Table of contents 目次

  1. About 500...008 500...008 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 500...008 500...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
  3. Factor table of 500...008 500...008 の素因数分解表
    1. Last updated 最終更新日
    2. Range of factorization 分解範囲
    3. Terms that have not been factored yet まだ分解されていない項
    4. Factor table 素因数分解表

1. About 500...008 500...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

50w8 = { 58, 508, 5008, 50008, 500008, 5000008, 50000008, 500000008, 5000000008, 50000000008, … }

1.3. General term 一般項

5×10n+8 (1≤n)

2. Prime numbers of the form 500...008 500...008 の形の素数

2.1. Last updated 最終更新日

November 14, 2021 2021 年 11 月 14 日

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

No prime number of the form 500...008 exists. 500...008 の形の素数は存在しません。

3. Factor table of 500...008 500...008 の素因数分解表

3.1. Last updated 最終更新日

November 27, 2021 2021 年 11 月 27 日

3.2. Range of factorization 分解範囲

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

n=203, 209, 221, 224, 226, 230, 233, 234, 235, 237, 239, 240, 241, 242, 246, 247, 250, 253, 255, 256, 257, 258, 259, 260, 261, 262, 263, 265, 267, 269, 272, 273, 275, 276, 277, 278, 280, 281, 282, 283, 284, 285, 286, 288, 289, 290, 291, 293, 294, 295, 297, 298, 299, 300 (54/300)

