Factorization of 900...008

Table of contents 目次

About 900...008 900...008 について
Prime numbers of the form 900...008 900...008 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 900...008 900...008 の素因数分解表

1. About 900...008 900...008 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

90w8 = { 98, 908, 9008, 90008, 900008, 9000008, 90000008, 900000008, 9000000008, 90000000008, … }

2. Prime numbers of the form 900...008 900...008 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 900...008 exists. 900...008 の形の素数は存在しません。

3. Factor table of 900...008 900...008 の素因数分解表

3.2. Range of factorization 分解範囲

n≤100 / Completed 終了 / February 7, 2023 2023 年 2 月 7 日
n≤150 / Completed 終了 / March 15, 2023 2023 年 3 月 15 日
n≤200 / Completed 終了 / June 22, 2023 2023 年 6 月 22 日
n≤300 / Remaining 55 残り 55

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

n=208, 209, 210, 212, 213, 215, 216, 217, 218, 219, 222, 226, 228, 229, 231, 234, 238, 241, 242, 243, 244, 245, 247, 249, 250, 251, 253, 254, 255, 257, 259, 260, 261, 262, 265, 267, 269, 271, 272, 273, 274, 276, 278, 281, 283, 284, 285, 286, 287, 288, 291, 292, 293, 298, 299 (55/300)

3.4. Factor table 素因数分解表

9×10¹+8 = 98 = 2 × 7²

9×10²+8 = 908 = 2² × 227

9×10³+8 = 9008 = 2⁴ × 563

9×10⁴+8 = 90008 = 2³ × 11251

9×10⁵+8 = 900008 = 2³ × 112501

9×10⁶+8 = 9000008 = 2³ × 1125001

9×10⁷+8 = 90000008 = 2³ × 7 × 1607143

9×10⁸+8 = 900000008 = 2³ × 8761 × 12841

9×10⁹+8 = 9000000008_<10> = 2³ × 1125000001_<10>

9×10¹⁰+8 = 90000000008_<11> = 2³ × 43 × 569 × 459803

9×10¹¹+8 = 900000000008_<12> = 2³ × 709 × 3467 × 45767

9×10¹²+8 = 9000000000008_<13> = 2³ × 1125000000001_<13>

9×10¹³+8 = 90000000000008_<14> = 2³ × 7 × 11527 × 139424209

9×10¹⁴+8 = 900000000000008_<15> = 2³ × 19 × 83 × 97 × 3539 × 207811

9×10¹⁵+8 = 9000000000000008_<16> = 2³ × 269 × 438527 × 9536827

9×10¹⁶+8 = 90000000000000008_<17> = 2³ × 17 × 4792153 × 138093401

9×10¹⁷+8 = 900000000000000008_<18> = 2³ × 23 × 281 × 277421 × 62744987

9×10¹⁸+8 = 9000000000000000008_<19> = 2³ × 67 × 547 × 3147169 × 9753721

9×10¹⁹+8 = 90000000000000000008_<20> = 2³ × 7 × 461 × 12907 × 270102278009_<12>

9×10²⁰+8 = 900000000000000000008_<21> = 2³ × 112500000000000000001_<21>

9×10²¹+8 = 9000000000000000000008_<22> = 2³ × 29 × 138101 × 280903856223169_<15>

9×10²²+8 = 90000000000000000000008_<23> = 2³ × 1595390441_<10> × 7051565379161_<13>

9×10²³+8 = 900000000000000000000008_<24> = 2³ × 163 × 1042136527_<10> × 662277956101_<12>

9×10²⁴+8 = 9000000000000000000000008_<25> = 2³ × 1125000000000000000000001_<25>

9×10²⁵+8 = 90000000000000000000000008_<26> = 2³ × 7 × 103 × 7907 × 272341 × 275489 × 26301967

9×10²⁶+8 = 900000000000000000000000008_<27> = 2³ × 179 × 2801 × 503791307 × 445385130017_<12>

9×10²⁷+8 = 9000000000000000000000000008_<28> = 2³ × 61 × 1783 × 2787329 × 13361603 × 277731121

9×10²⁸+8 = 90000000000000000000000000008_<29> = 2³ × 11250000000000000000000000001_<29>

9×10²⁹+8 = 900000000000000000000000000008_<30> = 2³ × 1049 × 4781383 × 22429701873611833103_<20>

9×10³⁰+8 = 9000000000000000000000000000008_<31> = 2³ × 1609 × 1962449 × 356285460028918389161_<21>

9×10³¹+8 = 90000000000000000000000000000008_<32> = 2³ × 7 × 43 × 47 × 5563 × 142948337543235995341841_<24>

9×10³²+8 = 900000000000000000000000000000008_<33> = 2³ × 17 × 19 × 653659184537_<12> × 532842223993222051_<18>

9×10³³+8 = 9000000000000000000000000000000008_<34> = 2³ × 443 × 9462251101_<10> × 268382582421230830607_<21>

9×10³⁴+8 = 90000000000000000000000000000000008_<35> = 2³ × 601 × 2017 × 735471144841_<12> × 12618464602280833_<17>

9×10³⁵+8 = 900000000000000000000000000000000008_<36> = 2³ × 14327 × 182833489 × 8141165983_<10> × 5275394051849_<13>

9×10³⁶+8 = 9000000000000000000000000000000000008_<37> = 2³ × 577 × 5012849 × 135689369 × 233791499 × 12260764427_<11>

9×10³⁷+8 = 90000000000000000000000000000000000008_<38> = 2³ × 7 × 827 × 39068663 × 49741677077463976315672243_<26>

9×10³⁸+8 = 900000000000000000000000000000000000008_<39> = 2³ × 107 × 1801 × 2085850749940777_<16> × 279879959283267059_<18>

9×10³⁹+8 = 9000000000000000000000000000000000000008_<40> = 2³ × 23 × 846061 × 57812667737031809249235446740067_<32>

9×10⁴⁰+8 = 90000000000000000000000000000000000000008_<41> = 2³ × 59 × 1523 × 72981563 × 11748844466441_<14> × 146013258425371_<15>

9×10⁴¹+8 = 900000000000000000000000000000000000000008_<42> = 2³ × 643 × 11791911712009590643_<20> × 14837383795281939049_<20>

9×10⁴²+8 = 9000000000000000000000000000000000000000008_<43> = 2³ × 199120739 × 5649838412863664592968389897347659_<34>

9×10⁴³+8 = 90000000000000000000000000000000000000000008_<44> = 2³ × 7² × 89 × 31960360063_<11> × 642876606109_<12> × 125553016105071923_<18>

9×10⁴⁴+8 = 900000000000000000000000000000000000000000008_<45> = 2³ × 2399171 × 15286190096209_<14> × 3067552915791173898465659_<25>

9×10⁴⁵+8 = 9000000000000000000000000000000000000000000008_<46> = 2³ × 281 × 193841 × 20653828234796611472355236445851785081_<38>

9×10⁴⁶+8 = 90000000000000000000000000000000000000000000008_<47> = 2³ × 162741179 × 198342502313_<12> × 348529285869640642877419963_<27>

9×10⁴⁷+8 = 900000000000000000000000000000000000000000000008_<48> = 2³ × 149 × 661 × 23623 × 5570423 × 177305974667_<12> × 48957383485712863163_<20>

9×10⁴⁸+8 = 9000000000000000000000000000000000000000000000008_<49> = 2³ × 17 × 587 × 195359243 × 577074037746220257070808258852538233_<36>

9×10⁴⁹+8 = 90000000000000000000000000000000000000000000000008_<50> = 2³ × 7 × 29 × 55418719211822660098522167487684729064039408867_<47>

9×10⁵⁰+8 = 900000000000000000000000000000000000000000000000008_<51> = 2³ × 19 × 1931 × 3881 × 34884581025733051619_<20> × 22648502579499654127331_<23>

9×10⁵¹+8 = 9(0)₅₀8_<52> = 2³ × 67 × 100403 × 3146567 × 53148871366076499462122892369723469903_<38>

9×10⁵²+8 = 9(0)₅₁8_<53> = 2³ × 43 × 16045921 × 16304947966323914099197648293730022987527267_<44>

9×10⁵³+8 = 9(0)₅₂8_<54> = 2³ × 167 × 4201 × 301957340843_<12> × 434414339923_<12> × 1222457093178900575756527_<25>

9×10⁵⁴+8 = 9(0)₅₃8_<55> = 2³ × 113 × 58091676971_<11> × 2153399171227_<13> × 79585806869399643786777470281_<29>

9×10⁵⁵+8 = 9(0)₅₄8_<56> = 2³ × 7 × 83 × 483239945617138667_<18> × 40069466792112936748319714658543463_<35>

9×10⁵⁶+8 = 9(0)₅₅8_<57> = 2³ × 1153 × 97571552471812662619254119687771032090199479618386817_<53>

9×10⁵⁷+8 = 9(0)₅₆8_<58> = 2³ × 24585807786140810470777249441_<29> × 45758106049872002344517240161_<29>

9×10⁵⁸+8 = 9(0)₅₇8_<59> = 2³ × 9187 × 17467 × 3016607081_<10> × 4263643123_<10> × 4042422065491_<13> × 1348401533573488193_<19>

9×10⁵⁹+8 = 9(0)₅₈8_<60> = 2³ × 103 × 1453169 × 115564091542507_<15> × 600945560653787_<15> × 10822837361994477291727_<23>

9×10⁶⁰+8 = 9(0)₅₉8_<61> = 2³ × 4993 × 6113 × 259619 × 610327219651_<12> × 2570335997507609_<16> × 90499764697269560609_<20>

9×10⁶¹+8 = 9(0)₆₀8_<62> = 2³ × 7 × 23 × 109 × 1301 × 10369 × 22787 × 699541 × 5718360079381_<13> × 521331723120680010354291923_<27>

9×10⁶²+8 = 9(0)₆₁8_<63> = 2³ × 131 × 283 × 379 × 14561 × 549875512080360690382893084905339410111251352873123_<51>

9×10⁶³+8 = 9(0)₆₂8_<64> = 2³ × 198216705505004909467_<21> × 2040232239507829122881_<22> × 2781843301088005169363_<22>

9×10⁶⁴+8 = 9(0)₆₃8_<65> = 2³ × 17² × 67169 × 28502876528003_<14> × 20332796102027506756831203038453874720764587_<44>

9×10⁶⁵+8 = 9(0)₆₄8_<66> = 2³ × 58441 × 666889 × 3421483763_<10> × 4177367863_<10> × 246114539149_<12> × 820591199087078855556929_<24>

9×10⁶⁶+8 = 9(0)₆₅8_<67> = 2³ × 233 × 7210969 × 38053567911497097847028987_<26> × 17595742197465728144255904082099_<32>

9×10⁶⁷+8 = 9(0)₆₆8_<68> = 2³ × 7 × 2309 × 146634201421_<12> × 1211532193961_<13> × 3599981678286044263_<19> × 1088328548712975160009_<22>

9×10⁶⁸+8 = 9(0)₆₇8_<69> = 2³ × 19 × 727610732661427331_<18> × 8137665328164061645317043244762677313322111977609_<49>

9×10⁶⁹+8 = 9(0)₆₈8_<70> = 2³ × 23741 × 49006895772468923_<17> × 152800816780930772401687_<24> × 6328060821606316296470761_<25>

