Table of contents 目次

  1. About 300...008 300...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 300...008 300...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 300...008 300...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 300...008 300...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

30w8 = { 38, 308, 3008, 30008, 300008, 3000008, 30000008, 300000008, 3000000008, 30000000008, … }

1.3. General term 一般項

3×10n+8 (1≤n)

2. Prime numbers of the form 300...008 300...008 の形の素数

2.1. Last updated 最終更新日

June 12, 2022 2022 年 6 月 12 日

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

No prime number of the form 300...008 exists. 300...008 の形の素数は存在しません。

3. Factor table of 300...008 300...008 の素因数分解表

3.1. Last updated 最終更新日

October 29, 2024 2024 年 10 月 29 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=213, 214, 222, 225, 228, 230, 232, 235, 236, 237, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 250, 251, 252, 255, 256, 258, 259, 261, 263, 264, 267, 268, 269, 270, 271, 272, 273, 275, 276, 278, 279, 280, 281, 282, 283, 284, 285, 286, 289, 290, 292, 293, 294, 296, 297, 300 (56/300)

3.4. Factor table 素因数分解表

3×101+8 = 38 = 2 × 19
3×102+8 = 308 = 22 × 7 × 11
3×103+8 = 3008 = 26 × 47
3×104+8 = 30008 = 23 × 112 × 31
3×105+8 = 300008 = 23 × 37501
3×106+8 = 3000008 = 23 × 11 × 73 × 467
3×107+8 = 30000008 = 23 × 3750001
3×108+8 = 300000008 = 23 × 7 × 11 × 487013
3×109+8 = 3000000008<10> = 23 × 61 × 6147541
3×1010+8 = 30000000008<11> = 23 × 11 × 53 × 103 × 197 × 317
3×1011+8 = 300000000008<12> = 23 × 17 × 36563 × 60331
3×1012+8 = 3000000000008<13> = 23 × 11 × 34090909091<11>
3×1013+8 = 30000000000008<14> = 23 × 234811 × 15970291
3×1014+8 = 300000000000008<15> = 23 × 72 × 11 × 59 × 73 × 149 × 108413
3×1015+8 = 3000000000000008<16> = 23 × 23 × 16304347826087<14>
3×1016+8 = 30000000000000008<17> = 23 × 11 × 97 × 3514526710403<13>
3×1017+8 = 300000000000000008<18> = 23 × 383 × 97911227154047<14>
3×1018+8 = 3000000000000000008<19> = 23 × 11 × 21186127 × 1609114733<10>
3×1019+8 = 30000000000000000008<20> = 23 × 19 × 31 × 6366723259762309<16>
3×1020+8 = 300000000000000000008<21> = 23 × 7 × 11 × 29 × 347 × 48396401372651<14>
3×1021+8 = 3000000000000000000008<22> = 23 × 113 × 3318584070796460177<19>
3×1022+8 = 30000000000000000000008<23> = 23 × 11 × 73 × 12347 × 378228520830961<15>
3×1023+8 = 300000000000000000000008<24> = 23 × 53 × 1637 × 4661989 × 92711898469<11>
3×1024+8 = 3000000000000000000000008<25> = 23 × 11 × 107 × 821 × 388071409278735653<18>
3×1025+8 = 30000000000000000000000008<26> = 23 × 257 × 593 × 24606137755001607601<20>
3×1026+8 = 300000000000000000000000008<27> = 23 × 7 × 113 × 15313 × 262842076609129181<18>
3×1027+8 = 3000000000000000000000000008<28> = 23 × 172 × 11024869 × 117695534946608461<18>
3×1028+8 = 30000000000000000000000000008<29> = 23 × 11 × 223 × 138821 × 11012313108088733977<20>
3×1029+8 = 300000000000000000000000000008<30> = 23 × 25667 × 1461019986753418786769003<25>
3×1030+8 = 3000000000000000000000000000008<31> = 23 × 11 × 73 × 4783 × 97637205659625244971749<23>
3×1031+8 = 30000000000000000000000000000008<32> = 23 × 167 × 24321610116893<14> × 923256713368771<15>
3×1032+8 = 300000000000000000000000000000008<33> = 23 × 7 × 11 × 3011 × 161744598808697114907676183<27>
3×1033+8 = 3000000000000000000000000000000008<34> = 23 × 375000000000000000000000000000001<33>
3×1034+8 = 30000000000000000000000000000000008<35> = 23 × 11 × 31 × 8209 × 35381 × 37863131478128687184409<23>
3×1035+8 = 300000000000000000000000000000000008<36> = 23 × 35447 × 402767 × 2626623964295580688320649<25>
3×1036+8 = 3000000000000000000000000000000000008<37> = 23 × 11 × 53 × 1303 × 1369369 × 14653253 × 24601622894085557<17>
3×1037+8 = 30000000000000000000000000000000000008<38> = 23 × 19 × 23 × 13103 × 654906181633252189002081903091<30>
3×1038+8 = 300000000000000000000000000000000000008<39> = 23 × 7 × 11 × 73 × 773 × 8561117 × 1008109613265955272881741<25>
3×1039+8 = 3000000000000000000000000000000000000008<40> = 23 × 762123863 × 492046002238877540565869933927<30>
3×1040+8 = 30000000000000000000000000000000000000008<41> = 23 × 11 × 83 × 659 × 5171 × 1204094599<10> × 11691683747<11> × 85617564581<11>
3×1041+8 = 300000000000000000000000000000000000000008<42> = 23 × 1907 × 4051 × 4854207439312374979887400509782393<34>
3×1042+8 = 3000000000000000000000000000000000000000008<43> = 23 × 11 × 947 × 35998848036862820389747528079101468753<38>
3×1043+8 = 30000000000000000000000000000000000000000008<44> = 23 × 17 × 32611 × 160297733 × 9079575897121<13> × 4647563006894911<16>
3×1044+8 = 300000000000000000000000000000000000000000008<45> = 23 × 7 × 11 × 103 × 491 × 1512470123<10> × 11660273492717<14> × 546042296259991<15>
3×1045+8 = 3000000000000000000000000000000000000000000008<46> = 23 × 979674263 × 382780291534513855040407446122732327<36>
3×1046+8 = 30000000000000000000000000000000000000000000008<47> = 23 × 11 × 73 × 3347 × 84124358304697<14> × 16585869562977980025017713<26>
3×1047+8 = 300000000000000000000000000000000000000000000008<48> = 23 × 581294835581362573969<21> × 64511152868742812962582129<26>
3×1048+8 = 3000000000000000000000000000000000000000000000008<49> = 23 × 112 × 29 × 11616529 × 1143018253854179<16> × 8048563086118949332879<22>
3×1049+8 = 30000000000000000000000000000000000000000000000008<50> = 23 × 31 × 47 × 53 × 1249 × 7669 × 401803037 × 11180011261<11> × 1128597838610880593<19>
3×1050+8 = 300000000000000000000000000000000000000000000000008<51> = 23 × 7 × 11 × 60599689 × 639372079 × 12569455947787560192818237675123<32>
3×1051+8 = 3(0)508<52> = 23 × 919 × 3494273 × 116777432869591971649520977864875902566823<42>
3×1052+8 = 3(0)518<53> = 23 × 11 × 1019 × 1277 × 11353 × 23076123971482954313516808019236472122869<41>
3×1053+8 = 3(0)528<54> = 23 × 691697 × 1144757 × 52958221 × 200714736239657<15> × 4455427910635113977<19>
3×1054+8 = 3(0)538<55> = 23 × 11 × 73 × 419 × 124075753 × 8982863077250058697186984999250847899281<40>
3×1055+8 = 3(0)548<56> = 23 × 19 × 48910183277<11> × 4035323685761856953005758434190207235100327<43>
3×1056+8 = 3(0)558<57> = 23 × 74 × 11 × 2311 × 466377169 × 1565488830676246331<19> × 841509884818117293679<21>
3×1057+8 = 3(0)568<58> = 23 × 2641858673809232281<19> × 141945518781024174815540357066586174121<39>
3×1058+8 = 3(0)578<59> = 23 × 11 × 131 × 1087 × 2394074951783330471083724312373792348791822095332703<52>
3×1059+8 = 3(0)588<60> = 23 × 17 × 23 × 1286941 × 39123837427973<14> × 716979676937119<15> × 2656730992164638483033<22>
3×1060+8 = 3(0)598<61> = 23 × 11 × 1765187 × 19312916473387290360222973028301868815650075086044193<53>
3×1061+8 = 3(0)608<62> = 23 × 181 × 378601 × 2651814195641346629490347<25> × 20636110512735948326472990143<29>
3×1062+8 = 3(0)618<63> = 23 × 7 × 11 × 53 × 73 × 139206893699<12> × 904234494200975227847804569878748626405221123<45>
3×1063+8 = 3(0)628<64> = 23 × 14642567 × 281716453973<12> × 2116849582699<13> × 42944923677328908400360132071889<32>
3×1064+8 = 3(0)638<65> = 23 × 11 × 31 × 83911 × 4343777060029543550091760879<28> × 30171052776134516554369470869<29>
3×1065+8 = 3(0)648<66> = 23 × 199 × 17123 × 828407 × 1278516756080689163<19> × 10390780015704424064521251182377793<35>
3×1066+8 = 3(0)658<67> = 23 × 11 × 7517 × 105727 × 1575750727<10> × 27222036180487567611461321359089747057678810487<47>
3×1067+8 = 3(0)668<68> = 23 × 3527 × 4561 × 4621 × 5869 × 11473815607584001433<20> × 749131038815524528912809088696999<33>
3×1068+8 = 3(0)678<69> = 23 × 7 × 11 × 598400478631<12> × 3266397213913<13> × 249160741032923910863171573858358270828971<42>
3×1069+8 = 3(0)688<70> = 23 × 61 × 1549 × 441811 × 43588178871197<14> × 1198380857066479345793<22> × 171968895924181784259439<24>
3×1070+8 = 3(0)698<71> = 23 × 112 × 73 × 617930348213<12> × 687042356238055141146895303522927592262498763354832669<54>
3×1071+8 = 3(0)708<72> = 23 × 18012627257<11> × 4251171936901<13> × 489717400446591020494607862382628299525999712693<48>
3×1072+8 = 3(0)718<73> = 23 × 11 × 59 × 151 × 991 × 3206809 × 8541587641<10> × 140969212628904329426717481815227377280148885281<48>
3×1073+8 = 3(0)728<74> = 23 × 19 × 1279 × 4755143 × 32452154910530770474278092031421319081000693606544450191857907<62>
3×1074+8 = 3(0)738<75> = 23 × 7 × 11 × 210317 × 530713 × 15177059 × 1361706147041076241<19> × 211122936539184640034525629840756187<36>
3×1075+8 = 3(0)748<76> = 23 × 17 × 53 × 16111 × 369437238887<12> × 3557819336117<13> × 19654383157124788051018140890781668759088529<44>
3×1076+8 = 3(0)758<77> = 23 × 11 × 29 × 827 × 1129013 × 500142087937<12> × 67810076202697<14> × 371234643145822028138671690859026926961<39>
3×1077+8 = 3(0)768<78> = 23 × 107 × 20280451 × 265141343 × 389051103196940238733577<24> × 167527373039329403693937134181569063<36>
3×1078+8 = 3(0)778<79> = 23 × 11 × 73 × 103 × 179 × 5737 × 2888021 × 716883298430191<15> × 90767433929950913353<20> × 23494258872798801902327021<26>
3×1079+8 = 3(0)788<80> = 23 × 31 × 147110960193567719903790550016355077<36> × 822289119561963574926281709282120134322323<42> (Eric Jeancolas / ECM for P36 x P42 / June 7, 2022 2022 年 6 月 7 日)
3×1080+8 = 3(0)798<81> = 23 × 7 × 11 × 487012987012987012987012987012987012987012987012987012987012987012987012987013<78>
3×1081+8 = 3(0)808<82> = 23 × 23 × 83 × 57593 × 26670139 × 304671062161<12> × 419758164535634716257166272163655731162759540974635087<54>
3×1082+8 = 3(0)818<83> = 23 × 11 × 19661 × 179819 × 7973377 × 12093586135397739412532919163959607999839906441894140366987573837<65>
3×1083+8 = 3(0)828<84> = 23 × 8597 × 14423 × 29641967 × 175847041 × 171936489349<12> × 337457121991053748940994745714713784183735860257<48>
3×1084+8 = 3(0)838<85> = 23 × 11 × 41382031 × 81015073 × 315217133310337<15> × 15194641945942499<17> × 2123052175983207741865076088324773839<37>
