Factorization of 900...004

Table of contents 目次

About 900...004 900...004 について
Prime numbers of the form 900...004 900...004 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...004 900...004 の素因数分解表

1. About 900...004 900...004 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

90w4 = { 94, 904, 9004, 90004, 900004, 9000004, 90000004, 900000004, 9000000004, 90000000004, … }

2. Prime numbers of the form 900...004 900...004 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...004 exists. 900...004 の形の素数は存在しません。

3. Factor table of 900...004 900...004 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 13, 2023 2023 年 3 月 13 日
n≤200 / Completed 終了 / June 26, 2023 2023 年 6 月 26 日
n≤300 / Remaining 57 残り 57

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

n=209, 210, 212, 215, 217, 218, 220, 224, 226, 230, 233, 235, 236, 237, 238, 240, 242, 243, 247, 249, 250, 251, 252, 255, 256, 257, 258, 259, 260, 262, 263, 264, 265, 267, 268, 269, 270, 271, 272, 273, 276, 277, 278, 279, 281, 283, 284, 285, 286, 289, 290, 291, 292, 296, 297, 298, 299 (57/300)

3.4. Factor table 素因数分解表

9×10¹+4 = 94 = 2 × 47

9×10²+4 = 904 = 2³ × 113

9×10³+4 = 9004 = 2² × 2251

9×10⁴+4 = 90004 = 2² × 22501

9×10⁵+4 = 900004 = 2² × 7 × 32143

9×10⁶+4 = 9000004 = 2² × 13 × 17 × 10181

9×10⁷+4 = 90000004 = 2² × 89 × 241 × 1049

9×10⁸+4 = 900000004 = 2² × 12433 × 18097

9×10⁹+4 = 9000000004_<10> = 2² × 23 × 97826087

9×10¹⁰+4 = 90000000004_<11> = 2² × 29 × 7577 × 102397

9×10¹¹+4 = 900000000004_<12> = 2² × 7 × 32142857143_<11>

9×10¹²+4 = 9000000000004_<13> = 2² × 13 × 1201 × 4177 × 34501

9×10¹³+4 = 90000000000004_<14> = 2² × 323899 × 69466099

9×10¹⁴+4 = 900000000000004_<15> = 2² × 4811909 × 46758989

9×10¹⁵+4 = 9000000000000004_<16> = 2² × 19 × 59 × 331 × 769 × 7885379

9×10¹⁶+4 = 90000000000000004_<17> = 2² × 197161 × 114119932441_<12>

9×10¹⁷+4 = 900000000000000004_<18> = 2² × 7 × 32142857142857143_<17>

9×10¹⁸+4 = 9000000000000000004_<19> = 2² × 13 × 373 × 617 × 752047323497_<12>

9×10¹⁹+4 = 90000000000000000004_<20> = 2² × 503 × 209687 × 213325625041_<12>

9×10²⁰+4 = 900000000000000000004_<21> = 2² × 877 × 30661 × 8367517120033_<13>

9×10²¹+4 = 9000000000000000000004_<22> = 2² × 158201 × 1519423 × 9360404087_<10>

9×10²²+4 = 90000000000000000000004_<23> = 2² × 17² × 92789 × 839050655576381_<15>

9×10²³+4 = 900000000000000000000004_<24> = 2² × 7 × 6232841 × 19949207 × 258507289

9×10²⁴+4 = 9000000000000000000000004_<25> = 2² × 13 × 97 × 6709590697_<10> × 265932492253_<12>

9×10²⁵+4 = 90000000000000000000000004_<26> = 2² × 401 × 69121361 × 811756667895841_<15>

9×10²⁶+4 = 900000000000000000000000004_<27> = 2² × 658633453 × 341616416498662117_<18>

9×10²⁷+4 = 9000000000000000000000000004_<28> = 2² × 211 × 10663507109004739336492891_<26>

9×10²⁸+4 = 90000000000000000000000000004_<29> = 2² × 415989349 × 54087923294401463149_<20>

9×10²⁹+4 = 900000000000000000000000000004_<30> = 2² × 7 × 2510027829007_<13> × 12805777199519449_<17>

9×10³⁰+4 = 9000000000000000000000000000004_<31> = 2² × 13² × 772661 × 41040049 × 419854634117861_<15>

9×10³¹+4 = 90000000000000000000000000000004_<32> = 2² × 23 × 762007 × 1283795122046408223683441_<25>

9×10³²+4 = 900000000000000000000000000000004_<33> = 2² × 829 × 416658001 × 7403777989_<10> × 87982211521_<11>

9×10³³+4 = 9000000000000000000000000000000004_<34> = 2² × 19 × 118421052631578947368421052631579_<33>

9×10³⁴+4 = 90000000000000000000000000000000004_<35> = 2² × 22500000000000000000000000000000001_<35>

9×10³⁵+4 = 900000000000000000000000000000000004_<36> = 2² × 7 × 11251 × 2856888911461838312784895310893_<31>

9×10³⁶+4 = 9000000000000000000000000000000000004_<37> = 2² × 13 × 39733 × 127252189 × 34231233324686385756421_<23>

9×10³⁷+4 = 90000000000000000000000000000000000004_<38> = 2² × 241 × 2081 × 8011 × 47809 × 629904851 × 185961076169569_<15>

9×10³⁸+4 = 900000000000000000000000000000000000004_<39> = 2² × 17 × 29³ × 27509 × 19727170570905027376895181353_<29>

9×10³⁹+4 = 9000000000000000000000000000000000000004_<40> = 2² × 863 × 83459 × 341604740317_<12> × 91448093773347050809_<20>

9×10⁴⁰+4 = 90000000000000000000000000000000000000004_<41> = 2² × 61 × 181 × 549949 × 129678928123429_<15> × 28574739469754641_<17>

9×10⁴¹+4 = 900000000000000000000000000000000000000004_<42> = 2² × 7² × 293 × 3169 × 4945344818343527960199337398523997_<34>

9×10⁴²+4 = 9000000000000000000000000000000000000000004_<43> = 2² × 13 × 370850981 × 9398860817_<10> × 49655174818643382790801_<23>

9×10⁴³+4 = 90000000000000000000000000000000000000000004_<44> = 2² × 110051 × 33385704773_<11> × 3907876919291_<13> × 1567065319280957_<16>

9×10⁴⁴+4 = 900000000000000000000000000000000000000000004_<45> = 2² × 225000000000000000000000000000000000000000001_<45>

9×10⁴⁵+4 = 9000000000000000000000000000000000000000000004_<46> = 2² × 197 × 881 × 156215139277_<12> × 82988375468503466740783078609_<29>

9×10⁴⁶+4 = 90000000000000000000000000000000000000000000004_<47> = 2² × 1213 × 179162710717_<12> × 1551052372553_<13> × 66749440570348289777_<20>

9×10⁴⁷+4 = 900000000000000000000000000000000000000000000004_<48> = 2² × 7 × 47 × 277 × 811 × 31408185743783_<14> × 96926637378392972835211369_<26>

9×10⁴⁸+4 = 9000000000000000000000000000000000000000000000004_<49> = 2² × 13 × 26041 × 5356129 × 1240881986234469443087778038088650893_<37>

9×10⁴⁹+4 = 90000000000000000000000000000000000000000000000004_<50> = 2² × 22500000000000000000000000000000000000000000000001_<50>

9×10⁵⁰+4 = 900000000000000000000000000000000000000000000000004_<51> = 2² × 397 × 1237 × 458165424189912622762880048219365532520581809_<45>

9×10⁵¹+4 = 9(0)₅₀4_<52> = 2² × 19 × 89 × 1029383 × 39292339 × 32896828934962209775716085835367703_<35>

9×10⁵²+4 = 9(0)₅₁4_<53> = 2² × 2315161 × 7915799041_<10> × 1227740436762696709820872077232799401_<37>

9×10⁵³+4 = 9(0)₅₂4_<54> = 2² × 7 × 23 × 11369 × 6504611 × 577523209 × 3369873380893_<13> × 9710241278585608727_<19>

9×10⁵⁴+4 = 9(0)₅₃4_<55> = 2² × 13 × 17 × 72253 × 102607089367969_<15> × 1373273349976305189438335014199033_<34>

9×10⁵⁵+4 = 9(0)₅₄4_<56> = 2² × 83023 × 107428774903_<12> × 2522687600677905033753596416602340952329_<40>

9×10⁵⁶+4 = 9(0)₅₅4_<57> = 2² × 9001 × 52030517437828021055276497_<26> × 480433863851141435518277833_<27>

9×10⁵⁷+4 = 9(0)₅₆4_<58> = 2² × 211 × 1497492336830419_<16> × 7120909300661289632100690444041938822489_<40>

9×10⁵⁸+4 = 9(0)₅₇4_<59> = 2² × 601 × 5865121 × 109778655135713_<15> × 58145105628286678741704120680460137_<35>

9×10⁵⁹+4 = 9(0)₅₈4_<60> = 2² × 7 × 635818655632436058491_<21> × 50553498010978126824774026748527440373_<38>

9×10⁶⁰+4 = 9(0)₅₉4_<61> = 2² × 13 × 1429 × 2053 × 55249 × 361033 × 2957649225255788413812921954012575452251013_<43>

9×10⁶¹+4 = 9(0)₆₀4_<62> = 2² × 2411 × 9332227291580257154707590211530485275819162173372044794691_<58>

9×10⁶²+4 = 9(0)₆₁4_<63> = 2² × 1609 × 92687789 × 1508703686411790152617871355199504210765505996597501_<52>

9×10⁶³+4 = 9(0)₆₂4_<64> = 2² × 10651 × 211247770162426063280443150877851844897192751854285982536851_<60>

9×10⁶⁴+4 = 9(0)₆₃4_<65> = 2² × 157 × 2025421 × 177529201 × 691399851386197549_<18> × 576459070133268601829102991517_<30>

9×10⁶⁵+4 = 9(0)₆₄4_<66> = 2² × 7 × 853 × 349241 × 1176173 × 4208863 × 11503751908819_<14> × 21223802848441_<14> × 89271230046061171_<17>

9×10⁶⁶+4 = 9(0)₆₅4_<67> = 2² × 13 × 29 × 205694361409_<12> × 216652909396097_<15> × 400907325274957_<15> × 334049067699699470428333_<24>

9×10⁶⁷+4 = 9(0)₆₆4_<68> = 2² × 241 × 31782567339523499229421048343_<29> × 2937490695867180477408007964865736727_<37>

9×10⁶⁸+4 = 9(0)₆₇4_<69> = 2² × 6373 × 1037911966348129_<16> × 34015595668008782075622100204822507378100424157453_<50>

9×10⁶⁹+4 = 9(0)₆₈4_<70> = 2² × 19 × 1597 × 76737722344509434567_<20> × 12214529162352094023997_<23> × 79111271657617328846693_<23>

9×10⁷⁰+4 = 9(0)₆₉4_<71> = 2² × 17 × 1060421 × 9136793 × 5885840281_<10> × 5757826368183446437_<19> × 4030829739824524721476322633_<28>

9×10⁷¹+4 = 9(0)₇₀4_<72> = 2² × 7 × 68300693 × 470608067517808975337085630197883099914416053477775735850042651_<63>

9×10⁷²+4 = 9(0)₇₁4_<73> = 2² × 13 × 15601 × 9555955993_<10> × 388704994702797793_<18> × 2986705947007594348161251184010690974973_<40>