3.4. Factor table 素因数分解表

5×101+8 = 58 = 2 × 29
5×102+8 = 508 = 22 × 127
5×103+8 = 5008 = 24 × 313
5×104+8 = 50008 = 23 × 7 × 19 × 47
5×105+8 = 500008 = 23 × 62501
5×106+8 = 5000008 = 23 × 13 × 131 × 367
5×107+8 = 50000008 = 23 × 97 × 64433
5×108+8 = 500000008 = 23 × 62500001
5×109+8 = 5000000008<10> = 23 × 241 × 2593361
5×1010+8 = 50000000008<11> = 23 × 7 × 892857143
5×1011+8 = 500000000008<12> = 23 × 13177 × 4743113
5×1012+8 = 5000000000008<13> = 23 × 13 × 59 × 814863103
5×1013+8 = 50000000000008<14> = 23 × 509 × 3121 × 3934309
5×1014+8 = 500000000000008<15> = 23 × 62500000000001<14>
5×1015+8 = 5000000000000008<16> = 23 × 17 × 1185281 × 31017713
5×1016+8 = 50000000000000008<17> = 23 × 7 × 892857142857143<15>
5×1017+8 = 500000000000000008<18> = 23 × 297809 × 209866055089<12>
5×1018+8 = 5000000000000000008<19> = 23 × 13 × 54783317 × 877583281
5×1019+8 = 50000000000000000008<20> = 23 × 611441 × 10221754838161<14>
5×1020+8 = 500000000000000000008<21> = 23 × 23 × 157 × 293 × 59072439824087<14>
5×1021+8 = 5000000000000000000008<22> = 23 × 105367849 × 5931600634649<13>
5×1022+8 = 50000000000000000000008<23> = 23 × 7 × 19 × 373 × 125985204297607289<18>
5×1023+8 = 500000000000000000000008<24> = 23 × 12689 × 4925526046181732209<19>
5×1024+8 = 5000000000000000000000008<25> = 23 × 13 × 179 × 503 × 866693 × 616098795997<12>
5×1025+8 = 50000000000000000000000008<26> = 23 × 641 × 9750390015600624024961<22>
5×1026+8 = 500000000000000000000000008<27> = 23 × 197193181543<12> × 316948078584407<15>
5×1027+8 = 5000000000000000000000000008<28> = 23 × 5009 × 808217 × 154383543370542617<18>
5×1028+8 = 50000000000000000000000000008<29> = 23 × 72 × 12613 × 3412813 × 2963145990626321<16>
5×1029+8 = 500000000000000000000000000008<30> = 23 × 29 × 3821 × 616555753529<12> × 914813630641<12>
5×1030+8 = 5000000000000000000000000000008<31> = 23 × 13 × 251 × 1312183 × 145971656547052342969<21>
5×1031+8 = 50000000000000000000000000000008<32> = 23 × 173 × 1118081 × 299589553 × 3797810761889<13>
5×1032+8 = 500000000000000000000000000000008<33> = 23 × 3315815070782653<16> × 18849060838983317<17>
5×1033+8 = 5000000000000000000000000000000008<34> = 23 × 89 × 269 × 86054161 × 303365267044044581501<21>
5×1034+8 = 50000000000000000000000000000000008<35> = 23 × 7 × 2225619629808779<16> × 401172388533370117<18>
5×1035+8 = 500000000000000000000000000000000008<36> = 23 × 6689 × 224153 × 7710161 × 142685489 × 37890558857<11>
5×1036+8 = 5000000000000000000000000000000000008<37> = 23 × 13 × 677 × 593851 × 1252200402449<13> × 95498525297699<14>
5×1037+8 = 50000000000000000000000000000000000008<38> = 23 × 61 × 268909 × 381017431151217039782304319049<30>
5×1038+8 = 500000000000000000000000000000000000008<39> = 23 × 2700208561<10> × 23146360211839947573590409041<29>
5×1039+8 = 5000000000000000000000000000000000000008<40> = 23 × 113 × 241 × 337 × 225085249 × 302557272230282447332369<24>
5×1040+8 = 50000000000000000000000000000000000000008<41> = 23 × 7 × 19 × 46992481203007518796992481203007518797<38>
5×1041+8 = 500000000000000000000000000000000000000008<42> = 23 × 44782009 × 156107089 × 71519348981<11> × 125005829581621<15>
5×1042+8 = 5000000000000000000000000000000000000000008<43> = 23 × 13 × 232 × 10510531 × 20490601 × 421989494111313605983823<24>
5×1043+8 = 50000000000000000000000000000000000000000008<44> = 23 × 457 × 18144898721<11> × 4654170052369<13> × 161944805215805257<18>
5×1044+8 = 500000000000000000000000000000000000000000008<45> = 23 × 127 × 383 × 893659373 × 163651686647<12> × 8785875038892233731<19>
5×1045+8 = 5000000000000000000000000000000000000000000008<46> = 23 × 3001 × 208263912029323558813728757080973008997001<42>
5×1046+8 = 50000000000000000000000000000000000000000000008<47> = 23 × 7 × 6158447059<10> × 67062352620853663<17> × 2161881972631149779<19>
5×1047+8 = 500000000000000000000000000000000000000000000008<48> = 23 × 17 × 10477409 × 1306765428017865121<19> × 268521807723422139377<21>
5×1048+8 = 5000000000000000000000000000000000000000000000008<49> = 23 × 13 × 2729 × 31698174326333238859<20> × 555774836850739698243607<24>
5×1049+8 = 50000000000000000000000000000000000000000000000008<50> = 23 × 2062069 × 3030936404164943074164831535705158265800029<43>
5×1050+8 = 500000000000000000000000000000000000000000000000008<51> = 23 × 47 × 23630171491<11> × 96277041250253<14> × 584510814405444450788921<24>
5×1051+8 = 5(0)508<52> = 23 × 2953 × 120098604558053239233169<24> × 1762295000130041915425193<25>
5×1052+8 = 5(0)518<53> = 23 × 7 × 99971 × 30963303741570354914623<23> × 288443427740745179642371<24>
5×1053+8 = 5(0)528<54> = 23 × 601 × 36541 × 2845935919267582681610213239831209134352354461<46>
5×1054+8 = 5(0)538<55> = 23 × 132 × 29120365037<11> × 22370232459949670209<20> × 5677092897507756742813<22>
5×1055+8 = 5(0)548<56> = 23 × 193 × 4241 × 14080388455143217<17> × 542300243479312531264905759358081<33>
5×1056+8 = 5(0)558<57> = 23 × 49477 × 85487 × 23605743141764801383<20> × 625977761738013366983430853<27>
5×1057+8 = 5(0)568<58> = 23 × 29 × 641 × 1077641 × 29244869 × 758187989253029<15> × 1407094621747089228332149<25>
5×1058+8 = 5(0)578<59> = 23 × 7 × 19 × 46992481203007518796992481203007518796992481203007518797<56>
5×1059+8 = 5(0)588<60> = 23 × 228115441 × 59371823432297<14> × 4614715659875691897991773196101111913<37>
5×1060+8 = 5(0)598<61> = 23 × 13 × 102931782437801<15> × 536183937776117<15> × 726781321951693<15> × 1198587141431117<16>
5×1061+8 = 5(0)608<62> = 23 × 24229 × 236641 × 898129 × 1213712474993248985506445234787437527749986621<46>
5×1062+8 = 5(0)618<63> = 23 × 19421009 × 2864115436121<13> × 19965610843459<14> × 56277540351111901759465985651<29>
5×1063+8 = 5(0)628<64> = 23 × 17 × 75617 × 549649 × 2523361695265454952523793<25> × 350547362854150918679124337<27>
5×1064+8 = 5(0)638<65> = 23 × 7 × 23 × 4931 × 139367 × 2176171 × 23313903287753489<17> × 1113399900404973597136430344007<31>
5×1065+8 = 5(0)648<66> = 23 × 174169 × 1407338089<10> × 7194173709654161<16> × 35442944703496575341206328595836401<35>
5×1066+8 = 5(0)658<67> = 23 × 13 × 487 × 39367 × 12252901121<11> × 204661642288920456665902682175805394046663032053<48>
5×1067+8 = 5(0)668<68> = 23 × 1753 × 171218793465932277375857441<27> × 20823161569722705841392749870580344137<38>
5×1068+8 = 5(0)678<69> = 23 × 150741734653<12> × 642403275287<12> × 11935810097954929<17> × 54073796438475601890990143779<29>
5×1069+8 = 5(0)688<70> = 23 × 241 × 2593360995850622406639004149377593360995850622406639004149377593361<67>
5×1070+8 = 5(0)698<71> = 23 × 72 × 59 × 5521 × 1443832806669062304779<22> × 271204738289481753607277615809764531092729<42>
5×1071+8 = 5(0)708<72> = 23 × 25632353 × 5141481809<10> × 1088433215372250304900753<25> × 435713937079756945367494985921<30>
5×1072+8 = 5(0)718<73> = 23 × 13 × 197 × 402176312654071693<18> × 606811707025195869733100967987152799068397889216837<51>
5×1073+8 = 5(0)728<74> = 23 × 6421 × 3121823429<10> × 3813802841<10> × 81754331909736608097228202896203657972761576020929<50>
5×1074+8 = 5(0)738<75> = 23 × 42841 × 81853 × 106367 × 14944144389277<14> × 11212639281391883316711590678585829788155746943<47>
5×1075+8 = 5(0)748<76> = 23 × 726395497913<12> × 323242476351103083843337<24> × 2661818556063822262206219955611272334721<40>
5×1076+8 = 5(0)758<77> = 23 × 7 × 19 × 363779472986623<15> × 568055771733516392783<21> × 227404581471196670129199222564748579933<39>
5×1077+8 = 5(0)768<78> = 23 × 89 × 1949 × 5669 × 4947589 × 9939130757084249173489681<25> × 1292497450739035464128408492529428821<37>
5×1078+8 = 5(0)778<79> = 23 × 13 × 2521 × 2441626699<10> × 7810602823482961996436261866190204204531911934894876286636168263<64>
5×1079+8 = 5(0)788<80> = 23 × 17 × 977 × 8409041 × 15549377 × 2877909076975622382457509355494071212401942158798988283167377<61>
5×1080+8 = 5(0)798<81> = 23 × 251 × 11161 × 22310185831354271115520000456912605826135472445849609357570167319254475691<74>
5×1081+8 = 5(0)808<82> = 23 × 181 × 409 × 2631422038017224819747881<25> × 3208393493270980047377344549495340940993712489489949<52>
5×1082+8 = 5(0)818<83> = 23 × 7 × 1264294395933857037681072628618691647<37> × 706209839835320813973093416745531390515730569<45> (Eric Jeancolas / ECM for P37 x P45 / November 13, 2021 2021 年 11 月 13 日)
5×1083+8 = 5(0)828<84> = 23 × 16073 × 18793 × 79614289 × 11359162755572913569<20> × 228796625972120356571081968760132207601248268449<48>
5×1084+8 = 5(0)838<85> = 23 × 13 × 4583 × 4074419 × 2274147274326503<16> × 2837801620569554566878070691<28> × 398951866017934974643388013437<30>
5×1085+8 = 5(0)848<86> = 23 × 29 × 701 × 700834349 × 22816748721783045626032416455186669<35> × 19226262288367118694013750002097187249<38> (Eric Jeancolas / ECM for P35 x P38 / November 13, 2021 2021 年 11 月 13 日)
5×1086+8 = 5(0)858<87> = 23 × 23 × 127 × 1579 × 25733 × 4927463033294801<16> × 106869194385229453138839818261427533834996110283940929866783<60>
5×1087+8 = 5(0)868<88> = 23 × 22721 × 48497 × 803041 × 706317525485996018967290396176013138751466346329411213347005179159559153<72>
5×1088+8 = 5(0)878<89> = 23 × 7 × 12889 × 234167 × 2384659769<10> × 248704736806413213527<21> × 356289026503509011413<21> × 1399987420153846424293859419<28>
5×1089+8 = 5(0)888<90> = 23 × 641 × 97503900156006240249609984399375975039001560062402496099843993759750390015600624024961<86>
5×1090+8 = 5(0)898<91> = 23 × 13 × 40783510309644469092296157520730820853<38> × 1178832393580252074039705273928770598180674374001809<52> (Eric Jeancolas / ECM for P38 x P52 / November 13, 2021 2021 年 11 月 13 日)
5×1091+8 = 5(0)908<92> = 23 × 2335776569033<13> × 319758720532764543441953329<27> × 8368089611512890859812994266001272505599269567617993<52>
5×1092+8 = 5(0)918<93> = 23 × 811 × 23010842075561836874597134801<29> × 3349088710658183271083121997681184952815202177532030086537491<61>
5×1093+8 = 5(0)928<94> = 23 × 8849 × 14969 × 318792215532884969<18> × 14800804625937079098898491886118158646246023685169128818212064285009<68>
5×1094+8 = 5(0)938<95> = 23 × 7 × 19 × 167 × 1602851 × 20367691 × 22809862277<11> × 33194796710517634133<20> × 90526113218549664659<20> × 125750698064305060099458529<27>
