step 1 done with AVX-ECM, GMP-ECM 7.0.5 B1=43000000, sigma=0:10484155621507519995 for P42 x P119 / May 10, 2022 2022 年 5 月 10 日)

9×10²²³-2 = 8(9)₂₂₂8_<224> = 2 × 11 × 19 × 349 × 61211 × 19228255619_<11> × 313942077340852236298019479292861_<33> × 1669636427678172946347544714730623531664997758474643120030054736302041046061350469025185667437521152887222311715345130055479077553098851678079790486824616979178156040821511_<172> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2493963896 for P33 x P172 / May 3, 2022 2022 年 5 月 3 日)

9×10²²⁴-2 = 8(9)₂₂₃8_<225> = 2 × 47 × 1166624473852678918277451606521_<31> × [8206983737866830231323699483905386547842356871062229667677361208624748282650882162583405920371004412597894250086795693072260314941581975341301503471483747078246565740318034443547639021922211577_<193>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2575924016 for P31 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²²⁵-2 = 8(9)₂₂₄8_<226> = 2 × 11² × 381401 × 437737330231_<12> × [222757190236337146214183801640444929246486854996487761942826937511903790949443110081319138583494252774014871738365698673414134984516506159489992293631189015359637977295808626641361455272214235188819896671849_<207>] Free to factor

9×10²²⁶-2 = 8(9)₂₂₅8_<227> = 2 × 433 × 449 × 231658908033977_<15> × 999146730396525768599488232439639806226627403145132192493831903419969916786895276880573924183643344518604907821880915394373818929327179987871889886152122602348443140644306310662822143142888326080141994225511_<207>

9×10²²⁷-2 = 8(9)₂₂₆8_<228> = 2 × 11 × 1579 × 16651 × 3923789 × 85583651 × 331808549 × [13964112903220048383678379035745321588143465756623629431765386294488145825329019627035569774211763270519717788649078272275610335714400567321391753273425342638939549907155697258712708511466364582711_<197>] Free to factor

9×10²²⁸-2 = 8(9)₂₂₇8_<229> = 2 × 7² × 17 × 8297 × 551075887188010447_<18> × 455747595073186096741185595496792977_<36> × 2592451427631874640507222911382553454159576239649305528709142529291566925427088246225918252200812282855785090409784625109683700990430393461858901634638737720209394037721_<169> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1861028614 for P36 x P169 / May 3, 2022 2022 年 5 月 3 日)

9×10²²⁹-2 = 8(9)₂₂₈8_<230> = 2 × 11 × 4060535972161_<13> × 1007480076264889352595116452065574056761084067985337472130457402064381284924261152201482051933037395721382341784058090812514431400312260908999191371911880478770721338120682156501648956137440032301425760084009264803869_<217>

9×10²³⁰-2 = 8(9)₂₂₉8_<231> = 2 × 113 × 487 × 1553 × 44273 × 35602224339647599_<17> × 3340546869539324783166470769401721910915075823078481605937100844088427558309108372472821379284776581645276442206806678139636443669405025285071554258398029966985527683602884192646066197062355077206572759_<202>

9×10²³¹-2 = 8(9)₂₃₀8_<232> = 2 × 11 × 389 × 1051647581210563215704603879411077354522084599205421827529796681467632624444963776583313858378125730310820285113344239308249591025940640336527225987380229025473241411544753447067071745734984809534938069642439822388408506660434681_<229>

9×10²³²-2 = 8(9)₂₃₁8_<233> = 2 × 23 × 601 × 923567 × 27713546664219280649_<20> × 70664509522597224217_<20> × 43713042088063019985598827960599_<32> × 41175351048988436378506924306910227123049012203760529028284505181577805343451238449934742919844251581662407227096506362704965443846717592850086019611817_<152> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:442122080 for P32 x P152 / May 3, 2022 2022 年 5 月 3 日)

9×10²³³-2 = 8(9)₂₃₂8_<234> = 2 × 11 × 31 × 2281755191_<10> × 206450152453081523561_<21> × [2801391971304123509318229339936473863158312013343659419065298121363570594037061538952501639281536972837105519094569660753955392912330120463092756841936131508929884182011851701641263318256086285672525389_<202>] Free to factor