9×10⁷⁰+8 = 9(0)₆₉8_<71> = 2³ × 39406216219481208470353_<23> × 285487952899125333271602495407927377035024068017_<48>

9×10⁷¹+8 = 9(0)₇₀8_<72> = 2³ × 96195787 × 9684343247941_<13> × 120760887583832200497999119044915072493253510448903_<51>

9×10⁷²+8 = 9(0)₇₁8_<73> = 2³ × 48930484448235239736883_<23> × 22991801791583835793787024359854007365405441975547_<50>

9×10⁷³+8 = 9(0)₇₂8_<74> = 2³ × 7 × 43 × 281 × 133008595311003653302751208900344048899871129449876449793688889939821_<69>

9×10⁷⁴+8 = 9(0)₇₃8_<75> = 2³ × 401 × 7187 × 4600664561_<10> × 240818221433_<12> × 3164936082641_<13> × 348155398019617_<15> × 31975144368910358243_<20>

9×10⁷⁵+8 = 9(0)₇₄8_<76> = 2³ × 5003 × 20287 × 77969 × 6501587 × 16483381 × 156978642664381_<15> × 1500616889928643_<16> × 5631267408077005589_<19>

9×10⁷⁶+8 = 9(0)₇₅8_<77> = 2³ × 2897 × 13683760289_<11> × 134001203864440913292173966419_<30> × 2117824019180737877769861835559563_<34> (Eric Jeancolas / ECM for P30 x P34 / February 7, 2023 2023 年 2 月 7 日)

9×10⁷⁷+8 = 9(0)₇₆8_<78> = 2³ × 29 × 47 × 2337029 × 35317712349763321584220836234289675776861358521636123620729413498463_<68>

9×10⁷⁸+8 = 9(0)₇₇8_<79> = 2³ × 1091 × 10243 × 100670122977727384054192561632262689424259065657770082503863719319885177_<72>

9×10⁷⁹+8 = 9(0)₇₈8_<80> = 2³ × 7 × 2549 × 18287 × 437029771273787683_<18> × 8080066227900232714730147_<25> × 9763740734685049358764661261_<28>

9×10⁸⁰+8 = 9(0)₇₉8_<81> = 2³ × 17 × 3209 × 30974011 × 4047303944845027405987212253537_<31> × 16450178522700970570511352255849264331_<38> (Eric Jeancolas / ECM for P31 x P38 / February 7, 2023 2023 年 2 月 7 日)

9×10⁸¹+8 = 9(0)₈₀8_<82> = 2³ × 307 × 1487 × 5147 × 28283 × 43427 × 89561 × 4352560073249601848548352644004748059209558294163288487287_<58>

9×10⁸²+8 = 9(0)₈₁8_<83> = 2³ × 3547 × 2821266260283041_<16> × 15302932767453594059557729_<26> × 73463664616827332427717527646198948947_<38>

9×10⁸³+8 = 9(0)₈₂8_<84> = 2³ × 23 × 1640279929_<10> × 2981993659343305270988132130241278230440172735853212697733905860173084703_<73>

9×10⁸⁴+8 = 9(0)₈₃8_<85> = 2³ × 67 × 26357734402659019_<17> × 637044311912691936673314860662322357401147057121440013749697370337_<66>

9×10⁸⁵+8 = 9(0)₈₄8_<86> = 2³ × 7⁵ × 32869 × 125801626040569_<15> × 976659325622276689_<18> × 165747304799374379824365505209996692549761267_<45>

9×10⁸⁶+8 = 9(0)₈₅8_<87> = 2³ × 19 × 9883 × 692771 × 165651416561_<12> × 2928918144907_<13> × 1782452798647660714689289207983973219665564051097489_<52>

9×10⁸⁷+8 = 9(0)₈₆8_<88> = 2³ × 61 × 89 × 20743 × 1812449 × 5511823708224231898224562684368849499418550718970424971261361565797687067_<73>

9×10⁸⁸+8 = 9(0)₈₇8_<89> = 2³ × 127931 × 3997979 × 4939169 × 29079241 × 1352806324655708204205718736363_<31> × 113204487016750704505288158071587_<33> (Eric Jeancolas / ECM for P31 x P33 / February 7, 2023 2023 年 2 月 7 日)

9×10⁸⁹+8 = 9(0)₈₈8_<90> = 2³ × 3761 × 29912257378356819994682265354958787556500930603562882212177612337144376495612868917841_<86>

9×10⁹⁰+8 = 9(0)₈₉8_<91> = 2³ × 22823083 × 49292201233286493327829548707332834919804655663741835404095055869533489406317279747_<83>

9×10⁹¹+8 = 9(0)₉₀8_<92> = 2³ × 7 × 107 × 444752870697782610419384198529298343_<36> × 33771623955353994685250287523086309903549906622481043_<53> (Eric Jeancolas / ECM for P36 x P53 / February 7, 2023 2023 年 2 月 7 日)

9×10⁹²+8 = 9(0)₉₁8_<93> = 2³ × 35648363 × 117113137 × 364451021939_<12> × 145970542348238287817_<21> × 236998891130539754899_<21> × 2137256313855640917802883_<25>

9×10⁹³+8 = 9(0)₉₂8_<94> = 2³ × 103 × 314527 × 34726208233593232507151052307516409059422592364845829062910029703718152092828186050121_<86>

9×10⁹⁴+8 = 9(0)₉₃8_<95> = 2³ × 43 × 433 × 7057 × 21104929427_<11> × 74141378489_<11> × 209681435713_<12> × 260958538081314612648643395497528498985086792699552473_<54>

9×10⁹⁵+8 = 9(0)₉₄8_<96> = 2³ × 409 × 204067 × 14722087 × 136584154335251645741_<21> × 262427950139207786613289_<24> × 2554327908344882369479447656409233809_<37>

9×10⁹⁶+8 = 9(0)₉₅8_<97> = 2³ × 17 × 83 × 630689 × 12323611 × 685019367815132919754067_<24> × 149750892857591937087491068637460169712833623334971243787_<57>

9×10⁹⁷+8 = 9(0)₉₆8_<98> = 2³ × 7 × 33529 × 447961 × 14943847 × 483332435822635122978212507512358987_<36> × 14814442839499614394755889351608288003331523_<44> (Eric Jeancolas / ECM for P36 x P44 / February 7, 2023 2023 年 2 月 7 日)

9×10⁹⁸+8 = 9(0)₉₇8_<99> = 2³ × 59 × 5209 × 33851 × 1126550716649_<13> × 9598953821655611310356251124552539485505893709246317586188490149229352009129_<76>

9×10⁹⁹+8 = 9(0)₉₈8_<100> = 2³ × 18763482389_<11> × 4636351424803169_<16> × 2920824237296815807_<19> × 4427487132149163149219535129186787622208491824096829923_<55>

9×10¹⁰⁰+8 = 9(0)₉₉8_<101> = 2³ × 197699 × 2945111939110697_<16> × 39334226836024614451_<20> × 491219530407566329965656406904866036882184735650305958369217_<60>

9×10¹⁰¹+8 = 9(0)₁₀₀8_<102> = 2³ × 281 × 4391683 × 859925365287586647218483_<24> × 1723509727689787565493546584327_<31> × 61509290799800215104853902458280858407_<38> (Eric Jeancolas / ECM for P31 x P38 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁰²+8 = 9(0)₁₀₁8_<103> = 2³ × 74719543979_<11> × 15056301739691858083790353695943291993521924221913886528271527153507549112233052859060463619_<92>

9×10¹⁰³+8 = 9(0)₁₀₂8_<104> = 2³ × 7 × 2621 × 331904663 × 382725532895601007163_<21> × 4827104170249687184537192021928736115899499703715841034995531637185807_<70>

9×10¹⁰⁴+8 = 9(0)₁₀₃8_<105> = 2³ × 19 × 163 × 2833 × 6341331385769_<13> × 174559490413890686379934092512607712753177_<42> × 11583527338027102663182461168590034538775577_<44> (Eric Jeancolas / yafu-1.34 for P42 x P44 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁰⁵+8 = 9(0)₁₀₄8_<106> = 2³ × 23 × 29² × 24509 × 346963 × 1533487 × 40251163 × 81682474304188666697373099189709_<32> × 1356539730302177306059783185716772175604950249_<46> (Eric Jeancolas / ECM for P32 x P46 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁰⁶+8 = 9(0)₁₀₅8_<107> = 2³ × 1873 × 13513 × 79873 × 5335809497387_<13> × 15074020723043_<14> × 541255689095819_<15> × 127829495147181231838075979743048920730864496463525947_<54>

9×10¹⁰⁷+8 = 9(0)₁₀₆8_<108> = 2³ × 9136560649_<10> × 769624468769078476450427_<24> × 18014048730666716151986278438703_<32> × 888136218172349304495208831982426605604629_<42> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1115858344 for P32 x P42 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁰⁸+8 = 9(0)₁₀₇8_<109> = 2³ × 156810286399759859_<18> × 7174274250937933606075567286981860858356694583834307919445624802698425476415332933110004539_<91>

9×10¹⁰⁹+8 = 9(0)₁₀₈8_<110> = 2³ × 7 × 547 × 14366094644275680976436441_<26> × 571003362648311534603384929_<27> × 358170461931755423590504890658638258710074695249969221_<54>

9×10¹¹⁰+8 = 9(0)₁₀₉8_<111> = 2³ × 97 × 6159924150853898150606766182335529_<34> × 188280534959544475904697928839407451269294752172435747246374303394059080377_<75> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:202147113 for P34 x P75 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹¹+8 = 9(0)₁₁₀8_<112> = 2³ × 3581 × 376781066788798429_<18> × 4608103364678518216866947_<25> × 180940971511072605207519197577644030413206613400782653051820292467_<66>

9×10¹¹²+8 = 9(0)₁₁₁8_<113> = 2³ × 17 × 1933645301412323_<16> × 235790892914599727596453381651806889_<36> × 1451442253432721071322245159246027245471030509057059417566499_<61> (Eric Jeancolas / ECM for P36 x P61 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹³+8 = 9(0)₁₁₂8_<114> = 2³ × 223 × 281990848655883947_<18> × 1798804606524197463950704719597883_<34> × 994554653472927758788648899167356781240483958168364258146887_<60> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2406010743 for P34 x P60 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹⁴+8 = 9(0)₁₁₃8_<115> = 2³ × 929 × 1217 × 51417193 × 21450535625418267659041_<23> × 607089383847614887695251_<24> × 1486096758880992746311705845520406688676122262642336739_<55>

9×10¹¹⁵+8 = 9(0)₁₁₄8_<116> = 2³ × 7 × 43 × 227 × 35089 × 16193369 × 21486345421_<11> × 74538375901649771849_<20> × 180929543244490204241754110179143214773022201298616406617280998589667_<69>

9×10¹¹⁶+8 = 9(0)₁₁₅8_<117> = 2³ × 337 × 23747 × 202375001 × 169499197680234901463525243_<27> × 409816423237254356705727062514480204179594128129229607990932139372063617513_<75>

9×10¹¹⁷+8 = 9(0)₁₁₆8_<118> = 2³ × 67 × 263 × 11827 × 6641177588580923_<16> × 812834784925831717227454807353353933007639801094816575182355132933890551722347492808638179261_<93>