5×1095+8 = 5(0)948<96> = 23 × 17 × 401 × 68897 × 953984497 × 35351165380225393<17> × 3945857155483926662309287129505606143812255838436936903321569<61>
5×1096+8 = 5(0)958<97> = 23 × 13 × 472 × 1721 × 6173 × 1193417268200811637<19> × 89323166443868133936739<23> × 19217963940699727616942233534197475488327887<44>
5×1097+8 = 5(0)968<98> = 23 × 61 × 149 × 51427436521<11> × 13371158506886182168405498780923225927057657216314427531163417949969314632587200729<83>
5×1098+8 = 5(0)978<99> = 23 × 157 × 743 × 11731 × 45672682137195737260277071638122966149335021715252105229120112029813174300654647891349521<89>
5×1099+8 = 5(0)988<100> = 23 × 241 × 6486935848076218529<19> × 1915250597685614658826993193<28> × 208736196265400028175308137031943022654796390562313<51>
5×10100+8 = 5(0)998<101> = 23 × 7 × 59574527 × 218347769 × 68639263617386236227643231836130164171923590111409877209057402154978977452425879761<83>
5×10101+8 = 5(0)1008<102> = 23 × 109 × 551549 × 28611380701<11> × 17659137615762895589<20> × 1479986839708959515106372809<28> × 1390283143629954407112992737200700561<37>
5×10102+8 = 5(0)1018<103> = 23 × 13 × 379 × 102832511699<12> × 1181722130916860696502125832086401343<37> × 1043882561313315224672359553639404675824456075261659<52> (Eric Jeancolas / ECM for P37 x P52 / November 13, 2021 2021 年 11 月 13 日)
5×10103+8 = 5(0)1028<104> = 23 × 97 × 1009 × 13009 × 4908775870781358844619051373690807189420158248770944428143425166317003827534339700926444736993<94>
5×10104+8 = 5(0)1038<105> = 23 × 146837 × 10818637 × 4272634089491<13> × 621398971703129<15> × 14818550819779328061108604606902736683180526344566197332384555811<65>
5×10105+8 = 5(0)1048<106> = 23 × 511079341 × 49818301772149<14> × 3519723001152181<16> × 752333309540130903805378414657201<33> × 9270090954557266748989248534843869<34> (Eric Jeancolas / ECM for P33 x P34 / November 13, 2021 2021 年 11 月 13 日)
5×10106+8 = 5(0)1058<107> = 23 × 7 × 603783619 × 12266809757<11> × 272058062823722823722056790263<30> × 443105784789346356426237801024513266873606340873980532967<57> (Eric Jeancolas / ECM for P30 x P57 / November 13, 2021 2021 年 11 月 13 日)
5×10107+8 = 5(0)1068<108> = 23 × 80537 × 1644073 × 88908857 × 6442770881<10> × 7875889574401<13> × 104627570152932544081318094187414523473805209168891587993062980553<66>
5×10108+8 = 5(0)1078<109> = 23 × 13 × 23 × 11326788727<11> × 112572576296813<15> × 1506969081594452498719412280011<31> × 1087840145180745289317247011102692057379471160577659<52> (Eric Jeancolas / ECM for P31 x P52 / November 13, 2021 2021 年 11 月 13 日)
5×10109+8 = 5(0)1088<110> = 23 × 569 × 1889 × 16141 × 55381 × 132661 × 14068238095178963666939029<26> × 3485471898183703354404583527364927853255252701886341627025125889<64>
5×10110+8 = 5(0)1098<111> = 23 × 3168489367<10> × 19725488319746663678799083689650267335108907752253788768987211816639812634094283832892534368413425703<101>
5×10111+8 = 5(0)1108<112> = 23 × 17 × 54193 × 1165121 × 266695969 × 19765505673335969<17> × 2960281708222726656607425809<28> × 37312938292818672422735862543849427722191488049<47>
5×10112+8 = 5(0)1118<113> = 23 × 72 × 19 × 75683399161<11> × 1829313896420101823<19> × 3881397220082423423<19> × 204536439815887913681<21> × 61077702296187501480554496502960582189939<41>
5×10113+8 = 5(0)1128<114> = 23 × 29 × 229315906943309<15> × 6595115324560139814612000453109<31> × 1425034713598202154203717544576729547030913404125946542047138679749<67> (Eric Jeancolas / ECM for P31 x P67 / November 13, 2021 2021 年 11 月 13 日)
5×10114+8 = 5(0)1138<115> = 23 × 13 × 32957 × 119087 × 120502701097211474089<21> × 101654792079862524086415462832030985393894027199195245471507206015893795443655883727<84>
5×10115+8 = 5(0)1148<116> = 23 × 13631178454612412002874105444505349711025402821825948801<56> × 458507679347795030617200863486593453017973993312089723491201<60> (Eric Jeancolas / ECM for P56 x P60 / November 13, 2021 2021 年 11 月 13 日)
5×10116+8 = 5(0)1158<117> = 23 × 42557 × 109483771 × 53051792688985042676375690304582056291422453<44> × 252847812401061917908922017261446697073427544127172979598611<60> (Eric Jeancolas / ECM for P44 x P60 / November 13, 2021 2021 年 11 月 13 日)
5×10117+8 = 5(0)1168<118> = 23 × 119929 × 501401 × 4163816479481<13> × 2496197991600192937255682287324392306229943211175082459422837783360852796177611626661224157049<94>
5×10118+8 = 5(0)1178<119> = 23 × 7 × 1091 × 7083487 × 4263936815011<13> × 8566836071166317183652716559741511517<37> × 3162852277190907303524116494106337406610760341193187008117<58> (Eric Jeancolas / ECM for P37 x P58 / November 13, 2021 2021 年 11 月 13 日)
5×10119+8 = 5(0)1188<120> = 23 × 138287713 × 5274721619617<13> × 2774364346718808000433<22> × 30883988650063404153814013495327676879112214989599335800481891253118412696657<77>
5×10120+8 = 5(0)1198<121> = 23 × 13 × 1047649 × 884300051 × 51894485694559118791710246160322581751162393774945489012558874113387472748253598059248298077013092989223<104>
5×10121+8 = 5(0)1208<122> = 23 × 89 × 641 × 73275020502301122749<20> × 1495119936432800793221679834001007333400343776405572457712110958258458205593743982831888054582301<97>
5×10122+8 = 5(0)1218<123> = 23 × 157489 × 213481 × 3191339939<10> × 5059525277<10> × 13895600945539<14> × 8285341099876885334192299876062102423590753298958865992994917190718300285353717<79>
5×10123+8 = 5(0)1228<124> = 23 × 11353 × 12473 × 56633 × 130241 × 1355418337119980446980223521184175897<37> × 441476723069852971737732199259426254454499060749708231585205125942369<69> (Eric Jeancolas / ECM for P37 x P69 / November 13, 2021 2021 年 11 月 13 日)
5×10124+8 = 5(0)1238<125> = 23 × 7 × 399613 × 3771277663<10> × 228230886413<12> × 16070627862918469099292292409<29> × 161527547425648537646518708719807709055848812665826863080061682158041<69>
5×10125+8 = 5(0)1248<126> = 23 × 4889 × 307385568601<12> × 236296241106145328857601<24> × 88060219069097429447431801149320183101<38> × 1998664650733402704185548560404804950379271110309<49> (Eric Jeancolas / ECM for P38 x P49 / November 13, 2021 2021 年 11 月 13 日)
5×10126+8 = 5(0)1258<127> = 23 × 13 × 78371349116531<14> × 3245554393710043092532599023327<31> × 592907253878461304317500166651561<33> × 318789263444904567482903409964205689507779274961<48> (Eric Jeancolas / ECM for P31 x P33 x P48 / November 13, 2021 2021 年 11 月 13 日)
5×10127+8 = 5(0)1268<128> = 23 × 17 × 21617 × 148721 × 56152529 × 1077586601089<13> × 1889913263701054669327807946385002768865760658061247446505645687672751013005644000430607645279809<97>
5×10128+8 = 5(0)1278<129> = 23 × 59 × 127 × 1205654395691<13> × 56058674887487<14> × 696859927719202340077<21> × 234610367494233263472192460396870259<36> × 754859164119251757484388621306099322590447<42> (Eric Jeancolas / ECM for P36 x P42 / November 13, 2021 2021 年 11 月 13 日)
5×10129+8 = 5(0)1288<130> = 23 × 241 × 336518010461<12> × 7706455272031195377128918242804187660158575498153979038151311000481791388818389864955137616108696693007643873688901<115>
5×10130+8 = 5(0)1298<131> = 23 × 7 × 19 × 23 × 251 × 7673383 × 1243516854059<13> × 853077067584698660639369636747112417289972488590634071857055007747233078152447368504625310643005785548037<105>
5×10131+8 = 5(0)1308<132> = 23 × 46419977 × 42831928442761744209945254396750605009<38> × 31434565960832562532043932847138580253998735992162288029019732473520735464354092967657<86> (Eric Jeancolas / ECM for P38 x P86 / November 13, 2021 2021 年 11 月 13 日)
5×10132+8 = 5(0)1318<133> = 23 × 132 × 2966863 × 1246510153003696469017869484910313504742653022788018521274100029791193773539384426656994971121321463027889595666350492524183<124>
5×10133+8 = 5(0)1328<134> = 23 × 333929 × 150069589 × 21759651397487272684661<23> × 5731671001308449663293467407157724943309794296740325598008468249127486549569429111958935638056961<97>
5×10134+8 = 5(0)1338<135> = 23 × 14369 × 476427779 × 9129697681908305516643131564039575454505485541313852278202388665373155134734110332810019681516348280808617651730533471051<121>
5×10135+8 = 5(0)1348<136> = 23 × 458977 × 11772337 × 24889537 × 7641384721<10> × 608187549090123206688929018154910927003813716206696555844449267829423995750763783029277276308262873663137<105>
5×10136+8 = 5(0)1358<137> = 23 × 7 × 1312 × 863 × 6569 × 671651 × 31607557538265555533529883597623049<35> × 432309446530018829532153219706876475704381061782276085755589911250952774290341039771<84> (Eric Jeancolas / ECM for P35 x P84 / November 13, 2021 2021 年 11 月 13 日)
5×10137+8 = 5(0)1368<138> = 23 × 856150681 × 74586990788221<14> × 58217286460056721<17> × 2540926959151998895391990449<28> × 6616412675884745041873742981945840689069609993959187408293630073995869<70>
5×10138+8 = 5(0)1378<139> = 23 × 13 × 8282419 × 7052570779<10> × 597463952752241<15> × 324488051974857223<18> × 4245429138544623969193522231251872698096235442718840238018284231171636786891055435559139<88>
5×10139+8 = 5(0)1388<140> = 23 × 937 × 1097 × 17257 × 1901177 × 8992777897<10> × 44492448046873<14> × 66403523884991257<17> × 12534040746274588893361<23> × 556523553553124570743973765773242094029235260762556226537513<60>
5×10140+8 = 5(0)1398<141> = 23 × 1997 × 2917463 × 542673619 × 677904129804757<15> × 5647597790306660643102205139<28> × 232149360225398469856750294145143438757<39> × 22241207168098621611337306887267380056499<41> (Eric Jeancolas / ECM for P39 x P41 / November 13, 2021 2021 年 11 月 13 日)
5×10141+8 = 5(0)1408<142> = 23 × 29 × 769 × 1481 × 132169 × 5874910337509<13> × 6842545435947961<16> × 3561656928061101682973726779909312411001389763042359631855819422623449007387845512884845193509671241<100>
5×10142+8 = 5(0)1418<143> = 23 × 7 × 47 × 674118578293891<15> × 49821559192088877149904390971583335383012722696700409<53> × 565627489884921705014299949882772043517580126994571081047655637522980651<72> (Eric Jeancolas / ECM for P53 x P72 / November 13, 2021 2021 年 11 月 13 日)
5×10143+8 = 5(0)1428<144> = 23 × 17 × 3676470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353<142>
5×10144+8 = 5(0)1438<145> = 23 × 13 × 2958154002823<13> × 6308087336042773<16> × 2576429052177784660983040175798430511382347362190163042019225611140136386270645072204585402129521452955162797688263<115>