9×10²³⁴-2 = 8(9)₂₃₃8_<235> = 2 × 7 × 1503701687475847_<16> × 427516407151380988873688716852895771403465379448043451406092630549737420872931587225798583649672106953749353654370392529041346329945565413252907840660676481563325014168637651548869627809739825980840224915992914382662831_<219>

9×10²³⁵-2 = 8(9)₂₃₄8_<236> = 2 × 11 × 4349 × 6457601 × 145666341730977690818736358126392154780472099070395500763480917607342872911500094758064220926270810156187777602971006671311058015481305949834855083676248524185913714884131204350127329410582668380631039984553610524766385935841_<225>

9×10²³⁶-2 = 8(9)₂₃₅8_<237> = 2 × 26497 × 40177 × [422705893556912838295554061416511740807897991719509044313460245655304597456665621947485163373042697581487008863764031277121250449250649489249306449297368823298076709131741438406102549000233915108683664173510045726266396304853871_<228>] Free to factor

9×10²³⁷-2 = 8(9)₂₃₆8_<238> = 2 × 11 × 29 × 139 × 8861038749309236566917439_<25> × 60263993528509446104611780384210620973999_<41> × 190048517836417481518470415002644994794750107087025090046994625398298534904431166549879245487824704766992813765574263457967738613139602882067978900412774642059032773299_<168> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1247639886 for P41 x P168 / July 7, 2023 2023 年 7 月 7 日)

9×10²³⁸-2 = 8(9)₂₃₇8_<239> = 2 × 1279 × 58711 × 125331351449_<12> × [4781484684181756833962571189748072500040596347337012724253764432519208611035876693122845709899430056829186895593894268002791672390473497214377373243065943649615807927533682568514973512666068319833935896365880535596673279_<220>] Free to factor

9×10²³⁹-2 = 8(9)₂₃₈8_<240> = 2 × 11 × 199 × 2130557699338062060641913384259_<31> × [96488032788353813672081150887178529361750620195771693250721112898454007059892217392209161246944394353794306732965149269935951186469028352230410656694633759494688117930916910508892289856573377251786042065449_<206>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3230532909 for P31 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²⁴⁰-2 = 8(9)₂₃₉8_<241> = 2 × 7 × 2311 × 1261796321143_<13> × 2982318364022011830553_<22> × 6417963328236235418764439_<25> × 11517919461865845420533763543408527832132987911756381928169259231558620677119603095709424760936943517382345396841633259028434010698649413716369427465811644552660719119604408009527_<179>

9×10²⁴¹-2 = 8(9)₂₄₀8_<242> = 2 × 11 × 19² × 5059 × 70439 × 18946474892793090400122749330497629689835751_<44> × 1678442032445551565906497002417309697105574324713699721351915276430362106173095722159491826934875600507325469017618322562203610080508179048511095614519255427511735220613936457499040529719_<187> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:490398747 for P44 x P187 / July 6, 2023 2023 年 7 月 6 日)

9×10²⁴²-2 = 8(9)₂₄₁8_<243> = 2 × 24097 × 52583 × 139109423 × [2552981259036299078213435087502111349163918302628227221211974485988189372744226522667601079532867032557396946756519792081257032491369412847432988688977471642782228781552569596528473018656538981140480428725216601842519206321863_<226>] Free to factor

9×10²⁴³-2 = 8(9)₂₄₂8_<244> = 2 × 11 × 17789 × 1769090996419_<13> × 12999244766562584469921846065479066212416110733654121291211609516154650236049134586497696827117647595407454373782232500316249167181288218121426700207751393782012195484804053818121141534867192781347094007850407174768849161023499_<227>

9×10²⁴⁴-2 = 8(9)₂₄₃8_<245> = 2 × 17 × 2106431 × 71276423 × 163170053356879_<15> × 108051301572985300120890768160337039133377266399328621379340119438623586702536210658013686418056049631564297018056429757166906036873519852592314830063167893766366657392810689346134780040549350338060910373812839922761_<216>

9×10²⁴⁵-2 = 8(9)₂₄₄8_<246> = 2 × 11 × 431 × 15949978979471_<14> × 6210712353595639_<16> × 9419102060257909_<16> × 151887941329959671161579_<24> × [669743071299788021802346357037220599364751274239394324066549417295813979572113668726744420868675538631969672595976936768724060031319568214200707927827003326924086840111039421_<174>] Free to factor