9×10¹¹⁸+8 = 9(0)₁₁₇8_<119> = 2³ × 181646619857_<12> × 24546607503945759325293529613103817_<35> × 2523095699201524655251277325390228764514372371557968314963858375550693929_<73> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2227995838 for P35 x P73 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹⁹+8 = 9(0)₁₁₈8_<120> = 2³ × 2801385219005051007980983519331731427_<37> × 40158704071393602246756709100612695408403962592921037146563890780217330742313596363_<83> (Eric Jeancolas / cado-nfs-3.0.0 for P37 x P83 / February 7, 2023 2023 年 2 月 7 日)

9×10¹²⁰+8 = 9(0)₁₁₉8_<121> = 2³ × 5452086056227_<13> × 21592718697688051_<17> × 30744595688761990660238503146870261888881_<41> × 310823400297390726120395828128808977759447301141273_<51> (Eric Jeancolas / ECM for P41 x P51 / February 7, 2023 2023 年 2 月 7 日)

9×10¹²¹+8 = 9(0)₁₂₀8_<122> = 2³ × 7 × 1847 × 191827 × 43947025043529249177901_<23> × 13482251550423762011266318561067906054355467_<44> × 7655718304499076938709819158610216719959251541_<46> (Eric Jeancolas / yafu-1.34 for P44 x P46 / February 7, 2023 2023 年 2 月 7 日)

9×10¹²²+8 = 9(0)₁₂₁8_<123> = 2³ × 19 × 30545899 × 66716761541033_<14> × 9849087615057244108883_<22> × 294995269609399044853490531727459140980638105572602132498863090425060054901139_<78>

9×10¹²³+8 = 9(0)₁₂₂8_<124> = 2³ × 47 × 23936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106383_<122>

9×10¹²⁴+8 = 9(0)₁₂₃8_<125> = 2³ × 347 × 571 × 465475316302267_<15> × 121980464746879247612009457522402321730157900386735279991393104339155331339897749477647452011208673155019_<105>

9×10¹²⁵+8 = 9(0)₁₂₄8_<126> = 2³ × 23509 × 252169 × 15707084006858497699803638667853634808383_<41> × 1208178502053133622789776298184946823371930310253006829963064064431118556907_<76> (Dmitry Domanov / Msieve 1.54 snfs for P41 x P76 / February 22, 2023 2023 年 2 月 22 日)

9×10¹²⁶+8 = 9(0)₁₂₅8_<127> = 2³ × 215040361741210276416423376012060148109817_<42> × 5231576020848951660256077402721967247661202084710895373806277247868422276299109294153_<85> (Eric Jeancolas / cado-nfs-3.0.0 for P42 x P85 / February 7, 2023 2023 年 2 月 7 日)

9×10¹²⁷+8 = 9(0)₁₂₆8_<128> = 2³ × 7² × 23 × 103 × 85057781 × 51647469726573798663330274067_<29> × 2316975530263791429292005406298883578051947_<43> × 9521532105851712083678357458955658376195709_<43> (Eric Jeancolas / yafu-1.34 for P43(2316...) x P43(9521...) / February 7, 2023 2023 年 2 月 7 日)

9×10¹²⁸+8 = 9(0)₁₂₇8_<129> = 2³ × 17 × 4201 × 1815697704257273279429185204806032833526357124463381241_<55> × 867575691508278295562438924432208297981940002123459961383962162906833_<69> (Rytis Slatkevicius / yafu2 for P55 x P69 / February 20, 2023 2023 年 2 月 20 日)

9×10¹²⁹+8 = 9(0)₁₂₈8_<130> = 2³ × 281 × 740479951292018000600179509156212697900019126009_<48> × 5406707787125966313417263246281381222585217507937984715391726781919159041243569_<79> (Bob Backstrom / Msieve 1.44 snfs for P48 x P79 / February 27, 2023 2023 年 2 月 27 日)

9×10¹³⁰+8 = 9(0)₁₂₉8_<131> = 2³ × 40585888876673366609_<20> × 53297925345701939463520338640178285927508723863291_<50> × 5200764113702538884584389603370872237250950474264113749293379_<61> (Lionel Debroux / CADO-NFS for P50 x P61 / March 12, 2023 2023 年 3 月 12 日)

9×10¹³¹+8 = 9(0)₁₃₀8_<132> = 2³ × 89 × 54583 × 7921177507_<10> × 54938867801_<11> × 43738936257389120281_<20> × 26748484175700555320013301_<26> × 1191137373008105569064796809_<28> × 38186197963914046862254686883241_<32>

9×10¹³²+8 = 9(0)₁₃₁8_<133> = 2³ × 2803 × 21287753 × 108751256798332553106094781008723_<33> × 173366554295913768356083783953222163697858101388245770615427887135582398614751766771228593_<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1664825265 for P33 x P90 / February 7, 2023 2023 年 2 月 7 日)

9×10¹³³+8 = 9(0)₁₃₂8_<134> = 2³ × 7 × 29 × 8089 × 313589 × 1066936292696459461847244758306025723145075727107_<49> × 20476811889759420170631159967816629507606686837953480198429977616159581061_<74> (Bob Backstrom / GMP-ECM 7.0.4 B1=39370000, sigma=1:2432417904 for P49 x P74 / March 2, 2023 2023 年 3 月 2 日)

9×10¹³⁴+8 = 9(0)₁₃₃8_<135> = 2³ × 497152433 × 3949529770171_<13> × 57295110530106703701739548308031607382749118707710962423198172097154685201886447589751102938801781711709863703907_<113>

9×10¹³⁵+8 = 9(0)₁₃₄8_<136> = 2³ × 24203 × 46481841094079246374416394661818782795521216378134941949345122505474527951080444572986819815725323307028054373424782051811758872867_<131>

9×10¹³⁶+8 = 9(0)₁₃₅8_<137> = 2³ × 43 × 261627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627907_<135>

9×10¹³⁷+8 = 9(0)₁₃₆8_<138> = 2³ × 83 × 126265264462802459226324986327854279318810961_<45> × 10734715462036615524613545120810771473909932826740037139989634578221732362180350068127102827_<92> (Bob Backstrom / Msieve 1.44 snfs for P45 x P92 / February 21, 2023 2023 年 2 月 21 日)

9×10¹³⁸+8 = 9(0)₁₃₇8_<139> = 2³ × 193 × 2659308707105459_<16> × 6473726076164713_<16> × 338588449640475607330317982158548619596362340431791173719357736640224722583133989980387518305743400538371_<105>

9×10¹³⁹+8 = 9(0)₁₃₈8_<140> = 2³ × 7 × 55807 × 1387292483_<10> × 272033071181_<12> × 3986983789321184154684681613547151217994797708283_<49> × 19139544505937263801040827762478000502223247237738900641564254461_<65> (Lionel Debroux / CADO-NFS for P49 x P65 / March 15, 2023 2023 年 3 月 15 日)

9×10¹⁴⁰+8 = 9(0)₁₃₉8_<141> = 2³ × 19 × 1996692455814826403593019669220299349306526127537_<49> × 2965430461929920163905015985407513347568420146403230906138332941516355119534041376401961867_<91> (Bob Backstrom / Msieve 1.44 snfs for P49 x P91 / February 22, 2023 2023 年 2 月 22 日)

9×10¹⁴¹+8 = 9(0)₁₄₀8_<142> = 2³ × 13261078888504324319150287_<26> × 52188009129288557378292949_<26> × 1625559738147874684982549807778405097521119871503990067686328028063682537051441044637661427_<91>

9×10¹⁴²+8 = 9(0)₁₄₁8_<143> = 2³ × 9787 × 1149484009400224787984060488402983549606621027894145294778788188413201185245734137120670276897925819965260038827015428629815060794932052723_<139>

9×10¹⁴³+8 = 9(0)₁₄₂8_<144> = 2³ × 375489719861_<12> × 226029274035378127427_<21> × 8358883487557536346109033176133881_<34> × 158577478925465898585407406897919304209437866390030738808533792137200846365143_<78> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2503061858 for P34 x P78 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁴⁴+8 = 9(0)₁₄₃8_<145> = 2³ × 17 × 107 × 410983219 × 1471083217_<10> × 109361296187706658387_<21> × 50511057580384442098115001168400153687015414169_<47> × 185186098670105247464606092158760623598590359280942956291_<57> (Eric Jeancolas / ECM for P47 x P57 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁴⁵+8 = 9(0)₁₄₄8_<146> = 2³ × 7 × 2347 × 1637381 × 5509815153392855043881_<22> × 75902244248361658380765010404749123780924710558190755729950366258652555763985595365789888684706732686699705417529_<113>

9×10¹⁴⁶+8 = 9(0)₁₄₅8_<147> = 2³ × 4691 × 8040503067518249163910428732121133134660627259_<46> × 2982660807277789222883888915212627555980932443970253547607103053631834161001757610913033687964129_<97> (Bob Backstrom / Msieve 1.44 snfs for P46 x P97 / February 23, 2023 2023 年 2 月 23 日)

9×10¹⁴⁷+8 = 9(0)₁₄₆8_<148> = 2³ × 61 × 2063 × 2203 × 6581 × 35731261 × 171810689 × 36497690158427_<14> × 2752030031436247388289920030631897081651411021983941238862385588621969432322910145440295933606650182633203_<106>

9×10¹⁴⁸+8 = 9(0)₁₄₇8_<149> = 2³ × 643 × 953 × 160529976753657697_<18> × 2822880194774012209801_<22> × 40513527558308983793916872715673676687893001699325524141255013946516672220711156220908444238178679452427_<104>

9×10¹⁴⁹+8 = 9(0)₁₄₈8_<150> = 2³ × 23 × 4612867969336307_<16> × 7247328636036051444282553927265012291465996732424438205875707_<61> × 146310571575883879090877178382097913539290706025275870040397493967449063_<72> (Bob Backstrom / Msieve 1.44 snfs for P61 x P72 / February 25, 2023 2023 年 2 月 25 日)

9×10¹⁵⁰+8 = 9(0)₁₄₉8_<151> = 2³ × 67 × 523 × 1019 × 26409978972473_<14> × 30688708321224187887193655441612562702341870507624301560486579_<62> × 38873637629460264099701517592537672236237985947009909022666453401257_<68> (Bob Backstrom / Msieve 1.44 snfs for P62 x P68 / February 25, 2023 2023 年 2 月 25 日)

9×10¹⁵¹+8 = 9(0)₁₅₀8_<152> = 2³ × 7 × 450916405998422286174551641988856184551552755186870275553035129_<63> × 3564170289134435227443382326583556996587109014078533786957553332082910701848759568891567_<88> (Bob Backstrom / Msieve 1.44 snfs for P63 x P88 / February 26, 2023 2023 年 2 月 26 日)

9×10¹⁵²+8 = 9(0)₁₅₁8_<153> = 2³ × 81151015073_<11> × 117661313481936713_<18> × 11782158849540041148093271071789755241571195001493002121062791057214517947471530556933126488624988369441347657992522216047449_<125>

9×10¹⁵³+8 = 9(0)₁₅₂8_<154> = 2³ × 6127067 × 2309728058959297650754813899883_<31> × 149209414964737828020446898825661_<33> × 532773745614505626844942542117457087109105613232256090485203451817841040402827863981_<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2527712598 for P31, cado-nfs-3.0.0 for P33 x P84 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁵⁴+8 = 9(0)₁₅₃8_<155> = 2³ × 2991907 × 69589836960120637278801209_<26> × 6246171744161689439524292654941452360371720258285607447793_<58> × 8650569351446268640008489948853154381876206578382034756514449939_<64> (Bob Backstrom / Msieve 1.44 snfs for P58 x P64 / March 2, 2023 2023 年 3 月 2 日)