9×10⁷³+4 = 9(0)₇₂4_<74> = 2² × 59 × 1327 × 17453209 × 31283957 × 1347784521094189081_<19> × 390518983026951344543670796184024569_<36>

9×10⁷⁴+4 = 9(0)₇₃4_<75> = 2² × 2393 × 64413473 × 5021380276246457_<16> × 290696626170989814709428246764955731921065576337_<48>

9×10⁷⁵+4 = 9(0)₇₄4_<76> = 2² × 23 × 6299 × 637423 × 242252096868543903419749489_<27> × 100574480712157244806981773148310906779_<39>

9×10⁷⁶+4 = 9(0)₇₅4_<77> = 2² × 109 × 771838501480030265857_<21> × 267441981648753756142096095771606073304836809433669477_<54>

9×10⁷⁷+4 = 9(0)₇₆4_<78> = 2² × 7 × 2401976379844801_<16> × 1168431833724486731_<19> × 11452818149908952645808158291853686673954053_<44>

9×10⁷⁸+4 = 9(0)₇₇4_<79> = 2² × 13 × 149 × 1161590087764584408879710893133711925658234383066597831698502839442436757873_<76>

9×10⁷⁹+4 = 9(0)₇₈4_<80> = 2² × 7894031407727_<13> × 8277038607422161_<16> × 8726377866873263_<16> × 39461598400809072527102364859836241_<35>

9×10⁸⁰+4 = 9(0)₇₉4_<81> = 2² × 59994313 × 3750355471192744552304482593208459608496558665485510268281595290540288377_<73>

9×10⁸¹+4 = 9(0)₈₀4_<82> = 2² × 38321 × 128706329 × 18878329957_<11> × 2319115553286348343_<19> × 4826444999897226887_<19> × 2158899663200616494597_<22>

9×10⁸²+4 = 9(0)₈₁4_<83> = 2² × 3361 × 10457 × 85237 × 90833 × 1726597 × 47889918902723978421597578752165073073189723872904576691249_<59>

9×10⁸³+4 = 9(0)₈₂4_<84> = 2² × 7² × 3733 × 12401 × 67647179 × 1450537969_<10> × 2431995352979_<13> × 104586362592987662927_<21> × 3974249691144835250465491_<25>

9×10⁸⁴+4 = 9(0)₈₃4_<85> = 2² × 13 × 154125212077_<12> × 2228521844847346711511385707281_<31> × 503904901810239296621068568233679568102121_<42> (Eric Jeancolas / ECM for P31 x P42 / February 7, 2023 2023 年 2 月 7 日)

9×10⁸⁵+4 = 9(0)₈₄4_<86> = 2² × 256628563964429793834371_<24> × 87675353251474494440140726714545031541586845310072812797919531_<62>

9×10⁸⁶+4 = 9(0)₈₅4_<87> = 2² × 17 × 402770093890283236815497_<24> × 32860667458722555734693595257696163812415334906754274470859049_<62>

9×10⁸⁷+4 = 9(0)₈₆4_<88> = 2² × 19 × 211 × 781027999343_<12> × 718587831339618475508887236136429563668184076331142701524341536285340023_<72>

9×10⁸⁸+4 = 9(0)₈₇4_<89> = 2² × 1621 × 4213753 × 1778602429_<10> × 535018653492800791899229_<24> × 3461645761603634382300031995857068763206074397_<46>

9×10⁸⁹+4 = 9(0)₈₈4_<90> = 2² × 7 × 569 × 1060696961371_<13> × 1733783252014646397807930256472809_<34> × 30717515320426652042385766461265809491573_<41> (Eric Jeancolas / ECM for P34 x P41 / February 7, 2023 2023 年 2 月 7 日)

9×10⁹⁰+4 = 9(0)₈₉4_<91> = 2² × 13 × 5360804639492273_<16> × 32285624027760757936110839029110903189117205849236839284875039911268772949_<74>

9×10⁹¹+4 = 9(0)₉₀4_<92> = 2² × 192099767 × 117126638680410268274817845041946354885479897536783581835369951281617119296141572103_<84>

9×10⁹²+4 = 9(0)₉₁4_<93> = 2² × 145889977 × 54718143037_<11> × 1965294084157467247067594167371915277_<37> × 14341618479367494712620976321221732337_<38> (Eric Jeancolas / ECM for P37 x P38 / February 7, 2023 2023 年 2 月 7 日)

9×10⁹³+4 = 9(0)₉₂4_<94> = 2² × 47 × 72703747841580255859_<20> × 26043486279311712458777171_<26> × 25283007936565993743084021061221911255751919447_<47>

9×10⁹⁴+4 = 9(0)₉₃4_<95> = 2² × 29 × 750353 × 544434324524767858439245366689450969377_<39> × 1899211795710527571473726245548632297616952590149_<49> (Eric Jeancolas / ECM for P39 x P49 / February 7, 2023 2023 年 2 月 7 日)

9×10⁹⁵+4 = 9(0)₉₄4_<96> = 2² × 7 × 89 × 223 × 52103 × 211969 × 684207989835169_<15> × 629731622521101059_<18> × 2164962121198764967_<19> × 157202910204708176938811733131_<30>

9×10⁹⁶+4 = 9(0)₉₅4_<97> = 2² × 13 × 782628110254813_<15> × 84119138355210548375663242574419585789_<38> × 2628989839048110955117627942286594551857661_<43> (Eric Jeancolas / ECM for P38 x P43 / February 7, 2023 2023 年 2 月 7 日)

9×10⁹⁷+4 = 9(0)₉₆4_<98> = 2² × 23 × 241 × 41684698858623251_<17> × 97378027040635358730324589060595005154051533597969505096506421352337231458157_<77>

9×10⁹⁸+4 = 9(0)₉₇4_<99> = 2² × 233 × 123850562586941_<15> × 7425161174764076795729518056989_<31> × 1050080825335928290424399395393867568178390439021553_<52> (Eric Jeancolas / ECM for P31 x P52 / February 7, 2023 2023 年 2 月 7 日)

9×10⁹⁹+4 = 9(0)₉₈4_<100> = 2² × 206303 × 184598796365626422953297506732467077117_<39> × 59081037028452616130530885148448979148576585650302559051_<56> (Eric Jeancolas / ECM for P39 x P56 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁰⁰+4 = 9(0)₉₉4_<101> = 2² × 61 × 2089 × 2606339149_<10> × 3330449087329456609687908330553_<31> × 20341384856048679562627342839162171280549050809534354377_<56> (Eric Jeancolas / ECM for P31 x P56 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁰¹+4 = 9(0)₁₀₀4_<102> = 2² × 7 × 4266356681_<10> × 7534029511879234941337258797011759471580584694872853003530404340062523444964365637120799103_<91>

9×10¹⁰²+4 = 9(0)₁₀₁4_<103> = 2² × 13 × 17 × 12086621441119217_<17> × 1091007092614440085029403695031061_<34> × 772071907356801578221386318295158007543682321827313_<51> (Eric Jeancolas / ECM for P34 x P51 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁰³+4 = 9(0)₁₀₂4_<104> = 2² × 118687 × 797131 × 685279978045571_<15> × 41470257007998572333_<20> × 127453897065890733451_<21> × 65658624076725274025176219142498552881_<38>

9×10¹⁰⁴+4 = 9(0)₁₀₃4_<105> = 2² × 225000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<105>

9×10¹⁰⁵+4 = 9(0)₁₀₄4_<106> = 2² × 19 × 727 × 1103 × 120762666069437299_<18> × 1222886924798048799606461252337635317208331991601313891032525791938841103600076641_<82>

9×10¹⁰⁶+4 = 9(0)₁₀₅4_<107> = 2² × 617 × 494086195181_<12> × 717353519273_<12> × 10987030361880193053661242877_<29> × 9364424150707723018606598159853332655163062499479353_<52>

9×10¹⁰⁷+4 = 9(0)₁₀₆4_<108> = 2² × 7 × 658837 × 304454321 × 4058265901220615533_<19> × 39486064984430935139484813006055053362233440063403153560459780405578404823_<74>

9×10¹⁰⁸+4 = 9(0)₁₀₇4_<109> = 2² × 13² × 158400739034533_<15> × 1170285530404849_<16> × 71820227192230738517407624754559152983429506850179567219628215172190216816437_<77>

9×10¹⁰⁹+4 = 9(0)₁₀₈4_<110> = 2² × 131 × 8369 × 46613561254657822979_<20> × 440276363268711220014958001801724495945322905253931609976106191987076596755766768521_<84>

9×10¹¹⁰+4 = 9(0)₁₀₉4_<111> = 2² × 967201 × 123978830435653_<15> × 1317821429811441592672850630622987977_<37> × 1423841610273608504601713422881781579979423808578313221_<55> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2981575107 for P37 x P55 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹¹+4 = 9(0)₁₁₀4_<112> = 2² × 8464583 × 57487877 × 4623817449611538684383718099126832604009689734057758409604153353778943014511127381840413179044811_<97>

9×10¹¹²+4 = 9(0)₁₁₁4_<113> = 2² × 997 × 11952840300212187697_<20> × 233003335583341456325451888463657_<33> × 8103154220201874822923658884681139116835755733691805652277_<58> (Eric Jeancolas / ECM for P33 x P58 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹³+4 = 9(0)₁₁₂4_<114> = 2² × 7 × 1367 × 1499 × 3169 × 14249 × 24976837 × 9866950487811651160787554810583117303_<37> × 1409572169497072310663305345957277371021006324284752281_<55> (Eric Jeancolas / ECM for P37 x P55 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹⁴+4 = 9(0)₁₁₃4_<115> = 2² × 13 × 113 × 257 × 19301 × 308779022663377486461418039915384760181391745561867266692248235603144823111917936760341542936221333450097_<105>

9×10¹¹⁵+4 = 9(0)₁₁₄4_<116> = 2² × 343812274237221370538333_<24> × 103610951416130999737861521026455433521_<39> × 631619426997391201609947464258608772638791386045828357_<54> (Eric Jeancolas / cado-nfs-3.0.0 for P39 x P54 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹⁶+4 = 9(0)₁₁₅4_<117> = 2² × 277 × 1453 × 169196581 × 64747481824801_<14> × 18288531169646584900730449989631304004517_<41> × 2790254663350144591722371460703983768480192574873_<49> (Eric Jeancolas / ECM for P41 x P49 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹⁷+4 = 9(0)₁₁₆4_<118> = 2² × 211 × 2235131246618394019494503896554710834481527_<43> × 4770863959392953516154468744012837677851080848774046559109034009500457533_<73> (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P73 / February 7, 2023 2023 年 2 月 7 日)

9×10¹¹⁸+4 = 9(0)₁₁₇4_<119> = 2² × 17 × 10357 × 12614217017_<11> × 123002864141_<12> × 464988853949508013_<18> × 121253457375120374033_<21> × 343990457785642884749537_<24> × 4246596807507452424444182081309_<31>

9×10¹¹⁹+4 = 9(0)₁₁₈4_<120> = 2² × 7 × 23 × 3571 × 18244023956967610051812685773760285490628848423397741637_<56> × 21450931598553575900616857608715008389273516222112545828383_<59> (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P59 / February 7, 2023 2023 年 2 月 7 日)

9×10¹²⁰+4 = 9(0)₁₁₉4_<121> = 2² × 13 × 97 × 937777 × 374292817 × 5083424314151100354815144204357544929530516364729909517304777510143539293147678139567098734124594965349_<103>