9×10²⁴⁶-2 = 8(9)₂₄₅8_<247> = 2 × 7 × 233 × 554296907825912974105137201122208241_<36> × [4977555336538605085791390193701753338471032980609337071506332133814467410254265004710009853515743676569871044892919604373467262163877552604404166690974127677846725359834984231470523952840038039966522879629169_<208>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:382302188 for P36 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²⁴⁷-2 = 8(9)₂₄₆8_<248> = 2 × 11² × 421 × 1049 × 735871 × [1144373707963376715037041737283765508348424551067980546402229603042802228949109021270084072998967317864078102290541261489873059197515592811545125476465960014667715098241870493425653042028355359929450972104929836347744144302052910144541_<235>] Free to factor

9×10²⁴⁸-2 = 8(9)₂₄₇8_<249> = 2 × 31 × 24739762267784911_<17> × 4505372320118957433993681137_<28> × 1059595891577636241331779416380278193_<37> × 24747612133523983269320377427782018223314980817_<47> × 150111601563286041341757413814801080697225568121897_<51> × 33085430227032832371816466164810955299409324895676059557779541731482471_<71> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:702591560 for P37 / May 3, 2022 2022 年 5 月 3 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2182771171 for P51 / May 12, 2022 2022 年 5 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P71 / May 13, 2022 2022 年 5 月 13 日)

9×10²⁴⁹-2 = 8(9)₂₄₈8_<250> = 2 × 11 × 4994377521481262624164217669867311369_<37> × [81910289586915015669365374690654930188163436162108270605010674666972657618802184843977654941920985821303292585477297444879910089484662146953453823886627814339286118818834414633111285397062370237950385459713204661_<212>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2950593499 for P37 / July 6, 2023 2023 年 7 月 6 日) Free to factor

9×10²⁵⁰-2 = 8(9)₂₄₉8_<251> = 2 × 4334244223198727_<16> × 5995681961660584271487577765321_<31> × [1731651713352821360357182883511780837097412182534027979427430496914751692606623741746001893028012117542627231230659728232891178432750204584540851885388626093328324132608473304476596564847881801852214087297_<205>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2673693172 for P31 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²⁵¹-2 = 8(9)₂₅₀8_<252> = 2 × 11 × 59 × 123169 × 34292986377989_<14> × 2192231609368882599943403911171_<31> × 74881521322088594777269254953720480404738892551943900033436020764023028609146241934224311753925124370369780879087866594823370413160626445033087658886289130383416229421508317238550900191434298323705641_<200> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1454786473 for P31 x P200 / May 3, 2022 2022 年 5 月 3 日)

9×10²⁵²-2 = 8(9)₂₅₁8_<253> = 2 × 7 × 599 × 3361 × 248879 × 20066369 × 2952520111588837705713141977_<28> × 21655550436618321603933433367931968170005695022203647813566891167630959881531083303018821264872097600943086464557231886415679094348044738682266775541780051424282401686112817979254301664200348050946829562969_<206>

9×10²⁵³-2 = 8(9)₂₅₂8_<254> = 2 × 11 × 109 × 2850989 × 2773455661_<10> × 14154056614012661_<17> × 8434205882731769890261_<22> × [39760463206340818519552812961372307730441849689031887381426726654795125740669258254926232803705942271995788381532429085719274360463386013193746006811305169076132150705775362977071770956192898835889_<197>] Free to factor

9×10²⁵⁴-2 = 8(9)₂₅₃8_<255> = 2 × 23 × 193 × [101374183374633926560036044154088758729443568371254787114214913268754223924307276413606668168506420364947060148682135616129758954719531425996846136517233611173687767515206127506195088984005406623113313809416535255688218067132236990313133588646091462041_<252>] Free to factor

9×10²⁵⁵-2 = 8(9)₂₅₄8_<256> = 2 × 11 × [409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909_<255>] Free to factor

9×10²⁵⁶-2 = 8(9)₂₅₅8_<257> = 2 × 71 × 3967 × 159768796798943395690502987676500140241499412405869550552622516039011989760595334041049929524208523132746567633682102699382582360814749855320478454290147235822294492947095225753309876907018110680721586894698161238669729493674930855615163123941531721207_<252>

9×10²⁵⁷-2 = 8(9)₂₅₆8_<258> = 2 × 11 × 89 × 339389 × 19392229 × 246309487849_<12> × 283545779636717565587207417306746789643417543145819966596748987959862517865909270330281871465395635598045454394787103248655355358086944526887255154478103500385634460268575574419813702388505134435735609712372002444118468454432158349_<231>