5×10145+8 = 5(0)1448<146> = 23 × 6121 × 71861 × 5358569 × 1030984010929<13> × 219132332634268464850457481483531195887386621<45> × 11737001559055296344373314275902073515367405962331524190040437965307900001<74> (Eric Jeancolas / ECM for P45 x P74 / November 13, 2021 2021 年 11 月 13 日)
5×10146+8 = 5(0)1458<147> = 23 × 31121 × 1941293301915209818289751823<28> × 1034511487808287593522766766158674169375592950393848465638179684427743384490087796257258553963598681577153378085247<115>
5×10147+8 = 5(0)1468<148> = 23 × 881 × 215430575417<12> × 1030815004444316475913<22> × 1381063055799131279593657<25> × 2313143246253801766520154530638595538836230656098891371551769853222131702056832045207193<88>
5×10148+8 = 5(0)1478<149> = 23 × 7 × 192 × 2473288484368816778789077958053027305104867431737237831420656905421448357736446379105658884052235852789869410368025326474079936683814800158290463<145>
5×10149+8 = 5(0)1488<150> = 23 × 1181 × 4909 × 9461 × 273257683482490606258071177711550891599550619272959928300162454712029<69> × 4169919421218057071118524468014083824346480543142481412284899221877801<70> (Eric Jeancolas / ECM for P69 x P70 / November 13, 2021 2021 年 11 月 13 日)
5×10150+8 = 5(0)1498<151> = 23 × 13 × 691 × 37318618580472235134899582128976822938638143687123345453792896895768201<71> × 1864374089135608425123881075592839841014291787490087223592267440833526691247<76> (Eric Jeancolas / ECM for P71 x P76 / November 13, 2021 2021 年 11 月 13 日)
5×10151+8 = 5(0)1508<152> = 23 × 113 × 1361 × 127681 × 10822508531377<14> × 2886885782659647255825066381937<31> × 10187312644638505990633837808942970169808254040115006476787476035460862881784781874145552613075553<98> (Eric Jeancolas / ECM for P31 x P98 / November 13, 2021 2021 年 11 月 13 日)
5×10152+8 = 5(0)1518<153> = 23 × 23 × 997 × 6091 × 7369 × 44860451 × 4614248378661797610691784858521<31> × 293356194566189137892213780560237266073446535914806601664156038524437763808803848321385346187833985019<102> (Eric Jeancolas / ECM for P31 x P102 / November 13, 2021 2021 年 11 月 13 日)
5×10153+8 = 5(0)1528<154> = 23 × 641 × 1861 × 250317055334420456934480572421583770322646122530907733729<57> × 2093076845879235821173479129197522208011343894161183085345312960931104595990830352646436269<91> (Eric Jeancolas / ECM for P57 x P91 / November 13, 2021 2021 年 11 月 13 日)
5×10154+8 = 5(0)1538<155> = 23 × 72 × 739 × 877 × 6713471251<10> × 137643576559419971<18> × 51889551939790551438464939470451319701209<41> × 4104468268954577564281629046945447452045171664417293402521568046381565146505047<79> (Eric Jeancolas / ECM for P41 x P79 / November 13, 2021 2021 年 11 月 13 日)
5×10155+8 = 5(0)1548<156> = 23 × 336004934840401<15> × 1741666247913297695429257<25> × 270939800328309866227223047752046391416211729<45> × 394181846390153922842069894368859356089637701072174702502729332780336217<72> (Eric Jeancolas / ECM for P45 x P72 / November 13, 2021 2021 年 11 月 13 日)
5×10156+8 = 5(0)1558<157> = 23 × 13 × 1076518457682053<16> × 42668475300441018658722706400339877540677<41> × 1072400392870497044644974832097108899460215717<46> × 976002872589630365434602190720745519658854388516584201<54> (Eric Jeancolas / ECM for P41 x P46 x P54 / November 13, 2021 2021 年 11 月 13 日)
5×10157+8 = 5(0)1568<158> = 23 × 61 × 2044376297962240739389<22> × 297352634895848318774280046937681<33> × 168545652187559486445882883753709913101045230908090887967213934359074605091132229027089842242547491049<102> (Eric Jeancolas / ECM for P33 x P102 / November 13, 2021 2021 年 11 月 13 日)
5×10158+8 = 5(0)1578<159> = 23 × 25792470602579<14> × 2423187796276894803299761764671350033792908084689184061707783600414596424684138471819741334945124919408710030005614771646401314650482959531469019<145>
5×10159+8 = 5(0)1588<160> = 23 × 17 × 241 × 3361 × 45388469745534809434149572945334780632442211218766106098489203027127707975959652046907422118650979152749048893694176267175269282528845098738803299952353<152>
5×10160+8 = 5(0)1598<161> = 23 × 7 × 17479291 × 7381702795442240677081<22> × 411091430713391171433309453343<30> × 930605891706871646021712026817015927635971000087<48> × 18088284805484972078097809032112814352228696406523413<53> (Eric Jeancolas / ECM for P30 x P48 x P53 / November 13, 2021 2021 年 11 月 13 日)
5×10161+8 = 5(0)1608<162> = 23 × 70241 × 146381 × 288203014219621<15> × 7094658608969575079512043813541705808996130026902072850551899509<64> × 2972860980614157955935663807060129960980705044907677536544437859407120029<73> (Eric Jeancolas / ECM for P64 x P73 / November 13, 2021 2021 年 11 月 13 日)
5×10162+8 = 5(0)1618<163> = 23 × 13 × 2423 × 537086024653901463098767<24> × 21720374169437542468399718696503154681<38> × 1700873820370922220607255771288807100447690931241747760301073176955035191159032468009347212465237<97> (Eric Jeancolas / ECM for P38 x P97 / November 13, 2021 2021 年 11 月 13 日)
5×10163+8 = 5(0)1628<164> = 23 × 18457 × 1104084675934074423070642553<28> × 306701939931410109870395187350165088750708578755120766874391687814901073269896194001710846154190832758245114653745675307998681029681<132>
5×10164+8 = 5(0)1638<165> = 23 × 809 × 6955502143925383894524527793587947634441<40> × 7657932731249189611090766329758621701537083007758253<52> × 1450412252383703520995909158804701003285489120100331799934968805384693<70> (Eric Jeancolas / ECM for P40 x P52 x P70 / November 13, 2021 2021 年 11 月 13 日)
5×10165+8 = 5(0)1648<166> = 23 × 89 × 2129 × 38201 × 25754081 × 83098830791336492876501<23> × 40345829325192993678435819863877920737500827996030172427263768244443641866935588285467995470907632686883399644719930192610941<125>
5×10166+8 = 5(0)1658<167> = 23 × 7 × 19 × 293 × 60421597 × 2654413369623623889953390562001278682706266069497703411845991981871685991902612550634761065542337401949045046330146164261104666460817858079594620082531357<154>
5×10167+8 = 5(0)1668<168> = 23 × 62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<167>
5×10168+8 = 5(0)1678<169> = 23 × 13 × 351926881335348251556973498838092230960154260417113989850669825127354233455355939<81> × 136610545049870656218379742021644195082819391043622488856704377924584038114157210724343<87> (Eric Jeancolas / ECM for P81 x P87 / November 13, 2021 2021 年 11 月 13 日)
5×10169+8 = 5(0)1688<170> = 23 × 29 × 3121 × 178841266108859201253256513351429968120609855119172607375006253266061<69> × 386118415194710819440069745881399982099365061091670583225702161936739565294850165901136069207449<96> (Eric Jeancolas / ECM for P69 x P96 / November 13, 2021 2021 年 11 月 13 日)
5×10170+8 = 5(0)1698<171> = 23 × 127 × 197 × 873331769484219582960277<24> × 1173577255935582696696447155609389205434850977659097154383<58> × 2437356899268377219580930967514588489955023902231284430208220857762928050033090107369<85> (Eric Jeancolas / ECM for P58 x P85 / November 13, 2021 2021 年 11 月 13 日)
5×10171+8 = 5(0)1708<172> = 23 × 1728827994087796958985721009<28> × 197456558190250843421299252164277850988170137<45> × 1830866458253181761251537995640623179748679663811383321199672107093473869553019160835570997054955897<100> (Eric Jeancolas / ECM for P45 x P100 / November 13, 2021 2021 年 11 月 13 日)
5×10172+8 = 5(0)1718<173> = 23 × 7 × 10607 × 1640630240792611<16> × 66711473425536633853770600233169488632792050796825003311610571<62> × 769091768663860594373296402337912030879057405600745510141970931755549821045427926569156729<90> (Eric Jeancolas / ECM for P62 x P90 / November 13, 2021 2021 年 11 月 13 日)
5×10173+8 = 5(0)1728<174> = 23 × 56733421 × 213567181 × 68691227569<11> × 121219454929<12> × 57789189073547506978284551102084811063771386305415310312078701<62> × 10719791175816472824301582742031224130088959451107466412404587613760797501<74> (Eric Jeancolas / ECM for P62 x P74 / November 13, 2021 2021 年 11 月 13 日)
5×10174+8 = 5(0)1738<175> = 23 × 13 × 23 × 50079847 × 6204938293<10> × 3746964058171<13> × 3355547753681768689735358337099533980966282683797323505813<58> × 535014334056065968794495732207183844366335009142525977695566590902510135945599385303<84> (Eric Jeancolas / ECM for P58 x P84 / November 13, 2021 2021 年 11 月 13 日)
5×10175+8 = 5(0)1748<176> = 23 × 17 × 577 × 13649 × 46682536886804057580377189072064773312103061656629087174678083387723468277061319513947998835789814484420024489882926994465266142259197712725990441164239763570951454561<167>
5×10176+8 = 5(0)1758<177> = 23 × 157 × 6779 × 110533 × 1540447 × 571520881 × 19189490690612138233543693078296449<35> × 353256296717852323274000159637679431500964983<45> × 89020606829794645280055458052151200647395265734601302924970886644832571<71> (Eric Jeancolas / ECM for P35 x P45 x P71 / November 13, 2021 2021 年 11 月 13 日)
5×10177+8 = 5(0)1768<178> = 23 × 3061 × 98729 × 176201 × 25913141 × 15054827861<11> × 38047605181<11> × 108179798161<12> × 22981358651217555774933180217876326610357710896428634347121<59> × 318066943049675465511509958173937475217582829327447155000345988889<66> (Eric Jeancolas / ECM for P59 x P66 / November 13, 2021 2021 年 11 月 13 日)
5×10178+8 = 5(0)1778<179> = 23 × 7 × 32089 × 695440596939988888009885540475844251819<39> × 40009742351406001056424476440152557140221516859727356371460347897520940109894217785830896037506165956301965577777434858224430054976173<134> (Eric Jeancolas / ECM for P39 x P134 / November 13, 2021 2021 年 11 月 13 日)
5×10179+8 = 5(0)1788<180> = 23 × 993169 × 6469649 × 57001416565469249867852582917749001168566933735276434563889<59> × 170643792248841700469525315802558564468006567702968157261555389546207063426662524445797486966473232416669489<108> (Eric Jeancolas / ECM for P59 x P108 / November 13, 2021 2021 年 11 月 13 日)
5×10180+8 = 5(0)1798<181> = 23 × 13 × 251 × 1226891249<10> × 3285818445209<13> × 87923930810825816806876170937300699394882489686447<50> × 540388646158526936289100143283348305961970011851461533454895137911814463262415711681605253613601096425001<105> (Eric Jeancolas / ECM for P50 x P105 / November 13, 2021 2021 年 11 月 13 日)
5×10181+8 = 5(0)1808<182> = 23 × 541 × 57735482781174101209<20> × 2340819201671276843509<22> × 31036816546007563319466543046926583219671668747930041<53> × 2754196423819359575056281404108063397894244424701164371270715821378940984499493142641<85> (Eric Jeancolas / ECM for P53 x P85 / November 13, 2021 2021 年 11 月 13 日)