9×10¹⁵⁵+8 = 9(0)₁₅₄8_<156> = 2³ × 967 × 1291163 × 38267785781_<11> × 24701957456581_<14> × 95319174497126927386614641226482405831601993580940260941413994483766238285631388734809755510150328937373307613887891963821_<122>

9×10¹⁵⁶+8 = 9(0)₁₅₅8_<157> = 2³ × 59 × 58077489642853864131619508322616402619594169174265470263906973116579_<68> × 328316473859776851692027054784441902202337629195768993473121550973547929577719762371441_<87> (Bob Backstrom / Msieve 1.44 snfs for P68 x P87 / February 28, 2023 2023 年 2 月 28 日)

9×10¹⁵⁷+8 = 9(0)₁₅₆8_<158> = 2³ × 7 × 43 × 281 × 321961 × 10180327 × 71803312832706004909069_<23> × 8034400246674111715019271263_<28> × 70342332676244055564010490577290039034244268007645253354015100311144935650431711648805569_<89>

9×10¹⁵⁸+8 = 9(0)₁₅₇8_<159> = 2³ × 19 × 2266161059_<10> × 149435047995251_<15> × 17484599207550293520767741425730106124408532745309358727791040729458149421698225178678543570376077297679840488692969608125174019308531_<134>

9×10¹⁵⁹+8 = 9(0)₁₅₈8_<160> = 2³ × 646407241 × 213263911706220668188416283208242501327726447110790166963_<57> × 8160728676538214840235326250090941922011611801903125922258496237176218627024984226027607075747_<94> (Bob Backstrom / Msieve 1.44 snfs for P57 x P94 / March 3, 2023 2023 年 3 月 3 日)

9×10¹⁶⁰+8 = 9(0)₁₅₉8_<161> = 2³ × 17 × 2674608559001_<13> × 113271931320574019175771030396770416413798342963531871163_<57> × 2184344158853196972328432000951346329475294185355292222425799490279036413771938188512291131_<91> (Bob Backstrom / Msieve 1.44 snfs for P57 x P91 / March 4, 2023 2023 年 3 月 4 日)

9×10¹⁶¹+8 = 9(0)₁₆₀8_<162> = 2³ × 29 × 103 × 26242189 × 2031720175717789_<16> × 706404321639246169576111919153590453783556344715427996979635734826390578160742097571504194965224604807363548061905826096634639538326363_<135>

9×10¹⁶²+8 = 9(0)₁₆₁8_<163> = 2³ × 839844604387_<12> × 1807416027449_<13> × 165564595670657_<15> × 4476390692451801351307211840800265395565843074160452343280689088562728501978648218856704906162013920417872351530204976827811_<124>

9×10¹⁶³+8 = 9(0)₁₆₂8_<164> = 2³ × 7 × 7583 × 8849 × 63545678741455796993123378792535222481311850975497800415811134573582530750627_<77> × 376906136635080354631361512091147073394896702589956658158564714779373573894227_<78> (Bob Backstrom / Msieve 1.44 snfs for P77 x P78 / March 17, 2023 2023 年 3 月 17 日)

9×10¹⁶⁴+8 = 9(0)₁₆₃8_<165> = 2³ × 112500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<165>

9×10¹⁶⁵+8 = 9(0)₁₆₄8_<166> = 2³ × 4656391521896362080322309561706407_<34> × 286486126386342660780060240431492118900829299161621_<51> × 843333665115258060842970579976277899240803273571358188320869194796748229773609083_<81> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3364348983 for P34 / February 7, 2023 2023 年 2 月 7 日) (Bob Backstrom / Msieve 1.44 snfs for P51 x P81 / March 10, 2023 2023 年 3 月 10 日)

9×10¹⁶⁶+8 = 9(0)₁₆₅8_<167> = 2³ × 113 × 348419 × 2209699 × 17131289912807382415430777081_<29> × 7548298482790326448474617955778551238092240518236102251754645585309317825211384688377284614505761052636791967870671501692657_<124>

9×10¹⁶⁷+8 = 9(0)₁₆₆8_<168> = 2³ × 17266138662486967596585370141483_<32> × 1603918416917025925815110607924000683021525327938646341_<55> × 4062328352324588436628415465766560192372262607650681428682520811174423730499107367_<82> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1911355347 for P32 / February 7, 2023 2023 年 2 月 7 日) (Bob Backstrom / Msieve 1.44 snfs for P55 x P82 / March 10, 2023 2023 年 3 月 10 日)

9×10¹⁶⁸+8 = 9(0)₁₆₇8_<169> = 2³ × 761 × 12744440406541500489479287497679177_<35> × 2062664535706682789476572049728892187931207192179396047561_<58> × 56236527138806815033645536748914964174537565798275900035894280064071935353_<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4141200229 for P35 / February 7, 2023 2023 年 2 月 7 日) (anonymous / GGNFS+Msieve 1.54, snfs for P58 x P74 / March 12, 2023 2023 年 3 月 12 日)

9×10¹⁶⁹+8 = 9(0)₁₆₈8_<170> = 2³ × 7² × 47 × 109 × 58279267 × 402257022547_<12> × 435999575417981_<15> × 99473924411910239291746814605469803_<35> × 44077712995107095471266479928473841058173582005124272188453268377277321416948685681293454796909_<95> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1983581504 for P35 x P95 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁷⁰+8 = 9(0)₁₆₉8_<171> = 2³ × 419 × 12281 × 27953 × 782125316270083296109181412478616609470544578434277144403373342259661111681297345129444304414230272525417836968636312640601656991644562761641961373977109139603_<159>

9×10¹⁷¹+8 = 9(0)₁₇₀8_<172> = 2³ × 23 × 353546288869_<12> × 9297229025761640553635918080387_<31> × 3303614411794355164986540202285862860241114441732167_<52> × 4504385192623408573972865709402929327733173649297768358352780476912803843887_<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2271831573 for P31 / February 7, 2023 2023 年 2 月 7 日) (Norman Powell / YAFU v1.35, r373. for P52 x P76 / March 30, 2023 2023 年 3 月 30 日)

9×10¹⁷²+8 = 9(0)₁₇₁8_<173> = 2³ × 135030291604731473_<18> × 51662356979068426871310073_<26> × 66206189127899043488803253480129429128133630029064045707_<56> × 24358386126792773048262628471603530285754688979834950729922369149755414667_<74> (Ignacio Santos / GNFS, Msieve for P56 x P74 / April 16, 2023 2023 年 4 月 16 日)

9×10¹⁷³+8 = 9(0)₁₇₂8_<174> = 2³ × 181 × 202168963676909_<15> × 510669351423776107_<18> × 757551173930724056974694296968738809499557235809_<48> × 7947081984301648617961409364899487537641638447280997340331920333648471004437858710439899763_<91> (Bob Backstrom / GMP-ECM 7.0.4 B1=34300000, sigma=1:910984806 for P48 x P91 / March 12, 2023 2023 年 3 月 12 日)

9×10¹⁷⁴+8 = 9(0)₁₇₃8_<175> = 2³ × 134153 × 745033 × 21486067 × 140595019 × 319481977 × 27583625093865478409_<20> × 75307183375356623417_<20> × 21881318684111237118023781588195105318563_<41> × 256591439357970855220621057645376447845154825732353273814371_<60> (Rytis Slatkevicius / yafu2 for P41 x P60 / February 20, 2023 2023 年 2 月 20 日)

9×10¹⁷⁵+8 = 9(0)₁₇₄8_<176> = 2³ × 7 × 89 × 947 × 92394815117483_<14> × 3718277332370989523878161848217914502581683_<43> × 2683267942017266782378069687047835651464885956387_<49> × 20685264329508459308790651394962126561721834417220323613610933847_<65> (Bob Backstrom / GMP-ECM 7.0.4 B1=34670000, sigma=1:4023554226, Msieve 1.44 gnfs for P43 x P49 x P65 / March 13, 2023 2023 年 3 月 13 日)

9×10¹⁷⁶+8 = 9(0)₁₇₅8_<177> = 2³ × 17 × 19 × 6091 × 17192796667_<11> × 5664656038576246801_<19> × 46246920043867535007996517915337596032331818727143289_<53> × 12695754459705895143506532782917942514624333396834498368998478783723886109172666316057339_<89> (Ignacio Santos / GNFS, Msieve for P53 x P89 / April 18, 2023 2023 年 4 月 18 日)

9×10¹⁷⁷+8 = 9(0)₁₇₆8_<178> = 2³ × 41387 × 361769 × 9823048349_<10> × 39418900009_<11> × 1327777300388046661_<19> × 17882873657007287542421_<23> × 8172292367890729422280732346594487000115041648073649032123129250861135080996291676341389523893047585429527_<106>

9×10¹⁷⁸+8 = 9(0)₁₇₇8_<179> = 2³ × 43 × 83 × 238307 × 414310968888923_<15> × 20635124920068851_<17> × 11943120945474106429444045044028245193_<38> × 409114067919584342031985497767498396996804729921_<48> × 316645556137350682861828396605871963666889904618455363_<54> (Ignacio Santos / GNFS, Msieve for P38 x P48 x P54 / April 20, 2023 2023 年 4 月 20 日)

9×10¹⁷⁹+8 = 9(0)₁₇₈8_<180> = 2³ × 866570713424389_<15> × 1310148512172863219259244152923_<31> × 148600238638294391739679232724103431643867286364830648452534967_<63> × 666819789416339553133171238696091628651232375530916632644743224971066049_<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:506947804 for P31 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GNFS, Msieve for P63 x P72 / April 29, 2023 2023 年 4 月 29 日)

9×10¹⁸⁰+8 = 9(0)₁₇₉8_<181> = 2³ × 5864419601_<10> × 11652034283_<11> × 7222976021802360616048231181353_<31> × 2279342345710042083742561009060823370650902007333385382564842185290556897598607487787238681355659329444484320266807065919820964699_<130> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2929389739 for P31 x P130 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁸¹+8 = 9(0)₁₈₀8_<182> = 2³ × 7 × 863 × 1103 × 9041 × 5734708843_<10> × 1728512767503984262713290589846571698260481934583_<49> × 35615943033245651524653085311723966189850032631423928641_<56> × 528960560437580521555224877775905851853627549455531933283_<57> (Bob Backstrom / GMP-ECM 7.0.4 B1=34600000, sigma=1:3873213758, Msieve 1.44 gnfs for P49 x P56 x P57 / March 19, 2023 2023 年 3 月 19 日)

9×10¹⁸²+8 = 9(0)₁₈₁8_<183> = 2³ × 12606593062470959124984337_<26> × 17359208125212948794564819_<26> × 54776654557265211832710772966297_<32> × 9384894042216372342059438778002742391673287868753838561644894313156934329960956774366229860959594211_<100> (Eric Jeancolas / ECM for P32 x P100 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁸³+8 = 9(0)₁₈₂8_<184> = 2³ × 67 × 226409 × 502291884981627607_<18> × 769852317627896239039830614874642601_<36> × 14127268102992266004709654634280711829567_<41> × 13575700953861470042757251998169696173735216752841799194683919286745877942781157443_<83> (Bob Backstrom / GMP-ECM 7.0.4 B1=30240000, sigma=1:1329011935, Msieve 1.44 gnfs for P36 x P41 x P83 / March 18, 2023 2023 年 3 月 18 日)