9×10²⁵⁸-2 = 8(9)₂₅₇8_<259> = 2 × 7 × 449 × 1519410370912871_<16> × 15466217610110881_<17> × 29815673759281471_<17> × 13303778726682275747406349789841_<32> × 3338165212347979399254133871971391950004639_<43> × 46013096683509014328068330995638091588981461484830233882628852258643371554707726937997846688084364603882162571950640745149492236230367_<134> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:804874104 for P32 / May 3, 2022 2022 年 5 月 3 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:950574276 for P43 x P134 / May 13, 2022 2022 年 5 月 13 日)

9×10²⁵⁹-2 = 8(9)₂₅₈8_<260> = 2 × 11 × 19 × 56919829 × 687361050660061_<15> × [5503230733015028712455495704752428446544647061129215038015522327597954512855147479221852056283663613097368797479209679072586361772735484661046436815978183074578688000245059400528242805094584125630428482300060284764964028620538408481519_<235>] Free to factor

9×10²⁶⁰-2 = 8(9)₂₅₉8_<261> = 2 × 17 × 19919 × 114769679 × 11578942408240827208913428169773112519397919358079777088220587980518794623812271198635082939990283679975651311464020075265103636951967680309110530235678533825882272544332688716491835692695115677388401828948595625365549820290495795893636453082425647_<248>

9×10²⁶¹-2 = 8(9)₂₆₀8_<262> = 2 × 11 × 187069 × 287042940409_<12> × 100836444443607906766360115869_<30> × [75553329895874453676027890702925793607241755039429373680061189207444802784613318281969607083203039678997574080801718444309203693586464099219444161485505373841464692436644458687461372820073602981494577145784850862141_<215>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2321984020 for P30 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²⁶²-2 = 8(9)₂₆₁8_<263> = 2 × 7129 × 9689 × 247843879 × 61261414983185436627112217_<26> × 42908143250970334612789385205394463713280868462308652404539745023724510638719345173679151440197824581606299555192042515191982818954297691282477189326008304270625482226226417341398870872274334746745370597427114315006518753_<221>

9×10²⁶³-2 = 8(9)₂₆₂8_<264> = 2 × 11 × 31 × 61 × 229 × 58451648441_<11> × 6673544137189_<13> × 231372443123704699_<18> × 671728140009950923379_<21> × 1558239977376831353794237280699936792984646534112513736068726956025548040879858574923704486844426011075693867585568710367058580338360420077307452805349139610880146973999422830875074122687213167439_<196>

9×10²⁶⁴-2 = 8(9)₂₆₃8_<265> = 2 × 7 × 4057 × 13615234258651633_<17> × 12939369223968370793_<20> × [899438021638115608968992128171846950105180037907900962617845979886242833930035056211767379376786481260915830787739560068353386056595763923422065244512808265728068301228003327350472996396973113693969035706279796903609757664729_<225>] Free to factor

9×10²⁶⁵-2 = 8(9)₂₆₄8_<266> = 2 × 11 × 29 × 1267961 × 111254076995272831574660612206610915534547445449523939972452353272072273002057935886940580846509477132811055106989967816890346243677545148826667900911155809483069575834856959978044279859393339577884577351410729757050590534291993727178682965286757544155649161_<258>

9×10²⁶⁶-2 = 8(9)₂₆₅8_<267> = 2 × 3257 × 377339907023263_<15> × 616857504296441_<15> × 3160699043382919_<16> × 8565005888681791_<16> × 60001292999693311164190537646908627873_<38> × 365431301303640847364198844156917115603233286045182128626835812024766255369626384862961816451996363334604744481615477471837665689424373012654260618920513849688029337_<165> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:4034415814 for P38 x P165 / July 7, 2023 2023 年 7 月 7 日)

9×10²⁶⁷-2 = 8(9)₂₆₆8_<268> = 2 × 11 × 6971 × 42409 × [1383778931126219550471609710476027151032925673095495193822269394132127693942629716795413422542900067407223555235771146383251340808213348135200400889735534996667240708393347915265652640825591243710641346912428145983630438301130682474304442205679421173046872431_<259>] Free to factor

