Table of contents 目次

  1. About 900...008 900...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 900...008 900...008 の形の素数
    1. Last updated 最終更新日
    2. Known (probable) prime numbers 既知の (おそらく) 素数
  3. Factor table of 900...008 900...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 900...008 900...008 について

1.1. Classification 分類

Quasi-repdigit of the form ABB...BBC ABB...BBC の形のクワージレプディジット (Quasi-repdigit)

1.2. Sequence 数列

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

1.3. General term 一般項

9×10n+8 (1≤n)

2. Prime numbers of the form 900...008 900...008 の形の素数

2.1. Last updated 最終更新日

February 19, 2023 2023 年 2 月 19 日

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

No prime number of the form 900...008 exists. 900...008 の形の素数は存在しません。

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

3.1. Last updated 最終更新日

January 4, 2024 2024 年 1 月 4 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=206, 208, 209, 210, 212, 213, 215, 216, 217, 218, 219, 222, 226, 228, 229, 231, 234, 238, 241, 242, 243, 244, 245, 247, 249, 250, 251, 253, 254, 255, 257, 259, 260, 261, 262, 265, 267, 269, 271, 272, 273, 274, 276, 278, 281, 283, 284, 285, 286, 287, 288, 291, 292, 293, 298, 299 (56/300)

3.4. Factor table 素因数分解表

9×101+8 = 98 = 2 × 72
9×102+8 = 908 = 22 × 227
9×103+8 = 9008 = 24 × 563
9×104+8 = 90008 = 23 × 11251
9×105+8 = 900008 = 23 × 112501
9×106+8 = 9000008 = 23 × 1125001
9×107+8 = 90000008 = 23 × 7 × 1607143
9×108+8 = 900000008 = 23 × 8761 × 12841
9×109+8 = 9000000008<10> = 23 × 1125000001<10>
9×1010+8 = 90000000008<11> = 23 × 43 × 569 × 459803
9×1011+8 = 900000000008<12> = 23 × 709 × 3467 × 45767
9×1012+8 = 9000000000008<13> = 23 × 1125000000001<13>
9×1013+8 = 90000000000008<14> = 23 × 7 × 11527 × 139424209
9×1014+8 = 900000000000008<15> = 23 × 19 × 83 × 97 × 3539 × 207811
9×1015+8 = 9000000000000008<16> = 23 × 269 × 438527 × 9536827
9×1016+8 = 90000000000000008<17> = 23 × 17 × 4792153 × 138093401
9×1017+8 = 900000000000000008<18> = 23 × 23 × 281 × 277421 × 62744987
9×1018+8 = 9000000000000000008<19> = 23 × 67 × 547 × 3147169 × 9753721
9×1019+8 = 90000000000000000008<20> = 23 × 7 × 461 × 12907 × 270102278009<12>
9×1020+8 = 900000000000000000008<21> = 23 × 112500000000000000001<21>
9×1021+8 = 9000000000000000000008<22> = 23 × 29 × 138101 × 280903856223169<15>
9×1022+8 = 90000000000000000000008<23> = 23 × 1595390441<10> × 7051565379161<13>
9×1023+8 = 900000000000000000000008<24> = 23 × 163 × 1042136527<10> × 662277956101<12>
9×1024+8 = 9000000000000000000000008<25> = 23 × 1125000000000000000000001<25>
9×1025+8 = 90000000000000000000000008<26> = 23 × 7 × 103 × 7907 × 272341 × 275489 × 26301967
9×1026+8 = 900000000000000000000000008<27> = 23 × 179 × 2801 × 503791307 × 445385130017<12>
9×1027+8 = 9000000000000000000000000008<28> = 23 × 61 × 1783 × 2787329 × 13361603 × 277731121
9×1028+8 = 90000000000000000000000000008<29> = 23 × 11250000000000000000000000001<29>
9×1029+8 = 900000000000000000000000000008<30> = 23 × 1049 × 4781383 × 22429701873611833103<20>
9×1030+8 = 9000000000000000000000000000008<31> = 23 × 1609 × 1962449 × 356285460028918389161<21>
9×1031+8 = 90000000000000000000000000000008<32> = 23 × 7 × 43 × 47 × 5563 × 142948337543235995341841<24>
9×1032+8 = 900000000000000000000000000000008<33> = 23 × 17 × 19 × 653659184537<12> × 532842223993222051<18>
9×1033+8 = 9000000000000000000000000000000008<34> = 23 × 443 × 9462251101<10> × 268382582421230830607<21>
9×1034+8 = 90000000000000000000000000000000008<35> = 23 × 601 × 2017 × 735471144841<12> × 12618464602280833<17>
9×1035+8 = 900000000000000000000000000000000008<36> = 23 × 14327 × 182833489 × 8141165983<10> × 5275394051849<13>
9×1036+8 = 9000000000000000000000000000000000008<37> = 23 × 577 × 5012849 × 135689369 × 233791499 × 12260764427<11>
9×1037+8 = 90000000000000000000000000000000000008<38> = 23 × 7 × 827 × 39068663 × 49741677077463976315672243<26>
9×1038+8 = 900000000000000000000000000000000000008<39> = 23 × 107 × 1801 × 2085850749940777<16> × 279879959283267059<18>
9×1039+8 = 9000000000000000000000000000000000000008<40> = 23 × 23 × 846061 × 57812667737031809249235446740067<32>
9×1040+8 = 90000000000000000000000000000000000000008<41> = 23 × 59 × 1523 × 72981563 × 11748844466441<14> × 146013258425371<15>
9×1041+8 = 900000000000000000000000000000000000000008<42> = 23 × 643 × 11791911712009590643<20> × 14837383795281939049<20>
9×1042+8 = 9000000000000000000000000000000000000000008<43> = 23 × 199120739 × 5649838412863664592968389897347659<34>
9×1043+8 = 90000000000000000000000000000000000000000008<44> = 23 × 72 × 89 × 31960360063<11> × 642876606109<12> × 125553016105071923<18>
9×1044+8 = 900000000000000000000000000000000000000000008<45> = 23 × 2399171 × 15286190096209<14> × 3067552915791173898465659<25>
9×1045+8 = 9000000000000000000000000000000000000000000008<46> = 23 × 281 × 193841 × 20653828234796611472355236445851785081<38>
9×1046+8 = 90000000000000000000000000000000000000000000008<47> = 23 × 162741179 × 198342502313<12> × 348529285869640642877419963<27>
9×1047+8 = 900000000000000000000000000000000000000000000008<48> = 23 × 149 × 661 × 23623 × 5570423 × 177305974667<12> × 48957383485712863163<20>
9×1048+8 = 9000000000000000000000000000000000000000000000008<49> = 23 × 17 × 587 × 195359243 × 577074037746220257070808258852538233<36>
9×1049+8 = 90000000000000000000000000000000000000000000000008<50> = 23 × 7 × 29 × 55418719211822660098522167487684729064039408867<47>
9×1050+8 = 900000000000000000000000000000000000000000000000008<51> = 23 × 19 × 1931 × 3881 × 34884581025733051619<20> × 22648502579499654127331<23>
9×1051+8 = 9(0)508<52> = 23 × 67 × 100403 × 3146567 × 53148871366076499462122892369723469903<38>
9×1052+8 = 9(0)518<53> = 23 × 43 × 16045921 × 16304947966323914099197648293730022987527267<44>
9×1053+8 = 9(0)528<54> = 23 × 167 × 4201 × 301957340843<12> × 434414339923<12> × 1222457093178900575756527<25>
9×1054+8 = 9(0)538<55> = 23 × 113 × 58091676971<11> × 2153399171227<13> × 79585806869399643786777470281<29>
9×1055+8 = 9(0)548<56> = 23 × 7 × 83 × 483239945617138667<18> × 40069466792112936748319714658543463<35>
9×1056+8 = 9(0)558<57> = 23 × 1153 × 97571552471812662619254119687771032090199479618386817<53>
9×1057+8 = 9(0)568<58> = 23 × 24585807786140810470777249441<29> × 45758106049872002344517240161<29>
9×1058+8 = 9(0)578<59> = 23 × 9187 × 17467 × 3016607081<10> × 4263643123<10> × 4042422065491<13> × 1348401533573488193<19>
9×1059+8 = 9(0)588<60> = 23 × 103 × 1453169 × 115564091542507<15> × 600945560653787<15> × 10822837361994477291727<23>
9×1060+8 = 9(0)598<61> = 23 × 4993 × 6113 × 259619 × 610327219651<12> × 2570335997507609<16> × 90499764697269560609<20>
9×1061+8 = 9(0)608<62> = 23 × 7 × 23 × 109 × 1301 × 10369 × 22787 × 699541 × 5718360079381<13> × 521331723120680010354291923<27>
9×1062+8 = 9(0)618<63> = 23 × 131 × 283 × 379 × 14561 × 549875512080360690382893084905339410111251352873123<51>
9×1063+8 = 9(0)628<64> = 23 × 198216705505004909467<21> × 2040232239507829122881<22> × 2781843301088005169363<22>
9×1064+8 = 9(0)638<65> = 23 × 172 × 67169 × 28502876528003<14> × 20332796102027506756831203038453874720764587<44>
9×1065+8 = 9(0)648<66> = 23 × 58441 × 666889 × 3421483763<10> × 4177367863<10> × 246114539149<12> × 820591199087078855556929<24>
9×1066+8 = 9(0)658<67> = 23 × 233 × 7210969 × 38053567911497097847028987<26> × 17595742197465728144255904082099<32>
9×1067+8 = 9(0)668<68> = 23 × 7 × 2309 × 146634201421<12> × 1211532193961<13> × 3599981678286044263<19> × 1088328548712975160009<22>
9×1068+8 = 9(0)678<69> = 23 × 19 × 727610732661427331<18> × 8137665328164061645317043244762677313322111977609<49>
9×1069+8 = 9(0)688<70> = 23 × 23741 × 49006895772468923<17> × 152800816780930772401687<24> × 6328060821606316296470761<25>
9×1070+8 = 9(0)698<71> = 23 × 39406216219481208470353<23> × 285487952899125333271602495407927377035024068017<48>
9×1071+8 = 9(0)708<72> = 23 × 96195787 × 9684343247941<13> × 120760887583832200497999119044915072493253510448903<51>
9×1072+8 = 9(0)718<73> = 23 × 48930484448235239736883<23> × 22991801791583835793787024359854007365405441975547<50>
9×1073+8 = 9(0)728<74> = 23 × 7 × 43 × 281 × 133008595311003653302751208900344048899871129449876449793688889939821<69>
9×1074+8 = 9(0)738<75> = 23 × 401 × 7187 × 4600664561<10> × 240818221433<12> × 3164936082641<13> × 348155398019617<15> × 31975144368910358243<20>
9×1075+8 = 9(0)748<76> = 23 × 5003 × 20287 × 77969 × 6501587 × 16483381 × 156978642664381<15> × 1500616889928643<16> × 5631267408077005589<19>
9×1076+8 = 9(0)758<77> = 23 × 2897 × 13683760289<11> × 134001203864440913292173966419<30> × 2117824019180737877769861835559563<34> (Eric Jeancolas / ECM for P30 x P34 / February 7, 2023 2023 年 2 月 7 日)
9×1077+8 = 9(0)768<78> = 23 × 29 × 47 × 2337029 × 35317712349763321584220836234289675776861358521636123620729413498463<68>
9×1078+8 = 9(0)778<79> = 23 × 1091 × 10243 × 100670122977727384054192561632262689424259065657770082503863719319885177<72>
9×1079+8 = 9(0)788<80> = 23 × 7 × 2549 × 18287 × 437029771273787683<18> × 8080066227900232714730147<25> × 9763740734685049358764661261<28>
9×1080+8 = 9(0)798<81> = 23 × 17 × 3209 × 30974011 × 4047303944845027405987212253537<31> × 16450178522700970570511352255849264331<38> (Eric Jeancolas / ECM for P31 x P38 / February 7, 2023 2023 年 2 月 7 日)