3×1085+8 = 3(0)848<86> = 23 × 13085867 × 12295238010807527<17> × 225862992743190241<18> × 103192170468861108620255085984023833714133029<45>
3×1086+8 = 3(0)858<87> = 23 × 7 × 11 × 73 × 11119 × 351653 × 5991221 × 23968098580903<14> × 12419399153635067907151<23> × 956727192788376700363000755491<30>
3×1087+8 = 3(0)868<88> = 23 × 10847 × 4221197 × 14238901 × 3291646760845616458339427<25> × 174741602042249280409017752339045834064104357<45>
3×1088+8 = 3(0)878<89> = 23 × 11 × 53 × 487137197923557072142931402737691954429<39> × 13204179491327000394780018797211578478415514243<47> (Eric Jeancolas / ECM for P39 x P47 / June 7, 2022 2022 年 6 月 7 日)
3×1089+8 = 3(0)888<90> = 23 × 109 × 317 × 8364955561334027<16> × 129742382706998572400464460582133150190557829140570407983923031022971<69>
3×1090+8 = 3(0)898<91> = 23 × 11 × 3529 × 978092897894726163906330922739242681283<39> × 9876585297070983043050151849340002649937842713<46> (Eric Jeancolas / ECM for P39 x P46 / June 7, 2022 2022 年 6 月 7 日)
3×1091+8 = 3(0)908<92> = 23 × 17 × 19 × 15121 × 43189 × 203870215285830606605352688411812319411<39> × 87200967198087464570082027538550239177493<41> (Eric Jeancolas / ECM for P39 x P41 / June 7, 2022 2022 年 6 月 7 日)
3×1092+8 = 3(0)918<93> = 23 × 7 × 112 × 1259 × 3078073 × 10797739785791197147589<23> × 67988953286330801602781<23> × 15562236089070639648024933860749541<35>
3×1093+8 = 3(0)928<94> = 23 × 653 × 51229 × 108289 × 1118272980049<13> × 6213466472378580541219<22> × 14898278004844283121841675066823632895285933747<47>
3×1094+8 = 3(0)938<95> = 23 × 11 × 31 × 73 × 337 × 447017090715025889441825851439412912786011965038256914668967155687469967901788795510661<87>
3×1095+8 = 3(0)948<96> = 23 × 47 × 1553 × 28669712602403<14> × 71004808698242982838741<23> × 252377627243938296819152553799745603786692320085320257<54>
3×1096+8 = 3(0)958<97> = 23 × 11 × 2069 × 95603 × 244471 × 323699 × 2256598349483<13> × 14921879446321<14> × 524799065853083974829<21> × 123244349850879475426346610151<30>
3×1097+8 = 3(0)968<98> = 23 × 2477 × 70313 × 166062725282887710840319<24> × 33183684530638086024744608153<29> × 3907264991167402009907657977167790043<37>
3×1098+8 = 3(0)978<99> = 23 × 72 × 11 × 82912397 × 839117989303796689322954041675348040598652208466290740552883936408529066419366156879647<87>
3×1099+8 = 3(0)988<100> = 23 × 59580292702690523<17> × 4647084946504090313<19> × 1354403364737913079366402355450618740686636715878813958672106299<64>
3×10100+8 = 3(0)998<101> = 23 × 11 × 227 × 8741 × 171811253013970270788737813599634972102663225615619191491063730200070309746366730340680639213<93>
3×10101+8 = 3(0)1008<102> = 23 × 53 × 3355853 × 102484071274727<15> × 2057292768816387989175259565680558308410264106666826424176448764012125180260807<79>
3×10102+8 = 3(0)1018<103> = 23 × 11 × 73 × 193 × 137723 × 17569198076456897533186797566398283721317566204186717160049688516350246903081941064851527153<92>
3×10103+8 = 3(0)1028<104> = 23 × 23 × 2397827 × 321258732006913381941443826690167<33> × 211656029426318250773517965055102279372246568103184368732575643<63> (Eric Jeancolas / ECM for P33 x P63 / June 7, 2022 2022 年 6 月 7 日)
3×10104+8 = 3(0)1038<105> = 23 × 7 × 11 × 29 × 269 × 293 × 134243 × 255511 × 52125000921298131289955068625757594503791<41> × 119172299106349567578108789877457016495191387<45> (Eric Jeancolas / ECM for P41 x P45 / June 7, 2022 2022 年 6 月 7 日)
3×10105+8 = 3(0)1048<106> = 23 × 89431 × 152641 × 110707753201<12> × 49831535281691531282253739993401184733183<41> × 4979545138670258925493212684291893142734057<43> (Eric Jeancolas / ECM for P41 x P43 / June 7, 2022 2022 年 6 月 7 日)
3×10106+8 = 3(0)1058<107> = 23 × 11 × 3687127 × 1300465997077585496479179517820845550239<40> × 71097034183861921130988603632640857119549149513987964345547<59> (Dmitry Domanov / Msieve 1.54 snfs for P40 x P59 / June 12, 2022 2022 年 6 月 12 日)
3×10107+8 = 3(0)1068<108> = 23 × 17 × 179603 × 234977 × 4793749 × 1377237552977603<16> × 7916974720261768861573803604355705068468343928584162564876829724272402229<73>
3×10108+8 = 3(0)1078<109> = 23 × 11 × 197 × 138450217 × 1249909922162514583459548730365391178951275272197534330841854980080424403283931896691779334738159<97>
3×10109+8 = 3(0)1088<110> = 23 × 19 × 31 × 2087 × 1298712962059<13> × 3135911459663<13> × 8621193942471812373916220679061<31> × 86885867472064418847550216272215272960167870811<47> (Eric Jeancolas / ECM for P31 x P47 / June 7, 2022 2022 年 6 月 7 日)
3×10110+8 = 3(0)1098<111> = 23 × 7 × 11 × 73 × 433 × 2741 × 8026451 × 242737512275905854797<21> × 2885096175629033211112304678852547541475781426004358956420758179218089391<73>
3×10111+8 = 3(0)1108<112> = 23 × 63737 × 5883552724477148281218130756075748780143401791737923027440889906961419583601361846337292310588825956665673<106>
3×10112+8 = 3(0)1118<113> = 23 × 11 × 97 × 103 × 1183317593929<13> × 28835554142575570453824758795639750685748096269884186474860536986158640496975852635096757311069<95>
3×10113+8 = 3(0)1128<114> = 23 × 4517 × 50131 × 1608713 × 602229133316269<15> × 170936369932813490885928074804609700944073522487957162315649015090069481160734122179<84>
3×10114+8 = 3(0)1138<115> = 23 × 112 × 53 × 1984181 × 60052076084475611551<20> × 219440575772169364253<21> × 2236370634244699327870129775702812775622486577454757494326934939<64>
3×10115+8 = 3(0)1148<116> = 23 × 4758545333<10> × 114652104955979491<18> × 6873453898424507996150239527562486146323229333196368795392412647310924124170521308887167<88>
3×10116+8 = 3(0)1158<117> = 23 × 7 × 11 × 701 × 92333 × 7524290907609486567467427943092895384523931837010453263202008814880960518054981370506814732116399854953261<106>
3×10117+8 = 3(0)1168<118> = 23 × 32491 × 11541657689821796805269151457326644301498876611984857345110953802591486873287987442676433473885075867163214428611<113>
3×10118+8 = 3(0)1178<119> = 23 × 11 × 73 × 172421 × 914047 × 421667536723705619<18> × 5125366552177348019<19> × 800676752338781611359303491<27> × 17123980281034769974186223521099735539491<41>
3×10119+8 = 3(0)1188<120> = 23 × 563 × 37015251314490921525178519<26> × 905212056499932976593967180838471015122854991<45> × 1987887673891267180935343615787795211899818163<46> (Dmitry Domanov / Msieve 1.54 gnfs for P45 x P46 / June 12, 2022 2022 年 6 月 12 日)
3×10120+8 = 3(0)1198<121> = 23 × 11 × 503621 × 290218844545368683784771217613<30> × 233243281469845531434718306430184828158726696170322633845585187442041188494435364067<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4132163980 for P30 x P84 / June 7, 2022 2022 年 6 月 7 日)
3×10121+8 = 3(0)1208<122> = 23 × 3361 × 2853618843504223070502667331782965587<37> × 390991027349194578177679048020434970048560663756210123668703152423856788672210043<81> (Dmitry Domanov / Msieve 1.54 snfs for P37 x P81 / June 12, 2022 2022 年 6 月 12 日)
3×10122+8 = 3(0)1218<123> = 23 × 7 × 11 × 83 × 31667 × 6506628053<10> × 22018767641548200917<20> × 13019224565652694291307396819<29> × 99339374301888711779905935126848318170126936209259022407<56>
3×10123+8 = 3(0)1228<124> = 23 × 17 × 224461 × 88238426733109352530329406180396009076176247889645582811<56> × 1113739690063281787962547871216479845045631030173045423904943<61> (Dmitry Domanov / Msieve 1.54 snfs for P56 x P61 / June 13, 2022 2022 年 6 月 13 日)
3×10124+8 = 3(0)1238<125> = 23 × 11 × 31 × 1142893988520660589901<22> × 495079107852516616000633<24> × 19435527874502478382245156450345716569892003973072669295838544800889130860217<77>
3×10125+8 = 3(0)1248<126> = 23 × 232 × 490263866526422325734760540012559<33> × 822371997962886236973185496541433<33> × 175823692155177302159534398983668457094882500369658367927<57> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:945164709 for P33 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / Yafu 1.34 for P33 x P57 / June 13, 2022 2022 年 6 月 13 日)
3×10126+8 = 3(0)1258<127> = 23 × 11 × 73 × 284135252996486008322583251045217857745616082225477<51> × 1643579069281357600038832646492396474062790584475345038370950262443305871<73> (Dmitry Domanov / Msieve 1.54 snfs for P51 x P73 / June 13, 2022 2022 年 6 月 13 日)
3×10127+8 = 3(0)1268<128> = 23 × 19 × 53 × 2103859082839<13> × 48327834336748429<17> × 13157707676485556816507998047040253<35> × 2783604836507955084869435829930448978281666207868502923729201<61> (Eric Jeancolas / Yafu 1.34 for P35 x P61 / June 13, 2022 2022 年 6 月 13 日)
3×10128+8 = 3(0)1278<129> = 23 × 7 × 11 × 3147272113<10> × 4363166959<10> × 75493356836147<14> × 392049659997266185784261942790612936993231149<45> × 1198269758031271031515813910330231574896889230813<49> (Eric Jeancolas / Yafu 1.34 for P45 x P49 / June 13, 2022 2022 年 6 月 13 日)
3×10129+8 = 3(0)1288<130> = 23 × 61 × 160231 × 19775263128739339384538048671356242220572550957500942131<56> × 1940137985426302169794127127765545639761353318430582676297690070481<67> (Dmitry Domanov / Msieve 1.54 snfs for P56 x P67 / June 13, 2022 2022 年 6 月 13 日)
3×10130+8 = 3(0)1298<131> = 23 × 11 × 59 × 107 × 14387 × 232045883 × 227583538576728217030993<24> × 1064543898013731325938292663493<31> × 66765831410527193405169178122499126098589578508637188371583<59> (Dmitry Domanov / Msieve 1.54 snfs for P24 x P31 x P59 / June 13, 2022 2022 年 6 月 13 日)
3×10131+8 = 3(0)1308<132> = 23 × 1069 × 159571 × 80872261 × 691675883 × 186074410653297099300852771975289327321712296370251<51> × 21120817569199680134151675080880342078772042161234327923<56> (Dmitry Domanov / Msieve 1.54 snfs for P51 x P56 / June 13, 2022 2022 年 6 月 13 日)
3×10132+8 = 3(0)1318<133> = 23 × 11 × 29 × 1427 × 9702759202026474093491626052212557968202089576757963304569943<61> × 84902671970571514906634391048516077647743263306570754090471741539<65> (Dmitry Domanov / Msieve 1.54 snfs for P61 x P65 / June 13, 2022 2022 年 6 月 13 日)