9×10²⁶⁸-2 = 8(9)₂₆₇8_<269> = 2 × 3079 × 109943 × 2904083719_<10> × 159306390127735194638924878036553_<33> × [287337899617386211352694751054148573607753500767792629562523853152878764190715593654717739618038445379649468735831948660666134627783749485819198995776919664560815460183608090204300711127259559909898710213887404945254081_<219>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:532996529 for P33 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²⁶⁹-2 = 8(9)₂₆₈8_<270> = 2 × 11² × 151 × 991 × 5281 × 617654899 × 781697847515719_<15> × 75439242557803841_<17> × 733725429117687131_<18> × 176094048206514205663986194552481311625958568457210946874223116640994586089493184623724256404681829527294944408995761023387282214549157965811512153244501478231441413133392617265498673498920794338631689_<201>

9×10²⁷⁰-2 = 8(9)₂₆₉8_<271> = 2 × 7² × 47 × 13499879 × 50091349951_<11> × 150069588607_<12> × 19254545512558005655820406077902000677249930185285214648841246586075117115682434902115439904354098185899444131652813912035214122678387011827090537858494233540840108807714020937088153124818932839816427478839895056310318119913042064694722711_<239>

9×10²⁷¹-2 = 8(9)₂₇₀8_<272> = 2 × 11 × 27708901614576541839060636198225424801_<38> × [147638803869332290942226291901041042582722542288028204174216949104229382338951712158919839567302033239243477991532616061364616036882144522306288665033835986986181973030965158336238349081867541776917979497814677614877460167512469307709_<234>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2927057456 for P38 / May 26, 2022 2022 年 5 月 26 日) Free to factor

9×10²⁷²-2 = 8(9)₂₇₁8_<273> = 2 × 25849 × 41698079 × 16217477431791433943_<20> × 1143002758340603804890991_<25> × [22522787468998746815491703966621519489559873602500945952133393195002427349828988901969454803996581645570339498472716523964251254076029930454306918519813858518881623482719175992198394501595606389351399316095664061966513_<218>] Free to factor

9×10²⁷³-2 = 8(9)₂₇₂8_<274> = 2 × 11 × 179581 × 50913719 × 1862795201_<10> × [24019253807315085851075588736384753491639645153408672077086860636057736555890394803504170616567211964507803185283348919006555986036339875458200627301618829140059776531910963424106332611661879913089191577235535752483854415495998060755822809224992841831_<251>] Free to factor

9×10²⁷⁴-2 = 8(9)₂₇₃8_<275> = 2 × 97 × 2371253658743_<13> × 3551229072428881982519_<22> × 7918006490758233899708499127592025313293569_<43> × 6957740462461757115965236169470461581109808221633744833887119858810552409747203344539099508407372795196037389392438716562018619553465067359320401883242579070097717474143518723718559480820999965679_<196> (Ignacio Santos / GMP-ECM B1=3000000 for P43 x P196 / October 4, 2023 2023 年 10 月 4 日)

9×10²⁷⁵-2 = 8(9)₂₇₄8_<276> = 2 × 11 × 355519 × 263631892211_<12> × 116984129220395855179_<21> × 20902559021983233097439_<23> × 5002008606623479565068211_<25> × [35685207496497054757304754709607517544965060279221465663257366371321613996571532536404858195408756711871884576091936283013771002450485735979874590264689726870308338458881797618838461395906111_<191>] Free to factor

9×10²⁷⁶-2 = 8(9)₂₇₅8_<277> = 2 × 7 × 17 × 23 × 401 × 2687 × 4177 × 341167703224990905842783_<24> × 1070762838379727764324430512806161158013245748871924408219322854996197908764972521832974122129330817888831122553437744879404812677299742389634546172794411551424961912345976384560961540378507597168118943232679867524971613435918432002380314031_<241>

9×10²⁷⁷-2 = 8(9)₂₇₆8_<278> = 2 × 11 × 19 × 911 × 47107695851_<11> × [5017137324537049626565589098846849175533063661247898403421516853937936398008340587199601215013052303852010842338646108638290537615518551579951150534009560807622834403248822475832651830061085219288750985914273868587069466469960123739243401184452587249332296162051_<262>] Free to factor

9×10²⁷⁸-2 = 8(9)₂₇₇8_<279> = 2 × 31 × 1913 × 20129 × 7279248569_<10> × [51787756853357996578821314252453147519632491718400668722322995891579567794941755676287968071336689164058817025697469813188038381206443731419275655281991438682757180847989114614732942866853030467158919342174209653661165819028233411189968094093845834469113762833_<260>] Free to factor