9×1081+8 = 9(0)808<82> = 23 × 307 × 1487 × 5147 × 28283 × 43427 × 89561 × 4352560073249601848548352644004748059209558294163288487287<58>
9×1082+8 = 9(0)818<83> = 23 × 3547 × 2821266260283041<16> × 15302932767453594059557729<26> × 73463664616827332427717527646198948947<38>
9×1083+8 = 9(0)828<84> = 23 × 23 × 1640279929<10> × 2981993659343305270988132130241278230440172735853212697733905860173084703<73>
9×1084+8 = 9(0)838<85> = 23 × 67 × 26357734402659019<17> × 637044311912691936673314860662322357401147057121440013749697370337<66>
9×1085+8 = 9(0)848<86> = 23 × 75 × 32869 × 125801626040569<15> × 976659325622276689<18> × 165747304799374379824365505209996692549761267<45>
9×1086+8 = 9(0)858<87> = 23 × 19 × 9883 × 692771 × 165651416561<12> × 2928918144907<13> × 1782452798647660714689289207983973219665564051097489<52>
9×1087+8 = 9(0)868<88> = 23 × 61 × 89 × 20743 × 1812449 × 5511823708224231898224562684368849499418550718970424971261361565797687067<73>
9×1088+8 = 9(0)878<89> = 23 × 127931 × 3997979 × 4939169 × 29079241 × 1352806324655708204205718736363<31> × 113204487016750704505288158071587<33> (Eric Jeancolas / ECM for P31 x P33 / February 7, 2023 2023 年 2 月 7 日)
9×1089+8 = 9(0)888<90> = 23 × 3761 × 29912257378356819994682265354958787556500930603562882212177612337144376495612868917841<86>
9×1090+8 = 9(0)898<91> = 23 × 22823083 × 49292201233286493327829548707332834919804655663741835404095055869533489406317279747<83>
9×1091+8 = 9(0)908<92> = 23 × 7 × 107 × 444752870697782610419384198529298343<36> × 33771623955353994685250287523086309903549906622481043<53> (Eric Jeancolas / ECM for P36 x P53 / February 7, 2023 2023 年 2 月 7 日)
9×1092+8 = 9(0)918<93> = 23 × 35648363 × 117113137 × 364451021939<12> × 145970542348238287817<21> × 236998891130539754899<21> × 2137256313855640917802883<25>
9×1093+8 = 9(0)928<94> = 23 × 103 × 314527 × 34726208233593232507151052307516409059422592364845829062910029703718152092828186050121<86>
9×1094+8 = 9(0)938<95> = 23 × 43 × 433 × 7057 × 21104929427<11> × 74141378489<11> × 209681435713<12> × 260958538081314612648643395497528498985086792699552473<54>
9×1095+8 = 9(0)948<96> = 23 × 409 × 204067 × 14722087 × 136584154335251645741<21> × 262427950139207786613289<24> × 2554327908344882369479447656409233809<37>
9×1096+8 = 9(0)958<97> = 23 × 17 × 83 × 630689 × 12323611 × 685019367815132919754067<24> × 149750892857591937087491068637460169712833623334971243787<57>
9×1097+8 = 9(0)968<98> = 23 × 7 × 33529 × 447961 × 14943847 × 483332435822635122978212507512358987<36> × 14814442839499614394755889351608288003331523<44> (Eric Jeancolas / ECM for P36 x P44 / February 7, 2023 2023 年 2 月 7 日)
9×1098+8 = 9(0)978<99> = 23 × 59 × 5209 × 33851 × 1126550716649<13> × 9598953821655611310356251124552539485505893709246317586188490149229352009129<76>
9×1099+8 = 9(0)988<100> = 23 × 18763482389<11> × 4636351424803169<16> × 2920824237296815807<19> × 4427487132149163149219535129186787622208491824096829923<55>
9×10100+8 = 9(0)998<101> = 23 × 197699 × 2945111939110697<16> × 39334226836024614451<20> × 491219530407566329965656406904866036882184735650305958369217<60>
9×10101+8 = 9(0)1008<102> = 23 × 281 × 4391683 × 859925365287586647218483<24> × 1723509727689787565493546584327<31> × 61509290799800215104853902458280858407<38> (Eric Jeancolas / ECM for P31 x P38 / February 7, 2023 2023 年 2 月 7 日)
9×10102+8 = 9(0)1018<103> = 23 × 74719543979<11> × 15056301739691858083790353695943291993521924221913886528271527153507549112233052859060463619<92>
9×10103+8 = 9(0)1028<104> = 23 × 7 × 2621 × 331904663 × 382725532895601007163<21> × 4827104170249687184537192021928736115899499703715841034995531637185807<70>
9×10104+8 = 9(0)1038<105> = 23 × 19 × 163 × 2833 × 6341331385769<13> × 174559490413890686379934092512607712753177<42> × 11583527338027102663182461168590034538775577<44> (Eric Jeancolas / yafu-1.34 for P42 x P44 / February 7, 2023 2023 年 2 月 7 日)
9×10105+8 = 9(0)1048<106> = 23 × 23 × 292 × 24509 × 346963 × 1533487 × 40251163 × 81682474304188666697373099189709<32> × 1356539730302177306059783185716772175604950249<46> (Eric Jeancolas / ECM for P32 x P46 / February 7, 2023 2023 年 2 月 7 日)
9×10106+8 = 9(0)1058<107> = 23 × 1873 × 13513 × 79873 × 5335809497387<13> × 15074020723043<14> × 541255689095819<15> × 127829495147181231838075979743048920730864496463525947<54>
9×10107+8 = 9(0)1068<108> = 23 × 9136560649<10> × 769624468769078476450427<24> × 18014048730666716151986278438703<32> × 888136218172349304495208831982426605604629<42> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1115858344 for P32 x P42 / February 7, 2023 2023 年 2 月 7 日)
9×10108+8 = 9(0)1078<109> = 23 × 156810286399759859<18> × 7174274250937933606075567286981860858356694583834307919445624802698425476415332933110004539<91>
9×10109+8 = 9(0)1088<110> = 23 × 7 × 547 × 14366094644275680976436441<26> × 571003362648311534603384929<27> × 358170461931755423590504890658638258710074695249969221<54>
9×10110+8 = 9(0)1098<111> = 23 × 97 × 6159924150853898150606766182335529<34> × 188280534959544475904697928839407451269294752172435747246374303394059080377<75> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:202147113 for P34 x P75 / February 7, 2023 2023 年 2 月 7 日)
9×10111+8 = 9(0)1108<112> = 23 × 3581 × 376781066788798429<18> × 4608103364678518216866947<25> × 180940971511072605207519197577644030413206613400782653051820292467<66>
9×10112+8 = 9(0)1118<113> = 23 × 17 × 1933645301412323<16> × 235790892914599727596453381651806889<36> × 1451442253432721071322245159246027245471030509057059417566499<61> (Eric Jeancolas / ECM for P36 x P61 / February 7, 2023 2023 年 2 月 7 日)
9×10113+8 = 9(0)1128<114> = 23 × 223 × 281990848655883947<18> × 1798804606524197463950704719597883<34> × 994554653472927758788648899167356781240483958168364258146887<60> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2406010743 for P34 x P60 / February 7, 2023 2023 年 2 月 7 日)
9×10114+8 = 9(0)1138<115> = 23 × 929 × 1217 × 51417193 × 21450535625418267659041<23> × 607089383847614887695251<24> × 1486096758880992746311705845520406688676122262642336739<55>
9×10115+8 = 9(0)1148<116> = 23 × 7 × 43 × 227 × 35089 × 16193369 × 21486345421<11> × 74538375901649771849<20> × 180929543244490204241754110179143214773022201298616406617280998589667<69>
9×10116+8 = 9(0)1158<117> = 23 × 337 × 23747 × 202375001 × 169499197680234901463525243<27> × 409816423237254356705727062514480204179594128129229607990932139372063617513<75>
9×10117+8 = 9(0)1168<118> = 23 × 67 × 263 × 11827 × 6641177588580923<16> × 812834784925831717227454807353353933007639801094816575182355132933890551722347492808638179261<93>
9×10118+8 = 9(0)1178<119> = 23 × 181646619857<12> × 24546607503945759325293529613103817<35> × 2523095699201524655251277325390228764514372371557968314963858375550693929<73> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2227995838 for P35 x P73 / February 7, 2023 2023 年 2 月 7 日)
9×10119+8 = 9(0)1188<120> = 23 × 2801385219005051007980983519331731427<37> × 40158704071393602246756709100612695408403962592921037146563890780217330742313596363<83> (Eric Jeancolas / cado-nfs-3.0.0 for P37 x P83 / February 7, 2023 2023 年 2 月 7 日)
9×10120+8 = 9(0)1198<121> = 23 × 5452086056227<13> × 21592718697688051<17> × 30744595688761990660238503146870261888881<41> × 310823400297390726120395828128808977759447301141273<51> (Eric Jeancolas / ECM for P41 x P51 / February 7, 2023 2023 年 2 月 7 日)
9×10121+8 = 9(0)1208<122> = 23 × 7 × 1847 × 191827 × 43947025043529249177901<23> × 13482251550423762011266318561067906054355467<44> × 7655718304499076938709819158610216719959251541<46> (Eric Jeancolas / yafu-1.34 for P44 x P46 / February 7, 2023 2023 年 2 月 7 日)
9×10122+8 = 9(0)1218<123> = 23 × 19 × 30545899 × 66716761541033<14> × 9849087615057244108883<22> × 294995269609399044853490531727459140980638105572602132498863090425060054901139<78>
9×10123+8 = 9(0)1228<124> = 23 × 47 × 23936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106383<122>
9×10124+8 = 9(0)1238<125> = 23 × 347 × 571 × 465475316302267<15> × 121980464746879247612009457522402321730157900386735279991393104339155331339897749477647452011208673155019<105>
9×10125+8 = 9(0)1248<126> = 23 × 23509 × 252169 × 15707084006858497699803638667853634808383<41> × 1208178502053133622789776298184946823371930310253006829963064064431118556907<76> (Dmitry Domanov / Msieve 1.54 snfs for P41 x P76 / February 22, 2023 2023 年 2 月 22 日)
9×10126+8 = 9(0)1258<127> = 23 × 215040361741210276416423376012060148109817<42> × 5231576020848951660256077402721967247661202084710895373806277247868422276299109294153<85> (Eric Jeancolas / cado-nfs-3.0.0 for P42 x P85 / February 7, 2023 2023 年 2 月 7 日)
9×10127+8 = 9(0)1268<128> = 23 × 72 × 23 × 103 × 85057781 × 51647469726573798663330274067<29> × 2316975530263791429292005406298883578051947<43> × 9521532105851712083678357458955658376195709<43> (Eric Jeancolas / yafu-1.34 for P43(2316...) x P43(9521...) / February 7, 2023 2023 年 2 月 7 日)
9×10128+8 = 9(0)1278<129> = 23 × 17 × 4201 × 1815697704257273279429185204806032833526357124463381241<55> × 867575691508278295562438924432208297981940002123459961383962162906833<69> (Rytis Slatkevicius / yafu2 for P55 x P69 / February 20, 2023 2023 年 2 月 20 日)