3×10133+8 = 3(0)1328<134> = 23 × 113 × 2777 × 410263683407<12> × 29128214872128801168256204373048164159182104386530363813412165008874415038087302382193170453860628091285289099657143<116>
3×10134+8 = 3(0)1338<135> = 23 × 7 × 11 × 73 × 5968714643<10> × 81225452385391<14> × 84306560221239296221609<23> × 19776791446392592095613007589521539814089<41> × 8253297944829088686550282283462118824993137<43> (Dmitry Domanov / Msieve 1.54 snfs for P23 x P41 x P43 / June 13, 2022 2022 年 6 月 13 日)
3×10135+8 = 3(0)1348<136> = 23 × 65830034623939<14> × 95552866717025930161<20> × 14730309322101473228729377284559010375020318429<47> × 4047171391626259231695318353290876920014689733404220311<55> (Dmitry Domanov / Msieve 1.54 snfs for P47 x P55 / June 13, 2022 2022 年 6 月 13 日)
3×10136+8 = 3(0)1358<137> = 23 × 112 × 220609395174331679210851035300435310644456147419<48> × 140482392024598731814765799775420357735989543813476002080901137040469581024344131872299<87> (Dmitry Domanov / Msieve 1.54 snfs for P48 x P87 / June 13, 2022 2022 年 6 月 13 日)
3×10137+8 = 3(0)1368<138> = 23 × 953 × 8278969 × 3673839511<10> × 357034196590761473943938492771688517283<39> × 3623532120821335662184978266476839209975123850623078880369283563973489742998461<79> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3408171565 for P39 x P79 / June 7, 2022 2022 年 6 月 7 日)
3×10138+8 = 3(0)1378<139> = 23 × 11 × 28625266448604650352838680131<29> × 53393961959044252243063421867699<32> × 22304726226756459246328136616219487992123675255612068161066843832010783442139<77> (Ignacio Santos / GNFS, Msieve for P32 x P77 / June 13, 2022 2022 年 6 月 13 日)
3×10139+8 = 3(0)1388<140> = 23 × 17 × 31 × 7115749525616698292220113851992409867172675521821631878557874762808349146110056925996204933586337760910815939278937381404174573055028463<136>
3×10140+8 = 3(0)1398<141> = 23 × 72 × 11 × 53 × 93103 × 13220387 × 1066494915524676716578027891474109807238829132651308989475177667765164318565752522527429379129360083783380163442442977617123<124>
3×10141+8 = 3(0)1408<142> = 23 × 47 × 2996658317897<13> × 3682056137131<13> × 30079409859139769528446716518383129936399<41> × 24040110845675185896898337180502255712883073466412948993966623249244969131<74> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P74 / June 15, 2022 2022 年 6 月 15 日)
3×10142+8 = 3(0)1418<143> = 23 × 11 × 73 × 409 × 1181 × 209646448221577<15> × 675834565797599141<18> × 224665968159255399692761021837452314713<39> × 303722744802617883753985043996508533551471486858343177786603603<63> (Eric Jeancolas / cado-nfs-3.0.0 for P39 x P63 / June 13, 2022 2022 年 6 月 13 日)
3×10143+8 = 3(0)1428<144> = 23 × 234319 × 325189 × 585217706323267519166521<24> × 113817707364469273241034443<27> × 137076108296301648726628960547966311<36> × 53901252753292877977328558634125086899500704967<47> (Eric Jeancolas / GMP-ECM 7.0.4 B1=10000, sigma=1:3264855362 for P27 x P36 x P47 / June 17, 2022 2022 年 6 月 17 日)
3×10144+8 = 3(0)1438<145> = 23 × 11 × 34763 × 23954239 × 40939162671614681023105521673526749332639022823925620629921822846360548631804626700159155519929762051208189901647377633170862903863<131>
3×10145+8 = 3(0)1448<146> = 23 × 19 × 49494851177<11> × 3987655611829532240708052933572953067480811854722582772528626670985728559580762572794422667577191188866670969834168394445389342227427<133>
3×10146+8 = 3(0)1458<147> = 23 × 7 × 11 × 103 × 2132725854030985317460194583<28> × 2217013226699439948507805104693255187776595656048045927652389158898884707151001613250922352336055355210634788608837<115>
3×10147+8 = 3(0)1468<148> = 23 × 23 × 151 × 5564003283019<13> × 19541039554182449173772225455196469631<38> × 993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133<93> (Eric Jeancolas / cado-nfs-3.0.0 for P38 x P93 / June 18, 2022 2022 年 6 月 18 日)
3×10148+8 = 3(0)1478<149> = 23 × 11 × 343831 × 85579397780516501772397847310053<32> × 11585754620871900777142245550054065859301707687348061199566847075737616034056032576329346788997213972105455537<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1810499728 for P32 x P110 / June 7, 2022 2022 年 6 月 7 日)
3×10149+8 = 3(0)1488<150> = 23 × 986308681 × 23333590457<11> × 692586802545646792519286162566760262053360572167061<51> × 2352678747885615961012794656410175866232183098941803571185792660173712480466173<79> (Erik Branger / GGNFS, Msieve snfs for P51 x P79 / June 18, 2022 2022 年 6 月 18 日)
3×10150+8 = 3(0)1498<151> = 23 × 11 × 73 × 5171 × 17324617 × 46888032727775253526973388443<29> × 111177148472601850053005530561176833188117010733702037196950584052456291904389412477422924800307137957221267<108>
3×10151+8 = 3(0)1508<152> = 23 × 4523 × 572150633 × 262160429055030156163645355444444258670070526216087307402323<60> × 5527479722849529325095502234055333631418012064937976933413030615673199804713193<79> (Bob Backstrom / Msieve 1.54 snfs for P60 x P79 / June 13, 2022 2022 年 6 月 13 日)
3×10152+8 = 3(0)1518<153> = 23 × 7 × 11 × 23733823 × 65277533 × 6296866142407<13> × 49921157790881957400929914065464731307948665427895257818964892719533592739147968109240711257987604925641437904023626779601<122>
3×10153+8 = 3(0)1528<154> = 23 × 53 × 25457 × 33469 × 128393 × 6612395687<10> × 30148912757<11> × 3068768132321164268007581363<28> × 105723012095549199577065440406002432492591150128689929787652391490844146124746225108935329<90>
3×10154+8 = 3(0)1538<155> = 23 × 11 × 31 × 1667 × 1675995308137<13> × 3936121451511822646616664634379293884359582589793821881311585067927443305957738704152135679001356117920329169024904152012202802144565159<136>
3×10155+8 = 3(0)1548<156> = 23 × 17 × 7883 × 15031 × 1061597 × 37749917 × 68954345793717283420516788473<29> × 6736985597035819515551272864032624606730005175355581232234239640300995703111633856297746293992409718693<103>
3×10156+8 = 3(0)1558<157> = 23 × 11 × 2542217939<10> × 445461630812006439155933267776288302972596455923221<51> × 30103396644959993093808254384533977987809270772841727089112439210882503688903860247879646478189<95> (Bob Backstrom / Msieve 1.54 snfs for P51 x P95 / June 12, 2022 2022 年 6 月 12 日)
3×10157+8 = 3(0)1568<158> = 23 × 631 × 98779 × 42282424577923549<17> × 50439710124724212978443<23> × 125955530728241513209649059<27> × 223968827369142757938874264371835867545471672534081214680972912711858380365358828873<84> (Eric Jeancolas / cado-nfs-3.0.0 for P27 x P84 / June 13, 2022 2022 年 6 月 13 日)
3×10158+8 = 3(0)1578<159> = 23 × 7 × 112 × 73 × 6779 × 17189 × 48731 × 259488653 × 6362028377253172910641<22> × 12099884287685460422055673<26> × 5346976034282673654625810740294539745929114981243422967196868177284293775610245669559<85> (Eric Jeancolas / cado-nfs-3.0.0 for P22 x P85 / June 13, 2022 2022 年 6 月 13 日)
3×10159+8 = 3(0)1588<160> = 23 × 233 × 2358899953429<13> × 226792183789637004266658736169422417608261197065426961633<57> × 3008414976529041883606826663489900277166136731905056743987290084324001524746204770609621<88> (Bob Backstrom / Msieve 1.54 snfs for P57 x P88 / June 12, 2022 2022 年 6 月 12 日)
3×10160+8 = 3(0)1598<161> = 23 × 11 × 29 × 5839661 × 1093019569<10> × 301127985358571766206302081<27> × 31054908366938869534795370316369963823<38> × 196944401639587473250526217054088707662112501781428087669082379872637363723237<78> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3465225763 for P38 x P78 / June 18, 2022 2022 年 6 月 18 日)
3×10161+8 = 3(0)1608<162> = 23 × 4817933 × 7783420815524001682879359260496150527622530242741026079026005550513051966476080094928675845014864258178766703480517475025078181867618333422237295537318597<154>
3×10162+8 = 3(0)1618<163> = 23 × 11 × 149 × 51361 × 270529187 × 17312758161330284475417238769889421528578271523<47> × 527079214077288846527506262946042115867544906953<48> × 1804523589578875024000376273739531432696144730343623<52> (Bob Backstrom / Msieve 1.54 snfs for P47 x P48 x P52 / June 19, 2022 2022 年 6 月 19 日)
3×10163+8 = 3(0)1628<164> = 23 × 19 × 83 × 1991641 × 139976209 × 4900334809<10> × 17208753631<11> × 5092002524242919041829357<25> × 147784509307210207484700956694992032487795627419<48> × 134413098974414139538311694221966954069208871109181561<54> (Eric Jeancolas / GMP-ECM 7.0.4 B1=100000, sigma=1:3334814537 for P25 x P48 x P54 / June 18, 2022 2022 年 6 月 18 日)
3×10164+8 = 3(0)1638<165> = 23 × 7 × 11 × 199 × 4783278917<10> × 8969755800216769<16> × 57040213294435716731852761795173115130716398192968379700609502693085777685672595043766223802489750368384062382440116443196290100665719<134>
3×10165+8 = 3(0)1648<166> = 23 × 52629197 × 12900973973<11> × 4496283359993<13> × 50824842722988705871<20> × 22452661314736664956013<23> × 107642675338474025652323936969710310149547568012339551308774401257332913118307516744752729139<93> (Eric Jeancolas / GMP-ECM 7.0.4 B1=10000, sigma=1:214607098 for P20 x P23 x P93 / June 18, 2022 2022 年 6 月 18 日)
3×10166+8 = 3(0)1658<167> = 23 × 11 × 53 × 73 × 171947 × 20125037137<11> × 19031178792954650087474042143096921576615374845021<50> × 1337959199639948070787223533231243315698098204581680985108232885971708810035670651478577128843281<97> (Bob Backstrom / Msieve 1.54 snfs for P50 x P97 / June 19, 2022 2022 年 6 月 19 日)
3×10167+8 = 3(0)1668<168> = 23 × 1306997 × 2997019 × 28625822177926533559<20> × 334433066979387744055369905290427815111026098332828129683675475968669484915644063102024040795396030597501296158735060666173193702085073<135>
3×10168+8 = 3(0)1678<169> = 23 × 11 × 317 × 47002192207<11> × 679131641900490872227969<24> × 14707613437197613656174233402783834272624020868942469928874969<62> × 229068321770431307801121851922311143322078098109631569549040210057049<69> (Eric Jeancolas / cado-nfs-3.0.0 for P62 x P69 / June 21, 2022 2022 年 6 月 21 日)
3×10169+8 = 3(0)1688<170> = 23 × 23 × 31 × 60164147 × 87418625592301870102241640822970363093875192935642885191266364181501459653350320547389102502733239431352385772602450631307313120882502440594975388916729808291<158>