9×10²⁷⁹-2 = 8(9)₂₇₈8_<280> = 2 × 11 × 9931439540913580780411893307095091_<34> × [41191501736039096564519029762600774964481846153945126511225885677558425233863856937840414011497583109381429147620460607920438401167964882832298010929213343309222416644697211465470158514152971741461729091123765671953718335442837455805384262045999_<245>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3024640618 for P34 / May 26, 2022 2022 年 5 月 26 日) Free to factor

9×10²⁸⁰-2 = 8(9)₂₇₉8_<281> = 2 × 7993 × 26886719 × 33541406547073_<14> × 712124335919463377116897_<24> × 20245238929745640388286296409332992541129_<41> × [433016941169013505703626672498239088721649834999768692073461991979034227960687230071570894974009356261609872163986994499857471791318913153082273650828480806085995808232589772588326827147025953_<192>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3486592248 for P41 / July 6, 2023 2023 年 7 月 6 日) Free to factor

9×10²⁸¹-2 = 8(9)₂₈₀8_<282> = 2 × 11 × 419 × 5449 × 92671 × 261697861 × 311717909 × 96156373176221318464169_<23> × [24649331570329654532923337125760257294715750622355728217683914091076874675729159636024687446145696629768211217602892922831129861664570475308398068941988134206513364651461886844705897870403964079703450904596298450501083001104621289_<230>] Free to factor

9×10²⁸²-2 = 8(9)₂₈₁8_<283> = 2 × 7 × 1433 × 109583 × 4093785634044331802952236785019577115164447919306296052262533748566070843125968022805420841376966340420547484095672377967350154593581411909056937865284910063345937987100505120109973856147918947771403734340156667520506020142391452907746932830501710177584026808262572695932863_<274>

9×10²⁸³-2 = 8(9)₂₈₂8_<284> = 2 × 11 × 139 × 191 × 311 × 6063839 × 36890395147007300831_<20> × 1587192250266307257579284507584792694909_<40> × 1395470849390982717210383975815745412295207666987072646593796590769283463689220116667593693812394113417596046426859211735391123368201402823759329580286162561582839933794727661803934240123113493476184955685963051_<211> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3806726358 for P40 x P211 / July 6, 2023 2023 年 7 月 6 日)

9×10²⁸⁴-2 = 8(9)₂₈₃8_<285> = 2 × 1543 × 291639662994167206740116655865197666882696046662346079066753078418664938431626701231367465975372650680492546986390149060272197018794556059624108878807517822423849643551523007128969539857420609202851587815942968243681140635126377187297472456254050550874918988982501620220349967595593_<282>

9×10²⁸⁵-2 = 8(9)₂₈₄8_<286> = 2 × 11 × [409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909_<285>] Free to factor

9×10²⁸⁶-2 = 8(9)₂₈₅8_<287> = 2 × 967865833459755607229798665146240949380103_<42> × [46494047464349432175334311967152966670024316661411984779228828629164645563652904314689686113069653236379046018777085628777901323991248568964036562959411790075146288936666137200833486085664827439405183143970389516862628494918856493516489264412233_<245>] (Ignacio Santos / GMP-ECM B1=3000000 for P42 / October 4, 2023 2023 年 10 月 4 日) Free to factor

9×10²⁸⁷-2 = 8(9)₂₈₆8_<288> = 2 × 11 × 40909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909_<287>

9×10²⁸⁸-2 = 8(9)₂₈₇8_<289> = 2 × 7 × 27073 × 1695303432108031_<16> × 67108270148204949912330967931238399199_<38> × 208715453147600031429587990268128971875861802782283265254182853287685658656247149011087343392481950549382966840123686489515354607031565436740568301527672635653221677459962957183428610408117148895591439918352046760981875795096889961_<231> (Dmitry Domanov / for P38 x P231 / February 17, 2023 2023 年 2 月 17 日)

9×10²⁸⁹-2 = 8(9)₂₈₈8_<290> = 2 × 11 × 87412129351923931_<17> × [46800245243299870105037338602689425471542962954627987046406949393950556365624748426861404689316943195181054964798900744883986688763848280684753616568922905420697713235150043132643280394757497004021249196815811272791400662878578839038159683553360132082980669281823964729639_<272>] Free to factor