9×10129+8 = 9(0)1288<130> = 23 × 281 × 740479951292018000600179509156212697900019126009<48> × 5406707787125966313417263246281381222585217507937984715391726781919159041243569<79> (Bob Backstrom / Msieve 1.44 snfs for P48 x P79 / February 27, 2023 2023 年 2 月 27 日)
9×10130+8 = 9(0)1298<131> = 23 × 40585888876673366609<20> × 53297925345701939463520338640178285927508723863291<50> × 5200764113702538884584389603370872237250950474264113749293379<61> (Lionel Debroux / CADO-NFS for P50 x P61 / March 12, 2023 2023 年 3 月 12 日)
9×10131+8 = 9(0)1308<132> = 23 × 89 × 54583 × 7921177507<10> × 54938867801<11> × 43738936257389120281<20> × 26748484175700555320013301<26> × 1191137373008105569064796809<28> × 38186197963914046862254686883241<32>
9×10132+8 = 9(0)1318<133> = 23 × 2803 × 21287753 × 108751256798332553106094781008723<33> × 173366554295913768356083783953222163697858101388245770615427887135582398614751766771228593<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1664825265 for P33 x P90 / February 7, 2023 2023 年 2 月 7 日)
9×10133+8 = 9(0)1328<134> = 23 × 7 × 29 × 8089 × 313589 × 1066936292696459461847244758306025723145075727107<49> × 20476811889759420170631159967816629507606686837953480198429977616159581061<74> (Bob Backstrom / GMP-ECM 7.0.4 B1=39370000, sigma=1:2432417904 for P49 x P74 / March 2, 2023 2023 年 3 月 2 日)
9×10134+8 = 9(0)1338<135> = 23 × 497152433 × 3949529770171<13> × 57295110530106703701739548308031607382749118707710962423198172097154685201886447589751102938801781711709863703907<113>
9×10135+8 = 9(0)1348<136> = 23 × 24203 × 46481841094079246374416394661818782795521216378134941949345122505474527951080444572986819815725323307028054373424782051811758872867<131>
9×10136+8 = 9(0)1358<137> = 23 × 43 × 261627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627907<135>
9×10137+8 = 9(0)1368<138> = 23 × 83 × 126265264462802459226324986327854279318810961<45> × 10734715462036615524613545120810771473909932826740037139989634578221732362180350068127102827<92> (Bob Backstrom / Msieve 1.44 snfs for P45 x P92 / February 21, 2023 2023 年 2 月 21 日)
9×10138+8 = 9(0)1378<139> = 23 × 193 × 2659308707105459<16> × 6473726076164713<16> × 338588449640475607330317982158548619596362340431791173719357736640224722583133989980387518305743400538371<105>
9×10139+8 = 9(0)1388<140> = 23 × 7 × 55807 × 1387292483<10> × 272033071181<12> × 3986983789321184154684681613547151217994797708283<49> × 19139544505937263801040827762478000502223247237738900641564254461<65> (Lionel Debroux / CADO-NFS for P49 x P65 / March 15, 2023 2023 年 3 月 15 日)
9×10140+8 = 9(0)1398<141> = 23 × 19 × 1996692455814826403593019669220299349306526127537<49> × 2965430461929920163905015985407513347568420146403230906138332941516355119534041376401961867<91> (Bob Backstrom / Msieve 1.44 snfs for P49 x P91 / February 22, 2023 2023 年 2 月 22 日)
9×10141+8 = 9(0)1408<142> = 23 × 13261078888504324319150287<26> × 52188009129288557378292949<26> × 1625559738147874684982549807778405097521119871503990067686328028063682537051441044637661427<91>
9×10142+8 = 9(0)1418<143> = 23 × 9787 × 1149484009400224787984060488402983549606621027894145294778788188413201185245734137120670276897925819965260038827015428629815060794932052723<139>
9×10143+8 = 9(0)1428<144> = 23 × 375489719861<12> × 226029274035378127427<21> × 8358883487557536346109033176133881<34> × 158577478925465898585407406897919304209437866390030738808533792137200846365143<78> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2503061858 for P34 x P78 / February 7, 2023 2023 年 2 月 7 日)
9×10144+8 = 9(0)1438<145> = 23 × 17 × 107 × 410983219 × 1471083217<10> × 109361296187706658387<21> × 50511057580384442098115001168400153687015414169<47> × 185186098670105247464606092158760623598590359280942956291<57> (Eric Jeancolas / ECM for P47 x P57 / February 7, 2023 2023 年 2 月 7 日)
9×10145+8 = 9(0)1448<146> = 23 × 7 × 2347 × 1637381 × 5509815153392855043881<22> × 75902244248361658380765010404749123780924710558190755729950366258652555763985595365789888684706732686699705417529<113>
9×10146+8 = 9(0)1458<147> = 23 × 4691 × 8040503067518249163910428732121133134660627259<46> × 2982660807277789222883888915212627555980932443970253547607103053631834161001757610913033687964129<97> (Bob Backstrom / Msieve 1.44 snfs for P46 x P97 / February 23, 2023 2023 年 2 月 23 日)
9×10147+8 = 9(0)1468<148> = 23 × 61 × 2063 × 2203 × 6581 × 35731261 × 171810689 × 36497690158427<14> × 2752030031436247388289920030631897081651411021983941238862385588621969432322910145440295933606650182633203<106>
9×10148+8 = 9(0)1478<149> = 23 × 643 × 953 × 160529976753657697<18> × 2822880194774012209801<22> × 40513527558308983793916872715673676687893001699325524141255013946516672220711156220908444238178679452427<104>
9×10149+8 = 9(0)1488<150> = 23 × 23 × 4612867969336307<16> × 7247328636036051444282553927265012291465996732424438205875707<61> × 146310571575883879090877178382097913539290706025275870040397493967449063<72> (Bob Backstrom / Msieve 1.44 snfs for P61 x P72 / February 25, 2023 2023 年 2 月 25 日)
9×10150+8 = 9(0)1498<151> = 23 × 67 × 523 × 1019 × 26409978972473<14> × 30688708321224187887193655441612562702341870507624301560486579<62> × 38873637629460264099701517592537672236237985947009909022666453401257<68> (Bob Backstrom / Msieve 1.44 snfs for P62 x P68 / February 25, 2023 2023 年 2 月 25 日)
9×10151+8 = 9(0)1508<152> = 23 × 7 × 450916405998422286174551641988856184551552755186870275553035129<63> × 3564170289134435227443382326583556996587109014078533786957553332082910701848759568891567<88> (Bob Backstrom / Msieve 1.44 snfs for P63 x P88 / February 26, 2023 2023 年 2 月 26 日)
9×10152+8 = 9(0)1518<153> = 23 × 81151015073<11> × 117661313481936713<18> × 11782158849540041148093271071789755241571195001493002121062791057214517947471530556933126488624988369441347657992522216047449<125>
9×10153+8 = 9(0)1528<154> = 23 × 6127067 × 2309728058959297650754813899883<31> × 149209414964737828020446898825661<33> × 532773745614505626844942542117457087109105613232256090485203451817841040402827863981<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2527712598 for P31, cado-nfs-3.0.0 for P33 x P84 / February 7, 2023 2023 年 2 月 7 日)
9×10154+8 = 9(0)1538<155> = 23 × 2991907 × 69589836960120637278801209<26> × 6246171744161689439524292654941452360371720258285607447793<58> × 8650569351446268640008489948853154381876206578382034756514449939<64> (Bob Backstrom / Msieve 1.44 snfs for P58 x P64 / March 2, 2023 2023 年 3 月 2 日)
9×10155+8 = 9(0)1548<156> = 23 × 967 × 1291163 × 38267785781<11> × 24701957456581<14> × 95319174497126927386614641226482405831601993580940260941413994483766238285631388734809755510150328937373307613887891963821<122>
9×10156+8 = 9(0)1558<157> = 23 × 59 × 58077489642853864131619508322616402619594169174265470263906973116579<68> × 328316473859776851692027054784441902202337629195768993473121550973547929577719762371441<87> (Bob Backstrom / Msieve 1.44 snfs for P68 x P87 / February 28, 2023 2023 年 2 月 28 日)
9×10157+8 = 9(0)1568<158> = 23 × 7 × 43 × 281 × 321961 × 10180327 × 71803312832706004909069<23> × 8034400246674111715019271263<28> × 70342332676244055564010490577290039034244268007645253354015100311144935650431711648805569<89>
9×10158+8 = 9(0)1578<159> = 23 × 19 × 2266161059<10> × 149435047995251<15> × 17484599207550293520767741425730106124408532745309358727791040729458149421698225178678543570376077297679840488692969608125174019308531<134>
9×10159+8 = 9(0)1588<160> = 23 × 646407241 × 213263911706220668188416283208242501327726447110790166963<57> × 8160728676538214840235326250090941922011611801903125922258496237176218627024984226027607075747<94> (Bob Backstrom / Msieve 1.44 snfs for P57 x P94 / March 3, 2023 2023 年 3 月 3 日)
9×10160+8 = 9(0)1598<161> = 23 × 17 × 2674608559001<13> × 113271931320574019175771030396770416413798342963531871163<57> × 2184344158853196972328432000951346329475294185355292222425799490279036413771938188512291131<91> (Bob Backstrom / Msieve 1.44 snfs for P57 x P91 / March 4, 2023 2023 年 3 月 4 日)
9×10161+8 = 9(0)1608<162> = 23 × 29 × 103 × 26242189 × 2031720175717789<16> × 706404321639246169576111919153590453783556344715427996979635734826390578160742097571504194965224604807363548061905826096634639538326363<135>
9×10162+8 = 9(0)1618<163> = 23 × 839844604387<12> × 1807416027449<13> × 165564595670657<15> × 4476390692451801351307211840800265395565843074160452343280689088562728501978648218856704906162013920417872351530204976827811<124>
9×10163+8 = 9(0)1628<164> = 23 × 7 × 7583 × 8849 × 63545678741455796993123378792535222481311850975497800415811134573582530750627<77> × 376906136635080354631361512091147073394896702589956658158564714779373573894227<78> (Bob Backstrom / Msieve 1.44 snfs for P77 x P78 / March 17, 2023 2023 年 3 月 17 日)
9×10164+8 = 9(0)1638<165> = 23 × 112500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<165>
9×10165+8 = 9(0)1648<166> = 23 × 4656391521896362080322309561706407<34> × 286486126386342660780060240431492118900829299161621<51> × 843333665115258060842970579976277899240803273571358188320869194796748229773609083<81> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3364348983 for P34 / February 7, 2023 2023 年 2 月 7 日) (Bob Backstrom / Msieve 1.44 snfs for P51 x P81 / March 10, 2023 2023 年 3 月 10 日)
9×10166+8 = 9(0)1658<167> = 23 × 113 × 348419 × 2209699 × 17131289912807382415430777081<29> × 7548298482790326448474617955778551238092240518236102251754645585309317825211384688377284614505761052636791967870671501692657<124>