9×10¹²¹+4 = 9(0)₁₂₀4_<122> = 2² × 419 × 463 × 3209 × 28463 × 218073481 × 411202479761572059105833181985369_<33> × 14160498200819549262865730158058757824703166626482496950039066966291_<68> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:859919002 for P33 x P68 / February 7, 2023 2023 年 2 月 7 日)

9×10¹²²+4 = 9(0)₁₂₁4_<123> = 2² × 29 × 5197 × 10453 × 1076010356310303361_<19> × 8251848165232096916800895569_<28> × 16085078078858638124334732012560219923832911761824404472052512204501_<68>

9×10¹²³+4 = 9(0)₁₂₂4_<124> = 2² × 19 × 137245062769277_<15> × 753242233162640268503_<21> × 13348427141584524895515518287_<29> × 85815834361948590861435881507391519923572183127648458825807_<59>

9×10¹²⁴+4 = 9(0)₁₂₃4_<125> = 2² × 12362173 × 1820068365003466623545876602762313712969394620185302373619912939254288060844966333993222712544145758193159082954105237_<118>

9×10¹²⁵+4 = 9(0)₁₂₄4_<126> = 2² × 7³ × 331 × 16107001317026023049810809_<26> × 123039826512800889223680468092410344337230016292424220248985014313056491238831910187837463593533_<96>

9×10¹²⁶+4 = 9(0)₁₂₅4_<127> = 2² × 13 × 6048095165241204383758148508022238243807008994877257_<52> × 28616765832589307075705707691345594073180266091978481153277441137791887261_<74> (Bob Backstrom / Msieve 1.44 snfs for P52 x P74 / February 27, 2023 2023 年 2 月 27 日)

9×10¹²⁷+4 = 9(0)₁₂₆4_<128> = 2² × 241 × 144361583 × 158807651 × 4072324882521877092935939143824157045887554015375759920473120170262425278692358739462023159875081284511928117_<109>

9×10¹²⁸+4 = 9(0)₁₂₇4_<129> = 2² × 750604093 × 299758557271815995812855233124874526896564631442797101827154571617823565478479212076452133068770782735393370683365031957_<120>

9×10¹²⁹+4 = 9(0)₁₂₈4_<130> = 2² × 5641 × 14447 × 116367461017739_<15> × 953017871484236883267293427942774477687743_<42> × 248952299493475371327823560867854071998373304647053133766748205019_<66> (anonymous / GGNFS+Msieve 1.54 snfs for P42 x P66 / March 1, 2023 2023 年 3 月 1 日)

9×10¹³⁰+4 = 9(0)₁₂₉4_<131> = 2² × 44533 × 2226448201_<10> × 272835150305261_<15> × 974514832805825209_<18> × 3361151416741177445734687870393829_<34> × 253928307103059110547692036276970577571147042092957_<51> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1207489797 for P34 x P51 / February 7, 2023 2023 年 2 月 7 日)

9×10¹³¹+4 = 9(0)₁₃₀4_<132> = 2² × 7 × 59 × 179 × 110640181684819_<15> × 768725822992573170247_<21> × 212505293836333499405081_<24> × 10366131708270386999494580684339_<32> × 16244584558308604492631724873410376049_<38> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:735015959 for P32 x P38 / February 7, 2023 2023 年 2 月 7 日)

9×10¹³²+4 = 9(0)₁₃₁4_<133> = 2² × 13 × 6841 × 7369 × 3524041 × 432503556252116948358430506200499229_<36> × 14268992673163533931205157748336370101_<38> × 157865441526305891252127547560663424285498717_<45> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1878560868 for P36, cado-nfs-3.0.0 for P38 x P45 / February 7, 2023 2023 年 2 月 7 日)

9×10¹³³+4 = 9(0)₁₃₂4_<134> = 2² × 167 × 5407 × 16468423 × 763252739 × 125097207379_<12> × 55328808059773_<14> × 286411441582861216135276246573711181284333743061720421457160528141457244828190383013171_<87>

9×10¹³⁴+4 = 9(0)₁₃₃4_<135> = 2² × 17 × 1181 × 1693 × 1242435017_<10> × 6005162417_<10> × 3733927609109_<13> × 215113878166477_<15> × 113606425563618102245082473_<27> × 9722793912050698614167835127570957326198838287324470521_<55>

9×10¹³⁵+4 = 9(0)₁₃₄4_<136> = 2² × 28441327 × 492098883755102278302368234329_<30> × 160760845853634996893895784081026157666487207666937371672401767157726121502501345408177595725006247_<99> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3623247157 for P30 x P99 / February 7, 2023 2023 年 2 月 7 日)

9×10¹³⁶+4 = 9(0)₁₃₅4_<137> = 2² × 10597177 × 459324644812115478402971853589_<30> × 4622453829759980394961379548290725977427422759783982160595728644626877507201449059972949160876954917_<100> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3524077073 for P30 x P100 / February 7, 2023 2023 年 2 月 7 日)

9×10¹³⁷+4 = 9(0)₁₃₆4_<138> = 2² × 7 × 761 × 469237 × 4445059191917_<13> × 4895811400053356579_<19> × 4136236321719693509304932392415985679705084695728272395467374961294851031627411120707881912776693_<97>

9×10¹³⁸+4 = 9(0)₁₃₇4_<139> = 2² × 13 × 1109 × 7880385843604229_<16> × 67079735904135966735418441_<26> × 295235646994243013917959354934190212788417367236890045231120961020443722725692654060274251477_<93>

9×10¹³⁹+4 = 9(0)₁₃₈4_<140> = 2² × 47 × 89 × 3533 × 6779 × 327371854010783_<15> × 25317905190998199677_<20> × 64906212116841425385971_<23> × 433554967437332492383280431893601_<33> × 962910325544189923827641966202562024961_<39> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3164573403 for P33 x P39 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁴⁰+4 = 9(0)₁₃₉4_<141> = 2² × 31741 × 243157 × 962692501 × 31852833936328564721886733_<26> × 13092474775672957860581203629532453255386390133_<47> × 72613559176761563788559448897179774127160675974157_<50> (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P50 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁴¹+4 = 9(0)₁₄₀4_<142> = 2² × 19 × 23 × 15262826382426879481_<20> × 337338661251653560666194232238881585577330787792342680318041696286620694269189417678500648592636180267982469682336398533_<120>

9×10¹⁴²+4 = 9(0)₁₄₁4_<143> = 2² × 157 × 389 × 538093 × 21473633 × 4749739850846413_<16> × 33475375202099523708463973335615510597_<38> × 200528044507249734023062346679196700168308490548073056288922195193218293_<72> (Lionel Debroux / CADO-NFS for P38 x P72 / March 8, 2023 2023 年 3 月 8 日)

9×10¹⁴³+4 = 9(0)₁₄₂4_<144> = 2² × 7 × 197 × 4423 × 641521 × 773294993881_<12> × 74361002560805642987336980837970782892428283977733960281374595650792861419484026016644891189062079389034359674002289653_<119>

9×10¹⁴⁴+4 = 9(0)₁₄₃4_<145> = 2² × 13 × 9166392769_<10> × 56791630070788021_<17> × 9775567619271421144615909783210605930735706000663866988921_<58> × 34010607161259096982428140145818384457947744657018749773913_<59> (anonymous / Msieve 1.54 for P58 x P59 / March 12, 2023 2023 年 3 月 12 日)

9×10¹⁴⁵+4 = 9(0)₁₄₄4_<146> = 2² × 61059027445739_<14> × 156613845930662500748303993657124889697839631767357_<51> × 2352894643396114965986344461784842190168223422280396464059871531155820732413861887_<82> (Bob Backstrom / Msieve 1.44 snfs for P51 x P82 / February 23, 2023 2023 年 2 月 23 日)

9×10¹⁴⁶+4 = 9(0)₁₄₅4_<147> = 2² × 701 × 732873466093_<12> × 854683292685107177_<18> × 1214056390121483907497099964220166861_<37> × 422076748515086251159737896007121743914138931521026541960183192044162460599781_<78> (Eric Jeancolas / cado-nfs-3.0.0 for P37 x P78 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁴⁷+4 = 9(0)₁₄₆4_<148> = 2² × 211 × 1093 × 2957 × 20201 × 88592806957_<11> × 565945462318057463_<18> × 4568233980174746686794156491_<28> × 713073543664750208806304326626308808535732968714361693463595603760532224149211_<78>

9×10¹⁴⁸+4 = 9(0)₁₄₇4_<149> = 2² × 193 × 337 × 4273 × 10650904801_<11> × 1145164752824205613_<19> × 47064747874401076097207485215500559253_<38> × 141030226570916482364261101673364196183034184625876004695251862005143345713_<75> (Lionel Debroux / CADO-NFS for P38 x P75 / March 13, 2023 2023 年 3 月 13 日)

9×10¹⁴⁹+4 = 9(0)₁₄₈4_<150> = 2² × 7 × 397 × 1481 × 338413 × 1923131236809905340094237564419808647635197723872520672882960001_<64> × 84000709221578811896941137198462108831453369281907692197543957880936471623_<74> (Bob Backstrom / Msieve 1.44 snfs for P64 x P74 / February 25, 2023 2023 年 2 月 25 日)

9×10¹⁵⁰+4 = 9(0)₁₄₉4_<151> = 2² × 13 × 17 × 29 × 17761 × 341405051894173_<15> × 2625604977978378618517515459557301701_<37> × 2569869079235710786242690305780007001469_<40> × 8580537683167766549507709476525455583203684112673277_<52> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4006033959 for P37, cado-nfs-3.0.0 for P40 x P52 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁵¹+4 = 9(0)₁₅₀4_<152> = 2² × 557 × 14026638801913846009609188458413454469906068080463_<50> × 2879875474123302807016189771143751208790284582825647270642417740825809554506171257865626682141675211_<100> (Bob Backstrom / Msieve 1.44 snfs for P50 x P100 / February 26, 2023 2023 年 2 月 26 日)

9×10¹⁵²+4 = 9(0)₁₅₁4_<153> = 2² × 16700925078241_<14> × 9770870512053533461_<19> × 56103564586077363997_<20> × 24576400578659451042335442340163112371160025211872676120558896237662302719870668819713433969724708033_<101>

9×10¹⁵³+4 = 9(0)₁₅₂4_<154> = 2² × 446038651 × 1590475819_<10> × 564599075826251_<15> × 5617496246125486643640364366285044568188558945137611106440830664502978165678461581812924339335272573789438490998583419179_<121>

9×10¹⁵⁴+4 = 9(0)₁₅₃4_<155> = 2² × 897157 × 37195786787543713754905051197960169773787489203639815035249_<59> × 674249011601064400642800815792914325405849146118655672280184304433908314500248997562764957_<90> (Bob Backstrom / Msieve 1.44 snfs for P59 x P90 / March 1, 2023 2023 年 3 月 1 日)

9×10¹⁵⁵+4 = 9(0)₁₅₄4_<156> = 2² × 7 × 8864813 × 1423205227933644117630166460631095519260151728296887978663_<58> × 2547694613997902015756204671053304810191320108109760711992307912025074174438149020372963797_<91> (Bob Backstrom / Msieve 1.44 snfs for P58 x P91 / March 1, 2023 2023 年 3 月 1 日)