9×10¹⁸⁴+8 = 9(0)₁₈₃8_<185> = 2³ × 11250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<185>

9×10¹⁸⁵+8 = 9(0)₁₈₄8_<186> = 2³ × 163 × 281 × 67307 × 483154272388387_<15> × 12210966156951838875654761803653547267_<38> × 3727563396068397187224971550027341057401_<40> × 1659347992542127886767927635495570838344704252726092424565783105743451941844700614889_<85> (Bob Backstrom / GMP-ECM 7.0.4 B1=30040000, sigma=1:516482007 for P38 x P40 x P85 / March 22, 2023 2023 年 3 月 22 日)

9×10¹⁸⁶+8 = 9(0)₁₈₅8_<187> = 2³ × 7019 × 5070747636193305490645900499_<28> × 3134817370972725771606210015623580779_<37> × 10083075950208682954408273627019980559494644891955871510916037495399751056935484682369215449388725639129631284839397299_<119> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3819056649 for P37 x P119 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁸⁷+8 = 9(0)₁₈₆8_<188> = 2³ × 7 × 23663 × 51347 × 1322725128439129027961811578596267109526107448124730710873669568542690071762408380110965673178667082497271749795531709345184023361610496652425669829712826685213390895262984543363_<178>

9×10¹⁸⁸+8 = 9(0)₁₈₇8_<189> = 2³ × 3656621650393_<13> × 6153059484139411_<16> × 5000130997685287847389437499160074450300017323943786212747832247412835136479520756845949734026203522089104952492494006954805495698508750578361649877575751069587_<160>

9×10¹⁸⁹+8 = 9(0)₁₈₈8_<190> = 2³ × 29 × 3607 × 419603 × 25631250650818891212843805101564975680315595900562823461995997598008605876221950443441880578872912271185753773578038613080351548534605718963770150402448880461327700603189464764289_<179>

9×10¹⁹⁰+8 = 9(0)₁₈₉8_<191> = 2³ × 13691 × 72844240307_<11> × 219623205371_<12> × 1541130584803_<13> × 59081228031472931_<17> × 3231172073522371849401561624668198349009791051254880173498533259_<64> × 174580152315239684253999073947403071511957797888689705743244825263656049_<72> (Eric Jeancolas / cado-nfs-3.0.0 for P64 x P72 / June 22, 2023 2023 年 6 月 22 日)

9×10¹⁹¹+8 = 9(0)₁₉₀8_<192> = 2³ × 12487 × 474175463 × 159876535607_<12> × 1055715134816970177552864793628273141_<37> × 882846819997137253027741547561068622046337028497386584587501_<60> × 127508313104149669575211567389743112740382304452216321337753138869182183_<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:925228193 for P37 / February 7, 2023 2023 年 2 月 7 日) (Florian Baur / CADO-NFS for P60 x P72 / February 24, 2023 2023 年 2 月 24 日)

9×10¹⁹²+8 = 9(0)₁₉₁8_<193> = 2³ × 17 × 131 × 505163897620116748989672204759766502020655590480466995958688819039066008082622361921867983834755276156264032330489447687471935339021104625056129321957790749887741356084418500224517287831163_<189>

9×10¹⁹³+8 = 9(0)₁₉₂8_<194> = 2³ × 7 × 23 × 14783 × 368967495089_<12> × 441322993607060524386674452765142410386071003_<45> × 1890274099536510475912954082110394851762189969603793983243_<58> × 15356584101851699666067840307190367361303581960083547863543985583484378167_<74> (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:1425382364 for P45 / February 22, 2023 2023 年 2 月 22 日) (Florian Baur / CADO-NFS for P58 x P74 / February 24, 2023 2023 年 2 月 24 日)

9×10¹⁹⁴+8 = 9(0)₁₉₃8_<195> = 2³ × 19 × 257 × 43291 × 223361 × 450419522659_<12> × 25642380306676759003916899_<26> × 4097444317274785278497142843732857_<34> × 50346841640008844264132579352787089621655330398217309392940898785726055691212264775082564326461784424433812481_<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:449504071 for P34 x P110 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁹⁵+8 = 9(0)₁₉₄8_<196> = 2³ × 103 × 149 × 467 × 7823 × 15923 × 7518601 × 167601107956159434026097205557212150962598963687167480853704890450513822978350612490581992182430203130334303761976969413892271031735522540390004512772903978726600405824078981_<174>

9×10¹⁹⁶+8 = 9(0)₁₉₅8_<197> = 2³ × 3827211029564496656994831001_<28> × 783142813212995483326191042702613279849751000963829972351061544243_<66> × 3753437131915817982214603666029272214917233862460633238803445040881640449342779603872446721891430045107_<103> (ebina / Msieve 1.53 snfs for P66 x P103 / March 21, 2023 2023 年 3 月 21 日)

9×10¹⁹⁷+8 = 9(0)₁₉₆8_<198> = 2³ × 107 × 2741 × 7901 × 2911188326411931814645897233376523466459893516185122059238771739278593906328435209_<82> × 16676593637241968811040182098770928200096803462692937035988403455402754081106087176060005500045963097698347_<107> (Bob Backstrom / Msieve 1.44 snfs for P82 x P107 / April 26, 2023 2023 年 4 月 26 日)

9×10¹⁹⁸+8 = 9(0)₁₉₇8_<199> = 2³ × 1249 × 74507 × 543794947 × 2378367143686478933059927214706507658470435836291298054751331_<61> × 9347144200010891509083557551981883039790271558677663069026809128313575030872305672763895014735884956557876703647240421451_<121> (Bob Backstrom / Msieve 1.44 snfs for P61 x P121 / April 29, 2023 2023 年 4 月 29 日)

9×10¹⁹⁹+8 = 9(0)₁₉₈8_<200> = 2³ × 7 × 43 × 18329 × 767707 × 45433709 × 522812989 × 16433731063_<11> × 1404877657021938723474954939749_<31> × 47279544487364189208247625843317981_<35> × 3010231082745320823406611605908457592089_<40> × 34031366921177760294743815848961479797596903256632114849_<56> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2467870123 for P31 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2896386215 for P35 / February 25, 2023 2023 年 2 月 25 日) (Dmitry Domanov / Msieve 1.54 gnfs for P40 x P56 / February 28, 2023 2023 年 2 月 28 日)

9×10²⁰⁰+8 = 9(0)₁₉₉8_<201> = 2³ × 547 × 809 × 3929 × 64704523855665598306021071645330967254347795605186723144509737149996026250750711231982433645466211787383923096557990974848519333338167288487397784876112637927304814839558889832264231221824203_<191>

9×10²⁰¹+8 = 9(0)₂₀₀8_<202> = 2³ × 567107 × 1559540929_<10> × 12658224506701_<14> × 3781421094759354216149261_<25> × 7557551320359627513236230409_<28> × 33645527025904165589877105975803_<32> × 104509184848752238038802406483853515750805893801220306316966977366532901501185238172401761_<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3818498750 for P32 x P90 / February 7, 2023 2023 年 2 月 7 日)

9×10²⁰²+8 = 9(0)₂₀₁8_<203> = 2³ × 2442648696263593_<16> × 1125853877981713029176803_<25> × 15927688484578518471864765817_<29> × 437977852557602289235360502341087187_<36> × 586414338139997825540692205399703615897124942273763051575518535361391417538666008482122585560729161_<99> (Rytis Slatkevicius / yafu2 for P36 x P99 / February 21, 2023 2023 年 2 月 21 日)

9×10²⁰³+8 = 9(0)₂₀₂8_<204> = 2³ × 229 × 283 × 4201 × 2187463 × 315717017467_<12> × 567306938271529_<15> × 39107169213794468456345016934766758124581328324896929572963_<59> × 26968993594229582423275672308812072609903166757359457878587573689612646879979804638851436206513809410129_<104> (Bob Backstrom / Msieve 1.44 snfs for P59 x P104 / September 25, 2023 2023 年 9 月 25 日)

9×10²⁰⁴+8 = 9(0)₂₀₃8_<205> = 2³ × 179 × 225859 × 423763 × 79750093309997985889769_<23> × 38542738890907845504220004168483_<32> × 21363149675606169767848342500643747710595693396015365183892595106491373806667044430734638479494943188341120910126842435597646181315624041_<137> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1092936702 for P32 x P137 / February 7, 2023 2023 年 2 月 7 日)

9×10²⁰⁵+8 = 9(0)₂₀₄8_<206> = 2³ × 7 × 1069 × 8221 × 322797703 × 38116625747_<11> × 436202624463984583831839567577706143871354503040201593991984764040227_<69> × 34073674561835965185844365682010229675457025671319777281759811073009265324044196728319545528259859385613520801_<110> (Bob Backstrom / Msieve 1.44 snfs for P69 x P110 / December 14, 2023 2023 年 12 月 14 日)

9×10²⁰⁶+8 = 9(0)₂₀₅8_<207> = 2³ × 97 × 495347 × 36918587 × 234470193254851_<15> × 2172698104624108375809688922703504896202226527524627_<52> × 396833502785559690260010183292381282118354826675116616670571_<60> × 313711777150280934390955320192829334770634569356416370455783220091_<66> (Bob Backstrom / Msieve 1.44 snfs for P52 x P60 x P66 / March 21, 2024 2024 年 3 月 21 日)

9×10²⁰⁷+8 = 9(0)₂₀₆8_<208> = 2³ × 61 × 18663770815181_<14> × 28506475121063_<14> × 34664087740895616301923887148554895993747185754271658889487229745379597196125808603296123614926051123121824801210347111646168073928303974512724602652044706601876519749752292123247_<179>

9×10²⁰⁸+8 = 9(0)₂₀₇8_<209> = 2³ × 17 × 683 × 15313 × 107099 × 404028127415319498697_<21> × [1462263361518162602326900119961029287391168120362693636813973982731237833377156493005982080735718848849424228617335506925497941014173429946543714826453967196625166649980972369_<175>] Free to factor

9×10²⁰⁹+8 = 9(0)₂₀₈8_<210> = 2³ × 2027 × 19441 × 20582389 × 1436628289625807_<16> × 924157289929138785749913763_<27> × [104470598732022532079284753407310241420530318003704629252472557508932399217336251287740368696545331229072573767596652452457659108157883925631044149860707_<153>] Free to factor

9×10²¹⁰+8 = 9(0)₂₀₉8_<211> = 2³ × 1427 × 689041228276368082202675542517439474844073_<42> × [1144150990640156489140812584755533336595237618348019259938140260585636260144766652483764696411804384514439764378240227198803802466609019390802868224109212978580013731_<166>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P42 / December 18, 2023 2023 年 12 月 18 日) Free to factor

9×10²¹¹+8 = 9(0)₂₁₀8_<212> = 2³ × 7² × 13463 × 8291743 × 3536934161023_<13> × 5967719907864146284394935341647947_<34> × 97439120804329228610971907735186096445512309295498736760527767302409893119857317961701216651530986292086387983269207913385722658774210979172385041270981_<152> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4209788251 for P34 x P152 / February 7, 2023 2023 年 2 月 7 日)

