Table of contents 目次

  1. About 700...006 700...006 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 700...006 700...006 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 700...006 700...006 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 700...006 700...006 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

70w6 = { 76, 706, 7006, 70006, 700006, 7000006, 70000006, 700000006, 7000000006, 70000000006, … }

1.3. General term 一般項

7×10n+6 (1≤n)

2. Prime numbers of the form 700...006 700...006 の形の素数

2.1. Last updated 最終更新日

November 25, 2022 2022 年 11 月 25 日

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

No prime number of the form 700...006 exists. 700...006 の形の素数は存在しません。

3. Factor table of 700...006 700...006 の素因数分解表

3.1. Last updated 最終更新日

July 18, 2024 2024 年 7 月 18 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=208, 209, 213, 215, 219, 220, 222, 224, 225, 226, 227, 232, 235, 236, 237, 238, 239, 240, 242, 243, 244, 245, 246, 247, 248, 253, 254, 255, 256, 257, 258, 260, 262, 263, 265, 266, 267, 268, 269, 271, 273, 275, 276, 277, 278, 279, 280, 283, 284, 285, 287, 290, 291, 292, 293, 294, 295, 296, 298 (59/300)

3.4. Factor table 素因数分解表

7×101+6 = 76 = 22 × 19
7×102+6 = 706 = 2 × 353
7×103+6 = 7006 = 2 × 31 × 113
7×104+6 = 70006 = 2 × 17 × 29 × 71
7×105+6 = 700006 = 2 × 350003
7×106+6 = 7000006 = 2 × 13 × 269231
7×107+6 = 70000006 = 2 × 2879 × 12157
7×108+6 = 700000006 = 2 × 1979 × 176857
7×109+6 = 7000000006<10> = 2 × 45763 × 76481
7×1010+6 = 70000000006<11> = 2 × 89 × 199 × 1976173
7×1011+6 = 700000000006<12> = 2 × 191 × 2729 × 671477
7×1012+6 = 7000000000006<13> = 2 × 13 × 269230769231<12>
7×1013+6 = 70000000000006<14> = 2 × 179 × 195530726257<12>
7×1014+6 = 700000000000006<15> = 2 × 43 × 359 × 22672799119<11>
7×1015+6 = 7000000000000006<16> = 2 × 3500000000000003<16>
7×1016+6 = 70000000000000006<17> = 2 × 119321 × 293326405243<12>
7×1017+6 = 700000000000000006<18> = 2 × 163 × 3457 × 7079 × 87742327
7×1018+6 = 7000000000000000006<19> = 2 × 13 × 23 × 31 × 377602761894487<15>
7×1019+6 = 70000000000000000006<20> = 2 × 19 × 16233617 × 113474727361<12>
7×1020+6 = 700000000000000000006<21> = 2 × 17 × 6639383 × 3100925988773<13>
7×1021+6 = 7000000000000000000006<22> = 2 × 1451 × 13163 × 713233 × 256929707
7×1022+6 = 70000000000000000000006<23> = 2 × 6352395041<10> × 5509732907683<13>
7×1023+6 = 700000000000000000000006<24> = 2 × 617 × 28649 × 19800374883326291<17>
7×1024+6 = 7000000000000000000000006<25> = 2 × 13 × 9344659 × 28811192493034709<17>
7×1025+6 = 70000000000000000000000006<26> = 2 × 115859 × 131777 × 5184103 × 442206407
7×1026+6 = 700000000000000000000000006<27> = 2 × 25013 × 87721 × 13486657 × 11827538623<11>
7×1027+6 = 7000000000000000000000000006<28> = 2 × 33827832917<11> × 103465096584448759<18>
7×1028+6 = 70000000000000000000000000006<29> = 2 × 35000000000000000000000000003<29>
7×1029+6 = 700000000000000000000000000006<30> = 2 × 7804575217<10> × 44845490019447396659<20>
7×1030+6 = 7000000000000000000000000000006<31> = 2 × 13 × 269230769230769230769230769231<30>
7×1031+6 = 70000000000000000000000000000006<32> = 2 × 421 × 12451 × 6416611 × 167408687 × 6215814049<10>
7×1032+6 = 700000000000000000000000000000006<33> = 2 × 29 × 67 × 6823 × 8188580971<10> × 3224120200606537<16>
7×1033+6 = 7000000000000000000000000000000006<34> = 2 × 31 × 47 × 102037839679<12> × 23542210432045005901<20>