9×10¹⁵⁶+4 = 9(0)₁₅₅4_<157> = 2² × 13 × 1332313 × 30194302393_<11> × 5240282939483857_<16> × 821018916640677383312125687763170871154263800735521296699707245588485671591233511455403104530885185429121426004952216257829_<123>

9×10¹⁵⁷+4 = 9(0)₁₅₆4_<158> = 2² × 241 × 1277 × 28063265371_<11> × 2605171840626775009528196138876421786110191922941086563369496561995927294907241768797903465964368648527971143788148298228215854013484886237183_<142>

9×10¹⁵⁸+4 = 9(0)₁₅₇4_<159> = 2² × 4411921229_<10> × 50998190656952909981340013629694837872183596956961898650434857979192628962505894277379447746255308312985295141587397547799691235149203068421328788869_<149>

9×10¹⁵⁹+4 = 9(0)₁₅₈4_<160> = 2² × 19 × 3761 × 21611 × 1004289926816798511252931_<25> × 188166456896469394981227609623_<30> × 7709911738017922656665545457027955676921205709440038863691133554004369123191037640934740156969773_<97> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:472312954 for P30 x P97 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁶⁰+4 = 9(0)₁₅₉4_<161> = 2² × 61 × 9973 × 7309774440969064798806869407799213125141_<40> × 222226522976809869428540592556419796554253_<42> × 22768110829493977268783096382699548471110806950276671843176332087353008529_<74> (Bob Backstrom / Msieve 1.44 snfs for P40 x P42 x P74 / March 3, 2023 2023 年 3 月 3 日)

9×10¹⁶¹+4 = 9(0)₁₆₀4_<162> = 2² × 7 × 6131 × 2693649727_<10> × 737974197258433883197265069167565911587527_<42> × 2637368797561182606349161562028320439531429502987196139334769331773204933356786643850922040498966633299157_<106> (Bob Backstrom / GMP-ECM 7.0.4 B1=30870000, sigma=1:4149423734 for P42 x P106 / March 3, 2023 2023 年 3 月 3 日)

9×10¹⁶²+4 = 9(0)₁₆₁4_<163> = 2² × 13 × 941 × 12613 × 22541 × 47378161 × 24464029329075481464701_<23> × 175239046975603128571472734133248171234355557_<45> × 3185084047044351045054601751171974908750952749635129365224339667623984325817_<76> (Bob Backstrom / Msieve 1.44 snfs for P45 x P76 / March 7, 2023 2023 年 3 月 7 日)

9×10¹⁶³+4 = 9(0)₁₆₂4_<164> = 2² × 23 × 27211939 × 11208919832804269470115691_<26> × 5691162175592762557062303224146632223872997775722765167113491_<61> × 563547423845044081949037936667640014833131960661373330054961979632893_<69> (Bob Backstrom / Msieve 1.44 snfs for P61 x P69 / March 6, 2023 2023 年 3 月 6 日)

9×10¹⁶⁴+4 = 9(0)₁₆₃4_<165> = 2² × 8017 × 27597026666445191161_<20> × 5845247041389588876391692913_<28> × 1047373727117252529575415792541_<31> × 166113066266736539765933170665918265181440861503867002123483571525634742245562850781_<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:301813378 for P31 x P84 / February 7, 2023 2023 年 2 月 7 日)

9×10¹⁶⁵+4 = 9(0)₁₆₄4_<166> = 2² × 19869761 × 30217420194588346042259140099168843756761098451528863_<53> × 3747421041683496631024176334850598771213942159299263772738894958342812923908698407801289930752805173704607_<106> (Bob Backstrom / Msieve 1.44 snfs for P53 x P106 / March 8, 2023 2023 年 3 月 8 日)

9×10¹⁶⁶+4 = 9(0)₁₆₅4_<167> = 2² × 17 × 1014257 × 1903836396155789_<16> × 685418714194459556353436065995568572418291615446063245971624643584573961088112016973098497817162019906041122181373400357564008229623505867131461_<144>

9×10¹⁶⁷+4 = 9(0)₁₆₆4_<168> = 2² × 7² × 672434428648841884909711886028102397_<36> × 2248303407987849117400907608467320723539_<40> × 3037257254719360235918501655095107438488032667937289301700848611055733659199598012693414503_<91> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2004746133 for P36 / February 7, 2023 2023 年 2 月 7 日) (anonymous / ECM for P40 x P91 / February 20, 2023 2023 年 2 月 20 日)

9×10¹⁶⁸+4 = 9(0)₁₆₇4_<169> = 2² × 13 × 51421 × 3365880147739699284787867273622120863520291769450673400421557789170243225979209332314094959706674764724977672995019993328077573813751639931605315397929310533110537_<163>

9×10¹⁶⁹+4 = 9(0)₁₆₈4_<170> = 2² × 6299 × 66450870887_<11> × 478055352809_<12> × 740780184007626053_<18> × 147854462047578438131281_<24> × 19259240169221374572175643099_<29> × 53305142228550375327110911461308791828445581593656849227254004647881627579_<74>

9×10¹⁷⁰+4 = 9(0)₁₆₉4_<171> = 2² × 723019201 × 8259902533613684670106407593_<28> × 37675390684599387760959510789357409121414003345725031588819931219646265926679718240210004133394805973836739948967395269717727701316057_<134>

9×10¹⁷¹+4 = 9(0)₁₇₀4_<172> = 2² × 1103041 × 68917699 × 34086916561_<11> × 868305148610857271770404097189821163155097722074432704262237883699534753242551133952893554815710211358674469984144289749363012369204973779098554299_<147>

9×10¹⁷²+4 = 9(0)₁₇₁4_<173> = 2² × 303544332567516278887133680479815833_<36> × 74124263199660977275892276879586811986778162876007128824881002498030773844912634899272669380758057037902659351066962291472058356787907497_<137> (Bob Backstrom / Msieve 1.44 snfs for P36 x P137 / March 11, 2023 2023 年 3 月 11 日)

9×10¹⁷³+4 = 9(0)₁₇₂4_<174> = 2² × 7 × 44490340157_<11> × 17545990028459_<14> × 700909066908521_<15> × 835692320647087_<15> × 4071968860136795497332281164124536790087_<40> × 17263479609376007654449342547532964774667684633762760555057255509723066690412889_<80> (Rytis Slatkevicius / yafu2 for P40 x P80 / February 21, 2023 2023 年 2 月 21 日)

9×10¹⁷⁴+4 = 9(0)₁₇₃4_<175> = 2² × 13 × 269 × 1129 × 42445170584378751169_<20> × 136010749632756043061_<21> × 2737243052686742141618014901_<28> × 36064346259580827801292376633344992019511178982082561942529578372275726150164623342567083692147274553_<101>

9×10¹⁷⁵+4 = 9(0)₁₇₄4_<176> = 2² × 91416498750919925477_<20> × 8917882961848779379842693583063957888877_<40> × 27599179174236918435860914336375617690420510423611360357976718699035039630566647775736411225647842645206943914384769_<116> (Bob Backstrom / GMP-ECM 7.0.4 B1=30000000, sigma=1:3274198432 for P40 x P116 / March 12, 2023 2023 年 3 月 12 日)

9×10¹⁷⁶+4 = 9(0)₁₇₅4_<177> = 2² × 229 × 251441401 × 562043655942073_<15> × 148488813891692809_<18> × 266984196735008261345740756463808421426980411300505537_<54> × 175372262210761134301093130824553775560877986849886767010809740111141972003174741_<81> (Ignacio Santos / GNFS, Msieve for P54 x P81 / April 18, 2023 2023 年 4 月 18 日)

9×10¹⁷⁷+4 = 9(0)₁₇₆4_<178> = 2² × 19 × 211 × 2106289 × 4451734933039441_<16> × 59854830417645725780829961903955671408017923998015118953885104279530605782709592382026333564087673582516647593642799738235922237518531322773849236881561_<152>

9×10¹⁷⁸+4 = 9(0)₁₇₇4_<179> = 2² × 29 × 27227014553_<11> × 19956444015404832565436777_<26> × 1427911655656158353261633819370493049398175314426274093170807880209708435108119681534468416746464592228651826550057687538730583066007754757749_<142>

9×10¹⁷⁹+4 = 9(0)₁₇₈4_<180> = 2² × 7 × 782446964281_<12> × 9252043984663012241_<19> × 226889410655140617476200501225708799719138961264414833138571104334317_<69> × 19569406399921782845642430137089194810555178484606658421192477506149348794595099_<80> (Bob Backstrom / Msieve 1.44 snfs for P69 x P80 / April 13, 2023 2023 年 4 月 13 日)

9×10¹⁸⁰+4 = 9(0)₁₇₉4_<181> = 2² × 13 × 2253810736551753555978994784534437433675622476986200517_<55> × 76793015611294992733229420072535827253599925905172403706414282207787531716751056017560224599507198577551766131558538655463681_<125> (Bob Backstrom / Msieve 1.44 snfs for P55 x P125 / March 16, 2023 2023 年 3 月 16 日)

9×10¹⁸¹+4 = 9(0)₁₈₀4_<182> = 2² × 129091504796856397_<18> × 174294970342215068761462747444894147498201690935419240153048837413527809340709445831999335683983835686561604306403453738207743135563720502421376363586810911516313733_<165>

9×10¹⁸²+4 = 9(0)₁₈₁4_<183> = 2² × 17 × 151573 × 32643691230678049_<17> × 2012665369844244789107653_<25> × 364832444136771045168834857742623328556307677_<45> × 3642901781732670717161910700987956452483334929115558726841670130178841079976822737084611069_<91> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P91 / May 15, 2023 2023 年 5 月 15 日)

9×10¹⁸³+4 = 9(0)₁₈₂4_<184> = 2² × 89 × 12437 × 1147794980851_<13> × 1459146052752055861651_<22> × 1213706816884009347908027083983157619107750692724855004123136133897242049853082807464914427392014101418183499699884468898348542202873042923609757_<145>

9×10¹⁸⁴+4 = 9(0)₁₈₃4_<185> = 2² × 109 × 46993 × 640153 × 25749213601_<11> × 266486427158125334342169472511158295305561241160305665006767248487314029381683613241858281917503819739049975987995883979157640928215878310854039231188852447431741_<162>

9×10¹⁸⁵+4 = 9(0)₁₈₄4_<186> = 2² × 7 × 23 × 47 × 277 × 3169 × 2577903205693_<13> × 6403580203568821678581676453_<28> × 6701327772997034208420416915227808929_<37> × 95309859354171196564763458313307590828461644809_<47> × 3212688559763315164989950649048183037901952042777899_<52> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3718826311 for P37 / March 28, 2023 2023 年 3 月 28 日) (Dmitry Domanov / Msieve 1.54 gnfs for P47 x P52 / March 29, 2023 2023 年 3 月 29 日)

9×10¹⁸⁶+4 = 9(0)₁₈₅4_<187> = 2² × 13² × 1325309 × 3057544969_<10> × 3285532844926844939034209167878037409873739472013719889183015452171610073295353166184320617987163245640606940942918881276249618473325057924919056768442693340857499901349_<169>

9×10¹⁸⁷+4 = 9(0)₁₈₆4_<188> = 2² × 241 × 293 × 136841 × 57594847 × 295503449 × 136815541245087925287678543073475833515707594842729220824462242373898767330799161320068112064950546319479387577358691382390084931728439159038264521800401690738499_<162>