9×10167+8 = 9(0)1668<168> = 23 × 17266138662486967596585370141483<32> × 1603918416917025925815110607924000683021525327938646341<55> × 4062328352324588436628415465766560192372262607650681428682520811174423730499107367<82> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1911355347 for P32 / February 7, 2023 2023 年 2 月 7 日) (Bob Backstrom / Msieve 1.44 snfs for P55 x P82 / March 10, 2023 2023 年 3 月 10 日)
9×10168+8 = 9(0)1678<169> = 23 × 761 × 12744440406541500489479287497679177<35> × 2062664535706682789476572049728892187931207192179396047561<58> × 56236527138806815033645536748914964174537565798275900035894280064071935353<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4141200229 for P35 / February 7, 2023 2023 年 2 月 7 日) (anonymous / GGNFS+Msieve 1.54, snfs for P58 x P74 / March 12, 2023 2023 年 3 月 12 日)
9×10169+8 = 9(0)1688<170> = 23 × 72 × 47 × 109 × 58279267 × 402257022547<12> × 435999575417981<15> × 99473924411910239291746814605469803<35> × 44077712995107095471266479928473841058173582005124272188453268377277321416948685681293454796909<95> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1983581504 for P35 x P95 / February 7, 2023 2023 年 2 月 7 日)
9×10170+8 = 9(0)1698<171> = 23 × 419 × 12281 × 27953 × 782125316270083296109181412478616609470544578434277144403373342259661111681297345129444304414230272525417836968636312640601656991644562761641961373977109139603<159>
9×10171+8 = 9(0)1708<172> = 23 × 23 × 353546288869<12> × 9297229025761640553635918080387<31> × 3303614411794355164986540202285862860241114441732167<52> × 4504385192623408573972865709402929327733173649297768358352780476912803843887<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2271831573 for P31 / February 7, 2023 2023 年 2 月 7 日) (Norman Powell / YAFU v1.35, r373. for P52 x P76 / March 30, 2023 2023 年 3 月 30 日)
9×10172+8 = 9(0)1718<173> = 23 × 135030291604731473<18> × 51662356979068426871310073<26> × 66206189127899043488803253480129429128133630029064045707<56> × 24358386126792773048262628471603530285754688979834950729922369149755414667<74> (Ignacio Santos / GNFS, Msieve for P56 x P74 / April 16, 2023 2023 年 4 月 16 日)
9×10173+8 = 9(0)1728<174> = 23 × 181 × 202168963676909<15> × 510669351423776107<18> × 757551173930724056974694296968738809499557235809<48> × 7947081984301648617961409364899487537641638447280997340331920333648471004437858710439899763<91> (Bob Backstrom / GMP-ECM 7.0.4 B1=34300000, sigma=1:910984806 for P48 x P91 / March 12, 2023 2023 年 3 月 12 日)
9×10174+8 = 9(0)1738<175> = 23 × 134153 × 745033 × 21486067 × 140595019 × 319481977 × 27583625093865478409<20> × 75307183375356623417<20> × 21881318684111237118023781588195105318563<41> × 256591439357970855220621057645376447845154825732353273814371<60> (Rytis Slatkevicius / yafu2 for P41 x P60 / February 20, 2023 2023 年 2 月 20 日)
9×10175+8 = 9(0)1748<176> = 23 × 7 × 89 × 947 × 92394815117483<14> × 3718277332370989523878161848217914502581683<43> × 2683267942017266782378069687047835651464885956387<49> × 20685264329508459308790651394962126561721834417220323613610933847<65> (Bob Backstrom / GMP-ECM 7.0.4 B1=34670000, sigma=1:4023554226, Msieve 1.44 gnfs for P43 x P49 x P65 / March 13, 2023 2023 年 3 月 13 日)
9×10176+8 = 9(0)1758<177> = 23 × 17 × 19 × 6091 × 17192796667<11> × 5664656038576246801<19> × 46246920043867535007996517915337596032331818727143289<53> × 12695754459705895143506532782917942514624333396834498368998478783723886109172666316057339<89> (Ignacio Santos / GNFS, Msieve for P53 x P89 / April 18, 2023 2023 年 4 月 18 日)
9×10177+8 = 9(0)1768<178> = 23 × 41387 × 361769 × 9823048349<10> × 39418900009<11> × 1327777300388046661<19> × 17882873657007287542421<23> × 8172292367890729422280732346594487000115041648073649032123129250861135080996291676341389523893047585429527<106>
9×10178+8 = 9(0)1778<179> = 23 × 43 × 83 × 238307 × 414310968888923<15> × 20635124920068851<17> × 11943120945474106429444045044028245193<38> × 409114067919584342031985497767498396996804729921<48> × 316645556137350682861828396605871963666889904618455363<54> (Ignacio Santos / GNFS, Msieve for P38 x P48 x P54 / April 20, 2023 2023 年 4 月 20 日)
9×10179+8 = 9(0)1788<180> = 23 × 866570713424389<15> × 1310148512172863219259244152923<31> × 148600238638294391739679232724103431643867286364830648452534967<63> × 666819789416339553133171238696091628651232375530916632644743224971066049<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:506947804 for P31 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GNFS, Msieve for P63 x P72 / April 29, 2023 2023 年 4 月 29 日)
9×10180+8 = 9(0)1798<181> = 23 × 5864419601<10> × 11652034283<11> × 7222976021802360616048231181353<31> × 2279342345710042083742561009060823370650902007333385382564842185290556897598607487787238681355659329444484320266807065919820964699<130> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2929389739 for P31 x P130 / February 7, 2023 2023 年 2 月 7 日)
9×10181+8 = 9(0)1808<182> = 23 × 7 × 863 × 1103 × 9041 × 5734708843<10> × 1728512767503984262713290589846571698260481934583<49> × 35615943033245651524653085311723966189850032631423928641<56> × 528960560437580521555224877775905851853627549455531933283<57> (Bob Backstrom / GMP-ECM 7.0.4 B1=34600000, sigma=1:3873213758, Msieve 1.44 gnfs for P49 x P56 x P57 / March 19, 2023 2023 年 3 月 19 日)
9×10182+8 = 9(0)1818<183> = 23 × 12606593062470959124984337<26> × 17359208125212948794564819<26> × 54776654557265211832710772966297<32> × 9384894042216372342059438778002742391673287868753838561644894313156934329960956774366229860959594211<100> (Eric Jeancolas / ECM for P32 x P100 / February 7, 2023 2023 年 2 月 7 日)
9×10183+8 = 9(0)1828<184> = 23 × 67 × 226409 × 502291884981627607<18> × 769852317627896239039830614874642601<36> × 14127268102992266004709654634280711829567<41> × 13575700953861470042757251998169696173735216752841799194683919286745877942781157443<83> (Bob Backstrom / GMP-ECM 7.0.4 B1=30240000, sigma=1:1329011935, Msieve 1.44 gnfs for P36 x P41 x P83 / March 18, 2023 2023 年 3 月 18 日)
9×10184+8 = 9(0)1838<185> = 23 × 11250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<185>
9×10185+8 = 9(0)1848<186> = 23 × 163 × 281 × 67307 × 483154272388387<15> × 12210966156951838875654761803653547267<38> × 3727563396068397187224971550027341057401<40> × 1659347992542127886767927635495570838344704252726092424565783105743451941844700614889<85> (Bob Backstrom / GMP-ECM 7.0.4 B1=30040000, sigma=1:516482007 for P38 x P40 x P85 / March 22, 2023 2023 年 3 月 22 日)
9×10186+8 = 9(0)1858<187> = 23 × 7019 × 5070747636193305490645900499<28> × 3134817370972725771606210015623580779<37> × 10083075950208682954408273627019980559494644891955871510916037495399751056935484682369215449388725639129631284839397299<119> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3819056649 for P37 x P119 / February 7, 2023 2023 年 2 月 7 日)
9×10187+8 = 9(0)1868<188> = 23 × 7 × 23663 × 51347 × 1322725128439129027961811578596267109526107448124730710873669568542690071762408380110965673178667082497271749795531709345184023361610496652425669829712826685213390895262984543363<178>
9×10188+8 = 9(0)1878<189> = 23 × 3656621650393<13> × 6153059484139411<16> × 5000130997685287847389437499160074450300017323943786212747832247412835136479520756845949734026203522089104952492494006954805495698508750578361649877575751069587<160>
9×10189+8 = 9(0)1888<190> = 23 × 29 × 3607 × 419603 × 25631250650818891212843805101564975680315595900562823461995997598008605876221950443441880578872912271185753773578038613080351548534605718963770150402448880461327700603189464764289<179>
9×10190+8 = 9(0)1898<191> = 23 × 13691 × 72844240307<11> × 219623205371<12> × 1541130584803<13> × 59081228031472931<17> × 3231172073522371849401561624668198349009791051254880173498533259<64> × 174580152315239684253999073947403071511957797888689705743244825263656049<72> (Eric Jeancolas / cado-nfs-3.0.0 for P64 x P72 / June 22, 2023 2023 年 6 月 22 日)
9×10191+8 = 9(0)1908<192> = 23 × 12487 × 474175463 × 159876535607<12> × 1055715134816970177552864793628273141<37> × 882846819997137253027741547561068622046337028497386584587501<60> × 127508313104149669575211567389743112740382304452216321337753138869182183<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:925228193 for P37 / February 7, 2023 2023 年 2 月 7 日) (Florian Baur / CADO-NFS for P60 x P72 / February 24, 2023 2023 年 2 月 24 日)
9×10192+8 = 9(0)1918<193> = 23 × 17 × 131 × 505163897620116748989672204759766502020655590480466995958688819039066008082622361921867983834755276156264032330489447687471935339021104625056129321957790749887741356084418500224517287831163<189>
9×10193+8 = 9(0)1928<194> = 23 × 7 × 23 × 14783 × 368967495089<12> × 441322993607060524386674452765142410386071003<45> × 1890274099536510475912954082110394851762189969603793983243<58> × 15356584101851699666067840307190367361303581960083547863543985583484378167<74> (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:1425382364 for P45 / February 22, 2023 2023 年 2 月 22 日) (Florian Baur / CADO-NFS for P58 x P74 / February 24, 2023 2023 年 2 月 24 日)
9×10194+8 = 9(0)1938<195> = 23 × 19 × 257 × 43291 × 223361 × 450419522659<12> × 25642380306676759003916899<26> × 4097444317274785278497142843732857<34> × 50346841640008844264132579352787089621655330398217309392940898785726055691212264775082564326461784424433812481<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:449504071 for P34 x P110 / February 7, 2023 2023 年 2 月 7 日)