3×10170+8 = 3(0)1698<171> = 23 × 7 × 11 × 9453693090481<13> × 137126308721011275812407783<27> × 375680158142485138116310648932393238021334064782868083936117671976618426743666489634548187091339293944036766183326282822279648931<129> (Bob Backstrom / Msieve 1.54 snfs for P27 x P129 / June 15, 2022 2022 年 6 月 15 日)
3×10171+8 = 3(0)1708<172> = 23 × 17 × 1009 × 201407357 × 1903155972144718561427088993169<31> × 134563772306771211601706350648337<33> × 3370701799020055068892107519566849390731<40> × 125745653224893808193547327386348768053444984957080715967<57> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2855760586 for P31 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1098969113 for P33 x P40 x P57 / June 19, 2022 2022 年 6 月 19 日)
3×10172+8 = 3(0)1718<173> = 23 × 11 × 2522837 × 1316654594028522997827111707<28> × 102630756945653150736231669379562109226848284778402693096776954649897755994944099884934126620942636760542463497173568469487027015239172149<138>
3×10173+8 = 3(0)1728<174> = 23 × 11080658883169<14> × 187839374044674088338863870304300342740203583023346278368202429698673879<72> × 18016857765991848304970317137713811798126137886753664750064495679195328164729587179834951<89> (Bob Backstrom / Msieve 1.54 snfs for P72 x P89 / June 14, 2022 2022 年 6 月 14 日)
3×10174+8 = 3(0)1738<175> = 23 × 11 × 73 × 14562799 × 7564432378442199376404378601273800221<37> × 163182134859324726107409925649181427570165508890407681669437<60> × 25978969000103428520107051343432579421021257820598825392845439537629<68> (Bob Backstrom / Msieve 1.54 snfs for P37 x P60 x P68 / June 14, 2022 2022 年 6 月 14 日)
3×10175+8 = 3(0)1748<176> = 23 × 17708656519<11> × 12829229298495593776098974284340282279429056962960337853<56> × 16506123338928258607811212888497600507646611292915480323903432382766302940285238211393726670906117870220035843<110> (Bob Backstrom / Msieve 1.54 snfs for P56 x P110 / June 14, 2022 2022 年 6 月 14 日)
3×10176+8 = 3(0)1758<177> = 23 × 7 × 11 × 2046127 × 9888751 × 424785717789149<15> × 3137760119697282112213625384105778253654801<43> × 2697153347240469867028079077015009580001281929<46> × 6695318331371170734103589654083696701275291330945657185489<58> (Bob Backstrom / Msieve 1.54 snfs for P43 x P46 x P58 / June 15, 2022 2022 年 6 月 15 日)
3×10177+8 = 3(0)1768<178> = 23 × 557 × 1399 × 3889 × 123742935650683502338096535617306831775838364023461717356129410490136175559985711776099128336711307038496496906952763695299147799528196036773994252751764137284825318963<168>
3×10178+8 = 3(0)1778<179> = 23 × 11 × 46853332144491179049289750091911985620320247111<47> × 7276090628042419595165029733396106704318972433097356766246433337431705420580876848023419009766198592198861039297450405932952362181<130> (Bob Backstrom / Msieve 1.54 snfs for P47 x P130 / June 17, 2022 2022 年 6 月 17 日)
3×10179+8 = 3(0)1788<180> = 23 × 53 × 19441 × 73970889211430674297454471395700008849<38> × 1763819250237558136500715834939269525829<40> × 278947118964576520805670488827065882188393614659232246589332498957320335702574417445846443083897<96> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1250352915 for P40 / June 15, 2022 2022 年 6 月 15 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:4193693456 for P38 x P96 / June 16, 2022 2022 年 6 月 16 日)
3×10180+8 = 3(0)1798<181> = 23 × 112 × 103 × 2853083819<10> × 2871544661272639809210559521973418035340586749<46> × 3672641748452088996871881932987880047280285155505420081603749887974376076457287258961931669281433257792112676078869143217<121> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P46 x P121 / June 14, 2022 2022 年 6 月 14 日)
3×10181+8 = 3(0)1808<182> = 23 × 19 × 8943632099155230379340006544684190288137707458639298764860282199075907<70> × 22068038897896301861058692253169682225914577647141020308819165898060152340395287081804585367125097392570349897<110> (Bob Backstrom / Msieve 1.54 snfs for P70 x P110 / June 16, 2022 2022 年 6 月 16 日)
3×10182+8 = 3(0)1818<183> = 23 × 72 × 11 × 73 × 813203 × 156796406511991927<18> × 1429422353576392547<19> × 877337540439776482061905579371975200561719<42> × 5960151276724245923834787675900410668003071532962231770923185636338530673967649736195212730051<94> (Bob Backstrom / GMP-ECM 7.0.4 B1=26570000, sigma=1:1229242808 for P42 x P94 / June 22, 2022 2022 年 6 月 22 日)
3×10183+8 = 3(0)1828<184> = 23 × 107 × 1879 × 133546429130899<15> × 1771250135965420037<19> × 637602701973105891377856551584991076088726454519849168489345307511517<69> × 12366829821051752024762776755794124433667077051105365919344546810927943071527<77> (Eric Jeancolas / cado-nfs-3.0.0 for P69 x P77 / June 28, 2022 2022 年 6 月 28 日)
3×10184+8 = 3(0)1838<185> = 23 × 11 × 312 × 1899827 × 42995857 × 72189175116889<14> × 1519694441775132206152633295109101486479<40> × 39586415184912943334857908282013957309641681593021230859222406356213564442187338875569507662238591386999789409159<113> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3972941269 for P40 x P113 / June 18, 2022 2022 年 6 月 18 日)
3×10185+8 = 3(0)1848<186> = 23 × 226767711208988465695209203<27> × 21888649633543766847409569859<29> × 399351812681520159574652941039287215951447181177901<51> × 18918008719438495418113893137436196229866551547904630065513220940164453886085613<80> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1180559421 for P27 / June 18, 2022 2022 年 6 月 18 日) (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P80 / July 9, 2022 2022 年 7 月 9 日)
3×10186+8 = 3(0)1858<187> = 23 × 11 × 106681 × 3180337 × 303929188633730208179<21> × 3018562928865563628930404230655008270042239199<46> × 109523097502247137330936770574565560677884157410388747784728124070619568450036032383035948008789577445249143<108> (Bob Backstrom / GMP-ECM 7.0.4 B1=21780000, sigma=1:1191455184 for P46 x P108 / July 10, 2022 2022 年 7 月 10 日)
3×10187+8 = 3(0)1868<188> = 23 × 17 × 47 × 2165838682863360988564943311<28> × 601978053285481020895818477808222868770921023739<48> × 3599794624361554668683176428448972002729505022653769933980870540061443059726237680031617101840247570865910531<109> (Bob Backstrom / GMP-ECM 7.0.4 B1=17340000, sigma=1:43153877 for P48 x P109 / July 16, 2022 2022 年 7 月 16 日)
3×10188+8 = 3(0)1878<189> = 23 × 7 × 11 × 29 × 59 × 131 × 6323062720783512818220923202050506183<37> × 365549597678003433068975765665195152884289454189273<51> × 940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927<93> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1778028269 for P37 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P93 / July 25, 2022 2022 年 7 月 25 日)
3×10189+8 = 3(0)1888<190> = 23 × 61 × 40879 × 4450487 × 1395639081113<13> × 901798175171539<15> × 257445599108700321483089363<27> × 104285922215652323978111922776154579913195381743697200817027760497901903713762206004569199976063805461562578152984572158237<123> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:438469195 for P27 x P123 / June 20, 2022 2022 年 6 月 20 日)
3×10190+8 = 3(0)1898<191> = 23 × 11 × 73 × 1209947 × 19610691031<11> × 1242330588068023<16> × 6816380258642064384555986177916377505962384689065095114563155640856415793<73> × 23241571485585938204336160832374548189325942381922293768899687948861684356527223729<83> (Bob Backstrom / Msieve 1.54 snfs for P73 x P83 / December 21, 2022 2022 年 12 月 21 日)
3×10191+8 = 3(0)1908<192> = 23 × 23 × 3049 × 102533 × 23316352456043<14> × 976808133042330075151134882508382838295783457116841231623209806821<66> × 228987863074500131967791065175762069365032277866538208917923954974678197711819714731457747756834380437<102> (Bob Backstrom / Msieve 1.54 snfs for P66 x P102 / June 24, 2022 2022 年 6 月 24 日)
3×10192+8 = 3(0)1918<193> = 23 × 11 × 53 × 1403487144104229760396320369175481351225917566971735161<55> × 458304661022747799656479023852137872265675551024267294835415631773552809477959793892059179226802895584689844585369988401886534902658927<135> (ebina / Msieve 1.53 for P55 x P135 / June 16, 2022 2022 年 6 月 16 日)
3×10193+8 = 3(0)1928<194> = 23 × 347 × 1187 × 110807 × 15844250622295919649538371308329332717799999939<47> × 5185757136428910389918496725626156580500495518067724114460808107204252223882952965958758772541617879679563686496102985387510370230285533<136> (Bob Backstrom / Msieve 1.54 snfs for P47 x P136 / June 25, 2022 2022 年 6 月 25 日)
3×10194+8 = 3(0)1938<195> = 23 × 7 × 11 × 3203 × 29528294377<11> × 107255530070120327140660602671548696041244000946623<51> × 48009319315014062336692241993658520932993707450316798211058115503207380335251781100025479720494775391224416612376438823110166401<128> (Bob Backstrom / Msieve 1.54 snfs for P51 x P128 / July 18, 2022 2022 年 7 月 18 日)
3×10195+8 = 3(0)1948<196> = 23 × 13105170989181312864630052879<29> × 65013965678073601369682263418219884520859451880690746515552405282829<68> × 440130959224932225434938974468797012735098879512956837980701512240928214039911939530837324337682411<99> (Bob Backstrom / Msieve 1.54 snfs for P68 x P99 / July 21, 2022 2022 年 7 月 21 日)
3×10196+8 = 3(0)1958<197> = 23 × 11 × 780534562903<12> × 436763606778880051911884978173021342520218622443695828326756090436941035067645519895641731525457558587396330678423185963256258940765122820506189428664917793872769368849524653105352597<183>
3×10197+8 = 3(0)1968<198> = 23 × 109 × 167 × 541 × 661 × 683 × 5329998869082783492478162335996888973342185350931326688923<58> × 1582492839133631914340468259239138379760237943718731647378170502995455587180012130992014205555889093559518239289027924137531163<127> (Bob Backstrom / Msieve 1.54 snfs for P58 x P127 / July 24, 2022 2022 年 7 月 24 日)
3×10198+8 = 3(0)1978<199> = 23 × 11 × 73 × 439 × 22013 × 306871 × 2627905502802382234316765906075101321<37> × 59924769988187766490085815533296943354622878764134224017147034136676897717120946636619474487199300953758799125861226515878420673625353908838932991<146> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1329281707 for P37 x P146 / June 7, 2022 2022 年 6 月 7 日)