9×10¹⁸⁸+4 = 9(0)₁₈₇4_<189> = 2² × 673 × 1489 × 1549 × 10328317 × 247220437 × 1355960126864533_<16> × 41865905682184305370371998387607742450607904083032790648874330425800958320880985160628504922374267521789619707342482898224907947878076838846871921281_<149>

9×10¹⁸⁹+4 = 9(0)₁₈₈4_<190> = 2² × 59 × 214481 × 4633422434717_<13> × 50126729866841_<14> × 210268793868227491_<18> × 3640789639163500283703800189213931554942346690838896110154311297957689372434303208073165370576720512476389454736174571445189273204019154397_<139>

9×10¹⁹⁰+4 = 9(0)₁₈₉4_<191> = 2² × 8429 × 5700493 × 12593542597_<11> × 220335475937_<12> × 60155999723678855669_<20> × 157524245003928742122960417325155889148755228817_<48> × 17808828377183732613423862295718096849712387464252275660286450087369873108178276427293601089_<92> (Eric Jeancolas / cado-nfs-3.0.0 for P48 x P92 / June 24, 2023 2023 年 6 月 24 日)

9×10¹⁹¹+4 = 9(0)₁₉₀4_<192> = 2² × 7 × 887 × 120179897224856435240092186730088405206695435386732147505292806997404743329047_<78> × 301528960136507236070936541084722754401604512601317637212162002901317954545724602258240864556650185616962502887_<111> (Bob Backstrom / Msieve 1.44 snfs for P78 x P111 / April 3, 2023 2023 年 4 月 3 日)

9×10¹⁹²+4 = 9(0)₁₉₁4_<193> = 2² × 13 × 155514757 × 49171622977_<11> × 853110897577_<12> × 34872358092421_<14> × 1633131574101822467956584152640064626046421108362037065052680823144257_<70> × 465848858982719169270216297864513908730106340799033572205378553097188477472197_<78> (Eric Jeancolas / cado-nfs-3.0.0 for P70 x P78 / June 26, 2023 2023 年 6 月 26 日)

9×10¹⁹³+4 = 9(0)₁₉₂4_<194> = 2² × 46024717 × 112628831093_<12> × 188040566539488437_<18> × 78751009462627352761907791382708254718566625081_<47> × 73840162055151735458996528393080741057827246050431649_<53> × 3969551976595575541418238359899725807124007580583534373557_<58> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3922851367 for P47 / April 28, 2023 2023 年 4 月 28 日) (Bob Backstrom / Msieve 1.44 gnfs for P53 x P58 / May 1, 2023 2023 年 5 月 1 日)

9×10¹⁹⁴+4 = 9(0)₁₉₃4_<195> = 2² × 617 × 9721609 × 6320330846807057_<16> × 8137701444979491589197696205436510993302700991435340541_<55> × 135452413057156605022685401803714616784444558942575566613_<57> × 5384320370149933494079251721935979960245975332060774793857_<58> (Bob Backstrom / Msieve 1.44 snfs for P55 x P57 x P58 / April 23, 2023 2023 年 4 月 23 日)

9×10¹⁹⁵+4 = 9(0)₁₉₄4_<196> = 2² × 19 × 3037 × 15826637 × 39103721 × 23757407724719322051618289387789374450167_<41> × 2652029477880368220766506589454874310796200687999841795753467636478460759450480391720735921443916838141886926017881693554361007351906013_<136> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:2609657288 for P41 x P136 / February 26, 2023 2023 年 2 月 26 日)

9×10¹⁹⁶+4 = 9(0)₁₉₅4_<197> = 2² × 1430089 × 3574588429_<10> × 25871973133_<11> × 22672537388866424474214754906969_<32> × 97920488421521235758185050119441976684079213_<44> × 6724283246426012954019121618008892171062195049_<46> × 11395782678218957863867610479810032539131102871029_<50> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2056251945 for P32 / February 7, 2023 2023 年 2 月 7 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=21830000, sigma=1:3225272123 for P44 x P46 x P50 / May 31, 2023 2023 年 5 月 31 日)

9×10¹⁹⁷+4 = 9(0)₁₉₆4_<198> = 2² × 7 × 160997 × 10425127 × 51257797 × 250240719106378918659717412205449_<33> × 1493026183521639074082890286723512948519670307007158153869958304061408132550837663748588988973012680390350125549893291863022559837709968393230449_<145> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1077504012 for P33 x P145 / February 26, 2023 2023 年 2 月 26 日)

9×10¹⁹⁸+4 = 9(0)₁₉₇4_<199> = 2² × 13 × 17 × 509 × 13017509 × 22154777 × 197195108572097_<15> × 351707034264626376068979126946699341931774653738680427366020557826118814579112271560928840683792715730012404213015998604730767976772004481032752214211036729471395629_<165>

9×10¹⁹⁹+4 = 9(0)₁₉₈4_<200> = 2² × 2330439783309954565323049551440589270679863623506367_<52> × 1256129481116043115911625207392612652549024151731450961_<55> × 7686174215202168682107813533809309257012615695190661870275174851843373580168270886278623284623_<94> (ebina / Msieve 1.53 snfs for P52 x P55 x P94 / February 22, 2023 2023 年 2 月 22 日)

9×10²⁰⁰+4 = 9(0)₁₉₉4_<201> = 2² × 6229 × 38569 × 6347507699644997297857542678126971550503366876426650404674906810303002220745496369_<82> × 147544346126848455726487768204765098243570819019029263034881532911545721308126931814390054551244466823575721029_<111> (Bob Backstrom / Msieve 1.44 snfs for P82 x P111 / May 22, 2023 2023 年 5 月 22 日)

9×10²⁰¹+4 = 9(0)₂₀₀4_<202> = 2² × 2797 × 19932365729_<11> × 42387639460651587637920094980031534127_<38> × 952120624613247988262412834017514311992077257774242669383058711145589531103020982953567237842956637247290817581843479818858847666952737343483265515851_<150> (Dmitry Domanov / for P38 x P150 / February 22, 2023 2023 年 2 月 22 日)

9×10²⁰²+4 = 9(0)₂₀₁4_<203> = 2² × 409 × 1597 × 1097189514550009_<16> × 3932821409013481225593713_<25> × 22589297112843447980487463109097506610463720347780936898796653_<62> × 353399314200334961898591452619823102178019041409783502941779985421907314559464593571422820464137_<96> (Mehrshad Alipour / cado-nfs for P62 x P96 / October 19, 2024 2024 年 10 月 19 日)

9×10²⁰³+4 = 9(0)₂₀₂4_<204> = 2² × 7 × 2063 × 21487 × 2411543 × 11081067514945409_<17> × 7291022018454169007093_<22> × 566519384036491542015202047295387615757_<39> × 1437638219317926110896164436311171299503_<40> × 4569619733150232781663698492275129030591732873947254991007222566649459423_<73> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:713461969 for P39 / February 23, 2023 2023 年 2 月 23 日) (Ignacio Santos / GNFS, Msieve for P40 x P73 / February 24, 2023 2023 年 2 月 24 日)

9×10²⁰⁴+4 = 9(0)₂₀₃4_<205> = 2² × 13 × 373 × 285949 × 3610217953_<10> × 538319565093228015289_<21> × 59463255204419226019360609_<26> × 455149146550387673310353828514601_<33> × 761294848314218995542522347666182371885109_<42> × 40524051826011268358177710480245195336724982377292921213834472913_<65> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2195844696 for P33 / February 22, 2023 2023 年 2 月 22 日) (Ignacio Santos / GNFS, Msieve for P42 x P65 / February 23, 2023 2023 年 2 月 23 日)

9×10²⁰⁵+4 = 9(0)₂₀₄4_<206> = 2² × 8287 × 42463 × 22671656009_<11> × 9535601826241945770346885867675616647240403411_<46> × 29447195849810525320563261885567056644117556851_<47> × 10043826664922473050753206367150369075420938797194652780966756730735513330112481158224591974129_<95> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1:2656774727 for P47 / April 25, 2023 2023 年 4 月 25 日) (Ignacio Santos / GMP-ECM B1=43000000, sigma=1:1733936055 for P46 x P95 / April 28, 2023 2023 年 4 月 28 日)

9×10²⁰⁶+4 = 9(0)₂₀₅4_<207> = 2² × 29 × 4813 × 2647009 × 6715421 × 17994464186983591714270079796914758509871701233_<47> × 240228428153014999176899015719092215728707015907463186502628489_<63> × 20978608443378905984907985274038463509574724218864541004052049774269905510885541_<80> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:1415708075 for P47 / March 24, 2023 2023 年 3 月 24 日) (Ignacio Santos / GNFS, Msieve for P63 x P80 / November 26, 2023 2023 年 11 月 26 日)

9×10²⁰⁷+4 = 9(0)₂₀₆4_<208> = 2² × 23² × 211 × 769 × 3419685023_<10> × 42815319168814409119608202613429232500127365923666865961080301263345567184293_<77> × 179032863857224743384658211623819305888539273419605602064172682346796294261495808457420121958251595179178012269969_<114> (Bob Backstrom / Msieve 1.44 snfs for P77 x P114 / July 4, 2024 2024 年 7 月 4 日)

9×10²⁰⁸+4 = 9(0)₂₀₇4_<209> = 2² × 51578753428877466541_<20> × 12148385734635829585813_<23> × 593972255186916226483506887965836769_<36> × 104504235144898495326044133603032914560162207961_<48> × 578486266198854373534914092528649337903299067650091038106897645685080987009402367833_<84> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1585942978 for P36 / February 23, 2023 2023 年 2 月 23 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:584249967 for P48 x P84 / March 5, 2023 2023 年 3 月 5 日)

9×10²⁰⁹+4 = 9(0)₂₀₈4_<210> = 2² × 7² × 3497364139_<10> × [1312942133616895747274775886087767231620538896317863426767855647761064683721263046032391377686821382928070449962163721414668791396284381783065326678700802926402432140046481970499410406847263783922291_<199>] Free to factor

9×10²¹⁰+4 = 9(0)₂₀₉4_<211> = 2² × 13 × 946244438571713_<15> × 2549983636237321_<16> × 24814332610944685165335989_<26> × [2890652147482878616277175640459880489735984848769477557518670048970363795464658372805595915486624229653925968724325292213653841420315168310001798124330441_<154>] Free to factor

9×10²¹¹+4 = 9(0)₂₁₀4_<212> = 2² × 26687 × 2373432019012459_<16> × 355226997891246322204760416315686821943226407185911343936150185554225798218788031204761634127000960553266467509384745892260914245024347036885404370854298824710563413670056775874023406330559997_<192>

9×10²¹²+4 = 9(0)₂₁₁4_<213> = 2² × 541 × 1201 × 31189 × 530989 × 963241 × 741439609 × 3101203957_<10> × [9440917412279355163574015289823742525814049851034780276216411778488979668854488409397214551539430419477659561622760863300502951764328124739071293993783307583689524616314177_<172>] Free to factor

9×10²¹³+4 = 9(0)₂₁₂4_<214> = 2² × 19 × 1396237 × 696983810884567_<15> × 121687812437679664952750853771735218610580504532114156601615962265140080225445124137486006442088694092553798359301699166764856010959830817216037850818920012085556742620350377624374112257926801_<192>