5×10182+8 = 5(0)1818<183> = 23 × 223 × 33601 × 1607487837521<13> × 41847893318570573492348325427604731554012994121<47> × 123994281423934993560283098267354539769702434901202552633248754458831206770345414943324462806010570989559761481258807<117> (Eric Jeancolas / ECM for P47 x P117 / November 13, 2021 2021 年 11 月 13 日)
5×10183+8 = 5(0)1828<184> = 23 × 119032565633<12> × 159351936833<12> × 43807217743411009812388657<26> × 752161681927747842733743602186045695701929482261344230301501692540887961020574001156578570957190981343446720388498618792225437286705937<135>
5×10184+8 = 5(0)1838<185> = 23 × 7 × 19 × 574523243969<12> × 239185717847221071266537573<27> × 77885970385907029050965904533489<32> × 4390624470226752265814105945698077836783768636238207266669861822211299171247173642620172102774386343364790418329<112> (Eric Jeancolas / ECM for P32 x P112 / November 13, 2021 2021 年 11 月 13 日)
5×10185+8 = 5(0)1848<186> = 23 × 641 × 501089 × 113285360511569<15> × 91135664023808387781117329185377856661<38> × 18847118683381808955411159886926948792528833572017431950432775294504468480619639870516177997433623129892553538797911157725261<125> (Eric Jeancolas / ECM for P38 x P125 / November 13, 2021 2021 年 11 月 13 日)
5×10186+8 = 5(0)1858<187> = 23 × 13 × 59 × 69962287 × 787100528521<12> × 1418725141305971<16> × 6308902084119203653896266092277453044321807<43> × 1653249498445367909654878938658642284789579169624140772662898846136061538816065284826165888935563293047837<106> (Eric Jeancolas / ECM for P43 x P106 / November 13, 2021 2021 年 11 月 13 日)
5×10187+8 = 5(0)1868<188> = 23 × 2857 × 9963879385601<13> × 17793950472289<14> × 3619983955946525017<19> × 164141379988166608297<21> × 20765586979354923479995491015280281569608122545926685181666954388384716076959443196171693887022271414632503919944933113<119>
5×10188+8 = 5(0)1878<189> = 23 × 47 × 13928170801<11> × 355880215776823<15> × 268277487446131795349458002781005919182269404980305366267671408227423317799129962537325474296945290840171178603717122644373778462313286909411994622989824644172921<162>
5×10189+8 = 5(0)1888<190> = 23 × 241 × 71377300152501852634296749<26> × 36333133787769391557181461689221580627093801332723652909005703734015691221648726271507362577007085967296854424910519686012627193091630354976912376749535852342389<161>
5×10190+8 = 5(0)1898<191> = 23 × 7 × 26539 × 56809 × 2951887 × 29845062971<11> × 6723996720619<13> × 63308771830921601<17> × 2044117096732228921606844863<28> × 7725220750363154599705671426658210150118947959728432822740559370908342476722409581219149345253848612090597<106>
5×10191+8 = 5(0)1908<192> = 23 × 17 × 257 × 28888834473040897<17> × 513682469075487287956437110170289<33> × 881035628763571845791262064756123691599390575954345111659617<60> × 1094157234606928588769421766108025132314776597675334118522697058959869378981089<79> (Eric Jeancolas / ECM for P33 x P60 x P79 / November 13, 2021 2021 年 11 月 13 日)
5×10192+8 = 5(0)1918<193> = 23 × 13 × 733651 × 788186852319721<15> × 366079898178710498489884605247<30> × 15477495220963967831446780144456954874401277<44> × 14673759759197361445136705600083300843388453904212566957750218504505773726674423003735004270236773<98> (Eric Jeancolas / ECM for P30 x P44 x P98 / November 13, 2021 2021 年 11 月 13 日)
5×10193+8 = 5(0)1928<194> = 23 × 709 × 3823289890479224329<19> × 60698497091116694129<20> × 45561067345803406978961221609<29> × 833728650756666920930336067328499415941434771765415192221104652208065008154472431007100645824313320884813814873598965119981<123>
5×10194+8 = 5(0)1938<195> = 23 × 190121 × 88160016379199919797669403627779<32> × 115412178559174495035462603911152733530502178533655140687<57> × 32309231359439594175216532172228285853839101754304564986536881616802216875745289210170928434978245597<101> (Eric Jeancolas / ECM for P32 x P57 x P101 / November 13, 2021 2021 年 11 月 13 日)
5×10195+8 = 5(0)1948<196> = 23 × 457 × 7121 × 324141833 × 66584300071441<14> × 106494643313066808594705136797658697<36> × 10564599542936954927071745925116813675257<41> × 21813162674828155909038967331622814126150049<44> × 362590539015065837785028124604126434336165846641<48> (Eric Jeancolas / ECM for P36 x P41 x P44 x P48 / November 13, 2021 2021 年 11 月 13 日)
5×10196+8 = 5(0)1958<197> = 23 × 72 × 23 × 5081 × 2339941397<10> × 3825313081<10> × 2281448966770093<16> × 43976195405819403383<20> × 1215364446743947530583699503202265779409289285799640365149810294260579800514370222823633225832659470723267388806357379400995297628094881<136>
5×10197+8 = 5(0)1968<198> = 23 × 29 × 1601 × 8609 × 25602229 × 309579718125764247697879399561<30> × 4688019950464072301937000631985513376229<40> × 4208218199024517524488421217568203080553948691697682105515814015019352095547848034886574815345902567211393347941<112> (Eric Jeancolas / ECM for P30 x P40 x P112 / November 13, 2021 2021 年 11 月 13 日)
5×10198+8 = 5(0)1978<199> = 23 × 13 × 75979 × 340532005900663<15> × 222383046251278967<18> × 8355712338792825603658284510156565310150105282024417597174834799204385233065661845715820957785564912610505546103217996971547659321553676222016479267519644930303<160>
5×10199+8 = 5(0)1988<200> = 23 × 97 × 30593 × 8948689 × 1088570465713<13> × 712202637450400137301848792355949539399080569921274065196218437688521012207712677649<84> × 303575470333234880887346363543097459073041088681750650692394193727615459778113932045564817<90> (ebina / yafu-x64 for P84 x P90 / November 15, 2021 2021 年 11 月 15 日)
5×10200+8 = 5(0)1998<201> = 23 × 6037 × 41728654201007<14> × 328673405869434883093698221845602110243235307773359611370009374873691<69> × 754848676411490728851470584102449091736705339895791771879325754211488238372898540430682785798267880273817082241129<114> (ebina / Msieve 1.53 for P69 x P114 / November 14, 2021 2021 年 11 月 14 日)
5×10201+8 = 5(0)2008<202> = 23 × 12409 × 12770429232234216836809<23> × 3567451725231184899261975837804936461004693436007052511644569<61> × 1105553167143931530757731066010617156363062859377629049818259393107548699155544151298003650151174400432663432733609<115> (Bob Backstrom / Msieve 1.54 snfs for P61 x P115 / November 18, 2021 2021 年 11 月 18 日)
5×10202+8 = 5(0)2018<203> = 23 × 7 × 19 × 179 × 557 × 219767 × 991084819206719156449<21> × 2163948130218750830604426760484181733757403206038541329917485052611129551656366135162534507488084368634328653340631931981997009314918355372058990491834760337299829695453<169>
5×10203+8 = 5(0)2028<204> = 23 × 1673489 × 195197033 × 169041218849<12> × 351703103773009<15> × [3218215533643341659766804236541526774255875072369549161990718977514504677013977474400435190619065578175369926058319039397831208774703135776216057934929779938872153<163>] Free to factor
5×10204+8 = 5(0)2038<205> = 23 × 13 × 1117 × 15289 × 289889 × 931783 × 2056873514053<13> × 5364448096131952743874272273834293479709561044376926567401000103<64> × 944550666858928579357223433716620372397241288255771490585204829895896521351471722502197939211052221891648813<108> (ebina / Msieve 1.53 for P64 x P108 / November 14, 2021 2021 年 11 月 14 日)
5×10205+8 = 5(0)2048<206> = 23 × 3329 × 3469 × 541205152169137260970250082674499045357407985815402629356474168797643913160905660494994025528084174459948697215287339670138490501762986607294008010355809049313834130232663661953390373181301734341701<198>
5×10206+8 = 5(0)2058<207> = 23 × 970878662290135016762779618480147425322244205005333683975277<60> × 64374676700148398252163797104454288291746302188351915606065973007591473866785813799091214005526342336533595229726736931015988948642549518753658213<146> (ebina / Msieve 1.53 for P60 x P146 / November 14, 2021 2021 年 11 月 14 日)
5×10207+8 = 5(0)2068<208> = 23 × 17 × 779521 × 14870017 × 394681994255324743288306905875644650097<39> × 8036084552667823377906913365588919744200961301226390484882784226784438931019369675804917090712445761056924879521331428944195057330167233300973552476765057<154> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2101495857 for P39 x P154 / November 13, 2021 2021 年 11 月 13 日)
5×10208+8 = 5(0)2078<209> = 23 × 7 × 373 × 43783 × 24542395567<11> × 30639786934459<14> × 319058838088609<15> × 90290128233137359531<20> × 2523793908578067396456665935627211974510548147566117795873970547828774971016584481256002203188974163964350676266381132593341407897372449882571<142>
5×10209+8 = 5(0)2088<210> = 23 × 89 × 109 × 103349 × 30929596791881089<17> × 179965505812136112701<21> × [11199372869002230066017999173091320755802354754145452680937978297571167531893898524452234935067524728278510036911671530161970405293773661926327006889866879780072141<164>] Free to factor
5×10210+8 = 5(0)2098<211> = 23 × 132 × 25847 × 1978337849<10> × 90849347514637<14> × 137899641301207<15> × 119978420506696975681762853066316394327<39> × 48116565542497511477491850672333572991635294863113134223154498076273001608452029524305245891864076405444610256052226078990316051<128> (ebina / GMP-ECM 7.0 B1=5000000, sigma=1:1122431437 for P39 x P128 / November 14, 2021 2021 年 11 月 14 日)
5×10211+8 = 5(0)2108<212> = 23 × 10321 × 2049409 × 149150379274849<15> × 1033014979923169<16> × 773354682280613055482254101736529<33> × 2479818522134743851656656895951113182318148047084164369826072973866355515825668040127497699904429398913593292333617152264705242450529895841<139> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1599397159 for P33 x P139 / November 13, 2021 2021 年 11 月 13 日)
5×10212+8 = 5(0)2118<213> = 23 × 127 × 492125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496063<210>
5×10213+8 = 5(0)2128<214> = 23 × 8669 × 39793009 × 47905947321238617253328338516998992971100698070270296762321976066319546401<74> × 37819414554790409872005122680193821426273710426543852089300064240560204530274397571634205733491986036595578843717620705491938981<128> (ebina / Msieve 1.53 for P74 x P128 / November 14, 2021 2021 年 11 月 14 日)
5×10214+8 = 5(0)2138<215> = 23 × 7 × 1012241 × 25908721 × 42722327 × 208626881 × 342099275290427714569894516903261977481<39> × 11165412169585934277685120934323575577310469810007993412365415868368822089843875784351203887549390026007505675030875283490129085385758026506103129<146> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3355853702 for P39 x P146 / November 13, 2021 2021 年 11 月 13 日)
