## 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, … }

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

July 28, 2024 2024 年 7 月 28 日

### 3.2. Range of factorization 分解範囲

• n≤100 / Completed 終了 / June 7, 2022 2022 年 6 月 7 日
• n≤150 / Completed 終了 / June 18, 2022 2022 年 6 月 18 日
• n≤200 / Completed 終了 / December 21, 2022 2022 年 12 月 21 日
• n≤300 / Remaining 57 残り 57

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

n=209, 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 (57/300)

### 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 × [958123610720764454891540407266409463706277625897442448708449372748409514806203531004880042923937760290247579141010245535143974041237640205421702138531899128746263317918189018625922992411661003091545517259<204>] Free to factor
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
plain text versionプレーンテキスト版