9×10²¹⁴+4 = 9(0)₂₁₃4_<215> = 2² × 17 × 3004603328878335284856980278819250439637_<40> × 440500547624301475970306364564302191065512937375102128640960488852468886126745562017599315392561126884491196919738331855780901740269947617942470204686553341418901442336260269_<174> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2705403099 for P40 x P174 / February 23, 2023 2023 年 2 月 23 日)

9×10²¹⁵+4 = 9(0)₂₁₄4_<216> = 2² × 7 × 653 × 2027801 × [24274258021590742249642804320183690029563997522920501801419065809299110952570453781526236703776382386572012295266415759599795490821835020171284297796773909702440685081569691692921818321736574299593868435531_<206>] Free to factor

9×10²¹⁶+4 = 9(0)₂₁₅4_<217> = 2² × 13 × 97 × 6529 × 16981 × 4896394062229_<13> × 8387625691586263735075038403010941_<34> × 9006842487843332746602118218579181_<34> × 43508041010264742046361284949678022797724758041025018895629299306113198490582103925917557225748390927640443254840831243029301_<125> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1162832471 for P34 / February 7, 2023 2023 年 2 月 7 日) (Dmitry Domanov / for P34 x P125 / February 22, 2023 2023 年 2 月 22 日)

9×10²¹⁷+4 = 9(0)₂₁₆4_<218> = 2² × 241 × 3637 × 8087 × 4288631728233530663_<19> × [740143581156407953809691790788880411688380995641020648888558633814882983207785689236631589971212372237090985806987890294754405747224498550796425935000023292900470103488548455506016227852013_<189>] Free to factor

9×10²¹⁸+4 = 9(0)₂₁₇4_<219> = 2² × 34729 × 1011704273_<10> × [6403783717991188343250210451184939425937694716687234434267504503501313315969072981225917548945034324906959707885157366413760881469735893456323269803734938655026207940469902257410370101040497138634429409353_<205>] Free to factor

9×10²¹⁹+4 = 9(0)₂₁₈4_<220> = 2² × 831079573 × 155095285223_<12> × 9106328488313879762441_<22> × 6612392942577767579188289_<25> × 289894081126589584541507641676643787255632828810231287887744887046393907096456547925565029710486663714936270383225255658934220073791614734130392368412131_<153>

9×10²²⁰+4 = 9(0)₂₁₉4_<221> = 2² × 61 × 157 × 181 × 45636988549_<11> × [284418261152564465034424644053487247938929062592389916587928168856028400310519149843513625827942744979514831906456322794480195792656775297156413178247767271820315887788057074172694882176555205237023568977_<204>] Free to factor

9×10²²¹+4 = 9(0)₂₂₀4_<222> = 2² × 7 × 32142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143_<221>

9×10²²²+4 = 9(0)₂₂₁4_<223> = 2² × 13 × 882517 × 25715886201183002809031646682985053_<35> × 52768278413021895575619008013378800517797209_<44> × 4550808745304672608135468961541887028791100792967597_<52> × 31757995380502384583889807257660992134637233339895191200228822511757438304423426422849_<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3924372528 for P35 / February 7, 2023 2023 年 2 月 7 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1:341716508 for P52 / May 1, 2023 2023 年 5 月 1 日) (Eric Jeancolas / cado-nfs-3.0.0 for P44 x P86 / May 11, 2023 2023 年 5 月 11 日)

9×10²²³+4 = 9(0)₂₂₂4_<224> = 2² × 263 × 3517 × 17834481761_<11> × 1363935732736871439970253299429082198781765009897232464382680148468461500990690782417982570255160945000474625664592097454346177410769452835467365715502957929333248430951501992969071741783700333543811265743971_<208>

9×10²²⁴+4 = 9(0)₂₂₃4_<225> = 2² × 5891603293_<10> × 437944111998700427637474961_<27> × [87202779949664831942915214275961159477900888875012632811660412376616275485652996347497463171804192045652305713923232433148364259524950063221301646352286379049160047198875559977440325721637_<188>] Free to factor

9×10²²⁵+4 = 9(0)₂₂₄4_<226> = 2² × 401 × 74236454670585101988178582943_<29> × 75582442527415084847638450740581754102246215764982424897156879555612556253460540927174941674735135428687684611774344755035770544674646207132446587265846527446538507192758570409418000181310753007_<194>

9×10²²⁶+4 = 9(0)₂₂₅4_<227> = 2² × 113 × 149 × 160930945266725142843706381064622002666379001_<45> × [8303826070426498502352770626122081851414346393111448846733179626537345385843238391721244381840468270844407374233420042691721785592225620150599177018654093497069935427194751438773_<178>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1257693546 for P45 / April 2, 2023 2023 年 4 月 2 日) Free to factor

9×10²²⁷+4 = 9(0)₂₂₆4_<228> = 2² × 7 × 89 × 19739 × 15470796729891277_<17> × 1182651111853501894967847873023237388024950877923962135508425255683337041648838103033676048713728940979493444159581638766701117574781754463470923177105460238120697059840770952133738008985167584639536570129_<205>

9×10²²⁸+4 = 9(0)₂₂₇4_<229> = 2² × 13 × 709 × 60373 × 331060777 × 2544716617213_<13> × 4799577600933837182116430811211543694775267788207922338149176968146758671386214698912394116180642102985461668887454005781183836959262344811572238656964227874072734994818374537084896246638008485387161_<199>

9×10²²⁹+4 = 9(0)₂₂₈4_<230> = 2² × 23 × 19236893903_<11> × 50853369286018533555788454258698757961285743791452291800487449673048095974081394162550335911476641703955606124277464062055245921321931317451606429301795185340222799716178230378774814449609649849148179203370510226044329_<218>

9×10²³⁰+4 = 9(0)₂₂₉4_<231> = 2² × 17 × 144953317 × 7177795741709718990341612809_<28> × 3942563060027382660408683496841_<31> × [3226529906736132114205563187899216894841051873456570464282112477737769811577466772906981667616076635822537335940594843702159387693151944630794562624354729907506061_<163>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1419921372 for P31 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²³¹+4 = 9(0)₂₃₀4_<232> = 2² × 19 × 47 × 647 × 1525751860934641_<16> × 9786379984243385885596037_<25> × 260807932123104882444173533984600803548209165917978566693595125760315309435990443555554267204707960844785951827868006253178184150579934347257093911658234763934573304948636268113947345943_<186>

9×10²³²+4 = 9(0)₂₃₁4_<233> = 2² × 510965095734280883886769897_<27> × 745163692611926069027557431522448994797_<39> × 9554096646747576409450181758761426201396084841_<46> × 6185146169570124163762679071869960066936943681229148384642458181187123941049260174546964041084041959381282166443979300629_<121> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1995335522 for P39 / February 23, 2023 2023 年 2 月 23 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1:2568867642 for P46 x P121 / May 3, 2023 2023 年 5 月 3 日)

9×10²³³+4 = 9(0)₂₃₂4_<234> = 2² × 7 × [32142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143_<233>] Free to factor

9×10²³⁴+4 = 9(0)₂₃₃4_<235> = 2² × 13 × 29 × 60945201001_<11> × 26810005892878193_<17> × 10175010615856112956066309030009_<32> × 1299237963668373195315257973953141_<34> × 276300182386770467421798962554307298748331487793984185051528443197861057884954839809977247731632934546607853069443603336553751887287294331189_<141> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:714168986 for P32, B1=1000000, sigma=1:2019604611 for P34 x P141 / February 7, 2023 2023 年 2 月 7 日)

9×10²³⁵+4 = 9(0)₂₃₄4_<236> = 2² × 331 × 102653 × 53240954820241_<14> × 155736596251022597_<18> × [79863136832376692467471004358870466379966487310379766539675001610418410635007644261843276429098173783244321401769681903233267381574073786920452947498221625315281983755987784052497317914209133790691_<197>] Free to factor

9×10²³⁶+4 = 9(0)₂₃₅4_<237> = 2² × 258403871101_<12> × 17189226827881_<14> × 154985410420940605273_<21> × 887988416530598874030974955901_<30> × [368068830954269353522351609081940787741903799463851508205433988607770890076211938368506023125399243779543411295839417188965491738952390192975515176366606913435577_<162>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1331499549 for P30 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²³⁷+4 = 9(0)₂₃₆4_<238> = 2² × 211 × 2801 × 1903594954081_<13> × 31972756936733_<14> × 2307564960595513681656416005074411904129_<40> × [27106808472571647571907694603537104094776705139662354560029174338570209558417639893567018117313672182225182991209741504079187686847129986349878540006484556351645469223_<167>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1215881205 for P40 / April 2, 2023 2023 年 4 月 2 日) Free to factor

9×10²³⁸+4 = 9(0)₂₃₇4_<239> = 2² × 1009 × 1435597 × 2514992819954400789255869_<25> × 974976145106804881252670285057_<30> × [6334729435883399113372584785839621297708511093021387832011307630034645143799448097364607873947919879319846504770217529300992697057332670327966227724199226603090469014114836089_<175>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2177935180 for P30 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²³⁹+4 = 9(0)₂₃₈4_<240> = 2² × 7 × 131 × 10601 × 3787922697112825778099_<22> × 102206018357425355966703800087_<30> × 888597678925315424543598450705701654983_<39> × 75637829575199974760121380851932098610001597683924683361887_<59> × 889497102833542266470984227149820902269051006887708827198915167005086039864043319561_<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:933949905 for P30 / February 7, 2023 2023 年 2 月 7 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=552586967 for P39 / April 11, 2023 2023 年 4 月 11 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P59 x P84 / August 8, 2023 2023 年 8 月 8 日)

9×10²⁴⁰+4 = 9(0)₂₃₉4_<241> = 2² × 13 × 20341 × 17707047064527705757_<20> × [480530241270103318612497081551885261626097665489016933590125387900204446313963558137391439086784310786924622761840670051179020555789758326548222706012086289551751974169630983688316807576094544673253244774171085775621_<216>] Free to factor

9×10²⁴¹+4 = 9(0)₂₄₀4_<242> = 2² × 197 × 2207 × 12126157 × 16871977886997982719849167_<26> × 2208860371678001809908115084099915047853045795376124310696890084107221243376718209166413565625850293_<100> × 114513453059898070258964451118831756960632188977892409198224810670271531090374551987802340649008011458957_<105> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P100 x P105 / August 20, 2023 2023 年 8 月 20 日)

9×10²⁴²+4 = 9(0)₂₄₁4_<243> = 2² × 1616931082555093_<16> × [139152498475353955848948388627697672096259088489135280159887748345113097472057955890628944623629362109099283489915466557734434053057259368204962693348115528192508644662837768931064060237261774407969263008178797498680903432632957_<228>] Free to factor

9×10²⁴³+4 = 9(0)₂₄₂4_<244> = 2² × 248441 × 642596321215780807_<18> × [14093569923273200298082454631634900210572132558990761844037442696955352726701979372134986306970016132361849604385092095060133835167928270023773292703673206043362410586760446247529338717806224880115711985972520928393251823_<221>] Free to factor

9×10²⁴⁴+4 = 9(0)₂₄₃4_<245> = 2² × 36545970713341_<14> × 275813004755714990551154449_<27> × 10239077412371869849901521600057_<32> × 764426944026352537541317794934990669_<36> × 15598886293075099741398773762968664134771522207978027568975509789_<65> × 18282596376406168984291299892467550975842051924137100693945274975750475797_<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:373692495 for P32, B1=1000000, sigma=1:3843364728 for P36 / February 7, 2023 2023 年 2 月 7 日) (anonymous / GGNFS for P65 x P74 / September 7, 2023 2023 年 9 月 7 日)