7×1034+6 = 70000000000000000000000000000000006<35> = 2 × 353 × 245107 × 404517788733326629125181393<27>
7×1035+6 = 700000000000000000000000000000000006<36> = 2 × 43 × 127 × 1223 × 52404600045846538668680600401<29>
7×1036+6 = 7000000000000000000000000000000000006<37> = 2 × 13 × 17 × 61 × 83 × 3617 × 864807275298241878362429833<27>
7×1037+6 = 70000000000000000000000000000000000006<38> = 2 × 19 × 1602339989<10> × 160229218913<12> × 7174936411618541<16>
7×1038+6 = 700000000000000000000000000000000000006<39> = 2 × 19891 × 5802752623<10> × 3032336338517340919555871<25>
7×1039+6 = 7000000000000000000000000000000000000006<40> = 2 × 71 × 1049 × 46993112152418802615502356368909357<35>
7×1040+6 = 70000000000000000000000000000000000000006<41> = 2 × 23 × 1009 × 20149 × 1776536141<10> × 2135548841<10> × 19729314227341<14>
7×1041+6 = 700000000000000000000000000000000000000006<42> = 2 × 907 × 385887541345093715545755237045203969129<39>
7×1042+6 = 7000000000000000000000000000000000000000006<43> = 2 × 13 × 59 × 38017875733<11> × 120028625713870545850603737673<30>
7×1043+6 = 70000000000000000000000000000000000000000006<44> = 2 × 15809 × 382984769 × 5780722770070683793423684259843<31>
7×1044+6 = 700000000000000000000000000000000000000000006<45> = 2 × 727 × 91433 × 1280873878513981<16> × 4110780568142274783793<22>
7×1045+6 = 7000000000000000000000000000000000000000000006<46> = 2 × 1396139200324261<16> × 2506913350178195533910850822023<31>
7×1046+6 = 70000000000000000000000000000000000000000000006<47> = 2 × 33287 × 111271 × 124759 × 7678894923419<13> × 9863721178210248959<19>
7×1047+6 = 700000000000000000000000000000000000000000000006<48> = 2 × 350000000000000000000000000000000000000000000003<48>
7×1048+6 = 7000000000000000000000000000000000000000000000006<49> = 2 × 13 × 31 × 9098129 × 954576872186929971267260693435835528769<39>
7×1049+6 = 70000000000000000000000000000000000000000000000006<50> = 2 × 35000000000000000000000000000000000000000000000003<50>
7×1050+6 = 700000000000000000000000000000000000000000000000006<51> = 2 × 121396956240781492541<21> × 2883103587093254753021773765183<31>
7×1051+6 = 7(0)506<52> = 2 × 167 × 313 × 328513 × 64868633 × 2495057249<10> × 7928538797<10> × 158835018812489<15>
7×1052+6 = 7(0)516<53> = 2 × 17 × 3520860869<10> × 1323421874371<13> × 441847040634585603855227097341<30>
7×1053+6 = 7(0)526<54> = 2 × 350000000000000000000000000000000000000000000000000003<54>
7×1054+6 = 7(0)536<55> = 2 × 13 × 89 × 42865537241752089312966299<26> × 70571023191822827387392421<26>
7×1055+6 = 7(0)546<56> = 2 × 192 × 245417 × 395053759875060072156907858688186516663926310419<48>
7×1056+6 = 7(0)556<57> = 2 × 43 × 2341 × 3476947835848325601263622184914020047087807834060181<52>
7×1057+6 = 7(0)566<58> = 2 × 227 × 6323063 × 56595421 × 423133561 × 850375927 × 119741571345360430855469<24>
7×1058+6 = 7(0)576<59> = 2 × 193 × 971 × 186763285539719214740425713569153108541485461812244201<54>
7×1059+6 = 7(0)586<60> = 2 × 257123 × 22034953 × 33740971673231<14> × 1830869559213028545135601820435927<34>
7×1060+6 = 7(0)596<61> = 2 × 13 × 29 × 2239 × 52310351 × 4102644083<10> × 19320622908231605141459559451248805897<38>
7×1061+6 = 7(0)606<62> = 2 × 4339 × 225351383 × 196730186385661274992889<24> × 181947948458925788043277871<27>