3×10199+8 = 3(0)1988<200> = 23 × 19 × 31 × 229 × 1381 × 2273 × 549054743 × 118511425064813538941416826738435851045219668464583089585537850246731111281<75> × 136116730332622200494425080564359338299778772381007345176296018767708567772114745532613001353551088844299<105> (Bob Backstrom / Msieve 1.54 snfs for P75 x P105 / August 27, 2022 2022 年 8 月 27 日)
3×10200+8 = 3(0)1998<201> = 23 × 7 × 11 × 2161297 × 225333670945264354222031024432545371129934010463618379605863047518683000525616325295869569516365861338347766635965805260909080513697556149380216132726315269482636114801893035981178425275650229<192>
3×10201+8 = 3(0)2008<202> = 23 × 78779059 × 2097366017988063724239916503109618162268283095785998164311<58> × 2269583950184535697522166908395249880545183627374319130453885034265941507134490362753822802144513161476941551726719780953878823694689149<136> (Bob Backstrom / Msieve 1.54 snfs for P58 x P136 / September 11, 2022 2022 年 9 月 11 日)
3×10202+8 = 3(0)2018<203> = 23 × 112 × 967 × 2287 × 33958210287803747117671904329753532415736050353682972090679913708088802254120049518597139589<92> × 412675290170354323741085993162708311012804898998627438333041382631043722689352159374435531083657978701<102> (Bob Backstrom / Msieve 1.54 snfs for P92 x P102 / November 6, 2022 2022 年 11 月 6 日)
3×10203+8 = 3(0)2028<204> = 23 × 17 × 513147247721962890481<21> × 5642603233990704029137792668997345260898162907<46> × 761834838617006612255419554770072353654152953942242614911540665321659050471288101921800934928409666568446442842372568308632069114283859<135> (Bob Backstrom / GMP-ECM 7.0.4 B1=42600000, sigma=1:524856385 for P46 x P135 / June 29, 2023 2023 年 6 月 29 日)
3×10204+8 = 3(0)2038<205> = 23 × 11 × 83 × 67817353 × 51378990617649923<17> × 2732327270709732884535525354546217<34> × 43142108908012177250889826940722035512710941179611622752570113406732500207951008348824212592464628112182210227884443360198453935715718365593899<143> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3777177867 for P34 x P143 / June 20, 2022 2022 年 6 月 20 日)
3×10205+8 = 3(0)2048<206> = 23 × 53 × 311123 × 447378060107493728780694821912267058226274637901<48> × 508333344220856151244383392871044758117538418958073868186547017773173185050585977152807508419348530962128751335982380753290843648951951967160999107979<150> (Bob Backstrom / Msieve 1.44 snfs for P48 x P150 / October 19, 2023 2023 年 10 月 19 日)
3×10206+8 = 3(0)2058<207> = 23 × 7 × 11 × 73 × 197 × 443 × 601 × 89488183 × 140248921 × 185333479 × 32486110901<11> × 24529561018994034833161962824888339<35> × 68622519978730645808398043591358886798938853927912051726799473556497686518251447474522164336903285238346353635420667020194117<125> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:223405319 for P35 x P125 / June 25, 2022 2022 年 6 月 25 日)
3×10207+8 = 3(0)2068<208> = 23 × 85238963 × 258480964267964695577<21> × 9127273304580618947567<22> × 955883077352985051315017957<27> × 60403909722980055608124819607691228547736937625119633<53> × 32296366665085160536782393098019491665195629808290390768685924091273877478313<77> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3855019090 for P21 x P27 / June 20, 2022 2022 年 6 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P53 x P77 / June 22, 2022 2022 年 6 月 22 日)
3×10208+8 = 3(0)2078<209> = 23 × 11 × 97 × 1129 × 106530793 × 5698558589219<13> × 113055712575772759571403583261638637308573171212454267939171922028833395318427833919662577<90> × 45356571317251517919188354816182270132627860440324359417554206082842052460413103023691066273<92> (Bob Backstrom / YAFU for P90 x P92 / July 25, 2024 2024 年 7 月 25 日)
3×10209+8 = 3(0)2088<210> = 23 × 39139 × 51414932845202892862884775110933740753149<41> × 6396656403667918674352505072251689770392374802071647<52> × 2913260003205743381916056121401555467123938896940931452432717497103685813749216356977357023315514999884529359353<112> (Bob Backstrom / Msieve 1.44 snfs for P41 x P52 x P112 / October 28, 2024 2024 年 10 月 28 日)
3×10210+8 = 3(0)2098<211> = 23 × 11 × 1029153659<10> × 262735972628871701<18> × 40551910761186345940027234774558787017<38> × 4650334866219485374592737308418265823481<40> × 668564437836104161525290966490677689656729717593329923371512907820096877355810302388886029922903919105237<105> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3670961424 for P40 / September 3, 2022 2022 年 9 月 3 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2957782011 for P38 x P105 / September 3, 2022 2022 年 9 月 3 日)
3×10211+8 = 3(0)2108<212> = 23 × 709 × 5289139633286318758815232722143864598025387870239774330042313117066290550070521861777150916784203102961918194640338504936530324400564174894217207334273624823695345557122708039492242595204513399153737658674189<208>
3×10212+8 = 3(0)2118<213> = 23 × 7 × 11 × 3461 × 9241 × 181639 × 8365739 × 10020896110867334257926935174959095119689487602275756864748107402499602115655842716118404846272827168465295653117379670584434160779233771290948523452589410016512025869985266598810072169587053<191>
3×10213+8 = 3(0)2128<214> = 23 × 23 × 227 × 97879 × 241966909 × 200616110570363<15> × [15117022794224123257794108324315216700463375032490707778262689864610345213366087374914961393051027140284249860526346408320853175079276616017849347216278628102194636148317347999944117<182>] Free to factor
3×10214+8 = 3(0)2138<215> = 23 × 11 × 31 × 73 × 103 × 994229 × 10764990216583<14> × 67872147471477846123576549290151371426651<41> × [2013377205124826467272018480908105473750978148966422446803284390859265702470254241894213785911709058418498703167949184769402879984721839176150190467<148>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2835743 for P41 / September 3, 2022 2022 年 9 月 3 日) Free to factor
3×10215+8 = 3(0)2148<216> = 23 × 3739 × 138197 × 8773738483343<13> × 861453485962907<15> × 1704908838136202964653<22> × 263532161670456797616211069<27> × 15171798131626482470381742503535025898684415460575500841503393<62> × 1408603706852429256085147184627502159495457112246223464662911161795747<70> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2664896918 for P27 / June 20, 2022 2022 年 6 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P62 x P70 / June 27, 2022 2022 年 6 月 27 日)
3×10216+8 = 3(0)2158<217> = 23 × 11 × 29 × 1759 × 668305053633708237617198429572231301270136031265983629199406188683011329107269198622044086747778108465019131346002020954482188333710554408051026427455040891358548334494699004314577426259220382056633061318325281<210>
3×10217+8 = 3(0)2168<218> = 23 × 19 × 33347 × 16575023 × 262992421 × 334071487348219<15> × 70037219432057238180512669404279<32> × 58030353769751450501645631776941824491598314687323495381840848127735611568780318023899348126111287633111279266330186240228872067024393927413368668679<149> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1580107505 for P32 x P149 / June 20, 2022 2022 年 6 月 20 日)
3×10218+8 = 3(0)2178<219> = 23 × 7 × 11 × 53 × 3514177 × 6885252893<10> × 2067371612752013599<19> × 3486181853465154917<19> × 8393297455512323526987548637303134266971247<43> × 24587850687750659466956045801083375792727766380344503299<56> × 255328548417133508188741166055657673709108795326472478609650939<63> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2152391461 for P43 / September 2, 2022 2022 年 9 月 2 日) (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P63 / September 4, 2022 2022 年 9 月 4 日)
3×10219+8 = 3(0)2188<220> = 23 × 17 × 1021 × 13999009 × 1543331823809132842338931911166394275135946109865428002805537878745803415631800076805355239779499341949923541755520713412725620525634384913023008100019044199027197970516208699602010720957303776238279205186277<208>
3×10220+8 = 3(0)2198<221> = 23 × 11 × 19941611 × 135904298050641059<18> × 455924450582828189<18> × 80590760716616274302800970136525730816388201603032348004681711465076713408685394649117<86> × 3423473826766602761934876417488277455862978851287618998867340090263767926044934518918592043<91> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P86 x P91 / August 15, 2022 2022 年 8 月 15 日)
3×10221+8 = 3(0)2208<222> = 23 × 587 × 63884156729131175468483816013628620102214650766609880749574105621805792163543441226575809199318568994889267461669505962521294718909710391822827938671209540034071550255536626916524701873935264054514480408858603066439523<218>
3×10222+8 = 3(0)2218<223> = 23 × 11 × 73 × 151 × 22034123 × 2590447297<10> × 144690937883<12> × [374478521140110000409953950014224525513436363883943159446930187929544216176145180777890889193175500504052944030586043627742035227695705077287717265191758143378684289974956472932890395376229<189>] Free to factor
3×10223+8 = 3(0)2228<224> = 23 × 5449 × 282677 × 1888751580887<13> × 1288988804749600336330637995001330736780906680576006085771551248842601412744585297247573979494091556302612756874273369428580818241644405124287632151151461910358187381798493463465870338917045799449002451<202>
3×10224+8 = 3(0)2238<225> = 23 × 72 × 112 × 677938140887295221<18> × 141687985524121018510667103577<30> × 3699452465245660576692549410791<31> × 563050207847381147902166268619658850531087634192469<51> × 31611284916102287264552250152788827449917155270109978653542929328182967018224194984895507183<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:592248911 for P30 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:849820361 for P31 / June 20, 2022 2022 年 6 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P92 / August 16, 2023 2023 年 8 月 16 日)