9×10195+8 = 9(0)1948<196> = 23 × 103 × 149 × 467 × 7823 × 15923 × 7518601 × 167601107956159434026097205557212150962598963687167480853704890450513822978350612490581992182430203130334303761976969413892271031735522540390004512772903978726600405824078981<174>
9×10196+8 = 9(0)1958<197> = 23 × 3827211029564496656994831001<28> × 783142813212995483326191042702613279849751000963829972351061544243<66> × 3753437131915817982214603666029272214917233862460633238803445040881640449342779603872446721891430045107<103> (ebina / Msieve 1.53 snfs for P66 x P103 / March 21, 2023 2023 年 3 月 21 日)
9×10197+8 = 9(0)1968<198> = 23 × 107 × 2741 × 7901 × 2911188326411931814645897233376523466459893516185122059238771739278593906328435209<82> × 16676593637241968811040182098770928200096803462692937035988403455402754081106087176060005500045963097698347<107> (Bob Backstrom / Msieve 1.44 snfs for P82 x P107 / April 26, 2023 2023 年 4 月 26 日)
9×10198+8 = 9(0)1978<199> = 23 × 1249 × 74507 × 543794947 × 2378367143686478933059927214706507658470435836291298054751331<61> × 9347144200010891509083557551981883039790271558677663069026809128313575030872305672763895014735884956557876703647240421451<121> (Bob Backstrom / Msieve 1.44 snfs for P61 x P121 / April 29, 2023 2023 年 4 月 29 日)
9×10199+8 = 9(0)1988<200> = 23 × 7 × 43 × 18329 × 767707 × 45433709 × 522812989 × 16433731063<11> × 1404877657021938723474954939749<31> × 47279544487364189208247625843317981<35> × 3010231082745320823406611605908457592089<40> × 34031366921177760294743815848961479797596903256632114849<56> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2467870123 for P31 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2896386215 for P35 / February 25, 2023 2023 年 2 月 25 日) (Dmitry Domanov / Msieve 1.54 gnfs for P40 x P56 / February 28, 2023 2023 年 2 月 28 日)
9×10200+8 = 9(0)1998<201> = 23 × 547 × 809 × 3929 × 64704523855665598306021071645330967254347795605186723144509737149996026250750711231982433645466211787383923096557990974848519333338167288487397784876112637927304814839558889832264231221824203<191>
9×10201+8 = 9(0)2008<202> = 23 × 567107 × 1559540929<10> × 12658224506701<14> × 3781421094759354216149261<25> × 7557551320359627513236230409<28> × 33645527025904165589877105975803<32> × 104509184848752238038802406483853515750805893801220306316966977366532901501185238172401761<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3818498750 for P32 x P90 / February 7, 2023 2023 年 2 月 7 日)
9×10202+8 = 9(0)2018<203> = 23 × 2442648696263593<16> × 1125853877981713029176803<25> × 15927688484578518471864765817<29> × 437977852557602289235360502341087187<36> × 586414338139997825540692205399703615897124942273763051575518535361391417538666008482122585560729161<99> (Rytis Slatkevicius / yafu2 for P36 x P99 / February 21, 2023 2023 年 2 月 21 日)
9×10203+8 = 9(0)2028<204> = 23 × 229 × 283 × 4201 × 2187463 × 315717017467<12> × 567306938271529<15> × 39107169213794468456345016934766758124581328324896929572963<59> × 26968993594229582423275672308812072609903166757359457878587573689612646879979804638851436206513809410129<104> (Bob Backstrom / Msieve 1.44 snfs for P59 x P104 / September 25, 2023 2023 年 9 月 25 日)
9×10204+8 = 9(0)2038<205> = 23 × 179 × 225859 × 423763 × 79750093309997985889769<23> × 38542738890907845504220004168483<32> × 21363149675606169767848342500643747710595693396015365183892595106491373806667044430734638479494943188341120910126842435597646181315624041<137> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1092936702 for P32 x P137 / February 7, 2023 2023 年 2 月 7 日)
9×10205+8 = 9(0)2048<206> = 23 × 7 × 1069 × 8221 × 322797703 × 38116625747<11> × 436202624463984583831839567577706143871354503040201593991984764040227<69> × 34073674561835965185844365682010229675457025671319777281759811073009265324044196728319545528259859385613520801<110> (Bob Backstrom / Msieve 1.44 snfs for P69 x P110 / December 14, 2023 2023 年 12 月 14 日)
9×10206+8 = 9(0)2058<207> = 23 × 97 × 495347 × 36918587 × 234470193254851<15> × [270482105829101108830064990958198948231638464286609283720862742486766420172207410974972073527522353771468154840748752932007261167132348098620854193274944737427327394844082073547<177>] Free to factor
9×10207+8 = 9(0)2068<208> = 23 × 61 × 18663770815181<14> × 28506475121063<14> × 34664087740895616301923887148554895993747185754271658889487229745379597196125808603296123614926051123121824801210347111646168073928303974512724602652044706601876519749752292123247<179>
9×10208+8 = 9(0)2078<209> = 23 × 17 × 683 × 15313 × 107099 × 404028127415319498697<21> × [1462263361518162602326900119961029287391168120362693636813973982731237833377156493005982080735718848849424228617335506925497941014173429946543714826453967196625166649980972369<175>] Free to factor
9×10209+8 = 9(0)2088<210> = 23 × 2027 × 19441 × 20582389 × 1436628289625807<16> × 924157289929138785749913763<27> × [104470598732022532079284753407310241420530318003704629252472557508932399217336251287740368696545331229072573767596652452457659108157883925631044149860707<153>] Free to factor
9×10210+8 = 9(0)2098<211> = 23 × 1427 × 689041228276368082202675542517439474844073<42> × [1144150990640156489140812584755533336595237618348019259938140260585636260144766652483764696411804384514439764378240227198803802466609019390802868224109212978580013731<166>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P42 / December 18, 2023 2023 年 12 月 18 日) Free to factor
9×10211+8 = 9(0)2108<212> = 23 × 72 × 13463 × 8291743 × 3536934161023<13> × 5967719907864146284394935341647947<34> × 97439120804329228610971907735186096445512309295498736760527767302409893119857317961701216651530986292086387983269207913385722658774210979172385041270981<152> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4209788251 for P34 x P152 / February 7, 2023 2023 年 2 月 7 日)
9×10212+8 = 9(0)2118<213> = 23 × 19 × [5921052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579<211>] Free to factor
9×10213+8 = 9(0)2128<214> = 23 × 281 × 4068381032927<13> × 18112021459201<14> × 295612813057229<15> × [183795300798560579540936066513892338074495275332473030180141494819061322152364508882927500443789921786192179259259768049893574790942123516765860827032120020577004570239187<171>] Free to factor
9×10214+8 = 9(0)2138<215> = 23 × 59 × 4215979 × 9029564332153<13> × 30251402629363<14> × 200076365556543016947283<24> × 991482402414478760370233638841<30> × 111404577957753423770384919730803244552039342989918452175587<60> × 7492140647104884572060013446498547331773336530713067953045643950379<67> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3585802577 for P30 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GNFS, Msieve for P60 x P67 / March 1, 2023 2023 年 3 月 1 日)
9×10215+8 = 9(0)2148<216> = 23 × 23 × 47 × 2419987 × [43004489393081643479918281699533154769238756627337284872005682791362553427712066283005280950915208297880830467393429056298701143587270293005950876762284363415478122382112459318503223570844581111344086711283<206>] Free to factor
9×10216+8 = 9(0)2158<217> = 23 × 67 × 118679867 × 2804154523<10> × 1433389483868737<16> × [35199339411112534545882482899485597010503418653283674822173061673305616188771210085859764945593829532787936560301307025175114377878923583326556227672419131819580253891384905778832259<182>] Free to factor
9×10217+8 = 9(0)2168<218> = 23 × 7 × 29 × 142543 × 246689 × 323238809 × 335523341 × 9611553324764647<16> × [1511892768904098259227329065274683437038198682929524113184870425915603229170584657538599715951298919389992424321232027558498388124692962628006974962250757763357259271502447<172>] Free to factor
9×10218+8 = 9(0)2178<219> = 23 × 9643 × 1439753699<10> × 2469619628231360009<19> × [3281119776489468830517057645163863477378003518219787464431376735798853734309399584642802407210968854794237447339375924363546542128715162368337520941236521898462968514141747162411639905177<187>] Free to factor
9×10219+8 = 9(0)2188<220> = 23 × 83 × 89 × 167 × 367 × [2484859787965301895013931813675989298828736711221100895681957101544069121969802115242085101464765650123485493696680472275234343647799304470296110889843243404387519799003866315930511419506678997196201279765519707<211>] Free to factor
9×10220+8 = 9(0)2198<221> = 23 × 43 × 87154881859<11> × 14092387152346401697<20> × 49357089317129787547<20> × 4315769504476060741534586263777868541705190944753603110443036870328961324110655721474651633833752177895018462006800515709265214558840190074537908900133096645419915983347<169>
9×10221+8 = 9(0)2208<222> = 23 × 8069683 × 9252721 × 1506699280051413792734863443604375670726890626400090721078453462050823433448490062687012239058484163207250441221294020828436857253247615753209520361708669492115349558986615589611906591372121205053735661355307<208>
9×10222+8 = 9(0)2218<223> = 23 × 1869379 × 14559598586713733626693971137059417<35> × [41333840692969054867307505836496863169249232778474782804158026892386242276482650872980201662542704188175200925880038810303430884821389782377759708134946215339428542990601781729719907<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3473665198 for P35 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10223+8 = 9(0)2228<224> = 23 × 7 × 3270383209<10> × 190894213206579792079967147947<30> × 2574323224628030337725121901807129208604163800201204026943226316643124697926063654410879544149006944072215305364426341690897049289465426457897630954833459125079878564553530576523842141<184> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2532997466 for P30 x P184 / February 7, 2023 2023 年 2 月 7 日)