9×10²⁹⁰-2 = 8(9)₂₈₉8_<291> = 2 × 449 × 1002227171492204899777282850779510022271714922048997772828507795100222717149220489977728285077951002227171492204899777282850779510022271714922048997772828507795100222717149220489977728285077951002227171492204899777282850779510022271714922048997772828507795100222717149220489977728285077951_<289>

9×10²⁹¹-2 = 8(9)₂₉₀8_<292> = 2 × 11² × 71 × 1091 × [480113639697758861537466841484933873948404427672000444691922280057541086258176735378752581544367674866189661318236284406943894240140679697946639316548631617446305424185201809366931756967329120353926972154795892489112889760253653638125119961727474481693320264284421027227671274939636379_<285>] Free to factor

9×10²⁹²-2 = 8(9)₂₉₁8_<293> = 2 × 17 × 13579662697_<11> × 194928171825224810641398094877965618043085278417622471144028991618237532306870462503549489694229748146948655348605283983096928698071519429529621228047710434925228003686574406022337639233285745407131213925571612797319125705024606222605890850695778428695194840943395956055032525863351_<282>

9×10²⁹³-2 = 8(9)₂₉₂8_<294> = 2 × 11 × 29 × 31 × 821 × 1946358612389629625499031_<25> × [28476992353924241814179113410861724766908364473453458134633350094226699897445501214891005564184970090944995296468041053902083836880459277560582987569833733328105395042388656773724070279242694003364963737459222161308938727142011755925303949914878034217525310343541_<263>] Free to factor

9×10²⁹⁴-2 = 8(9)₂₉₃8_<295> = 2 × 7 × 25110038623_<11> × 60555019857376629103431418394229013278889_<41> × [422782441257697968220072593670218915727155171561675272619873698541034574544384784346364087306173670407799746343425476537277910520282731747043184498414617840100763176386130561192408379136453795540205721845650910601281862837993047529813461720831_<243>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1433458383 for P41 / May 26, 2022 2022 年 5 月 26 日) Free to factor

9×10²⁹⁵-2 = 8(9)₂₉₄8_<296> = 2 × 11 × 19 × 165609541 × 10865109030947382404497356569579_<32> × [119659390221633690210876605570890959944174305171428155356525536505203408833089690517897401770927481101601557020584068346999323072936064402557903413412303687791981860351612652836710825407212755571927547196705119725480123445529178492447504751947980487749449_<255>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1222412107 for P32 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²⁹⁶-2 = 8(9)₂₉₅8_<297> = 2 × 167 × 761 × 19759 × 6081263 × 628176913506617143_<18> × [46910565384821869314967670930310334492703672391195334606862312925757970364619631421621068096160036484908857242065857751979242837318362901360528218731835218115950945315717228630086822378226883541418486885040352449902850706646598321903051799276209287813323712744567_<263>] Free to factor

9×10²⁹⁷-2 = 8(9)₂₉₆8_<298> = 2 × 11 × 1758269 × 27049241 × 126492491 × 49205631108721356883112450936621081_<35> × [1381974006759881980366232555069142922136062466270932809201744230830318033853134451526849695769109551011313719645902265547212300540627109314388859909767105159784487520091686941863183570142363609778636318039791925619126833173571039466288619251_<241>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2564640250 for P35 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²⁹⁸-2 = 8(9)₂₉₇8_<299> = 2 × 23 × 1490729 × 6801592279807215475524726590129_<31> × [192963595585556965096071677018583617738431496589883235585090751402516467452585012090602549040692540748645829688932284339512662618823475254732462029892834570200912769893932060490618115713690480663187561352808025683347388067031347651134060712465597128160784104193_<261>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2892005795 for P31 / May 3, 2022 2022 年 5 月 3 日) Free to factor

9×10²⁹⁹-2 = 8(9)₂₉₈8_<300> = 2 × 11 × [40909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909_<299>] Free to factor

9×10³⁰⁰-2 = 8(9)₂₉₉8_<301> = 2 × 7 × 9481433233587937_<16> × 70062000212261526574067108953678261935679_<41> × 967738347449459106581892569932091070041781024548544958597189442132124164423436022795340839430777528121176912100175446068048598017101625510408297323161381082948237863708062424024651818459788386513455798006779416115187529129243301340051503791959_<243> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:11592538 for P41 x P243 / May 10, 2022 2022 年 5 月 10 日)

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