9×10²⁴⁵+4 = 9(0)₂₄₄4_<246> = 2² × 7 × 7979623 × 6018944887093321_<16> × 5012567605334538570427007371_<28> × 133512366828342093520617759054061727659325607687929074976155908781006224196528997154738489263049375553648760704465466200023755149738399009841983980246295919759483138485997892978656400733916218651_<195>

9×10²⁴⁶+4 = 9(0)₂₄₅4_<247> = 2² × 13 × 17 × 17419439894069_<14> × 76431836188745358476285472979324124053_<38> × 7646835800142377627736535155340993216544390827819984017196048363966758001703449220591403816666303783132586488701320733971603351768643408477951080740800400199116120762050316803263500034669601533_<193> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:587391204 for P38 x P193 / February 23, 2023 2023 年 2 月 23 日)

9×10²⁴⁷+4 = 9(0)₂₄₆4_<248> = 2² × 59 × 241 × 113371 × 108589737682969_<15> × 132391619829289253_<18> × 1133977623712721521752533_<25> × [856165496443213505456206356134514337668614027723867047870998879894789865699160765593332079855924743073926205855327129215437909346341631809526955217136013343140022332221779308384153529_<183>] Free to factor

9×10²⁴⁸+4 = 9(0)₂₄₇4_<249> = 2² × 397 × 1213 × 644038380877_<12> × 138439571131999273_<18> × 5240336986445884257689962504743490259893082994207020181447232483231010059389113411382529317128430235153341192764615480210043873101456249532517403787888322103719520350100978172612772157137873692309826560500991641221_<214>

9×10²⁴⁹+4 = 9(0)₂₄₈4_<250> = 2² × 19 × 1113261648665564245751109900650410791037_<40> × [106373064026347235884919959911603663665614480043583117323104168438589182881080646948411847555808992666142568436707818939826819293639970448534267564528828898630821208610143098297083056250449518292102892321333367_<210>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:643464522 for P40 / February 23, 2023 2023 年 2 月 23 日) Free to factor

9×10²⁵⁰+4 = 9(0)₂₄₉4_<251> = 2² × 17414832632993_<14> × 372321663974751917628648637_<27> × [3470123298996082198250827786276306586184806898414107377309585838623018809594155238376597189566943515723809929169240745593058743391057998572340534835064318151194779096480030644250055481097818669230600452206707061_<211>] Free to factor

9×10²⁵¹+4 = 9(0)₂₅₀4_<252> = 2² × 7² × 23 × 81505447 × 4173459255667201887890730418210392624287983_<43> × [586915785805385754569869238612736446015934360614695334635278971541873531353418878709020929831728344556740574759634382688814928447231745780162168565348997173915647710806094973252357737922993876972863_<198>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:447836952 for P43 / March 25, 2023 2023 年 3 月 25 日) Free to factor

9×10²⁵²+4 = 9(0)₂₅₁4_<253> = 2² × 13 × 88789 × 71003591432867462831851520407827601_<35> × [27453624215372286913780905066591152858437927409409588576075594642936969406246954801651271318682907319706117445966173634889522756741204240745302141023865680309579148101325555149154269649263435160170076727346994593_<212>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1172153485 for P35 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²⁵³+4 = 9(0)₂₅₂4_<254> = 2² × 154145553106155802086285487_<27> × 145965936393279337386370806445620212079411105700577345687897788896233523336518341400296365047419735544038407259457602281533819063337578596860681815856554907815151145947229499301107831615276536705779082084693360548286596207097423_<228>

9×10²⁵⁴+4 = 9(0)₂₅₃4_<255> = 2² × 277 × 1801 × 959510096875266724874093053_<27> × 470045053836259496180268315083912893608470596198684881801041725949327692683140765864948654152637520502951923940953097121692182217054585439686725347747404728085530557482476795354151320504321034377657682092209196377839756921_<222>

9×10²⁵⁵+4 = 9(0)₂₅₄4_<256> = 2² × 170447 × 4655667155339_<13> × [2835379743744986422110082467571193036754474741567560694930513645281765914162367605301477761585984351996953601656831133862909780256682463100165678604217558655983114406952132191262442992574546752076607578979622846111751380293070726436921197_<238>] Free to factor

9×10²⁵⁶+4 = 9(0)₂₅₅4_<257> = 2² × 1237 × 6313001788365912064895521_<25> × 447013384771107164431428961_<27> × [6445496529020831459435607502650462556615559794652999598508542006838690620958510151204727609018703231322882551942097339499794866389512903878464815711786289253307359125363384152221121375673541334729940733_<202>] Free to factor

9×10²⁵⁷+4 = 9(0)₂₅₆4_<258> = 2² × 7 × 3169 × 209173 × 30800829762281_<14> × [1574324294265020163438431642283708245218055804133730333457648850530227356822813263610422962003983275673977999156591523723431071752315821041364876547593819346704377404686164224527848164267516008401401109264465184447254138291724644308419_<235>] Free to factor

9×10²⁵⁸+4 = 9(0)₂₅₇4_<259> = 2² × 13 × 2393 × 14471861 × 15354637 × 22502929 × 7639722659695626938382775007293_<31> × [1893284537804102142821519339172956802785711317217388713040893709650954417775697776021032451958935967247807553701604092927049230445717662535388904978600976488487696745482809423997386906241046378529287441_<202>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:233173979 for P31 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²⁵⁹+4 = 9(0)₂₅₈4_<260> = 2² × 131449 × 503946973 × 3756260957_<10> × 1053928781366101658023_<22> × [85797250366633235611425323199567853836515927858690697327368583630767684503544197203060555553590648644705478016313710810108873491959005769046807508433950928157573354215576862402882893037925394602977645182673432600983_<215>] Free to factor

9×10²⁶⁰+4 = 9(0)₂₅₉4_<261> = 2² × [225000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<261>] Free to factor

9×10²⁶¹+4 = 9(0)₂₆₀4_<262> = 2² × 17971 × 7180151094860357_<16> × 1594209780912243101674890968001432871017391463_<46> × 10937831312504410085986849848626335440928380308641015119598391910098092692619156983477732710001014676112038050207873999451328588836348791180500198150295463632075622161513997859085640963700335176041_<197> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000, sigma=3:4116664113 for P46 x P197 / May 2, 2023 2023 年 5 月 2 日)

9×10²⁶²+4 = 9(0)₂₆₁4_<263> = 2² × 17 × 29 × 6361 × 16243748023453_<14> × 32972208450593_<14> × 900851341923461_<15> × 2564363046209122059440559622695239066413_<40> × [5798868798622347079873908175925697033990805271729030137407745630161978992449280277200315377687432438411991364079928382250244663160459538734136987493627421283136451137520744721_<175>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:485251130 for P40 / April 3, 2023 2023 年 4 月 3 日) Free to factor

9×10²⁶³+4 = 9(0)₂₆₂4_<264> = 2² × 7 × 367 × 1609 × 6299 × [8641532376029966187897197087322782097861199386586592990458982156212674351959050036083200441585653489012115815109369542576452074480326417181614483159623841329978252678527195687749032042476706226859736529128234652757302037545182263070030714251710623950819_<253>] Free to factor

9×10²⁶⁴+4 = 9(0)₂₆₃4_<265> = 2² × 13² × 142189 × [93633188695719227941508470620048546935674956505303113311847082770615208751448869558189926475474908573433451209888530313079004230597153775783303005196725202113480012289668126942134398082791797116771947130456957842717965890969103919148199323502292410955149661_<257>] Free to factor

9×10²⁶⁵+4 = 9(0)₂₆₄4_<266> = 2² × 19094011 × 133840312699_<12> × 135152039819_<12> × 1493272727001729001_<19> × 509640488957527565837_<21> × [85599799081522568235843450625536741770657392407535291729008490551464995369020512006183671297542673965692640008261009869363116747587582027316025107298963787716286873843724817189185701111055024985903_<197>] Free to factor

9×10²⁶⁶+4 = 9(0)₂₆₅4_<267> = 2² × 2072429 × 978537057264577797092652999915527906330297_<42> × 110949558962301522807162463587149182310052976555338016104713505217951853552190225271150492769822340403407835823937641754035932835907651368307394770377937386759209737812965061356698644031021663824189966122059463649182477_<219> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:2851930598 for P42 x P219 / April 8, 2023 2023 年 4 月 8 日)

9×10²⁶⁷+4 = 9(0)₂₆₆4_<268> = 2² × 19 × 211 × 23063 × 24176969 × 103067137841_<12> × 44804030700129872277265262087_<29> × [217967381615663202525682899800058534315429979120139789717109119148824986362482020835149124276982000770186216417940731798502142051768262109521928133913452741171635477731444198501892481047754510302599516584771848961_<213>] Free to factor

9×10²⁶⁸+4 = 9(0)₂₆₇4_<269> = 2² × 433 × 104089 × 12044846929_<11> × 4993559248669_<13> × [8300003838291224350004244238390332614532902926491281785171903368750994622945512646608555077010606669654293932712690901948239258959427852538141590360822926362976725457945852493203061516646338437961062400198653836974398234252408226912990973_<238>] Free to factor

9×10²⁶⁹+4 = 9(0)₂₆₈4_<270> = 2² × 7 × 971 × 4995299 × 752660653 × 2230114811_<10> × 36844824647825172677_<20> × 783487370646575587926281_<24> × [136763066632749918981383724359781698757792615918541186180603154287363513810180356617885995852937906764762203192288550806152427988286552428797882703578925196836715400293484975715152081302661763648877_<198>] Free to factor

9×10²⁷⁰+4 = 9(0)₂₆₉4_<271> = 2² × 13 × 9279268489_<10> × 2314009802354162365153045497733202317_<37> × [8060467487697403719428272193293092560182835076938787492002899363511519422292369282902498112574394173458710314859805974249306922786816680639268466832798378075989356744921344490557921902618914435584930460157530815702522310929_<223>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3083398883 for P37 / February 23, 2023 2023 年 2 月 23 日) Free to factor

9×10²⁷¹+4 = 9(0)₂₇₀4_<272> = 2² × 89 × 105379 × 58337077 × 2545959161_<10> × [16152596363404287232930169293860353571500337237433245080872932682386135512291917071530885782985102685357025431400562856732519501367670178665007410150070080626771797928302698074750183149279893469296424083052199892346068528052910669004013038751675343_<248>] Free to factor

9×10²⁷²+4 = 9(0)₂₇₁4_<273> = 2² × 57955470169_<11> × 15051428417498950025509_<23> × [257935053618029068595620744199562175172796904727192668098490383659867778611982503370462354636992285733688932911784190700475775974102202297613984984685369846750246759544052365463418644890636467912574598111988389633079285546836859283967851381_<240>] Free to factor

9×10²⁷³+4 = 9(0)₂₇₂4_<274> = 2² × 23 × 5779 × 3769085459_<10> × 233189493447235567289503_<24> × 69830283216663513690332465405949010314857444143_<47> × [275812040047510746131112821423168559971357591299883659926394178247416235414589894336649590168973165974666746248554377189311272953782725834715580254234037132741900995063516222885798179125823_<189>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000, sigma=3:4032334920 for P47 / April 29, 2023 2023 年 4 月 29 日) Free to factor