3×10225+8 = 3(0)2248<226> = 23 × 10164843714709<14> × 2637840786234617940755860541731<31> × [13985628341872237392399438640776134807174370384089860817590720297422911577022152331749724786692136314612213852442314287915914848943861054883842862840588022993006509784655118537628319<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1672800927 for P31 / June 25, 2022 2022 年 6 月 25 日) Free to factor
3×10226+8 = 3(0)2258<227> = 23 × 11 × 9967 × 843629 × 461920910405719<15> × 1311424570291873<16> × 270068366334662383<18> × 247820921749394405772683249825227259475803914759201381553471881646658417937834973994116790147666111452042408512569245886959919134304161489630131685753776225286990169097<168>
3×10227+8 = 3(0)2268<228> = 23 × 263 × 743 × 2316707 × 30421081937<11> × 5251065828756921631<19> × 4970085255634686716147086313<28> × 4121417373021841953937631475162473<34> × 25315297760675534758113900348803575751854625744118041066032655387107750616817520099470969766012925548846306263089261757555109<125> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:884376299 for P28 / June 20, 2022 2022 年 6 月 20 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1632887443 for P34 x P125 / June 25, 2022 2022 年 6 月 25 日)
3×10228+8 = 3(0)2278<229> = 23 × 11 × 7307 × 533167 × 1334287 × 248465631577<12> × 1510971852989<13> × 1334510576231237028062786401<28> × [13090078188489186197710388538365368168373103129399161876810011710748276670129151088800533353507936847255907981768675236441761601461920957613277673842012963811749<161>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:89843274 for P28 / June 25, 2022 2022 年 6 月 25 日) Free to factor
3×10229+8 = 3(0)2288<230> = 23 × 31 × 58711 × 10951210546875901<17> × 188142957910472109450645215972677510705562153184915369860244580097130321174487680064576755793589839083908339044487554525845205872811062001123350356108122854762361007428772031723620391529737350922329027607661<207>
3×10230+8 = 3(0)2298<231> = 23 × 7 × 11 × 73 × [6671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410781<226>] Free to factor
3×10231+8 = 3(0)2308<232> = 23 × 53 × 773 × 78527262296875692600617<23> × 27008883968975060212418207<26> × 4315675758542198243339893999469950343361179303072132196759010485728199650662476790798063559377437436821410128876908844146616335172852718298884017303159058699569892730965176029391<178> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1124061645 for P26 x P178 / June 20, 2022 2022 年 6 月 20 日)
3×10232+8 = 3(0)2318<233> = 23 × 11 × 12251 × [27827041948338169054845244544044641995829653980009053064313859350999176319558329190195976580761496278596923442242191732029296309763210424380941073455970199093209459710153531066109631124731932829231008971438324144225703282106841<227>] Free to factor
3×10233+8 = 3(0)2328<234> = 23 × 47 × 16935154549<11> × 45428119579<11> × 1037097255934927645538581407575249760115998180130030168336709875720479568211031339964449047380443001493105774770097281213316588868480061227539219131630413431621759165192753641779645277496641808267771724230444873<211>
3×10234+8 = 3(0)2338<235> = 23 × 11 × 24941844624054324773<20> × 390600837630545558265419<24> × 6499291614029480776949804074138153<34> × 52033885185869879698607417787994295459387559012208447<53> × 10347241010925646813236283562959499597482198079477557425410762104712274922792339812770557183511768511923<104> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:719070200 for P24 x P34 / June 20, 2022 2022 年 6 月 20 日) (yoyo@Home / GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] B1=110000000 for P53 x P104 / April 26, 2024 2024 年 4 月 26 日)
3×10235+8 = 3(0)2348<236> = 23 × 17 × 192 × 23 × 379 × 147827 × 4662631 × 8710025957<10> × 49475292099566254359576840471256831<35> × [236001885127864652515795312218952842080245855678397351205705912574511349628209094661716802180042802198896265636227131142637092811537926274189047982118081907385353790514411<171>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2710310942 for P35 / September 3, 2022 2022 年 9 月 3 日) Free to factor
3×10236+8 = 3(0)2358<237> = 23 × 7 × 11 × 107 × 8219 × 16221241 × 952863419 × 43733248130985530675497<23> × [819240321026214879362834112128803127767167900091723086967912415690357702959088388127482370672629680548501924304145483643752720037453657012035016216783407299308452565374967046760574871132647<189>] Free to factor
3×10237+8 = 3(0)2368<238> = 23 × 10555011586974106538561941<26> × 2807448938639669226881350367<28> × [12654957389688325025526067983848935667267456949019155233283079915226325435247921330389178983861803986858065443266352149995862284655732334987641117754135437080862736802263319838680531683<185>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1154043989 for P28 / June 21, 2022 2022 年 6 月 21 日) Free to factor
3×10238+8 = 3(0)2378<239> = 23 × 11 × 73 × 1691459239<10> × 6032453527<10> × 457678172909251916568487912339661847702212399011493636167730441275805409021766065188141636503764085983387434844095131143606092787899004142027133083034545756873311747312523481295473453223882243946938394222346124976139<216>
3×10239+8 = 3(0)2388<240> = 23 × 467 × 12527 × 143927895653163179404744079174855316781025341<45> × [44537140937315864850089639620934637145590537034166032949775885116264757800856319312065901894187784161659355204231277105711635562598301702896600835528041486088580385628258268422552482055929<188>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1745317406 for P45 / September 3, 2022 2022 年 9 月 3 日) Free to factor
3×10240+8 = 3(0)2398<241> = 23 × 11 × 139080898183<12> × [245115681134392166935082217701736762367417857610263797451269218561752627685005155952855203521323300964787607515553839144486530031247526854412411794561735807201167599400281555694581324883311498718141040658863738919192518218403077<228>] Free to factor
3×10241+8 = 3(0)2408<242> = 23 × 181 × 1344061938481<13> × 2408328506323583<16> × [6400555736645053439616807645249491861605338544724637825422623127574002042451360312376372408961052820039646496535904135284286363398015665872729890538836412683396829298285837380395997174987624394023138791942412627<211>] Free to factor
3×10242+8 = 3(0)2418<243> = 23 × 7 × 11 × 8017 × 8404988560683899<16> × 85933953060450765263501<23> × [84105954126614285453876225762684645662800439324693214177621876800543883707639006195008336407160915547370035299649766956074888469555404273054704495901770703750683038412651447286316765745576481748811<197>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2120913907 for P23 / June 21, 2022 2022 年 6 月 21 日) Free to factor
3×10243+8 = 3(0)2428<244> = 23 × 10487 × 40948215324202758839647779524753807<35> × 1704154818361921041158193377544580373<37> × [512431683916006965227248125051325656206080856397291501425777121240311329476172723281387963020504346184297390239472889062972565943112657386061889259155868049155650107493<168>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3291132827 for P37 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4179152969 for P35 / June 25, 2022 2022 年 6 月 25 日) Free to factor
3×10244+8 = 3(0)2438<245> = 23 × 11 × 29 × 31 × 53 × 166849 × 17407921810934569<17> × [2463386095883234347213515289176832147160939274867791596345485487490864237796913578442232187086884240265663559074039412388867944576045588591025048384785526007649252631045658201330420672810664433797013952494907279463413<217>] Free to factor
3×10245+8 = 3(0)2448<246> = 23 × 83 × 113 × [3998294061200554430109819810214308561680349717453886341827486938906066744855528307921953299925365177524256317304616696875999573515300138607527454952553577140420087429363471585456871734726516686213882076980488324981341294381064079326154174219<241>] Free to factor
3×10246+8 = 3(0)2458<247> = 23 × 112 × 59 × 73 × 97264798215917<14> × 3153433570895776811<19> × [2346019668206459520813576055830954647717422926647763768017633515137497322888195257126552379337094747594256776944112241011556270974879175468843412067504398928554899344131807121913654966145965616137702703322909<208>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3610255030 for P19 / June 25, 2022 2022 年 6 月 25 日) Free to factor
3×10247+8 = 3(0)2468<248> = 23 × 317 × [11829652996845425867507886435331230283911671924290220820189274447949526813880126182965299684542586750788643533123028391167192429022082018927444794952681388012618296529968454258675078864353312302839116719242902208201892744479495268138801261829653<245>] Free to factor
3×10248+8 = 3(0)2478<249> = 23 × 7 × 11 × 103 × 487 × 1049362547<10> × [9252280633052001606076305581317834687471870436969571732836904613358934403524883770515711625670455463602311151970331837730305403907237809945780893762908937221899212871362995943567733018670456519525256521059550643662782883460770073239<232>] Free to factor
3×10249+8 = 3(0)2488<250> = 23 × 61 × 1097 × 24750709 × 78093596554678283<17> × 83744208634009742329779948167<29> × 34620788404299044123416132923629557264808139058077267925945530819492670671347960779698536554546669402680331220446263017947884591799589941935228332355852642643526201416495182462927933518825597<191> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2613258214 for P29 x P191 / June 21, 2022 2022 年 6 月 21 日)
3×10250+8 = 3(0)2498<251> = 23 × 11 × 223 × 293 × 5960503 × 17147791 × 762115512227987<15> × 1703169449226206432137<22> × 4647044539515007591019<22> × [8462905900177471609548037873590151063525404012383232997182220760618293797029095102894466041909866533169824885561395577761342102071097020058549614343822670486098765419504073<172>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2837885776 for P22 x P22 / June 21, 2022 2022 年 6 月 21 日) Free to factor
3×10251+8 = 3(0)2508<252> = 23 × 17 × 1223 × 49037 × 329618063 × 10427484168002496039778471<26> × 210185850946246838863631912322551205409<39> × [50914088954219376731665666671049600503347309107088984344206437400516608534314751276340998701989991742404577590576912923867552738002159531064932040828863622054470410239979<170>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2441184777 for P39 / September 3, 2022 2022 年 9 月 3 日) Free to factor