5×10215+8 = 5(0)2148<216> = 23 × 1777 × 369829409328954721<18> × 7182931701713688403421586017215395841171039618396240641066670643484113<70> × 13240043399034443082047916744491251746798004468030334725742678370345665650121943474489411730182448138032899524602741593222881<125> (ebina / Msieve 1.53 for P70 x P125 / November 14, 2021 2021 年 11 月 14 日)
5×10216+8 = 5(0)2158<217> = 23 × 13 × 3041 × 40411561 × 118710340444012049<18> × 268699500903598181917<21> × 8141345032595105339651<22> × 16219208672108014497795070303323119965474719678539<50> × 92882390904365521250217700632808880028364192667533009444009908571239251594509112252417687440721<95> (Eric Jeancolas / cado-nfs-3.0.0 for P50 x P95 / November 26, 2021 2021 年 11 月 26 日)
5×10217+8 = 5(0)2168<218> = 23 × 61 × 641 × 159842459272141377458377023605534385309838623053118846065318022556967852484591186926165571213012454924426485256131556737679343239303342625508299020485409580317638935065599345285286821308917930487711311731157770901<213>
5×10218+8 = 5(0)2178<219> = 23 × 23 × 28741157615755499<17> × 116803643633002456067463289471233125850703459<45> × 297484530120876434605600844336933165749337134810984198879411<60> × 2720991267767776691628465718083082568773538527019556876730759449227499809687539434396165724252637<97> (ebina / GMP-ECM 7.0 B1=20000000, sigma=1:2214795500, Msieve 1.53 for P45 x P60 x P97 / November 14, 2021 2021 年 11 月 14 日)
5×10219+8 = 5(0)2188<220> = 23 × 233 × 241 × 142998797431590992050202319083739023963759536129<48> × 77834953182359224554490323521287795318153798667158053346100113634443245511018966626160684914156048036836677750763613511823616868460659624248297627009189799541006013673<167> (ebina / Msieve 1.53 for P48 x P167 / November 14, 2021 2021 年 11 月 14 日)
5×10220+8 = 5(0)2198<221> = 23 × 7 × 19 × 7541321797<10> × 237701597179847<15> × 471189457338347453<18> × 484971956795105957<18> × 773868783229002994797632292525411330901344773<45> × 148241323605504271988637602008245047027776230146610902718709850530700931046211317755408796529933491993610116061651<114> (ebina / GMP-ECM 7.0 B1=20000000, sigma=1:1007512184 for P45 x P114 / November 14, 2021 2021 年 11 月 14 日)
5×10221+8 = 5(0)2208<222> = 23 × 229 × 1301 × 128389 × 2533429 × [644956887030704507022769408883553447349894618392996075985766405182897971295347166084589485869591594013705046884186942285185481730430790354966966363154082495857388104475793153431211107079924267505271912049<204>] Free to factor
5×10222+8 = 5(0)2218<223> = 23 × 13 × 1489885648431276979<19> × 50325967859490675240685613790499<32> × 641197163342015183270892355537422495059452640147238720944244015883248775920071634280490289871060352133559169495468049075357514841543796625305979954509444958381934532113837<171> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1465469030 for P32 x P171 / November 13, 2021 2021 年 11 月 13 日)
5×10223+8 = 5(0)2228<224> = 23 × 17 × 1595953 × 57359319862827329<17> × 4016123001658196655803145419171245982572776512943118534306100470976277362976187219831144514344010222961859517545184426053291294814772902483932030852933562200807627722938779182267430492355449156163969<199>
5×10224+8 = 5(0)2238<225> = 23 × [62500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<224>] Free to factor
5×10225+8 = 5(0)2248<226> = 23 × 29 × 389 × 72949 × 84221 × 93901 × 157084415963329<15> × 4795379402154405855269<22> × 2428117529911761379957409<25> × 16314667738884812007249981748946134841<38> × 17310319639218922228401123867004326013792781<44> × 185914543212472375751065006210964288784239624889356900342989673341<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2082228844 for P38 / November 13, 2021 2021 年 11 月 13 日) (Bob Backstrom / for P44 x P66 / November 14, 2021 2021 年 11 月 14 日)
5×10226+8 = 5(0)2258<227> = 23 × 7 × 6263779 × 6764527017392162327<19> × 97597850129786804199481<23> × [215907567249084531528948288397091300738907458069027928810610263325869485423631331844408079283204411386200437436250727273347745043192934187941533333530111188379909923887468481091<177>] Free to factor
5×10227+8 = 5(0)2268<228> = 23 × 1889 × 33086289041821069348861831656961355214399152991000529380624669137109581789306511381683430386447856008470089994706193753308628904182106934886183165696135521439915299100052938062466913710958178930651138168343038644785600847009<224>
5×10228+8 = 5(0)2278<229> = 23 × 13 × 48076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077<227>
5×10229+8 = 5(0)2288<230> = 23 × 16661 × 17431481 × 112771253369<12> × 14123107075659573390933349<26> × 23229854050224716456472989694401<32> × 581660437741314430119144218594226873846594718742285668870327838796818510891216097159288670564797783923886596866995348585391211640914775081926471531081<150> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:542649927 for P32 x P150 / November 13, 2021 2021 年 11 月 13 日)
5×10230+8 = 5(0)2298<231> = 23 × 251 × 263 × [946783209367851786769272719009891990971475315468165361368215351521669974096011391695575113992698407889355127020435368790995712965627982367109508733128323209064881159771560147243724720888309878357293260418402435883841061609077<225>] Free to factor
5×10231+8 = 5(0)2308<232> = 23 × 593 × 29569 × 34854699553<11> × 143486230998433<15> × 2537660573787910366573669217201<31> × 2808559202250374673065255005033377637954745767060148627483814445256336844349508815076634452689473752420605703711791467002666441569694497229809888038768688429235310402497<169> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3022333429 for P31 x P169 / November 13, 2021 2021 年 11 月 13 日)
5×10232+8 = 5(0)2318<233> = 23 × 7 × 10687 × 36571 × 2284490372007834044563233492586278089275309757074205794756474603830980917630357029450471809929959502649105818174840235052215896465133079556230573765302429850959201162535554314093226635946117021723908680755610535006521812459<223>
5×10233+8 = 5(0)2328<234> = 23 × 4421 × [14137073060393576114001357159013797783306944130287265324587197466636507577471160370956797104727437231395611852522053833974213978737842117168061524541958832843248133906356028047952951820855010178692603483374802080977154489934403981<230>] Free to factor
5×10234+8 = 5(0)2338<235> = 23 × 13 × 47 × 1303 × [785044709866316306446284728807875066100764570743833002777174165623080565684376856630738833838064745463383630624531328308209809165051568016901698585537843551265931697342027023123020902286427016591448916198675346958359972517154797<228>] Free to factor
5×10235+8 = 5(0)2348<236> = 23 × 33522161 × 208507243601<12> × 17199990394149029860641003230318377<35> × [51987467074633172658640282899209020973424283997852642855386911859635417306817888467232579037428440442319758476774186155056822013205090430443858701745511749728104766716260916718454233<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1101497678 for P35 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10236+8 = 5(0)2358<237> = 23 × 21185337883960853<17> × 2790719747245185231457626502223<31> × 20054991332513408122519855112530259<35> × 52711565941202217896967622311759198282876092931629540534918352818244393649452648114757048849926423413656094619084446895304786595331755915492628346386619681<155> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3575771827 for P31, B1=1000000, sigma=1:1693235379 for P35 x P155 / November 13, 2021 2021 年 11 月 13 日)
5×10237+8 = 5(0)2368<238> = 23 × 1047763841<10> × 11873821481<11> × [50237277484663031427965758988929474101090164598359531185476698638800339737084997156294987577232157651763127113396595801389560462890437166409769026457146239113065848396007255853855653016393047758579096270780576016873881<218>] Free to factor
5×10238+8 = 5(0)2378<239> = 23 × 72 × 19 × 6713211600429645542427497314715359828141783029001074113856068743286788399570354457572502685284640171858216970998925886143931256713211600429645542427497314715359828141783029001074113856068743286788399570354457572502685284640171858216971<235>
5×10239+8 = 5(0)2388<240> = 23 × 17 × [3676470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353<238>] Free to factor
5×10240+8 = 5(0)2398<241> = 23 × 13 × 23 × 461652041503<12> × [4527871243759891380486597272895224742291778604192567646247165431820902723567576324547994967753040658884294947234334952696459431946512278133538390617524727221889665771669786928345055382721175002731930007706480714129985947496733<226>] Free to factor
5×10241+8 = 5(0)2408<242> = 23 × 1129 × 222389 × 908658336055339858789<21> × [27395053837737208758832419109459138973022525418589315854725185838422459744749607651969069582926959132464309845769249985357159268613948373328836501503525993568939663746687997662013300840353359002921265422273839089<212>] Free to factor
5×10242+8 = 5(0)2418<243> = 23 × 2971 × 4051 × [5192961733854313411110329166473142292718362586879288399729434230558029020928965185636749751007870785153380564081937125945773348739950684311879809773087513203624504497977279089122938674611593465708713399278685152059474616844588613986881<235>] Free to factor
5×10243+8 = 5(0)2428<244> = 23 × 4001 × 21780504051720697<17> × 84179437474265977<17> × 96918868545447041<17> × 54406092554421606049<20> × 386377051384276643413729<24> × 41818680482684399063541476965611635759074791883037822350095728587600803944925654312055093272680344771538145441650042536721295427524962034333754289<146>
5×10244+8 = 5(0)2438<245> = 23 × 7 × 59 × 28911797 × 50710682767<11> × 3010237487378085829975801<25> × 3428898756074862023038406974289124433194806864404891741966479580766511310027400539605779665058369596848626542102964168296171020099784704341191233836677017250791767970708694035839713043238490999098023<199>
5×10245+8 = 5(0)2448<246> = 23 × 149 × 139154101 × 41739025811293709<17> × 71832625633962297361<20> × 583731675608782090661<21> × 431201505258878831299631481181<30> × 22958813116702568145340554563861<32> × 173976555368880505607260260348429775557065778583156336176201994780495153839142569457665674248504898697617233191040601<117> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1387769451 for P30, B1=1000000, sigma=1:1405185975 for P32 x P117 / November 13, 2021 2021 年 11 月 13 日)