7×1062+6 = 7(0)616<63> = 2 × 23 × 514249 × 1930519 × 619030301727413<15> × 24761717459478632135842682648461487<35>
7×1063+6 = 7(0)626<64> = 2 × 31 × 112903225806451612903225806451612903225806451612903225806451613<63>
7×1064+6 = 7(0)636<65> = 2 × 547 × 7752181 × 2815181203<10> × 117717879439<12> × 24906232024520960732948895726298337<35>
7×1065+6 = 7(0)646<66> = 2 × 67 × 25339 × 177787 × 1607371 × 721419105918837725727718223889880448604059970203<48>
7×1066+6 = 7(0)656<67> = 2 × 13 × 263 × 353 × 4391 × 664679 × 685881653 × 4050974889569<13> × 357610371848583901508321866373<30>
7×1067+6 = 7(0)666<68> = 2 × 157 × 222929936305732484076433121019108280254777070063694267515923566879<66>
7×1068+6 = 7(0)676<69> = 2 × 17 × 257 × 43067 × 1029124543<10> × 141335351567<12> × 8294285522902513193<19> × 1541855444758295237617<22>
7×1069+6 = 7(0)686<70> = 2 × 197 × 25717 × 38723 × 28186732910593<14> × 56754919887410749<17> × 11152295335491656350947338477<29>
7×1070+6 = 7(0)696<71> = 2 × 6011 × 5822658459490933288970221261021460655464980868407918815504907669273<67>
7×1071+6 = 7(0)706<72> = 2 × 12813518845708951<17> × 18226268225788388407882343<26> × 1498655718250457228196130975171<31>
7×1072+6 = 7(0)716<73> = 2 × 132 × 11617 × 2080433 × 709692539 × 1207433933146205880883154681907254047179337823491553<52>
7×1073+6 = 7(0)726<74> = 2 × 19 × 607471781238535463<18> × 3032412895628079755652535541963537404572669259908115399<55>
7×1074+6 = 7(0)736<75> = 2 × 71 × 29611806554337834263020128898231409<35> × 166473377966417873668797473001158433077<39> (Eric Jeancolas / ECM for P35 x P39 / November 20, 2022 2022 年 11 月 20 日)
7×1075+6 = 7(0)746<76> = 2 × 653 × 11613451 × 461523236160771525957047274831068738876125486502736277709844055501<66>
7×1076+6 = 7(0)756<77> = 2 × 419 × 83532219570405727923627684964200477326968973747016706443914081145584725537<74>
7×1077+6 = 7(0)766<78> = 2 × 43 × 83 × 127 × 10657 × 970789 × 4064455393<10> × 5294389003<10> × 3398992518737<13> × 1020444865822914318653986868939<31>
7×1078+6 = 7(0)776<79> = 2 × 13 × 31 × 8684863523573200992555831265508684863523573200992555831265508684863523573201<76>
7×1079+6 = 7(0)786<80> = 2 × 47 × 744680851063829787234042553191489361702127659574468085106382978723404255319149<78>
7×1080+6 = 7(0)796<81> = 2 × 6063511 × 91430162267<11> × 5381862977074246009<19> × 117306410985837315460491803257727539281002791<45>
7×1081+6 = 7(0)806<82> = 2 × 9345451 × 10940057 × 63964025743<11> × 10371762040413756397875710531<29> × 51601207115396903414196776213<29>
7×1082+6 = 7(0)816<83> = 2 × 379 × 92735851159951<14> × 18441728826020962847704057<26> × 53998231973924121691672635866574940118351<41>
7×1083+6 = 7(0)826<84> = 2 × 97 × 65344853354449<14> × 55218540366266581957896468298157404059264489280343974324170233153651<68>
7×1084+6 = 7(0)836<85> = 2 × 13 × 17 × 23 × 69071351009<11> × 4955093797351<13> × 46807336525577<14> × 42981758022298110550342303081934176726329287<44>
7×1085+6 = 7(0)846<86> = 2 × 32833 × 4882667 × 515924089 × 1223116260914917<16> × 1358440324399177692345161<25> × 254686696702169176614933461<27>
7×1086+6 = 7(0)856<87> = 2 × 3172889 × 40028441309453<14> × 32979202445717025364659869387<29> × 83561136373339462812292879585045102357<38>
7×1087+6 = 7(0)866<88> = 2 × 109 × 2990826636063150827<19> × 10736192916011353388778704541316115191627245984489499313204915299021<68>