3×10252+8 = 3(0)2518<253> = 23 × 11 × 34632892739895961055999689<26> × [984350609893971614773936437361421028093112968629351407680291533652071873051168052174102113006404283749087487335497274600092657043921595701580869514824049991276535430641703340049114942954892289070431013584601315196721900235019<225>] Free to factor
3×10253+8 = 3(0)2528<254> = 23 × 19 × 5206373 × 65065801 × 177303766608085367<18> × 3286030918194736611468761311420178833134887121970305240721992866060692657683636946136240489478891747623912967469322565950417140691953722977077513193126261783395326404194918859942194396676206520967479000774481113650393969<220>
3×10254+8 = 3(0)2538<255> = 23 × 7 × 11 × 73 × 589254817 × 975808872683<12> × 89487261402919000024665597961<29> × 123064628895134245060312150976436511<36> × 552688599304863988734057224765029406990908667<45> × 1906227840934313378341199266594717688826475798406657765649729373971476273193488733841603301556760370038059480684254858003<121> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:837732412 for P29 x P36 / June 26, 2022 2022 年 6 月 26 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=51390000 for P45 x P121 / August 13, 2023 2023 年 8 月 13 日)
3×10255+8 = 3(0)2548<256> = 23 × 68242680717292739016061<23> × 61769625586299325105287949<26> × [88961115574348899619539085133170956398780725212447123573605352311473826382460939000527961080393226071881195608943503661937667519931300988362093902964071260553962664104068588674180477380124947296162799340009<206>] Free to factor
3×10256+8 = 3(0)2558<257> = 23 × 11 × 179 × 12827613222707<14> × [148470337223243214326135024059644162228487299348513388116239543823309313668275430679053159829105175256928489483569766210522389183314103986114751258198386939743849998477283777640060717853048121524732220548919950571870800163620267328382096747<240>] Free to factor
3×10257+8 = 3(0)2568<258> = 23 × 23 × 53 × 1249 × 12323 × 13081793 × 572317609 × 128949126220223<15> × 2070264763635972074635931102294621503291183345415360466084584017415738439848260316528300204818669487310455881793244105238863666705488589936909345060674173651642703590222532593220936465540266004148407522377379299778927<217>
3×10258+8 = 3(0)2578<259> = 23 × 11 × 19880363 × 65872221869<11> × 37268989439961936361<20> × [698496675190816388937135133690677432299610756909281572889405981007391995408781331453249758041448197868563648182197829046333805401399518766130133858074014324455691969869600897481202783533633142027248613878604059961927973<219>] Free to factor
3×10259+8 = 3(0)2588<260> = 23 × 31 × 1373 × 318890503831<12> × 1023193655993<13> × 6777148002690536504555432622319<31> × 210772117304764701289265020878493127<36> × [189033807915392407150839740920380342067915119383450547603151312152537067362610303520328242476812312598214065934823290692594142456166848721427373318248501725650732813<165>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2032365916 for P31 x P36 / June 26, 2022 2022 年 6 月 26 日) Free to factor
3×10260+8 = 3(0)2598<261> = 23 × 7 × 11 × 1063 × 5171 × 34863732303616937582957<23> × 2541317119114541660218449184527696108475720765274856484064056431561052560166795065488888681704558822765443657971569952293345888800311048078517907354942257674269475108774619124720197698710330447434914947016409678532383523612016933<229>
3×10261+8 = 3(0)2608<262> = 23 × 12977537 × 9529821683<10> × 7426447480850398621<19> × [408294099229862436746282391901318930523489457969021519035786285029219319689842010223425452829479925672706492560102782659045286358171054456241127718565450763891403569901822139400420754958425824368096297584114368049037440544311<225>] Free to factor
3×10262+8 = 3(0)2618<263> = 23 × 11 × 73 × 352493 × 106677223 × 923900840676618811452003706081<30> × 134421321767947556127293165349404220587901748191428316349690847577278666049753216061174857090402161838544534955492641447453496004979897349604651479236674761807111431744113480329994730613391585723554261744859428331313<216> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2963756561 for P30 x P216 / June 7, 2022 2022 年 6 月 7 日)
3×10263+8 = 3(0)2628<264> = 23 × 199 × 12589 × 23019010056421<14> × [650279877310162288293861977763103391571078353494128636675827736803218469985026730388008085326889793158612604860965056987762956090648700194322011034761832263982185721485918818142819892512382382699081717201745413739402329547199191599160217942071<243>] Free to factor
3×10264+8 = 3(0)2638<265> = 23 × 11 × 577 × 1283 × 16863989 × 1607761280139791851844857<25> × [1698455753294290495811418596560600129196811657805193506287647988591316060434812819421373208776856530021367380598864788930916605242795535810219921593503326869362997109978303396976886199931515667222017802364132641196623920931237<226>] Free to factor
3×10265+8 = 3(0)2648<266> = 23 × 3972317132453<13> × 136671600580399<15> × 6907312007759229021850917151293479529007986673142215058874873038305090078400821685947103566506433822171398992863175367820858979199227933925836455937289940399204803358163641805230070742759091366126063159923429985637818575975666443830122083<238>
3×10266+8 = 3(0)2658<267> = 23 × 72 × 11 × 42463 × 25477052357<11> × 64310613001723996092800060530900827047314353407213010279641751524478769320584703957815802108415358602892811149619223226737341970627345191271585496577673193543848055576732716134236172251602023791970184479683702641972164138910409343273046267024380649<248>
3×10267+8 = 3(0)2668<268> = 23 × 17 × 230597 × 66701827183153651<17> × 434037004522575830282297<24> × 156477004708734712901606010966797<33> × [21116098576776442146615276202047282731583662468983844199565004741668928264383910554206059663611555314874701826042532605012293012403359659496140997177037294248439098803385004589519200611811<188>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:456028677 for P24 x P33 / June 22, 2022 2022 年 6 月 22 日) Free to factor
3×10268+8 = 3(0)2678<269> = 23 × 113 × 1167773 × [2412652547525004092453841564129775144520573683250656309208041634981595639776596532081665318919278888417858332430416882497470190653202213392152661525410459060978270272406480654187688668584788063686278458051470400970880208279829412185650360633040988535472055927<259>] Free to factor
3×10269+8 = 3(0)2688<270> = 23 × 2543 × 1378907 × 1455813433493<13> × 9589332059938039<16> × [766047767226822994579380494383184740127034500476070461726150980601597969892263438823638265083296313665908179619284472255876004247268007951057531182625775503131396210088762805942950419170869619888883375315178359598360778623016397663<231>] Free to factor
3×10270+8 = 3(0)2698<271> = 23 × 11 × 53 × 73 × 3467 × 16554396502033733889509<23> × [153522720677808455742643595080952510201085932283644605409221460879086741518425107734060331863606682832868966775056807273318998404340567992884323682188173499685037731125855627359861123848999332649344534410864603404368396779199867885852445913<240>] Free to factor
3×10271+8 = 3(0)2708<272> = 23 × 19 × 29327 × 1551691 × 75950867 × 273297631 × 7402338951445475155607<22> × 12254790116705107288738499759170803917<38> × [2303357442018979797868800399851545669654752098622953943197749021786425927966958565896681891861741428529486041269499763915216327698479564296512395380342705075398385166159085431452806769<184>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4040218894 for P38 / June 22, 2022 2022 年 6 月 22 日) Free to factor
3×10272+8 = 3(0)2718<273> = 23 × 7 × 11 × 29 × 2459 × 1807809629<10> × 696154624390859521<18> × 1376128108147740611<19> × 20469217054258520599<20> × [192648446550133478955299538658728215912722777047927089833292633635459774139559724741517999206053769121597107443034979054408977735204260057448901870143716307357447324032407353829978116140517638627162683<201>] Free to factor
3×10273+8 = 3(0)2728<274> = 23 × 503 × 9859 × 757763 × 150895193 × 1878758393<10> × 136917860273<12> × 3488893651454971575433671662612807<34> × [736890311918311463533107918341670916657445975748416326183707452654459645041802513371909699847057388218091443558964914906329971909208879596328743601122942536977247910902263323116720387576718579439609<198>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2532476528 for P34 / June 26, 2022 2022 年 6 月 26 日) Free to factor
3×10274+8 = 3(0)2738<275> = 23 × 11 × 31 × 10997067448680351906158357771260997067448680351906158357771260997067448680351906158357771260997067448680351906158357771260997067448680351906158357771260997067448680351906158357771260997067448680351906158357771260997067448680351906158357771260997067448680351906158357771261<272>
3×10275+8 = 3(0)2748<276> = 23 × 170551 × 1839650037682687159<19> × [119520330081681136737059205815696235948922216437240327529924326295534739042746386565497755481258303301231653628162546797636688665752656962632257467922314214732427933956653227755636588337325143635680038159167471034115755336691032565171403020299145402289<252>] Free to factor
3×10276+8 = 3(0)2758<277> = 23 × 11 × 270061073783969051<18> × 1360691592130607203480259<25> × [92771993996693946477438862341003338634039893285704614340961802162351026325121838861164400588823491286402385830693058933669484780884583324127546444012020732578102674109758101013515753936048781695405171933342121482011807254320553203699<233>] Free to factor
3×10277+8 = 3(0)2768<278> = 23 × 8011 × 90793785559<11> × 3443587492042674011551<22> × 7920187998611591867405112458813291783<37> × 189034816451525051109813871058645427922960439024127942171597666752133801474321605457831171697925785990494920699895822192684318833068241609079447952233113373443963189248365992097180524280681051848238805853<204> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3748800594 for P37 x P204 / June 22, 2022 2022 年 6 月 22 日)