5×10246+8 = 5(0)2458<247> = 23 × 13 × 1733 × 5077 × [5464254755691727309767369364291137137031085743135980217754136565435067067344876561304789896650659256216308880525188846174348037689509207020093323700974192691986787554400043930859674239666217790524130704169417846079427375477437073576662397<238>] Free to factor
5×10247+8 = 5(0)2468<248> = 23 × 193 × 4657 × 154410307085809<15> × [45033964768576924780740743789615384332057492126046242461002758110617417717071842990007875095287407012379980355811971442559247366621577202494208752773706652487897636203912819891702182046544534921403559802493528567245502962873889<227>] Free to factor
5×10248+8 = 5(0)2478<249> = 23 × 4567 × 10651 × 65413 × 2933538559950716736253450065388467967235414175480084098253190769853726981124049015610472472221146350209<103> × 6695804308356340954858498854466942748909973765911601439806369411415749847885846383244450159625482873777259294146679567336797674027809<133> (ebina / Msieve 1.53 for P103 x P133 / November 14, 2021 2021 年 11 月 14 日)
5×10249+8 = 5(0)2488<250> = 23 × 241 × 641 × 41805850603541<14> × 249697243222429<15> × 410477586835621<15> × 12859743588796878765486101<26> × 143761616774973128085782366969<30> × 212906698928092049597710983565981697049157175201<48> × 2398833477276471530050848349931415227460546498240359878492830132410266280217205823819159882447505361<100> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4240117415 for P30 / November 13, 2021 2021 年 11 月 13 日) (ebina / yafu -x64 v1.34.5 for P48 x P100 / November 15, 2021 2021 年 11 月 15 日)
5×10250+8 = 5(0)2498<251> = 23 × 7 × 1171 × 1011179369<10> × 35944658891<11> × [20977924377956495363230816328579109031010924478864109306126885485701695905018740707326090259689168735956260201219272131895272802128900606572919370098826518470365885570536166873468509215041275161968395412945505277935246683300527<227>] Free to factor
5×10251+8 = 5(0)2508<252> = 23 × 1657 × 37397946401<11> × 709180730987874729564229366457<30> × 1422174302786147701269135521653867487214515881138042939513868905127756616585760411835583595988513806541118829979105789662405356635519571628860073643366858018893650441584137731703756578440871085830499434529649<208> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4164742776 for P30 x P208 / November 13, 2021 2021 年 11 月 13 日)
5×10252+8 = 5(0)2518<253> = 23 × 13 × 6343 × 43063 × 74717 × 2503103 × 4792331 × 4528997303<10> × 43360138072054580121687105033666857931278314151414772044712110746002688455608934079418223906549286267025570963582619749793407165840657185382965279481857101907007560453379015005181531853323263089839911482206940966371<215>
5×10253+8 = 5(0)2528<254> = 23 × 29 × 89 × 17909 × 140221 × 265768661 × 3552986482444878563911469<25> × [1021198792972397153074046039027913362404655356086286151790452510345578333821736388091857638707964919676565183586716104891766598261519623495291784315119221853875483209972401135152968650633641039033820553483821<208>] Free to factor
5×10254+8 = 5(0)2538<255> = 23 × 127 × 157 × 45774226512414635224331169951561916304612669710917082915863811033700182888687<77> × 68478719315946686952953121046554347900573113849528715669291222983477347407574234663759644321872289577882881657724887300559063746640489040947087271957804204254329631438857957<173> (ebina / Msieve 1.53 for P77 x P173 / November 14, 2021 2021 年 11 月 14 日)
5×10255+8 = 5(0)2548<256> = 23 × 17 × 20641 × [1781149454113315303351125828946955944336942179613960791913296494412890392337352556448188499759188593803879770986927787926371556325645417316192500933322313955377218955989934368204914832557702117715454962567363072354565584772739578850773873814823153233<250>] Free to factor
5×10256+8 = 5(0)2558<257> = 23 × 7 × 19 × 588517 × 4478559247<10> × 667284676815793734223721644144846489<36> × [26718980805995749792124873891459542375027241251313260230341348196383648541229772509735028699348257716292586004812601339857728604616513751879703693968358706833496292514893641524903107598011771138911764927<203>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1203403547 for P36 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10257+8 = 5(0)2568<258> = 23 × 2381 × 35588689 × 44745448131206929<17> × 78262410825289704638841929<26> × [210623365554831227566172589296747461515267401023514521020849560937616333099695921761188160643219217733906419204238036550722473308065095100927562872296320849112258497352739590238299002699194119335109807229<204>] Free to factor
5×10258+8 = 5(0)2578<259> = 23 × 13 × 1478459 × [32518266030321488064989913874461907244689858208393385899153729036059219040282431286172343584148713678852830496535191761775657575270550672641633567841193483838968089799529832699504634945523059430851260046388217003702451726373931859508395617952934050303<251>] Free to factor
5×10259+8 = 5(0)2588<260> = 23 × [6250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<259>] Free to factor
5×10260+8 = 5(0)2598<261> = 23 × 167 × 499 × 363133343 × 1795136386526447<16> × 234335221225233657743<21> × 44845899959343433684609<23> × [109481089318955081676456319741373224778628785799711443410153588127251282104763255121120575903396452533516095362341269224864049290952899949889552434816750440465219196030935491851692609112211<189>] Free to factor
5×10261+8 = 5(0)2608<262> = 23 × 181 × [3453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767955801104972375690607734806629834254143646408839779005524861878453038674033149171270718232044198895027624309392265193370165745856353591160221<259>] Free to factor
5×10262+8 = 5(0)2618<263> = 23 × 7 × 23 × 1367 × 28477 × 498334775373143245216343<24> × [2001106473221344718656182621754462734591016092098922799757546042906465500136642860962150730232724998720814075209513163842810430101383098053978872713241003290239570262608986538653492401157456768894010496948767780216769986045408293<229>] Free to factor
5×10263+8 = 5(0)2628<264> = 23 × 113 × 6353 × 1394462353<10> × [62433247362559712341566701034251530280582300396456815324607769725365524635294464437848578422286411485109889953202434953871791738952989523456833119800672832945214340297498825979950550979921990756734452584710469132827196907486955655143116472907887153<248>] Free to factor
5×10264+8 = 5(0)2638<265> = 23 × 13 × 22807 × 3697684007<10> × 570083810087744720519827134935878722949619395636375647766420280467393926555754915753667897824098318894449285275477497451315632646207797444975794588546826112191712986524882438783772567736295280638107155864511877561562869853665377876848107238967650373<249>
5×10265+8 = 5(0)2648<266> = 23 × 48344434137301<14> × 815799103932789417401<21> × 6490480617242048111524254169<28> × [24415940325202210648865221205362174484046511578711454443368528694498205648949674512418047265251022567460020019247722164262732476784508012597646249082412017517828979424502320594912918608423834320288347629<203>] Free to factor
5×10266+8 = 5(0)2658<267> = 23 × 131 × 659 × 2917 × 110899 × 2519461354265895460139121970316653<34> × 888283401178780516664926925510405380250410503415408155144492767887225896434288675712894523262753204766979865659027218041619693420853888295942448884359666290483437891605866725601828486124076868427184139801997673383909331<219> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1206729773 for P34 x P219 / November 13, 2021 2021 年 11 月 13 日)
5×10267+8 = 5(0)2668<268> = 23 × [625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<267>] Free to factor
5×10268+8 = 5(0)2678<269> = 23 × 7 × 197 × 53635103480813<14> × 69582526812068883328171<23> × 4137377416896519645803681266749929<34> × 293522429256566575397795421175045631617572138588499567217346762542996281720375591148074981570154688848125811958570790041214120564462081443317823670231231859674830339745838493300710171017572328957<195> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3557168274 for P34 x P195 / November 13, 2021 2021 年 11 月 13 日)
5×10269+8 = 5(0)2688<270> = 23 × 5581 × 364093697626467377279630489<27> × 90942572298184355148751414262460641<35> × [338210899415410949536676664315783749883857489817880644030866096273561370396424225144594362760339164875485630960819266261695008729157042513991582788973996367472605572159422904167560784727413233036315381229<204>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3889256080 for P35 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10270+8 = 5(0)2698<271> = 23 × 13 × 287580462383<12> × 3987728718419438491<19> × 41922935160365713252938969632603795599716871194252904393676189737738717902230094674763774935108801574413593797062857131805497720323915856857142618154143864703582661049664269372782875852042717535855815064882413885371672575311270333458152209<239>
5×10271+8 = 5(0)2708<272> = 23 × 17 × 178289 × 2062084922925864252784556996522170052390154385823677551945568876440861219045218387990681355749901102407096475550436452646446796724287368195655896424608690516685896295934591326111966922178234743128555653032601067731076411629103177821336343207475767202819744413646977<265>
5×10272+8 = 5(0)2718<273> = 23 × 59921 × 175039943559167<15> × [5958868481453857618466876206387016783600175104298919959040721826190503934792054465604755926079285374941850465335957075426544156284563228210616587139593795872344629094217219893321877544706503176294746590598799683836287261191952758219861293863108562972943<253>] Free to factor
5×10273+8 = 5(0)2728<274> = 23 × 6581 × 49413853167769<14> × [1921938143992818841425985858873637509963473420326045898412705741712012578080753233223494512399580361557721094018448480379991660761119836301771670409539371456105499001807464898446855614158523758398197268002839944561401544349597703775786159452593743848979109<256>] Free to factor
5×10274+8 = 5(0)2738<275> = 23 × 7 × 19 × 68437 × 24822419 × 713202995644929890162849<24> × 38786460727340305648576809097906176094542998006054124255817890081741052728523604783281026032535756055903845062802908331115030105096828133733794350222715450669676050282645130372649011948444501646888804450979566995386020565705311179146051<236>
5×10275+8 = 5(0)2748<276> = 23 × 2081 × 755901165717119387234953<24> × [39732228281064161757093693249813120324225989685072156417900824392561887668150262304905556893593602071693146149991684519261467590113642606248691163535229826246704638959491842157999056385412970085518215681317862331640258749866251650758378022840060057<248>] Free to factor