9×10²¹²+8 = 9(0)₂₁₁8_<213> = 2³ × 19 × [5921052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579_<211>] Free to factor

9×10²¹³+8 = 9(0)₂₁₂8_<214> = 2³ × 281 × 4068381032927_<13> × 18112021459201_<14> × 295612813057229_<15> × [183795300798560579540936066513892338074495275332473030180141494819061322152364508882927500443789921786192179259259768049893574790942123516765860827032120020577004570239187_<171>] Free to factor

9×10²¹⁴+8 = 9(0)₂₁₃8_<215> = 2³ × 59 × 4215979 × 9029564332153_<13> × 30251402629363_<14> × 200076365556543016947283_<24> × 991482402414478760370233638841_<30> × 111404577957753423770384919730803244552039342989918452175587_<60> × 7492140647104884572060013446498547331773336530713067953045643950379_<67> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3585802577 for P30 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GNFS, Msieve for P60 x P67 / March 1, 2023 2023 年 3 月 1 日)

9×10²¹⁵+8 = 9(0)₂₁₄8_<216> = 2³ × 23 × 47 × 2419987 × [43004489393081643479918281699533154769238756627337284872005682791362553427712066283005280950915208297880830467393429056298701143587270293005950876762284363415478122382112459318503223570844581111344086711283_<206>] Free to factor

9×10²¹⁶+8 = 9(0)₂₁₅8_<217> = 2³ × 67 × 118679867 × 2804154523_<10> × 1433389483868737_<16> × [35199339411112534545882482899485597010503418653283674822173061673305616188771210085859764945593829532787936560301307025175114377878923583326556227672419131819580253891384905778832259_<182>] Free to factor

9×10²¹⁷+8 = 9(0)₂₁₆8_<218> = 2³ × 7 × 29 × 142543 × 246689 × 323238809 × 335523341 × 9611553324764647_<16> × [1511892768904098259227329065274683437038198682929524113184870425915603229170584657538599715951298919389992424321232027558498388124692962628006974962250757763357259271502447_<172>] Free to factor

9×10²¹⁸+8 = 9(0)₂₁₇8_<219> = 2³ × 9643 × 1439753699_<10> × 2469619628231360009_<19> × [3281119776489468830517057645163863477378003518219787464431376735798853734309399584642802407210968854794237447339375924363546542128715162368337520941236521898462968514141747162411639905177_<187>] Free to factor

9×10²¹⁹+8 = 9(0)₂₁₈8_<220> = 2³ × 83 × 89 × 167 × 367 × [2484859787965301895013931813675989298828736711221100895681957101544069121969802115242085101464765650123485493696680472275234343647799304470296110889843243404387519799003866315930511419506678997196201279765519707_<211>] Free to factor

9×10²²⁰+8 = 9(0)₂₁₉8_<221> = 2³ × 43 × 87154881859_<11> × 14092387152346401697_<20> × 49357089317129787547_<20> × 4315769504476060741534586263777868541705190944753603110443036870328961324110655721474651633833752177895018462006800515709265214558840190074537908900133096645419915983347_<169>

9×10²²¹+8 = 9(0)₂₂₀8_<222> = 2³ × 8069683 × 9252721 × 1506699280051413792734863443604375670726890626400090721078453462050823433448490062687012239058484163207250441221294020828436857253247615753209520361708669492115349558986615589611906591372121205053735661355307_<208>

9×10²²²+8 = 9(0)₂₂₁8_<223> = 2³ × 1869379 × 14559598586713733626693971137059417_<35> × [41333840692969054867307505836496863169249232778474782804158026892386242276482650872980201662542704188175200925880038810303430884821389782377759708134946215339428542990601781729719907_<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3473665198 for P35 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²²³+8 = 9(0)₂₂₂8_<224> = 2³ × 7 × 3270383209_<10> × 190894213206579792079967147947_<30> × 2574323224628030337725121901807129208604163800201204026943226316643124697926063654410879544149006944072215305364426341690897049289465426457897630954833459125079878564553530576523842141_<184> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2532997466 for P30 x P184 / February 7, 2023 2023 年 2 月 7 日)

9×10²²⁴+8 = 9(0)₂₂₃8_<225> = 2³ × 17 × 1774139 × 4519759529_<10> × 15001120444987_<14> × 235130646170698545749219_<24> × 233974050612282063373079227190462045462961574360578485076106353010615075752154137614127237371768216746869200569928672229418363743705123032996361277733767200951486118783771_<171>

9×10²²⁵+8 = 9(0)₂₂₄8_<226> = 2³ × 163101765529_<12> × 1682606506866760631145320112647561_<34> × 4099315042577232458814454695236380562878708688944730269163802930883286929732145768092253628722906033748788151052184996278310926926246230391913196716581162682076424975488819244279329_<181> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3429416486 for P34 x P181 / February 7, 2023 2023 年 2 月 7 日)

9×10²²⁶+8 = 9(0)₂₂₅8_<227> = 2³ × 1102963 × 912976260649_<12> × [11172030007376859638776836191520081518602302802913391564374859675514818162740105389325012569521650848145466197767347895468276245143085094444208875971087058192533965900601861945456131727954678251999445050489923_<209>] Free to factor

9×10²²⁷+8 = 9(0)₂₂₆8_<228> = 2³ × 10729 × 636541 × 1490869 × 772462102523396434245869_<24> × 6104313752488931445262318539766603_<34> × 147164841086344859348143555992454763333256643_<45> × 15922428794255041234948818041191079124502686497708444666643755768075189279541208009720433967545376513845452061_<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2040889985 for P34 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2620413657 for P45 x P110 / March 4, 2023 2023 年 3 月 4 日)

9×10²²⁸+8 = 9(0)₂₂₇8_<229> = 2³ × 227 × 487099 × 3164397046888989723883_<22> × [3215277465413129393043040186672268810805498886774355255333477898025867209151979540310879579857434205392261649111622806748398987458626141506595099762501640872263299972095239413347596691422748444838739_<199>] Free to factor

9×10²²⁹+8 = 9(0)₂₂₈8_<230> = 2³ × 7 × 103 × 1063 × 4481 × 63527111198809_<14> × 271478576741226129529_<21> × 161321027187675106842752041_<27> × [1177398288219369151746072377598056611267755235012652298313370217964452621050414899615766032028149944108447750633157929060648353874986225502656406543037380925727_<160>] Free to factor

9×10²³⁰+8 = 9(0)₂₂₉8_<231> = 2³ × 19² × 45523 × 7376051 × 961705720147771_<15> × 965046712895168204460066385916747205858593773774700978303494051968151845016330363493533326274627502868007448838930272242124574087917859015133518910427359632215191195318404943383574422141457436363529827_<201>

9×10²³¹+8 = 9(0)₂₃₀8_<232> = 2³ × 1609 × 146203 × 3992587 × [1197804128957375686150857303076435881278693077368078327763536812874829094894416737109008094653399378546396129619190229829211930154213321775064665899883235117633713873918124096904182407640665601472825055017973049690449_<217>] Free to factor

9×10²³²+8 = 9(0)₂₃₁8_<233> = 2³ × 187921 × 115981663224021604729_<21> × 59670806791639974429625369_<26> × 76684219060771285602194439693803284007669548723_<47> × 112802822423264675291877639231094815383400430270798250988644181762641358195987640829865125425198301020655094245608825277661112664643547_<135> (Lionel Debroux / GMP-ECM 7.0.5 for P47 x P135 / March 4, 2023 2023 年 3 月 4 日)

9×10²³³+8 = 9(0)₂₃₂8_<234> = 2³ × 104681 × 20146387036820187414104834152135369_<35> × 53344234425332697445826948402096103421890347820863997598886372967217656835441347461524989481584180464632678309127628634500191035854845997049107731531540474863650080220329748374461685384419694609_<194> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1008997047 for P35 x P194 / February 7, 2023 2023 年 2 月 7 日)

9×10²³⁴+8 = 9(0)₂₃₃8_<235> = 2³ × 307 × 1867 × 5052815081145286983481196502167866171_<37> × [388451161580741445251987476182550018836621779979411265613466675483650881782927183332773020739179653954562782080164958409953783612985152159314027554586392689326874815909250888914347373152824099_<192>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P37 / December 18, 2023 2023 年 12 月 18 日) Free to factor

9×10²³⁵+8 = 9(0)₂₃₄8_<236> = 2³ × 7 × 2592808902141527547187_<22> × 3668711216784397291029578981_<28> × 5919815749305244816028113152721_<31> × 126485823261547989945733710720904469_<36> × 4811632142920520113723324249354367027434727_<43> × 46895156200060538179494065549434493286037600817650069994668095121633836296003_<77> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:235307553 for P31, B1=1000000, sigma=1:1061488929 for P36 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GNFS, Msieve for P43 x P77 / February 26, 2023 2023 年 2 月 26 日)

9×10²³⁶+8 = 9(0)₂₃₅8_<237> = 2³ × 2081 × 132817 × 12882367688339_<14> × 31595925796840705142785109619376125644725253104316624256629003551909719055596943920517366496587239868619806993132293552597234017366245843896182981132968839165170588667534583571189582677501376979440646163842102030667_<215>

9×10²³⁷+8 = 9(0)₂₃₆8_<238> = 2³ × 23 × 8059741 × 6068810831298532988245824686469183822030574151096224405053300801126725169391703885964228551674842631554408078589514282752089514495834780924533215257111266651286232129058111981729826111630957954561092461041053088538399089671901907_<229>

9×10²³⁸+8 = 9(0)₂₃₇8_<239> = 2³ × 280172723 × [40153801838874942868724590294966009235667099541306881612454471522554320892972868026128296579392562779924867989379537136454215066468122951426645483971685566264064899708313146529971085015296082195696117069897628828056898315543729787_<230>] Free to factor

9×10²³⁹+8 = 9(0)₂₃₈8_<240> = 2³ × 383 × 27509 × 3613990497837823_<16> × 1827330269485762870201_<22> × 111288745870733528187521_<24> × 110197361363934527552394661_<27> × 131841594441380443492297456063169407592296026227424279961934528433823340288025782740350983027927156472128231144613520509677594020828755204991198241_<147>

9×10²⁴⁰+8 = 9(0)₂₃₉8_<241> = 2³ × 17 × 8458393 × 25763681 × 3747809047925612855128240277505451_<34> × 81027114402304039159319182285983543022760144133303363156433146262342829684902250683189550995371772217504070131553307224373017816904910933198452737071962023807748979082348592163476996111246891_<191> (Dmitry Domanov / for P34 x P191 / April 14, 2023 2023 年 4 月 14 日)

9×10²⁴¹+8 = 9(0)₂₄₀8_<242> = 2³ × 7 × 43 × 281 × 3699979314085442496623_<22> × [35948469983238432310220840948483797552589798738674537424739624129804418019190014976899377711345755688781748148356330646704231505108403625885421343705973198163574185988303963638699242825714261915371237193796058797027_<215>] Free to factor

9×10²⁴²+8 = 9(0)₂₄₁8_<243> = 2³ × 313 × 300961 × 3358383076624035342097456531_<28> × [355604895304384918463569163587053842647787766537432434362289881783487531786183245123101904127273969443083273095799673727146809872707979005183713018405055196354523189548818706375891905148196055591298517625747_<207>] Free to factor