9×10224+8 = 9(0)2238<225> = 23 × 17 × 1774139 × 4519759529<10> × 15001120444987<14> × 235130646170698545749219<24> × 233974050612282063373079227190462045462961574360578485076106353010615075752154137614127237371768216746869200569928672229418363743705123032996361277733767200951486118783771<171>
9×10225+8 = 9(0)2248<226> = 23 × 163101765529<12> × 1682606506866760631145320112647561<34> × 4099315042577232458814454695236380562878708688944730269163802930883286929732145768092253628722906033748788151052184996278310926926246230391913196716581162682076424975488819244279329<181> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3429416486 for P34 x P181 / February 7, 2023 2023 年 2 月 7 日)
9×10226+8 = 9(0)2258<227> = 23 × 1102963 × 912976260649<12> × [11172030007376859638776836191520081518602302802913391564374859675514818162740105389325012569521650848145466197767347895468276245143085094444208875971087058192533965900601861945456131727954678251999445050489923<209>] Free to factor
9×10227+8 = 9(0)2268<228> = 23 × 10729 × 636541 × 1490869 × 772462102523396434245869<24> × 6104313752488931445262318539766603<34> × 147164841086344859348143555992454763333256643<45> × 15922428794255041234948818041191079124502686497708444666643755768075189279541208009720433967545376513845452061<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2040889985 for P34 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2620413657 for P45 x P110 / March 4, 2023 2023 年 3 月 4 日)
9×10228+8 = 9(0)2278<229> = 23 × 227 × 487099 × 3164397046888989723883<22> × [3215277465413129393043040186672268810805498886774355255333477898025867209151979540310879579857434205392261649111622806748398987458626141506595099762501640872263299972095239413347596691422748444838739<199>] Free to factor
9×10229+8 = 9(0)2288<230> = 23 × 7 × 103 × 1063 × 4481 × 63527111198809<14> × 271478576741226129529<21> × 161321027187675106842752041<27> × [1177398288219369151746072377598056611267755235012652298313370217964452621050414899615766032028149944108447750633157929060648353874986225502656406543037380925727<160>] Free to factor
9×10230+8 = 9(0)2298<231> = 23 × 192 × 45523 × 7376051 × 961705720147771<15> × 965046712895168204460066385916747205858593773774700978303494051968151845016330363493533326274627502868007448838930272242124574087917859015133518910427359632215191195318404943383574422141457436363529827<201>
9×10231+8 = 9(0)2308<232> = 23 × 1609 × 146203 × 3992587 × [1197804128957375686150857303076435881278693077368078327763536812874829094894416737109008094653399378546396129619190229829211930154213321775064665899883235117633713873918124096904182407640665601472825055017973049690449<217>] Free to factor
9×10232+8 = 9(0)2318<233> = 23 × 187921 × 115981663224021604729<21> × 59670806791639974429625369<26> × 76684219060771285602194439693803284007669548723<47> × 112802822423264675291877639231094815383400430270798250988644181762641358195987640829865125425198301020655094245608825277661112664643547<135> (Lionel Debroux / GMP-ECM 7.0.5 for P47 x P135 / March 4, 2023 2023 年 3 月 4 日)
9×10233+8 = 9(0)2328<234> = 23 × 104681 × 20146387036820187414104834152135369<35> × 53344234425332697445826948402096103421890347820863997598886372967217656835441347461524989481584180464632678309127628634500191035854845997049107731531540474863650080220329748374461685384419694609<194> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1008997047 for P35 x P194 / February 7, 2023 2023 年 2 月 7 日)
9×10234+8 = 9(0)2338<235> = 23 × 307 × 1867 × 5052815081145286983481196502167866171<37> × [388451161580741445251987476182550018836621779979411265613466675483650881782927183332773020739179653954562782080164958409953783612985152159314027554586392689326874815909250888914347373152824099<192>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P37 / December 18, 2023 2023 年 12 月 18 日) Free to factor
9×10235+8 = 9(0)2348<236> = 23 × 7 × 2592808902141527547187<22> × 3668711216784397291029578981<28> × 5919815749305244816028113152721<31> × 126485823261547989945733710720904469<36> × 4811632142920520113723324249354367027434727<43> × 46895156200060538179494065549434493286037600817650069994668095121633836296003<77> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:235307553 for P31, B1=1000000, sigma=1:1061488929 for P36 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GNFS, Msieve for P43 x P77 / February 26, 2023 2023 年 2 月 26 日)
9×10236+8 = 9(0)2358<237> = 23 × 2081 × 132817 × 12882367688339<14> × 31595925796840705142785109619376125644725253104316624256629003551909719055596943920517366496587239868619806993132293552597234017366245843896182981132968839165170588667534583571189582677501376979440646163842102030667<215>
9×10237+8 = 9(0)2368<238> = 23 × 23 × 8059741 × 6068810831298532988245824686469183822030574151096224405053300801126725169391703885964228551674842631554408078589514282752089514495834780924533215257111266651286232129058111981729826111630957954561092461041053088538399089671901907<229>
9×10238+8 = 9(0)2378<239> = 23 × 280172723 × [40153801838874942868724590294966009235667099541306881612454471522554320892972868026128296579392562779924867989379537136454215066468122951426645483971685566264064899708313146529971085015296082195696117069897628828056898315543729787<230>] Free to factor
9×10239+8 = 9(0)2388<240> = 23 × 383 × 27509 × 3613990497837823<16> × 1827330269485762870201<22> × 111288745870733528187521<24> × 110197361363934527552394661<27> × 131841594441380443492297456063169407592296026227424279961934528433823340288025782740350983027927156472128231144613520509677594020828755204991198241<147>
9×10240+8 = 9(0)2398<241> = 23 × 17 × 8458393 × 25763681 × 3747809047925612855128240277505451<34> × 81027114402304039159319182285983543022760144133303363156433146262342829684902250683189550995371772217504070131553307224373017816904910933198452737071962023807748979082348592163476996111246891<191> (Dmitry Domanov / for P34 x P191 / April 14, 2023 2023 年 4 月 14 日)
9×10241+8 = 9(0)2408<242> = 23 × 7 × 43 × 281 × 3699979314085442496623<22> × [35948469983238432310220840948483797552589798738674537424739624129804418019190014976899377711345755688781748148356330646704231505108403625885421343705973198163574185988303963638699242825714261915371237193796058797027<215>] Free to factor
9×10242+8 = 9(0)2418<243> = 23 × 313 × 300961 × 3358383076624035342097456531<28> × [355604895304384918463569163587053842647787766537432434362289881783487531786183245123101904127273969443083273095799673727146809872707979005183713018405055196354523189548818706375891905148196055591298517625747<207>] Free to factor
9×10243+8 = 9(0)2428<244> = 23 × 887 × 710569 × 934394219321<12> × 12088480689631747747<20> × [158023174476331302162386717362923883654150352923225498791665527067944841503095082082111637919593603417240228109565945628243103187410347756201556365544413816887731246220929251761467347517428377622690863341<204>] Free to factor
9×10244+8 = 9(0)2438<245> = 23 × 21669667 × 613830769 × 170715906395891<15> × 52213547207698745579<20> × [94884318758939707353892822599852210081243742619072614231336276272268028869431048816295232645460503474406917555327487753191367791366346101860974603371697028553674614139860760236576832967201583883<194>] Free to factor
9×10245+8 = 9(0)2448<246> = 23 × 29 × 5270981 × 404751195937010707<18> × 421413393480753981484369<24> × [4314858903449368398928440038530081856021917211688153121540512754924769618733596279124418723896693236274630829740697677133491944107712935461094296210662908339206070806994258959242177234272290527803<196>] Free to factor
9×10246+8 = 9(0)2458<247> = 23 × 1283 × 180981808683256898209<21> × 4844968323298664632263195683950477067649036452688346401001633120548919255659583162020512185328622536431089652038361075474359776341991587752075199598022957737588765320756524498209633801642651889592612800259481724209410529483<223>
9×10247+8 = 9(0)2468<248> = 23 × 7 × 389 × 16613249 × 15936645340691190889<20> × 5510237210305725733110856661<28> × [2831933844251002924525176626284463288789344396534428983914642664377453280169062285003733460638703558644595971091803093293177404833571382740100577805757126112886556785704502855646269792944647<190>] Free to factor
9×10248+8 = 9(0)2478<249> = 23 × 19 × 827567976375928363<18> × 7154762872179178033140272202721103226785208699254411591075126814256826118559327780529409172674666869828437537892493337745190708024807593072415463509150269398614660900100401708841036486657886463812125351829564458501087769453921233<229>
9×10249+8 = 9(0)2488<250> = 23 × 67 × 1901 × 104869 × 14048698194869067253604864487836381<35> × [5995320343836153286769797545481681170503469858069679326864519814110612559858344046322112077627705962179831601031008586011245130222206139554180469447375367765371733841964932307184002182421867959423252594727<205>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P35 / December 16, 2023 2023 年 12 月 16 日) Free to factor