7×1088+6 = 7(0)876<89> = 2 × 29 × 7631488927<10> × 6371792434075393261<19> × 24819849751820787556705656212609236135563862214439505028581<59>
7×1089+6 = 7(0)886<90> = 2 × 659 × 5559868946579315117262909229<28> × 95525226242112099898250387223282196339228967769659565115573<59>
7×1090+6 = 7(0)896<91> = 2 × 13 × 6114659543386667737<19> × 2190462407471055822101<22> × 20100951084343157320561011124232798982792312609163<50>
7×1091+6 = 7(0)906<92> = 2 × 19 × 1531 × 5501 × 144577462361440501<18> × 46110940112670678567582874063<29> × 32809003005696818435770318985130993229<38>
7×1092+6 = 7(0)916<93> = 2 × 128237 × 2151647212858153369<19> × 931064565799154788997070167<27> × 1362397477520496888958333889239772989705553<43>
7×1093+6 = 7(0)926<94> = 2 × 31 × 112903225806451612903225806451612903225806451612903225806451612903225806451612903225806451613<93>
7×1094+6 = 7(0)936<95> = 2 × 911 × 7289434420426068085605326383030751<34> × 5270548744020811171895623484921015298716912610537949866323<58> (Eric Jeancolas / ECM for P34 x P58 / November 20, 2022 2022 年 11 月 20 日)
7×1095+6 = 7(0)946<96> = 2 × 76119244147<11> × 44636441905337<14> × 15071981077663688269477123693661<32> × 6834608911270256604759190225803425282957<40> (Eric Jeancolas / ECM for P32 x P40 / November 20, 2022 2022 年 11 月 20 日)
7×1096+6 = 7(0)956<97> = 2 × 13 × 61 × 181 × 1873 × 4357 × 13017436997297<14> × 229543743711945302645084186016736898686388759715133708178339807399549923<72>
7×1097+6 = 7(0)966<98> = 2 × 4273 × 8190966534051018020126374912239644278024806927217411654575239878305640065527732272408144161011<94>
7×1098+6 = 7(0)976<99> = 2 × 43 × 67 × 89 × 163 × 353 × 162277 × 2721692689<10> × 1988898014629203373<19> × 27006226040358860433332282932253855462427975942801114137<56>
7×1099+6 = 7(0)986<100> = 2 × 746807 × 4965335592178883<16> × 5687632435024790863<19> × 657559688583183910067651<24> × 252373850872987137589087382694730051<36>
7×10100+6 = 7(0)996<101> = 2 × 17 × 59 × 474719152846607<15> × 17886492688497373<17> × 4109653136348036925222724686142011942347462115741291677795439156691<67>
7×10101+6 = 7(0)1006<102> = 2 × 1267638193<10> × 7979185603474729714007639981<28> × 34603032557175603676370767246050376450004779987393807273445352991<65>
7×10102+6 = 7(0)1016<103> = 2 × 13 × 2325317 × 134568493 × 860397493413354517396858766875280795099611674855389328695751788368816006947147555715951<87>
7×10103+6 = 7(0)1026<104> = 2 × 212987 × 88881182051<11> × 191527216206331407431<21> × 9653273919859083262283708240211222635213819026199868360752811785749<67>
7×10104+6 = 7(0)1036<105> = 2 × 26407 × 1035473 × 53437954893732450774621177840569442827826717689<47> × 239530251634175979623940526495594998689741382557<48> (Eric Jeancolas / ECM for P47 x P48 / November 20, 2022 2022 年 11 月 20 日)
7×10105+6 = 7(0)1046<106> = 2 × 216046837 × 23409184912307<14> × 1810316535151434427786557101<28> × 382278014314714592234395615344989241504309034090634427617<57>
7×10106+6 = 7(0)1056<107> = 2 × 23 × 131 × 191 × 60818477696126558039073265413574336687617184173989500993078857238180797695153462395935240484949164441<101>
7×10107+6 = 7(0)1066<108> = 2 × 154491338783767387401088020176183989397330877251521<51> × 2265499171379923146812463191964973598084125640893046632643<58> (Eric Jeancolas / ECM for P51 x P58 / November 20, 2022 2022 年 11 月 20 日)
7×10108+6 = 7(0)1076<109> = 2 × 13 × 31 × 80489 × 2455381 × 25252126657<11> × 558784185720781<15> × 3114336316152998833878489342159822241912623632611732844254526536224217<70>