9×10²⁴³+8 = 9(0)₂₄₂8_<244> = 2³ × 887 × 710569 × 934394219321_<12> × 12088480689631747747_<20> × [158023174476331302162386717362923883654150352923225498791665527067944841503095082082111637919593603417240228109565945628243103187410347756201556365544413816887731246220929251761467347517428377622690863341_<204>] Free to factor

9×10²⁴⁴+8 = 9(0)₂₄₃8_<245> = 2³ × 21669667 × 613830769 × 170715906395891_<15> × 52213547207698745579_<20> × [94884318758939707353892822599852210081243742619072614231336276272268028869431048816295232645460503474406917555327487753191367791366346101860974603371697028553674614139860760236576832967201583883_<194>] Free to factor

9×10²⁴⁵+8 = 9(0)₂₄₄8_<246> = 2³ × 29 × 5270981 × 404751195937010707_<18> × 421413393480753981484369_<24> × [4314858903449368398928440038530081856021917211688153121540512754924769618733596279124418723896693236274630829740697677133491944107712935461094296210662908339206070806994258959242177234272290527803_<196>] Free to factor

9×10²⁴⁶+8 = 9(0)₂₄₅8_<247> = 2³ × 1283 × 180981808683256898209_<21> × 4844968323298664632263195683950477067649036452688346401001633120548919255659583162020512185328622536431089652038361075474359776341991587752075199598022957737588765320756524498209633801642651889592612800259481724209410529483_<223>

9×10²⁴⁷+8 = 9(0)₂₄₆8_<248> = 2³ × 7 × 389 × 16613249 × 15936645340691190889_<20> × 5510237210305725733110856661_<28> × [2831933844251002924525176626284463288789344396534428983914642664377453280169062285003733460638703558644595971091803093293177404833571382740100577805757126112886556785704502855646269792944647_<190>] Free to factor

9×10²⁴⁸+8 = 9(0)₂₄₇8_<249> = 2³ × 19 × 827567976375928363_<18> × 7154762872179178033140272202721103226785208699254411591075126814256826118559327780529409172674666869828437537892493337745190708024807593072415463509150269398614660900100401708841036486657886463812125351829564458501087769453921233_<229>

9×10²⁴⁹+8 = 9(0)₂₄₈8_<250> = 2³ × 67 × 1901 × 104869 × 14048698194869067253604864487836381_<35> × [5995320343836153286769797545481681170503469858069679326864519814110612559858344046322112077627705962179831601031008586011245130222206139554180469447375367765371733841964932307184002182421867959423252594727_<205>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P35 / December 16, 2023 2023 年 12 月 16 日) Free to factor

9×10²⁵⁰+8 = 9(0)₂₄₉8_<251> = 2³ × 107 × 4289018458601_<13> × [24513810777625487707783793714275072554790600520031269270621328794298951013636212871361552684408128617139038251981831317020638036956323855627407810355938547640178067299697517273624445156952476021489443385287849509411788200330098415322443_<236>] Free to factor

9×10²⁵¹+8 = 9(0)₂₅₀8_<252> = 2³ × 4241 × 39696583 × 4256129492009_<13> × [157006015412525213113824451062509355299025749775356206971358835633775678286523633207640726448625768942602113311320706978247370531019485405008901980140047048219444247311962832724912759184040829958921697377509902825364706148140463_<228>] Free to factor

9×10²⁵²+8 = 9(0)₂₅₁8_<253> = 2³ × 30282953 × 7338130036370840155499_<22> × 5062544998447018932186117777956949066559610111158417675504337116188135677575079326505502279354707779862814982993554695638334661127305751899358837540243940652272786758237212195917047074993082227642702338403866521066330899883_<223>

9×10²⁵³+8 = 9(0)₂₅₂8_<254> = 2³ × 7² × 12143 × 321091489 × 49889382043_<11> × [1180303048235613369615526412644703014744094496374840873947858840573134222671097148323034233984304461114680454400010973967666163476298890922016752417131792024314266032317106191161017437591634318836192420822693385955047334290285709_<229>] Free to factor

9×10²⁵⁴+8 = 9(0)₂₅₃8_<255> = 2³ × 443 × 110983035817_<12> × 14240791667020190513_<20> × 3572321155046394541454249416763_<31> × 145824143441824041881305587185621531_<36> × [308445283205446258284954225576426015056246788009221333605396579680359989258040580360888511803551715048682998241661216727661475567413744190969271041024027139_<156>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3841235339 for P31, B1=1000000, sigma=1:1145675053 for P36 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²⁵⁵+8 = 9(0)₂₅₄8_<256> = 2³ × 643 × 10001891026901664394589_<23> × [174928040388143465963099590532008748258384292406108722767676147122648917941634055050959245697597731315370132699742021542944499636440605731465915026669659820452298262135495120958820972207889012755332788712339458980938346204677754663_<231>] Free to factor

9×10²⁵⁶+8 = 9(0)₂₅₅8_<257> = 2³ × 17 × 30593 × 21631245902080637439168129579815451823850515592763434926482605594128606890080583601400551068006714338728005829861117787421574716246123200039993770201180200776417519578681013149874731051509284130741173009588890961215656791922796641292414066270446334321_<251>

9×10²⁵⁷+8 = 9(0)₂₅₆8_<258> = 2³ × 231082818511514256281091896809_<30> × 51443513881657385808029254854809_<32> × [9463553480980090276295257951407184052795502320261468842435425361216017608688279307527218214254063173240855405486901854044838667291920258918225091533531484060836526610317833259668783650757406633921_<196>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3358693526 for P30, B1=1000000, sigma=1:2437506934 for P32 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²⁵⁸+8 = 9(0)₂₅₇8_<259> = 2³ × 4643 × 55467947 × 102181584056609_<15> × 42750294994106285838204946353651178348497013457795073123547573257939045387107082928512958438655847373358094932032151775254581953767545131786987255416697421362802253041176882115394684505911010439151013819909049283182429273796301179009_<233>

9×10²⁵⁹+8 = 9(0)₂₅₈8_<260> = 2³ × 7 × 23 × 1669 × 2687 × 2729 × 2037821 × 63026903 × 10690034979856409461_<20> × 208702595609714399657664529129_<30> × [19925082587240981621916788438888458884760039391874836979812791956368212386681129631890440864562499880303077937988517886905514723361415061911826098145931974165713418441031486302997546869_<185>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1064772623 for P30 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²⁶⁰+8 = 9(0)₂₅₉8_<261> = 2³ × 83 × 28729 × 1197533285392721_<16> × [39397288006599930658884016842474423672285098125031969518998008595048163450781159565734750594246318253935611671430696694322664961087867922193758594144132271442072365685359696030124580616606972897938959538745718296051388148958842119088114883_<239>] Free to factor

9×10²⁶¹+8 = 9(0)₂₆₀8_<262> = 2³ × 47 × 983 × 22695287 × 596261807058663550807_<21> × [1799403146717259013872195502591829802599313551962816998124211439198158435631287605860495165745010359795414256868944757760202775418112305883435520931322047980061981925455636259804580868617364752588084768923218452133544737049078489_<229>] Free to factor

9×10²⁶²+8 = 9(0)₂₆₁8_<263> = 2³ × 43 × [261627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627907_<261>] Free to factor

9×10²⁶³+8 = 9(0)₂₆₂8_<264> = 2³ × 89 × 103 × 27734149343_<11> × 106206307223_<12> × 4166392037233263708440558140012812954155304506954421914943825170496179049553876567029345841992461526498097004382355557467744330086248898527836499773796107229522829974380932147736034193728366053673149859233589718807914226322424775320436727_<238>

9×10²⁶⁴+8 = 9(0)₂₆₃8_<265> = 2³ × 2817779 × 38117061971_<11> × 296875907102011895721129277554043991699_<39> × 35281839672676726084662255882054293661123702033365963100039750205064254097149632622782527007394756780991274292105258571703263128216762353924343384882012708477341729581818938704790414077645122392882534614470211_<209> (Eric Jeancolas / factordb for P39 x P209 / February 7, 2023 2023 年 2 月 7 日)

9×10²⁶⁵+8 = 9(0)₂₆₄8_<266> = 2³ × 7 × 509 × 229529 × 14340956587_<11> × [959226160192969818707022986448718524794770542216558722306196523028543497455535233844870466751488599777145023866225096453378017007308038987196975321744386930560718087192035400364093888907513948807113142979744408640857316030688672963051072063168049_<246>] Free to factor

9×10²⁶⁶+8 = 9(0)₂₆₅8_<267> = 2³ × 19 × 163 × 36325476267355505327736519212140781401356151113981272198902163383919922505650629641588634162092347432999677106877623506619309008718114304165321278656764610913787536325476267355505327736519212140781401356151113981272198902163383919922505650629641588634162092347433_<263>

9×10²⁶⁷+8 = 9(0)₂₆₆8_<268> = 2³ × 61 × 661 × 14543 × 264373863012231344369_<21> × [7256859367654030490740704016593583997453846922782504726557283143717965888222437707619602586392720051359511703771871934071908844391244355001543586782785260979658174452968308879621450912681782141357678345232297737842288800067780805113142943_<238>] Free to factor

9×10²⁶⁸+8 = 9(0)₂₆₇8_<269> = 2³ × 876233 × 36378951631278294339809801_<26> × 64272113491648192255055905943427666362153_<41> × 1655834968019287230188928509866952492778699120569_<49> × 3316218263361028210227200486533805660850984466626522704860110501710301705708023507548635920524936199896482639615429362319426579647498640956972170321_<148> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1778226924 for P41 / February 7, 2023 2023 年 2 月 7 日) (Seth Troisi / GMP-ECM 7.0.6, ecm-db 0.1 B1=4000000000 for P49 x P148 / January 2, 2024 2024 年 1 月 2 日)

9×10²⁶⁹+8 = 9(0)₂₆₈8_<270> = 2³ × 281 × 4567 × 28269468223_<11> × 646123014847_<12> × 929563436193897400358303_<24> × [5163014067519240824557182603443389154170575224306960281523069946665271893409696167838411930040955884075272730396222060361578653494870520934426105169204390581599300537262748226170834170407613571155149125005155557262241_<217>] Free to factor

9×10²⁷⁰+8 = 9(0)₂₆₉8_<271> = 2³ × 10000160048154576427_<20> × 13210778627592044229667_<23> × 45813189264490852260069553_<26> × 1424513798465768076808813735440230491_<37> × 16975070499835009596541539667868840587_<38> × 7686849594436413151655755298064554277032134928897883888479998588455182720327233197779758014662674144097263893310781035038722630089_<130> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3338802297 for P37 / February 7, 2023 2023 年 2 月 7 日) (Florian Baur / GMP-ECM 7.0.6-dev B1=3000000, sigma=4041150872 for P38 x P130 / February 24, 2023 2023 年 2 月 24 日)

9×10²⁷¹+8 = 9(0)₂₇₀8_<272> = 2³ × 7 × [1607142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143_<271>] Free to factor

9×10²⁷²+8 = 9(0)₂₇₁8_<273> = 2³ × 17 × 59 × 1123 × 34171 × 1593217 × 2583457 × [710130188717844314184520138055244477851350150757462545610107078478255803896029378089192396987901443946087333399820118491342946476966800372129557037858742364015472490924019337488894125027754003204346997515187497021938149385220619124138739468259925171_<249>] Free to factor