9×10250+8 = 9(0)2498<251> = 23 × 107 × 4289018458601<13> × [24513810777625487707783793714275072554790600520031269270621328794298951013636212871361552684408128617139038251981831317020638036956323855627407810355938547640178067299697517273624445156952476021489443385287849509411788200330098415322443<236>] Free to factor
9×10251+8 = 9(0)2508<252> = 23 × 4241 × 39696583 × 4256129492009<13> × [157006015412525213113824451062509355299025749775356206971358835633775678286523633207640726448625768942602113311320706978247370531019485405008901980140047048219444247311962832724912759184040829958921697377509902825364706148140463<228>] Free to factor
9×10252+8 = 9(0)2518<253> = 23 × 30282953 × 7338130036370840155499<22> × 5062544998447018932186117777956949066559610111158417675504337116188135677575079326505502279354707779862814982993554695638334661127305751899358837540243940652272786758237212195917047074993082227642702338403866521066330899883<223>
9×10253+8 = 9(0)2528<254> = 23 × 72 × 12143 × 321091489 × 49889382043<11> × [1180303048235613369615526412644703014744094496374840873947858840573134222671097148323034233984304461114680454400010973967666163476298890922016752417131792024314266032317106191161017437591634318836192420822693385955047334290285709<229>] Free to factor
9×10254+8 = 9(0)2538<255> = 23 × 443 × 110983035817<12> × 14240791667020190513<20> × 3572321155046394541454249416763<31> × 145824143441824041881305587185621531<36> × [308445283205446258284954225576426015056246788009221333605396579680359989258040580360888511803551715048682998241661216727661475567413744190969271041024027139<156>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3841235339 for P31, B1=1000000, sigma=1:1145675053 for P36 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10255+8 = 9(0)2548<256> = 23 × 643 × 10001891026901664394589<23> × [174928040388143465963099590532008748258384292406108722767676147122648917941634055050959245697597731315370132699742021542944499636440605731465915026669659820452298262135495120958820972207889012755332788712339458980938346204677754663<231>] Free to factor
9×10256+8 = 9(0)2558<257> = 23 × 17 × 30593 × 21631245902080637439168129579815451823850515592763434926482605594128606890080583601400551068006714338728005829861117787421574716246123200039993770201180200776417519578681013149874731051509284130741173009588890961215656791922796641292414066270446334321<251>
9×10257+8 = 9(0)2568<258> = 23 × 231082818511514256281091896809<30> × 51443513881657385808029254854809<32> × [9463553480980090276295257951407184052795502320261468842435425361216017608688279307527218214254063173240855405486901854044838667291920258918225091533531484060836526610317833259668783650757406633921<196>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3358693526 for P30, B1=1000000, sigma=1:2437506934 for P32 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10258+8 = 9(0)2578<259> = 23 × 4643 × 55467947 × 102181584056609<15> × 42750294994106285838204946353651178348497013457795073123547573257939045387107082928512958438655847373358094932032151775254581953767545131786987255416697421362802253041176882115394684505911010439151013819909049283182429273796301179009<233>
9×10259+8 = 9(0)2588<260> = 23 × 7 × 23 × 1669 × 2687 × 2729 × 2037821 × 63026903 × 10690034979856409461<20> × 208702595609714399657664529129<30> × [19925082587240981621916788438888458884760039391874836979812791956368212386681129631890440864562499880303077937988517886905514723361415061911826098145931974165713418441031486302997546869<185>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1064772623 for P30 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10260+8 = 9(0)2598<261> = 23 × 83 × 28729 × 1197533285392721<16> × [39397288006599930658884016842474423672285098125031969518998008595048163450781159565734750594246318253935611671430696694322664961087867922193758594144132271442072365685359696030124580616606972897938959538745718296051388148958842119088114883<239>] Free to factor
9×10261+8 = 9(0)2608<262> = 23 × 47 × 983 × 22695287 × 596261807058663550807<21> × [1799403146717259013872195502591829802599313551962816998124211439198158435631287605860495165745010359795414256868944757760202775418112305883435520931322047980061981925455636259804580868617364752588084768923218452133544737049078489<229>] Free to factor
9×10262+8 = 9(0)2618<263> = 23 × 43 × [261627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627906976744186046511627907<261>] Free to factor
9×10263+8 = 9(0)2628<264> = 23 × 89 × 103 × 27734149343<11> × 106206307223<12> × 4166392037233263708440558140012812954155304506954421914943825170496179049553876567029345841992461526498097004382355557467744330086248898527836499773796107229522829974380932147736034193728366053673149859233589718807914226322424775320436727<238>
9×10264+8 = 9(0)2638<265> = 23 × 2817779 × 38117061971<11> × 296875907102011895721129277554043991699<39> × 35281839672676726084662255882054293661123702033365963100039750205064254097149632622782527007394756780991274292105258571703263128216762353924343384882012708477341729581818938704790414077645122392882534614470211<209> (Eric Jeancolas / factordb for P39 x P209 / February 7, 2023 2023 年 2 月 7 日)
9×10265+8 = 9(0)2648<266> = 23 × 7 × 509 × 229529 × 14340956587<11> × [959226160192969818707022986448718524794770542216558722306196523028543497455535233844870466751488599777145023866225096453378017007308038987196975321744386930560718087192035400364093888907513948807113142979744408640857316030688672963051072063168049<246>] Free to factor
9×10266+8 = 9(0)2658<267> = 23 × 19 × 163 × 36325476267355505327736519212140781401356151113981272198902163383919922505650629641588634162092347432999677106877623506619309008718114304165321278656764610913787536325476267355505327736519212140781401356151113981272198902163383919922505650629641588634162092347433<263>
9×10267+8 = 9(0)2668<268> = 23 × 61 × 661 × 14543 × 264373863012231344369<21> × [7256859367654030490740704016593583997453846922782504726557283143717965888222437707619602586392720051359511703771871934071908844391244355001543586782785260979658174452968308879621450912681782141357678345232297737842288800067780805113142943<238>] Free to factor
9×10268+8 = 9(0)2678<269> = 23 × 876233 × 36378951631278294339809801<26> × 64272113491648192255055905943427666362153<41> × 1655834968019287230188928509866952492778699120569<49> × 3316218263361028210227200486533805660850984466626522704860110501710301705708023507548635920524936199896482639615429362319426579647498640956972170321<148> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1778226924 for P41 / February 7, 2023 2023 年 2 月 7 日) (Seth Troisi / GMP-ECM 7.0.6, ecm-db 0.1 B1=4000000000 for P49 x P148 / January 2, 2024 2024 年 1 月 2 日)
9×10269+8 = 9(0)2688<270> = 23 × 281 × 4567 × 28269468223<11> × 646123014847<12> × 929563436193897400358303<24> × [5163014067519240824557182603443389154170575224306960281523069946665271893409696167838411930040955884075272730396222060361578653494870520934426105169204390581599300537262748226170834170407613571155149125005155557262241<217>] Free to factor
9×10270+8 = 9(0)2698<271> = 23 × 10000160048154576427<20> × 13210778627592044229667<23> × 45813189264490852260069553<26> × 1424513798465768076808813735440230491<37> × 16975070499835009596541539667868840587<38> × 7686849594436413151655755298064554277032134928897883888479998588455182720327233197779758014662674144097263893310781035038722630089<130> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3338802297 for P37 / February 7, 2023 2023 年 2 月 7 日) (Florian Baur / GMP-ECM 7.0.6-dev B1=3000000, sigma=4041150872 for P38 x P130 / February 24, 2023 2023 年 2 月 24 日)
9×10271+8 = 9(0)2708<272> = 23 × 7 × [1607142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<271>] Free to factor
9×10272+8 = 9(0)2718<273> = 23 × 17 × 59 × 1123 × 34171 × 1593217 × 2583457 × [710130188717844314184520138055244477851350150757462545610107078478255803896029378089192396987901443946087333399820118491342946476966800372129557037858742364015472490924019337488894125027754003204346997515187497021938149385220619124138739468259925171<249>] Free to factor
9×10273+8 = 9(0)2728<274> = 23 × 29 × 8432921647<10> × [4600197306715929702621309940575961614271071882863961788703422425440538261968942870270900917745509780149029945948622580667602352051937255681718529672291968660418606065629651770847086095553872933694693832644455920462662464451110526372294036164509101500538795780827<262>] Free to factor
9×10274+8 = 9(0)2738<275> = 23 × 401 × 3751481552851087844137<22> × [7478342208979105205377734396544609849716008476486048772823406768600378381509021953413975878997750684994598237850125933999962074132118251459488561089059762886244907805746130100962004893790999052003085190787554725106522265484985604578781162694352644873<250>] Free to factor
9×10275+8 = 9(0)2748<276> = 23 × 60008458109<11> × 8505494620393583<16> × 250922216880626861<18> × 1335475571269327183<19> × 116915030340461909863<21> × 5625939655054770434856446096443631291318683922885228677874357728186325860839026185674505592679462096094826260577924990127342549044160305076048509832872923826778750587819693674225106920884920207<193>
9×10276+8 = 9(0)2758<277> = 23 × [1125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<277>] Free to factor