7×10109+6 = 7(0)1086<110> = 2 × 19 × 71 × 199 × 1439 × 1874993 × 288929852257434337963424891881<30> × 3866725005902745122123218653287<31> × 43252067407091147449940677087725137<35> (Eric Jeancolas / ECM for P30 x P31 x P35 / November 20, 2022 2022 年 11 月 20 日)
7×10110+6 = 7(0)1096<111> = 2 × 160403 × 567533 × 2896501 × 1327366203489689265817160940212310085208229633535103669914911353593645700797876495449490132097<94>
7×10111+6 = 7(0)1106<112> = 2 × 509 × 617 × 5883124538586349848895249300866768030812976836981<49> × 1894336188981493453332944314241327352475005642293632710571<58> (Eric Jeancolas / ECM for P49 x P58 / November 20, 2022 2022 年 11 月 20 日)
7×10112+6 = 7(0)1116<113> = 2 × 69763 × 177975067 × 10616525849<11> × 265522488438517741973961212001480323016388843515282851116586509216374332550079836352244107<90>
7×10113+6 = 7(0)1126<114> = 2 × 18451 × 4746559 × 35324457602344439<17> × 113134158230540800549426571431692643546803136190443202733012977239181053364415795290953<87>
7×10114+6 = 7(0)1136<115> = 2 × 13 × 211219 × 62685263323421255821<20> × 218801154779257035973859152173013931<36> × 92934431276231474633720173071003135644881159865267899<53> (Eric Jeancolas / ECM for P36 x P53 / November 20, 2022 2022 年 11 月 20 日)
7×10115+6 = 7(0)1146<116> = 2 × 113 × 2347 × 281797 × 1787663 × 7883741 × 1977776467<10> × 16801379488648845468867744480501991931692609007292440322205816657839200930401821469<83>
7×10116+6 = 7(0)1156<117> = 2 × 17 × 29 × 12384341 × 63690533 × 2878198669<10> × 1173368090671206281<19> × 3216961855301419766501238509045029<34> × 82846160738715625305536387478361871647<38> (Eric Jeancolas / ECM for P34 x P38 / November 20, 2022 2022 年 11 月 20 日)
7×10117+6 = 7(0)1166<118> = 2 × 10520000630213<14> × 332699599841101433967675094575054716974433617052401796250447412511101218549559672454976249347153324161831<105>
7×10118+6 = 7(0)1176<119> = 2 × 83 × 224591597377920883577<21> × 7030853751916293727357<22> × 267047418234362985433893966035434921676879281416984219256493676902350013069<75>
7×10119+6 = 7(0)1186<120> = 2 × 43 × 127 × 433 × 410833 × 360282071064834184726758657337163944823722977939704624283718367049409148238216395069806553089780153231020407<108>
7×10120+6 = 7(0)1196<121> = 2 × 13 × 149 × 2824973 × 2247908420959<13> × 7905601915918437771164155263497<31> × 35992380071417192105806692464465444539348456507319063650160426418361<68> (Eric Jeancolas / ECM for P31 x P68 / November 20, 2022 2022 年 11 月 20 日)
7×10121+6 = 7(0)1206<122> = 2 × 81071 × 6426359 × 50302725504153052507375506343491127915523<41> × 1335506525837484659835112145522848967506224588775859970275456274982249<70> (Eric Jeancolas / ECM for P41 x P70 / November 20, 2022 2022 年 11 月 20 日)
7×10122+6 = 7(0)1216<123> = 2 × 1579 × 221659278024065864471184293856871437618746041798606713109563014566181127295756808106396453451551614946168461051298290057<120>
7×10123+6 = 7(0)1226<124> = 2 × 31 × 819025221541<12> × 1989994808265746603<19> × 148065648318671514109655925120937329485004503<45> × 467845890126680977835813859813508810155262802477<48> (Eric Jeancolas / ECM for P45 x P48 / November 20, 2022 2022 年 11 月 20 日)
7×10124+6 = 7(0)1236<125> = 2 × 178395227 × 196193589865495672706534911945822407008680787182719860548735421043523770958289147500566256741835363117646639727642489<117>