9×10²⁷³+8 = 9(0)₂₇₂8_<274> = 2³ × 29 × 8432921647_<10> × [4600197306715929702621309940575961614271071882863961788703422425440538261968942870270900917745509780149029945948622580667602352051937255681718529672291968660418606065629651770847086095553872933694693832644455920462662464451110526372294036164509101500538795780827_<262>] Free to factor

9×10²⁷⁴+8 = 9(0)₂₇₃8_<275> = 2³ × 401 × 3751481552851087844137_<22> × [7478342208979105205377734396544609849716008476486048772823406768600378381509021953413975878997750684994598237850125933999962074132118251459488561089059762886244907805746130100962004893790999052003085190787554725106522265484985604578781162694352644873_<250>] Free to factor

9×10²⁷⁵+8 = 9(0)₂₇₄8_<276> = 2³ × 60008458109_<11> × 8505494620393583_<16> × 250922216880626861_<18> × 1335475571269327183_<19> × 116915030340461909863_<21> × 5625939655054770434856446096443631291318683922885228677874357728186325860839026185674505592679462096094826260577924990127342549044160305076048509832872923826778750587819693674225106920884920207_<193>

9×10²⁷⁶+8 = 9(0)₂₇₅8_<277> = 2³ × [1125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<277>] Free to factor

9×10²⁷⁷+8 = 9(0)₂₇₆8_<278> = 2³ × 7 × 109 × 821 × 1041879149_<10> × 43196047691859702929_<20> × 1252471522599068855770667964314927_<34> × 51158383594247867211334995049829328290098005623_<47> × 2877922592051676104631178468826819563707703001269_<49> × 32140896097776985580837311107854631841313462300629616947_<56> × 67328928858269821168137637044630803442348366310381083946949_<59> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2389893469 for P34 / February 7, 2023 2023 年 2 月 7 日) (ivelive / GMP-ECM B1=110000000, sigma=1673149322 for P59 / March 11, 2023 2023 年 3 月 11 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1928721914 for P47 / March 12, 2023 2023 年 3 月 12 日) (Lionel Debroux / CADO-NFS for P49 x P56 / March 15, 2023 2023 年 3 月 15 日)

9×10²⁷⁸+8 = 9(0)₂₇₇8_<279> = 2³ × 113 × 4201 × 1309898729_<10> × 6337006473334332833_<19> × 49060119436638608377_<20> × [581930238488841266605373415476411109415919927415418879910129460527404376310443740885750202934628192609845399520792309753201049710479571906246818464511246378297911618574834939337783123171799212011807115027580635592184176621993_<225>] Free to factor

9×10²⁷⁹+8 = 9(0)₂₇₈8_<280> = 2³ × 120587 × 33411374034114590069_<20> × 19869097278958605636029_<23> × 14053340188591538961230824924150419804649480977419813144788350596442406447932942588753975846298156874437102488512432439864030406876324642603151231838547521580464044957364535202461920557985189112124961320963074279673991999661873051523_<233>

9×10²⁸⁰+8 = 9(0)₂₇₉8_<281> = 2³ × 4581770825273_<13> × 125004413600921_<15> × 1327011835038200683_<19> × 3218989165516089796223337643_<28> × 4598323291512217612297118752471189381582825407910420953389935264861922294014165178318350172349027408898594019038920401429470434379055738187221923739087175153828942128124089938351804663052326138638480143597113_<208>

9×10²⁸¹+8 = 9(0)₂₈₀8_<282> = 2³ × 23² × 183523 × 18418602050809_<14> × 120616832401823_<15> × [521605025239771332021385629767995097287937753501543808541082567360213381941365408134276559781017673132324433232436824781151349819088891004635722476827899457062597191394480888437828187169587456690961092557990234185882428188832733672827089569726829_<246>] Free to factor

9×10²⁸²+8 = 9(0)₂₈₁8_<283> = 2³ × 67 × 5616601 × 1147367806729_<13> × 2605562449383813476445134435471324681504576210315384711018578987425369626308360136568109306084342363223346514307645303468167011431696464846993665318584914636736758803460114590885654834779332177261599487857635198448327882239411598000372476944298135466851834362507_<262>

9×10²⁸³+8 = 9(0)₂₈₂8_<284> = 2³ × 7 × 43 × 269 × 2115949345189_<13> × [65664173181990790518561545581166120687591097890945231397900189517575352420387007622440828641149576859600150125174279071057977315653026546508763045228952647104742367828166978837599097431024933981508478805688911006644541399427982985659606921297620214201182200376267461_<266>] Free to factor

9×10²⁸⁴+8 = 9(0)₂₈₃8_<285> = 2³ × 19 × 563 × 9857 × 120833 × 3523763 × 6819851 × [367433402593752068628661257334879484964221499477176018123160634480206402606765092916319928698749995660492079256339864194142167436692606094700137171735310463893489210944018055688343770991683469976208644198325091580473036766699473109894597178679081330795458761_<258>] Free to factor

9×10²⁸⁵+8 = 9(0)₂₈₄8_<286> = 2³ × 2269 × [495813133539003966505068312031732040546496253856324371970030850594975760246804759806081974438078448655795504627589246364037020713970912296165711767298369325694138386954605553107095636844424856765094755398854120758043190832966064345526663728514764213309828118113706478624944909651829_<282>] Free to factor

9×10²⁸⁶+8 = 9(0)₂₈₅8_<287> = 2³ × [11250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<287>] Free to factor

9×10²⁸⁷+8 = 9(0)₂₈₆8_<288> = 2³ × 743 × 929501 × [162897285501788429025861939384159326125235117435035038547282413328294705509675466717338485745031578855094253433653600063385433353759011895936991723817345182199042779930185061466640888255701267796848805731872721652501072866861892523316208841866863533079978195742223186213767287107_<279>] Free to factor

9×10²⁸⁸+8 = 9(0)₂₈₇8_<289> = 2³ × 17 × 8803 × 772468243 × [9731779607950916186265961050903080643169197232517905382457279253416756712225417033366048540745432266290874646806745739598111140863616261841047560078147559975344843808945690566429501262977430312590298744736157949343385663526747620400878094028226688743138686817439449135156057_<274>] Free to factor

9×10²⁸⁹+8 = 9(0)₂₈₈8_<290> = 2³ × 7 × 35885656087_<11> × 211537917169_<12> × 367538990659426598701475077642917373723_<39> × 576025818175812737296312483376774670705240600758879015088143313913126944243610444403823136603067628306061675304282217318625285431774360958363812167899469307287183954998133368723553230522319606775028852214628049334011494889896547_<228> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:465425022 for P39 x P228 / March 20, 2023 2023 年 3 月 20 日)

9×10²⁹⁰+8 = 9(0)₂₈₉8_<291> = 2³ × 393401 × 799783340947_<12> × 357556526079422099414687530805663430327418251724545079665617372706808237793618710885082745559321352890399558364112543736296326681884504418066683004736084231456131686929037538684167236852006523622644305961866950828534601702284968318501740162367741898678969021110638976644083_<273>

9×10²⁹¹+8 = 9(0)₂₉₀8_<292> = 2³ × 547 × 41903 × 93703 × 14108330632079093561_<20> × [37127093758834098240353974172159061116600634645139315677050060898384515503521093998724264801671938545718797354337953074549381166682985021564548436246037213609553494906215863234871296569290214855607510164822323319501759029644473721460824405789482906547199157067_<260>] Free to factor

9×10²⁹²+8 = 9(0)₂₉₁8_<293> = 2³ × 2753 × 13721 × 219881 × 7249553 × [186836453094967176404542778597274305431931947183641247293787760894442446030716226007128606627004167665091901177391542426836673941261813063553277678707487345130652256492056078296872884466253919265061015740276641469989453307728964795075462239685022094255792479257657361720689_<273>] Free to factor

9×10²⁹³+8 = 9(0)₂₉₂8_<294> = 2³ × 122825299921_<12> × 206229049152745815463_<21> × 88014452569278643662305513101_<29> × [50461581520050019526432491472603383168528063123837704717271658052959158861001845159986252643073374475549082062828883949120174539924465883672985525474064993834986951099986805373696242696159039981881059166029665959427093423372709486787_<233>] Free to factor

9×10²⁹⁴+8 = 9(0)₂₉₃8_<295> = 2³ × 491 × 569 × 7388089 × 9126194996099_<13> × 9369057752563_<13> × 9499763452180366189117936871321_<31> × 671008766538458613301552186279651052466963760590688641169766041562200060055810388796211097119022923775517099187598410288252755320741051046538640241301252625081114281812129352761296954197663305939658291106406463564734803010723_<225> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3894600994 for P31 x P225 / February 7, 2023 2023 年 2 月 7 日)

9×10²⁹⁵+8 = 9(0)₂₉₄8_<296> = 2³ × 7² × 2003 × 1966504949_<10> × 422142476923_<12> × 7030396490975988976007329_<25> × 19640004225990322890118988606814846504928083020759416735968126448914553652893305145952243659777427698223633823199884057307085879894573535147783062994158232625703754380168046631132104264507809000908258458809140883308887202223485839897397701067501_<245>

9×10²⁹⁶+8 = 9(0)₂₉₅8_<297> = 2³ × 1667 × 3414041 × 5605673 × 4510165203640962736663919899_<28> × 66353222689923119183983996867457_<32> × 11783273530786631731587014521249253193842743740843813962499705095322408453732688653697805309911192056457588513432376925796615180975252290994691202297670320404012046119622000879867932829709373819498247071639752256963365297_<221> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4224645994 for P32 x P221 / February 7, 2023 2023 年 2 月 7 日)

9×10²⁹⁷+8 = 9(0)₂₉₆8_<298> = 2³ × 103 × 281 × 347 × 647 × 294447029 × 2307825323_<10> × 254779869814267833480618561319953072386857505735784997583783084490721230686785544175096139617290613708102294850150716743318148512769631824743494050739198603230870781710322815878038888095706607892874430339226026331453633622214787833360167600293890477465053499341361301869_<270>

9×10²⁹⁸+8 = 9(0)₂₉₇8_<299> = 2³ × 233 × 105358867 × 11173993859154316894325038714419809_<35> × [41012579134516317111086084204134404659885335910223712784271837707335291201999038165497852374382902522992894623330448449680355430444428662528702289507921235244647047060692045435458210305525390496469501326400587337511667208153830820783964289073779596428099_<254>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4131191227 for P35 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²⁹⁹+8 = 9(0)₂₉₈8_<300> = 2³ × 409 × 648266107 × 546552324816632521952252131831703_<33> × 66440289401308731034909503257872201_<35> × [11684567366615567830953702544372993569970875143012127471372583844309930304391841568560166089831557842983695569924593484169295711542963413291638636147435709943543659374061621979402206958614692357574783523685809568659228709_<221>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3162290479 for P33, B1=1000000, sigma=1:3299837414 for P35 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10³⁰⁰+8 = 9(0)₂₉₉8_<301> = 2³ × 1688509603494732314377_<22> × 666268049451167773962357667765235440800186565992908911749283152356302410951744055498711138901690158353560343998102491796068566947487086553624976597189183181186878527845252805574213509868689176670985787848262871213148905511815293064824297800275499919917145899944705408249892800313_<279>

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