9×10277+8 = 9(0)2768<278> = 23 × 7 × 109 × 821 × 1041879149<10> × 43196047691859702929<20> × 1252471522599068855770667964314927<34> × 51158383594247867211334995049829328290098005623<47> × 2877922592051676104631178468826819563707703001269<49> × 32140896097776985580837311107854631841313462300629616947<56> × 67328928858269821168137637044630803442348366310381083946949<59> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2389893469 for P34 / February 7, 2023 2023 年 2 月 7 日) (ivelive / GMP-ECM B1=110000000, sigma=1673149322 for P59 / March 11, 2023 2023 年 3 月 11 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1928721914 for P47 / March 12, 2023 2023 年 3 月 12 日) (Lionel Debroux / CADO-NFS for P49 x P56 / March 15, 2023 2023 年 3 月 15 日)
9×10278+8 = 9(0)2778<279> = 23 × 113 × 4201 × 1309898729<10> × 6337006473334332833<19> × 49060119436638608377<20> × [581930238488841266605373415476411109415919927415418879910129460527404376310443740885750202934628192609845399520792309753201049710479571906246818464511246378297911618574834939337783123171799212011807115027580635592184176621993<225>] Free to factor
9×10279+8 = 9(0)2788<280> = 23 × 120587 × 33411374034114590069<20> × 19869097278958605636029<23> × 14053340188591538961230824924150419804649480977419813144788350596442406447932942588753975846298156874437102488512432439864030406876324642603151231838547521580464044957364535202461920557985189112124961320963074279673991999661873051523<233>
9×10280+8 = 9(0)2798<281> = 23 × 4581770825273<13> × 125004413600921<15> × 1327011835038200683<19> × 3218989165516089796223337643<28> × 4598323291512217612297118752471189381582825407910420953389935264861922294014165178318350172349027408898594019038920401429470434379055738187221923739087175153828942128124089938351804663052326138638480143597113<208>
9×10281+8 = 9(0)2808<282> = 23 × 232 × 183523 × 18418602050809<14> × 120616832401823<15> × [521605025239771332021385629767995097287937753501543808541082567360213381941365408134276559781017673132324433232436824781151349819088891004635722476827899457062597191394480888437828187169587456690961092557990234185882428188832733672827089569726829<246>] Free to factor
9×10282+8 = 9(0)2818<283> = 23 × 67 × 5616601 × 1147367806729<13> × 2605562449383813476445134435471324681504576210315384711018578987425369626308360136568109306084342363223346514307645303468167011431696464846993665318584914636736758803460114590885654834779332177261599487857635198448327882239411598000372476944298135466851834362507<262>
9×10283+8 = 9(0)2828<284> = 23 × 7 × 43 × 269 × 2115949345189<13> × [65664173181990790518561545581166120687591097890945231397900189517575352420387007622440828641149576859600150125174279071057977315653026546508763045228952647104742367828166978837599097431024933981508478805688911006644541399427982985659606921297620214201182200376267461<266>] Free to factor
9×10284+8 = 9(0)2838<285> = 23 × 19 × 563 × 9857 × 120833 × 3523763 × 6819851 × [367433402593752068628661257334879484964221499477176018123160634480206402606765092916319928698749995660492079256339864194142167436692606094700137171735310463893489210944018055688343770991683469976208644198325091580473036766699473109894597178679081330795458761<258>] Free to factor
9×10285+8 = 9(0)2848<286> = 23 × 2269 × [495813133539003966505068312031732040546496253856324371970030850594975760246804759806081974438078448655795504627589246364037020713970912296165711767298369325694138386954605553107095636844424856765094755398854120758043190832966064345526663728514764213309828118113706478624944909651829<282>] Free to factor
9×10286+8 = 9(0)2858<287> = 23 × [11250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<287>] Free to factor
9×10287+8 = 9(0)2868<288> = 23 × 743 × 929501 × [162897285501788429025861939384159326125235117435035038547282413328294705509675466717338485745031578855094253433653600063385433353759011895936991723817345182199042779930185061466640888255701267796848805731872721652501072866861892523316208841866863533079978195742223186213767287107<279>] Free to factor
9×10288+8 = 9(0)2878<289> = 23 × 17 × 8803 × 772468243 × [9731779607950916186265961050903080643169197232517905382457279253416756712225417033366048540745432266290874646806745739598111140863616261841047560078147559975344843808945690566429501262977430312590298744736157949343385663526747620400878094028226688743138686817439449135156057<274>] Free to factor
9×10289+8 = 9(0)2888<290> = 23 × 7 × 35885656087<11> × 211537917169<12> × 367538990659426598701475077642917373723<39> × 576025818175812737296312483376774670705240600758879015088143313913126944243610444403823136603067628306061675304282217318625285431774360958363812167899469307287183954998133368723553230522319606775028852214628049334011494889896547<228> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:465425022 for P39 x P228 / March 20, 2023 2023 年 3 月 20 日)
9×10290+8 = 9(0)2898<291> = 23 × 393401 × 799783340947<12> × 357556526079422099414687530805663430327418251724545079665617372706808237793618710885082745559321352890399558364112543736296326681884504418066683004736084231456131686929037538684167236852006523622644305961866950828534601702284968318501740162367741898678969021110638976644083<273>
9×10291+8 = 9(0)2908<292> = 23 × 547 × 41903 × 93703 × 14108330632079093561<20> × [37127093758834098240353974172159061116600634645139315677050060898384515503521093998724264801671938545718797354337953074549381166682985021564548436246037213609553494906215863234871296569290214855607510164822323319501759029644473721460824405789482906547199157067<260>] Free to factor
9×10292+8 = 9(0)2918<293> = 23 × 2753 × 13721 × 219881 × 7249553 × [186836453094967176404542778597274305431931947183641247293787760894442446030716226007128606627004167665091901177391542426836673941261813063553277678707487345130652256492056078296872884466253919265061015740276641469989453307728964795075462239685022094255792479257657361720689<273>] Free to factor
9×10293+8 = 9(0)2928<294> = 23 × 122825299921<12> × 206229049152745815463<21> × 88014452569278643662305513101<29> × [50461581520050019526432491472603383168528063123837704717271658052959158861001845159986252643073374475549082062828883949120174539924465883672985525474064993834986951099986805373696242696159039981881059166029665959427093423372709486787<233>] Free to factor
9×10294+8 = 9(0)2938<295> = 23 × 491 × 569 × 7388089 × 9126194996099<13> × 9369057752563<13> × 9499763452180366189117936871321<31> × 671008766538458613301552186279651052466963760590688641169766041562200060055810388796211097119022923775517099187598410288252755320741051046538640241301252625081114281812129352761296954197663305939658291106406463564734803010723<225> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3894600994 for P31 x P225 / February 7, 2023 2023 年 2 月 7 日)
9×10295+8 = 9(0)2948<296> = 23 × 72 × 2003 × 1966504949<10> × 422142476923<12> × 7030396490975988976007329<25> × 19640004225990322890118988606814846504928083020759416735968126448914553652893305145952243659777427698223633823199884057307085879894573535147783062994158232625703754380168046631132104264507809000908258458809140883308887202223485839897397701067501<245>
9×10296+8 = 9(0)2958<297> = 23 × 1667 × 3414041 × 5605673 × 4510165203640962736663919899<28> × 66353222689923119183983996867457<32> × 11783273530786631731587014521249253193842743740843813962499705095322408453732688653697805309911192056457588513432376925796615180975252290994691202297670320404012046119622000879867932829709373819498247071639752256963365297<221> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4224645994 for P32 x P221 / February 7, 2023 2023 年 2 月 7 日)
9×10297+8 = 9(0)2968<298> = 23 × 103 × 281 × 347 × 647 × 294447029 × 2307825323<10> × 254779869814267833480618561319953072386857505735784997583783084490721230686785544175096139617290613708102294850150716743318148512769631824743494050739198603230870781710322815878038888095706607892874430339226026331453633622214787833360167600293890477465053499341361301869<270>
9×10298+8 = 9(0)2978<299> = 23 × 233 × 105358867 × 11173993859154316894325038714419809<35> × [41012579134516317111086084204134404659885335910223712784271837707335291201999038165497852374382902522992894623330448449680355430444428662528702289507921235244647047060692045435458210305525390496469501326400587337511667208153830820783964289073779596428099<254>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4131191227 for P35 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10299+8 = 9(0)2988<300> = 23 × 409 × 648266107 × 546552324816632521952252131831703<33> × 66440289401308731034909503257872201<35> × [11684567366615567830953702544372993569970875143012127471372583844309930304391841568560166089831557842983695569924593484169295711542963413291638636147435709943543659374061621979402206958614692357574783523685809568659228709<221>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3162290479 for P33, B1=1000000, sigma=1:3299837414 for P35 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10300+8 = 9(0)2998<301> = 23 × 1688509603494732314377<22> × 666268049451167773962357667765235440800186565992908911749283152356302410951744055498711138901690158353560343998102491796068566947487086553624976597189183181186878527845252805574213509868689176670985787848262871213148905511815293064824297800275499919917145899944705408249892800313<279>
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