3×10278+8 = 3(0)2778<279> = 23 × 7 × 11 × 73 × 1085759099<10> × 490500082081<12> × 1355439407539448541569403289<28> × 1229976836182638536604792192491<31> × [7513946177828095956035209784431181259366948826109912132659762277841176095824987182284824630431331264109920484180019841046571001231985531595068716476655754746044961915336639341052574146485366184701<196>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2733790433 for P31 / June 22, 2022 2022 年 6 月 22 日) Free to factor
3×10279+8 = 3(0)2788<280> = 23 × 23 × 47 × 774593 × 7310011 × 420455881041162895959681181<27> × 519804656096288446706157415699<30> × [280319544348185145968376778220706222750678815933741557944393504253333289596269433501562543186969886018223102951182745649430432464245153127815725895941840183538533243534237544915318372861640725829626294780733<207>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3985483194 for P30 / June 22, 2022 2022 年 6 月 22 日) Free to factor
3×10280+8 = 3(0)2798<281> = 23 × 11 × 422239655983<12> × 364616915873182177<18> × 78395629218073149122479<23> × 34301818797924259902874691<26> × 12615455928247444044710534290863971<35> × [65272583268640596698565853987402614498640861621824936899908680104727803625280100338114252785611736767651172311101241154146057601271858996934357414247232789387644747179<167>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3543336320 for P23 x P26 x P35 / June 22, 2022 2022 年 6 月 22 日) Free to factor
3×10281+8 = 3(0)2808<282> = 23 × 257 × 5483 × 32500288039<11> × 3380507350111<13> × 113851063041481<15> × 476896965383156870013189172259074291<36> × [4461173923790675766094799245806172872125868931535477117197195867472562033111566164556111125388376877314445920267125574715279497409958235485732305145893171589681940599091669568134835382086579725940057969<202>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1682756920 for P36 / June 23, 2022 2022 年 6 月 23 日) Free to factor
3×10282+8 = 3(0)2818<283> = 23 × 11 × 103 × 3797 × 32099 × 44771 × 160163 × [378713047833028890476363722016485609894894270545974283258122584318418585458108968275698602977024494218509175073927026410265084093819799102558264443033695646296129653215671659481780536511962342080468472801159743379731926086661268571521717412002821738393686230563<261>] Free to factor
3×10283+8 = 3(0)2828<284> = 23 × 17 × 53 × 6571 × 12710513418494295077<20> × [49832412871742155630374040465217221350285699509167195394805297866194526665377395705021407262849749882175137104842389192105298580340837900628844675866563587317681637481379171673927043523957827257752595782000414677044447153706114948495582559812228217695928603<257>] Free to factor
3×10284+8 = 3(0)2838<285> = 23 × 7 × 11 × 23669 × 1992031 × 347037853711<12> × 35572932858838548496122581<26> × [836696628267747031603844363516768991139528383034252507444403973657215900169059467717252632854864833584752510677110163532004421572156338796332828995635754919443501495316049207041347266522771862527697336248707925286209038140591189442237<234>] Free to factor
3×10285+8 = 3(0)2848<286> = 23 × 1697 × 2971 × 163697 × 56061158349409<14> × [8104831424514246302968834300007818121820978341182441705211767537772109471128799001133606775165068509509883507161131634102492620019472038195284601795631649279084236449201487315066244997686631415504247095240843552190491442649054724354831857797196231244026442051<259>] Free to factor
3×10286+8 = 3(0)2858<287> = 23 × 11 × 73 × 83 × 2611259018399069<16> × 217870856571686852860831<24> × [98898233938670940520630413383358363006598927110584000127798912461268094310112701215597402883713878520344575292579384874581334213347607731528667657377044547624504379879309581975530319565831527968704456905106722670458451283581595096909469541091<242>] Free to factor
3×10287+8 = 3(0)2868<288> = 23 × 2311 × 856099 × 2463413 × 117605091029180424184101786631<30> × 92087327359752127511422508313410311<35> × 97814418101698401849921765641105941<35> × 7263421325710099791766778360321464417803807235447045376155072676655958371228916882145377192735081314014287131467738950670426208126537427340206270334493630047435334434073653<172> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2040322212 for P30 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:888075897 for P35 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / for P35 x P172 / September 1, 2022 2022 年 9 月 1 日)
3×10288+8 = 3(0)2878<289> = 23 × 11 × 1091 × 47401160789<11> × 49289563006498945283<20> × 9243065738604753629939<22> × 2492252137382253856292048707541<31> × 301631250615339732093647051499871<33> × 60666515410552183657741334389747961340830450239<47> × 36777066871112512192870857199018671419899673393657846298299<59> × 862699196379567892938155159997119548599136292245979599487987267<63> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1234767147 for P33 / June 23, 2022 2022 年 6 月 23 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3224324176 for P31 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / for P47 / June 16, 2024 2024 年 6 月 16 日) (Mehrshad Alipour / cado-nfs for P59 x P63 / June 18, 2024 2024 年 6 月 18 日)
3×10289+8 = 3(0)2888<290> = 23 × 19 × 31 × 107 × 11717 × 170389 × 112011852534995770131487864861729<33> × [266078774290566611222666179582543726029614518789987830179335096003740461892475016205767150390139034922101481034142090643427977028585981483531374623309626485842919738416675318394163096374790769053993687072783181879482270909573137956673347932631<243>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3773031564 for P33 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10290+8 = 3(0)2898<291> = 23 × 7 × 112 × 1078621558858153265479<22> × [41046748552977786234038624261646545519672796483682312493633114861866034567639939541221625554806397960957856727624260466807036500289048564158328568129869775033327571273939743327022346215013880702187195383326305680796130364401887719156137920603271898013574088279602777<266>] Free to factor
3×10291+8 = 3(0)2908<292> = 23 × 10427 × 266993 × 35816933 × 65630089015351759<17> × 57303431705966069786224532349432240309514114275741570082363106556039614544342079071854874187043087265342362610275112719898728438653838490429799553311849817647029765358591041484523946851377111048112270179580369676779457824432760396557412999853732792954734953<257>
3×10292+8 = 3(0)2918<293> = 23 × 11 × 971 × 16088733971<11> × 16706457942011<14> × 2191188627782743<16> × [596119508960151836308636223924762913670493129386609546786610533790778353693975355669949479997891385769618150341087052653986553002248104635960299030684454390784192160121243670765148361587202385076552206682314623117830806622910879945714150933860279487<249>] Free to factor
3×10293+8 = 3(0)2928<294> = 23 × [37500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<293>] Free to factor
3×10294+8 = 3(0)2938<295> = 23 × 11 × 73 × 193 × 108707 × 6614617 × 29364341 × 13814194544661598403<20> × [8295649100927135741203995952751230999280093856738039049156345636263236625464458434040667835410466098700361859901025291751967319104158258286713466398336249671055022947865367814499183800771404439559511579706323596106221312733922046019137939204801970687<250>] Free to factor
3×10295+8 = 3(0)2948<296> = 23 × 149478353 × 8134028361344766866719<22> × 3084233722577739208388886961472599790914503915449180997407261984739939636173283031396947392431406528658089688905104572478410425201760537579313015597829506617238241854776207014905202799238637735485896545274880809822196289093511284752666498325603233805892540213760943<265>
3×10296+8 = 3(0)2958<297> = 23 × 7 × 11 × 53 × 823 × 9083939 × [1229109650318598019670027344619692441137261320934110626387652905847683184861026900950624158066031044435264303399454488977328115191499732730887743926474452739215919561087689622213391009745733597532597106209494766222258837995699248094049336539687309671353160468821660690632345254065693<283>] Free to factor
3×10297+8 = 3(0)2968<298> = 23 × 151 × 6879585124999<13> × 92302491602309323933180514821<29> × [3910917432167448610754958370679583497907671677881449868663627320849393083382847466060353129772489722053767710408470153919468560451708835809226937444222146497857640791225856451590980754544751918186718163129213317125045541481206125041313284372573189105069<253>] Free to factor
3×10298+8 = 3(0)2978<299> = 23 × 11 × 313 × 9011 × 767927833240372483120262119591<30> × 157398593284151481986854374934991507587050134113976282400606066646767048257989462921740002796797854292226123937572276766855807379684298958471204629762429561748294626996702822210681399220948751848890470730217045401454524835099514390319764235246565059021707959807<261> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4190162163 for P30 x P261 / June 7, 2022 2022 年 6 月 7 日)
3×10299+8 = 3(0)2988<300> = 23 × 172 × 59612537 × 198274159 × 156114429511<12> × 1335343072030907<16> × 127036620015726595107079<24> × 414538497883927453658452751100960064123450065739333499764674440056663628286706532553062912368736804909926211576902014553452656608836079821313316834539190452125754421644640739774394898889229454864368659252501494818242124191240684181<231> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3778026693 for P24 x P231 / June 24, 2022 2022 年 6 月 24 日)
3×10300+8 = 3(0)2998<301> = 23 × 11 × 29 × 36092819211560539292979010491189841157<38> × [32570151487783040065649884865774549848127571030982197283929820196756716410816281884815489945233458919664232090815206900123885631749630284381114531849910351537437179146353154558947108290261839975364212079425763596535622122954854120167025981700575921140212725747<260>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3941400129 for P38 / June 13, 2022 2022 年 6 月 13 日) Free to factor
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