5×10276+8 = 5(0)2758<277> = 23 × 13 × 540251 × 9975613127<10> × 65358729053<11> × 16894160851171<14> × [8079068014303619115983624641492113990861210584269426820723286901338570165334182297836315649704143431303334584333410804760639456110049466881132938479843060272275196827605711634507874153168293397689448855344671585073350369683672440623327<235>] Free to factor
5×10277+8 = 5(0)2768<278> = 23 × 61 × 8682700530401<13> × 292364667175816885206899616749<30> × [40361795150754901573251435373708405979505097569790272769437129918986784285585505491692700893682666239093641252495902927780267189903914796870644767121638125623499355742624716698804622821286670694404950925767457557310119369122540389609<233>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:712793835 for P30 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10278+8 = 5(0)2778<279> = 23 × 5741608291499<13> × 923179667002723477<18> × 4263505251877214389351860083052019<34> × [2765625838570327354183194705020170757293316120858016440217984945913614224494459758785274452874514861075955063061283785749100507675026269982938560521462973269461383015687100682727550943669015046499283871884706195373<214>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:522283759 for P34 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10279+8 = 5(0)2788<280> = 23 × 241 × 914321 × 35063318173782404125175287874257<32> × 80893060623842296232464458484450693601205233447326701066721385387219717058656318757843715686383703880918492156443792080175605672768873857035548358629050831572762828673979455496354159894904251938713082331407154791579822585355029836784001713<239> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1917963332 for P32 x P239 / November 13, 2021 2021 年 11 月 13 日)
5×10280+8 = 5(0)2798<281> = 23 × 73 × 47 × 251 × 540980009 × [2855177424794419974236239331493162787872854219354487447218254673757353361302103946573529392718486313441607885757045688706300241165026900175962134527978658019273311575292790350873463696466405140437816243027944543803313122498258417704420660539637790171657001880263059<265>] Free to factor
5×10281+8 = 5(0)2808<282> = 23 × 29 × 641 × 5965022549<10> × 9313933722169577461<19> × [60517190395173259601212591326887317229234479713858646057356648431300232273140054459237918392825561958984630378051464545248061312622035062157057225228074145158813905689107749827938597601544059161254211189802155539869240579839271935443853165278081981<248>] Free to factor
5×10282+8 = 5(0)2818<283> = 23 × 13 × 417844303 × 304039318419363990769<21> × [378435987868084217734138900974839065811309405186914964040992631908905662566648373270318642118808031036345992122029859153067707049722098516967527712088991497758938167542502363043766262451123284033105171424639137708110433624851975475382698598801165042011<252>] Free to factor
5×10283+8 = 5(0)2828<284> = 23 × 64713433 × [96579639037230492778833105639751796199716371097172359871558660780675937869035629743209574432560238304773600868926239780850445687219220776001792394478593030290944385534298574455167600210608514618595493149003546141648828922427898393213044345831567921918158784745664783384309097<275>] Free to factor
5×10284+8 = 5(0)2838<285> = 23 × 23 × 12503 × 17491 × 65929 × [188471992497086525180475942847522271340680596813156285287048763190902469469722609659317313372688625086647394124298073996977667842426445649413309745007617200376862424070527532586061642167837413812965640389349349672992518021821343069559655223713237827503875303927918141011<270>] Free to factor
5×10285+8 = 5(0)2848<286> = 23 × 409 × 70788409 × 87274513201<11> × 197042652662344021646207191129<30> × 21922190793551643187448820883441<32> × [57261526847982507600237199675676962145611829522021028397040745710149631967097441059293496689829024629127219856311249816900364861201720363955419437267161407716811854184887451310542582461935863700897983289<203>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1025591727 for P30, B1=1000000, sigma=1:1716953761 for P32 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10286+8 = 5(0)2858<287> = 23 × 7 × 17463409 × 21585505585607261939<20> × 27509168811196759409<20> × 1224805081367129986459<22> × [70298535663821498586970986685089660342985148853403023710428943607341586805570637529120116306606671015948847590232077925559966025381953852091832281165305215264378770606651795309215122451535292329562675595556822940165303<218>] Free to factor
5×10287+8 = 5(0)2868<288> = 23 × 17 × 116400346300804129<18> × 20195111400945157073<20> × 1563977750530946054466915837452729989264057217703494589295487696705277996501284390577947811878724439702422782092877505537260524591271483595720692203752241368037309852681389566989007592222868216589203479662497426676284612119469679540606618828221527809<250>
5×10288+8 = 5(0)2878<289> = 23 × 132 × 198321660809<12> × 1955255941543949813<19> × [9537170521726867966441685367735102417747287669163180196115872758362665642299374716866791325141831601793640994129561370351651511695957073613400665743293248107765868055036578837314305381832389131856215574314609181576405450394922002672819284559315310173176237<256>] Free to factor
5×10289+8 = 5(0)2888<290> = 23 × 151549 × 37558861 × 87310381 × 566707678961<12> × 6373291356835301<16> × 139487366224765749421928829701<30> × 5768421762801920243796440978449<31> × [4327468292465308474994115381558142447750404607321037192855899969273463370207107084016535498745591663545617129249501110501404437705506956171242286002251410508863699757068958513534101<181>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1966762594 for P30, B1=1000000, sigma=1:1734288519 for P31 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10290+8 = 5(0)2898<291> = 23 × 1979 × 228859399401929<15> × [137995673128081545284531327467997436673795754153688171629480891284675236751706668470509277288026097678793079645655774142231763932009880028588886364305534135186619018396179558182896167557865596042885556076123960437229234444198148002453187064216220306337601121174097264843611<273>] Free to factor
5×10291+8 = 5(0)2908<292> = 23 × 684109437413360297<18> × [913596518070478644708742821349264019684105430768914145176524893607527522749988057481497188896394729887524080777237208869652292930128800295545343955808767545856457717657260615250440709639962325037089658293747646156309286143902565483391293713031218225348326636368565067956633<273>] Free to factor
5×10292+8 = 5(0)2918<293> = 23 × 7 × 19 × 114152940711921871890004939<27> × 411662467124683819923779071284102857379070792513698453126147121184957766508709132843203429095313984755868617668220095723954477647068585568680999162679167519411409934876472377651764492627957439881215577804347221601339514223603501049558806704943099159858161793386823<264>
5×10293+8 = 5(0)2928<294> = 23 × 29956087900969<14> × [2086387254791647568576766444394400155147823099079027586141928174440577456009103259612453565454904827378150309883106343459596737035467530518650666762378791921866905412162012271823217947915131528522128470215299959523799312233338668579814616919526385693539740623573213354596864975129<280>] Free to factor
5×10294+8 = 5(0)2938<295> = 23 × 13 × 2512369 × 390527623 × 21605280831821137244436045408767<32> × [2267992244839926577396310501913468244929584476471400373005251383701152175380051289340351041572381249270683045467778845745890692388757370847555894658886302209376340608606099095754048334356012224888389844123994268759945444773476017358351278600153213<247>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1439559180 for P32 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10295+8 = 5(0)2948<296> = 23 × 97 × 401 × 7489 × 80560273 × 163817122607170464185261253926087569<36> × [1625772814456600833618408114247177166262289728948775346771954113622143228369597072674220174656504078244653378552776156087118150638796193672092982129032838911462909099763957968943929494048801864482299106951489521321474644670955521518513473660081<244>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2963408981 for P36 / November 13, 2021 2021 年 11 月 13 日) Free to factor
5×10296+8 = 5(0)2958<297> = 23 × 127 × 491 × 653 × 2327570023693<13> × 22310010684038035489<20> × 29558275273408530835475815364191184287818165602505809213055130951812947604116733531160648288120469816112840251202435277499249447382114155581680364396099891417811832815577558657434612012143169718050900645238693546146485175826232584446656753595205130662410453<257>
5×10297+8 = 5(0)2968<298> = 23 × 89 × 100550848188029<15> × [69840006689753754564994708306265092422952263485927318585400370957823559849652202888226105714960500181536481597307386036553027533167624886047055243741045439739779976792766140445212357605659270096569559319283037955035238435333000307008919908160292928304564446719687870461477555289821<281>] Free to factor
5×10298+8 = 5(0)2978<299> = 23 × 7 × 45281 × [19718141005215053933059277464215517703735720122284023257941678471260415122078954591487441910356598636451113207368590421084844794568519751267482103815223666817050355399773477996132089460417015020491092132619484047235201140812765997722160351077556969652992267333823394864449611473749633242577303<293>] Free to factor
5×10299+8 = 5(0)2988<300> = 23 × 1090280129<10> × [57324717141570503666402233402531359901543248249001151886535024614761184921127733402907868643729083317082081755522850586594520975627172968498630685398834779644048708513149467846533594853768081468904768051587593411967980570248474188233141686470193386419133756403626062967529329336240704795969<290>] Free to factor
5×10300+8 = 5(0)2998<301> = 23 × 13 × 79411 × 97685059 × 5286242312521<13> × 1229138361514810565333061020553223<34> × [953849852874602889967967330096004942697782054956669533553475128079642860289946999421090494858479370860131088684751734607313040166927914362535352951710018115954350163985462295758959454810115830678287695493692257962099466578003074686062916531<240>] (Eric Jeancolas / ECM for P34 / November 13, 2021 2021 年 11 月 13 日) Free to factor
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