9×10²⁷⁴+4 = 9(0)₂₇₃4_<275> = 2² × 11578637656441_<14> × 711575471404349_<15> × 4515253622507744273_<19> × 244446581884357612158498238828525833668671009_<45> × 2474218028438628350326694683713182684651590721674446677850888494622108101366371525768391810882776214692825657680808595455291866851649130067740594323795977160418014459910302293231422477_<184> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1991065915 for P45 x P184 / February 23, 2023 2023 年 2 月 23 日)

9×10²⁷⁵+4 = 9(0)₂₇₄4_<276> = 2² × 7 × 463 × 743693 × 1290293618681_<13> × 31206715971134860285523767_<26> × 77211124911610045534757503_<26> × 30025710702065910716436225124452703292679218018085824476854598857283797895177868882415135887447694638982694470696851818569134285073876339360710162519549119700190835503482588267913718130101139673308009917_<203>

9×10²⁷⁶+4 = 9(0)₂₇₅4_<277> = 2² × 13 × 35617 × 943777 × 3065221 × [1679773199715673612308751918518493874964621361769713671700082409610895206058615010760045559727599082669895645812205632865563227933637211039593396814356339166495383693959459167118631400219262373987937869781291795207672347093728984450740325516365676916805272193_<259>] Free to factor

9×10²⁷⁷+4 = 9(0)₂₇₆4_<278> = 2² × 47 × 241 × 25935059783_<11> × 19604828669567_<14> × 693628449510419023_<18> × 11926571394995888628357859_<26> × 1297892854307333615007238740019_<31> × [363861379396437901677284409020868934547046599664731930670372768801422551429806231936066371991877255132928562866828464288046194370912886452360228962439292171646667293366841106401_<177>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4171076343 for P31 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²⁷⁸+4 = 9(0)₂₇₇4_<279> = 2² × 17 × 853 × 997 × 490368281209_<12> × [31737085114468449668873463933189226605351317695860271353529318338291278385867021465793014779455878218623041837559899692251103723707282552159211073196696835056384882797720060990495665090397373535636165661304898120144562176523426524237477031807175467079098997937_<260>] Free to factor

9×10²⁷⁹+4 = 9(0)₂₇₈4_<280> = 2² × 263739782019164518063517_<24> × [8531136193312334224652320799821602269098724917740122842789705444804857452952871486478215146194721397836909711350710313948911634952657103813209921697955860731458706321814598490715396455128692338965306897512443243367203617500574821032461635458516453522460853_<256>] Free to factor

9×10²⁸⁰+4 = 9(0)₂₇₉4_<281> = 2² × 61 × 313 × 70117 × 127067018641_<12> × 15208697837441984055361_<23> × 8696813312644028237120416836395702683529870216996128866010938436054801726680490337536790424046783919767437376704443321282447531637943744836912279644830261547641344107244862610720338533980679761475253386574334883671693200863855318526686121_<238>

9×10²⁸¹+4 = 9(0)₂₈₀4_<282> = 2² × 7 × 491 × 2024133031074339971_<19> × [32341781145669714361441309052088687768221933490187612108935589384015912772844098151199177139530844329790567480177924140272727313002392015263944569920162659243392446064927524730856391261609136350924048019479068681445106547251186339217666365298121769795850262263_<260>] Free to factor

9×10²⁸²+4 = 9(0)₂₈₁4_<283> = 2² × 13 × 617 × 280513651664380999875327265926941777833187881810248098740805385862111956115197606283505797282134397207330756763495823463408552549557411794040643311307816980426380750529859119810497444208951502306445580351577110086024186510410173295100361550928811868844283755142750280513651664381_<279>

9×10²⁸³+4 = 9(0)₂₈₂4_<284> = 2² × 677 × 3110293 × 12335090237263_<14> × 314736554615557_<15> × [2752346004205957613709942311846612006291340934148032014869894884437317801601306715948888024361996422648807130539837617516280957136178859079427627495858432441876569581207429676397933881171649970624389802945522092291493273011022646775032622685122251_<247>] Free to factor

9×10²⁸⁴+4 = 9(0)₂₈₃4_<285> = 2² × 30014776665044257_<17> × 3551342254637858603700885313_<28> × 2903631528418860326264757612152161_<34> × [726964778483083203554603564094113732736063016221840698183192473630442740999876922277396725415046212392492086009432411977288619889136130259328017076048427986324425255942436775620162408552511963092410863080001_<207>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:738251334 for P34 / February 23, 2023 2023 年 2 月 23 日) Free to factor

9×10²⁸⁵+4 = 9(0)₂₈₄4_<286> = 2² × 19 × 70281865072441906150893851_<26> × [1684944651220031583898477255396280825128855903942454932098430576099609048917692018976951328868472649718625125576877822338424809379240167194216716701226599704786357565827166277136077014401138491679802973046209242072850732209343337659626370207309718838762844929_<259>] Free to factor

9×10²⁸⁶+4 = 9(0)₂₈₅4_<287> = 2² × 16131392393_<11> × [1394795901794786872369647898874962293529276248633374868522423648913094789163498590744373073164509438884616437214205703687391543820590515592698222947504987891345009699188463600595274416867258211267045210484701647539917975882815040267677406562482594245080676341092833027088835257_<277>] Free to factor

9×10²⁸⁷+4 = 9(0)₂₈₆4_<288> = 2² × 7 × 19120546567_<11> × 4865703322270462246894321_<25> × 8891237311994269205862621613095609292813_<40> × 38857633568424298041185555546751649988507917663649767894612221644723475957907129260952893892965006297699777773733796772340862613449027036585038031134628286293744768951236338085707150823877867815885744773793812773_<212> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2337342847 for P40 x P212 / February 23, 2023 2023 年 2 月 23 日)

9×10²⁸⁸+4 = 9(0)₂₈₇4_<289> = 2² × 13 × 910177 × 549176372027398224913_<21> × 845664526945876143373549153_<27> × 57979229101933667896150044518650357_<35> × 7062052064511401525144962709842151256099565917157482179515915274284786503797730240934864901985064912527508634189361049983767103020504859763115062490541201581503736290374652608219281094108723868863937_<199> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2298457647 for P35 x P199 / February 7, 2023 2023 年 2 月 7 日)

9×10²⁸⁹+4 = 9(0)₂₈₈4_<290> = 2² × 2605980019477_<13> × 10426807715991211_<17> × [828056693106269518648450256270991802061420646712030022768748427772335015374182903639767301216720041645428311183722841187830502058229611190099786320898123100037890496788952388734718058701301459122646123494373925812766978847016985605223488973076221222865590988983_<261>] Free to factor

9×10²⁹⁰+4 = 9(0)₂₈₉4_<291> = 2² × 29 × 405701 × 2329613089_<10> × 3592967533_<10> × [2284764022628432968244866424813636254136919462153837062932490120758113497068003984549266267621087374119655775632879530580962436075000305717346297726853212076565981790924976457645511303366806157007930594934278637213502383599846964768622438599351296970237182969910837_<265>] Free to factor

9×10²⁹¹+4 = 9(0)₂₉₀4_<292> = 2² × 2676291134773_<13> × 297306202036098523842954128857628879069871444569_<48> × [2827777233262944355113603877829824835018689683656436962303290762941938050718025741379578685621114472036963245048693974597549611779693967538587583250721432594497404775505276763751476045728529021173533345149387818556417101000515356773_<232>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000, sigma=3:4153646447 for P48 / May 13, 2023 2023 年 5 月 13 日) Free to factor

9×10²⁹²+4 = 9(0)₂₉₁4_<293> = 2² × 109 × 1297 × 96394440253_<11> × [1651064570984140733142985397766893105119281763656030378840382180495847031375608126284429162718495517058032750140076155786357190775833834220041005703346127232612171066192044500708401153885916635136824044350503744954804132477282252562399693957464427117812036942803293784830732729_<277>] Free to factor

9×10²⁹³+4 = 9(0)₂₉₂4_<294> = 2² × 7² × 2767 × 17887128818237607143_<20> × 1375401821262152230468345873383055385783_<40> × 67453897628601415643245248020812312518810698267233344286188826826164815816285189929895297678716799213725138318671998666747381223727216547452038895298100816522797709110614622455750390164098023333988753790956512469655763179104980863_<230> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1710949815 for P40 x P230 / February 23, 2023 2023 年 2 月 23 日)

9×10²⁹⁴+4 = 9(0)₂₉₃4_<295> = 2² × 13 × 17² × 254929 × 594527823140937690464417_<24> × 8742077624041649548938108217030830061109_<40> × 451996673263906618852590047562373073146957531190045520016184781817855688690833133934170225923448716016333916491688868372453145406510378726051086213262678016393510747217563012920998829282234889048787663818136632252529604289_<222> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3441616125 for P40 x P222 / March 22, 2023 2023 年 3 月 22 日)

9×10²⁹⁵+4 = 9(0)₂₉₄4_<296> = 2² × 23 × 1543 × 28782331 × 1159936451_<10> × 7819943561_<10> × 2428426579999700331451408198566456403832737412525917924470440088783337206447509550005307179559526873126492627989372662639532000491842297717371488832028801856031015937817203477586842313212002032782804571548470434256999998165873639957032300749900973047755992866451049_<265>

9×10²⁹⁶+4 = 9(0)₂₉₅4_<297> = 2² × 66262973629_<11> × [3395561467853122689203604379340674095542256969120905070512769033883648379120948429719919716040668724755518774093922575658093395704706067168762315431402445429785678717808331456823700223319176450658771566673180881313146418196945418584242088119283850620020595212458179492848971611913592469_<286>] Free to factor

9×10²⁹⁷+4 = 9(0)₂₉₆4_<298> = 2² × 211 × 17383 × 14814788028753653_<17> × 6474960964946865011_<19> × 539845247956862606885201_<24> × [11846047052789672144446385098388296336199949240099027650718343712162552942011063676657023884923579833547577900842277178188662667151878125973832054332066777151190777955855018005233851259997976377932730011915322102003928820695528856019_<233>] Free to factor

9×10²⁹⁸+4 = 9(0)₂₉₇4_<299> = 2² × 157 × 3191381 × 1325514406677093291971148077173_<31> × [33878155590266222284344660494599223572921239966890592478032988623829467451065620926199472152364419337687830665404259307883709054000500802527176649678127867556062192553852351494753276009019545410240107085740902989449755762607472214046258293084717748595858803261_<260>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3496064260 for P31 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10²⁹⁹+4 = 9(0)₂₉₈4_<300> = 2² × 7 × 167 × 842249 × 173724281 × 93855403896666083996717284201_<29> × 1283982413926055946805323978499_<31> × [10915625358400199764321474257068032916504695620092887281360187661544422983899933782286684327865249074896993314936677280895441410437781227028494628211846966710676034866865158737828068818788923888635895620151523586846490217859_<224>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2724924040 for P31 / February 7, 2023 2023 年 2 月 7 日) Free to factor

9×10³⁰⁰+4 = 9(0)₂₉₉4_<301> = 2² × 13 × 7593930608112288378757772893598607337_<37> × 177374100713495489265820882473538490653_<39> × 128493847933158246960868953387337582674545161378965859345030290753916805909152866937543772961595529513974359078562210442793964482600679436040819351439528815504038633083035251524008316350197632316316747997796389526199812626657_<225> (Dmitry Domanov / for P37 / February 20, 2023 2023 年 2 月 20 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:189441135 for P39 x P225 / February 21, 2023 2023 年 2 月 21 日)

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