7×10125+6 = 7(0)1246<126> = 2 × 47 × 11972678741678481498729257<26> × 19216301383359179947820978797230187130068936323931<50> × 32367492462713971287738256595775710697859429870847<50> (Eric Jeancolas / cado-nfs-3.0.0 for P50(1921...) x P50(3236...) / November 20, 2022 2022 年 11 月 20 日)
7×10126+6 = 7(0)1256<127> = 2 × 13 × 18604661501486429459724360269349004351841213<44> × 14471145804467277909329553266641761806007449717141520107360826471222866155343284987<83> (Ignacio Santos / GNFS, Msieve for P44 x P83 / November 27, 2022 2022 年 11 月 27 日)
7×10127+6 = 7(0)1266<128> = 2 × 19 × 563 × 9068417053<10> × 1635061172263067797<19> × 2159800335940374360973<22> × 38543929916900652885457<23> × 2650763370845980740131653761797131469136264607483399<52>
7×10128+6 = 7(0)1276<129> = 2 × 23 × 499 × 253537 × 1252265255729<13> × 5844567517377067817370735482457277<34> × 92470504198132992516655723114451653<35> × 177724122517675402016687629428363427703<39> (Eric Jeancolas / ECM for P34 x P35 x P39 / November 20, 2022 2022 年 11 月 20 日)
7×10129+6 = 7(0)1286<130> = 2 × 6870053 × 9663391 × 29586543163<11> × 5966744228959302641<19> × 2015963285965950523561<22> × 148137202251672289125473541856309251764094404089712137688958629747<66>
7×10130+6 = 7(0)1296<131> = 2 × 353 × 250048511595341272597850826730232049187<39> × 396523622598147013130164460230556881134013636339623707465895493935778270311550103910718273<90> (Norman Powell / CADO-NFS v3.0.0. for P39 x P90 / December 1, 2022 2022 年 12 月 1 日)
7×10131+6 = 7(0)1306<132> = 2 × 67 × 487 × 491 × 40552073 × 612767910241348343<18> × 879171729310066440101179477200281004735583200791295810292193329850335270529151634285788366379788043<99>
7×10132+6 = 7(0)1316<133> = 2 × 13 × 17 × 337 × 277104643 × 90659809627398329<17> × 1870627283802798728101274593515362208301207773631995165454016103518322099852267127579144496796665329037<103>
7×10133+6 = 7(0)1326<134> = 2 × 1350001 × 5660899 × 33049651 × 138573973435532241280506299039470518463703875737770896408681638756913963204359712578080169164466907035848612348747<114>
7×10134+6 = 7(0)1336<135> = 2 × 223 × 389 × 448561 × 8994811545908390682088069544082025396837704338330580175673067697442203626840948345127025136887265169654693389441482670491209<124>
7×10135+6 = 7(0)1346<136> = 2 × 715099023567465296951631538297<30> × 23513396407791174152045731114071686327984651<44> × 208154830505776427838401236751764403585341882507170066862296049<63> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:185667392 for P30 / November 20, 2022 2022 年 11 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P44 x P63 / November 28, 2022 2022 年 11 月 28 日)
7×10136+6 = 7(0)1356<137> = 2 × 133451 × 7210583 × 1448436354812921<16> × 1220740988759048458905488114066556738737<40> × 20570880801849461592805604327306225559680206339281271860776247042522983<71> (Eric Jeancolas / ECM for P40 x P71 / November 20, 2022 2022 年 11 月 20 日)
7×10137+6 = 7(0)1366<138> = 2 × 269 × 1306078204271917<16> × 996200103010680047250564445171620202596905087216420321020437704807159078539020689021237697905009490510872582197212831211<120>
7×10138+6 = 7(0)1376<139> = 2 × 13 × 31 × 4451 × 256345073 × 141202261971691<15> × 1226381431258697179<19> × 43955498442021285377483679474461432147417730118246396781111394114011123381809605273609484883<92>
7×10139+6 = 7(0)1386<140> = 2 × 2748157 × 1529170245827899<16> × 6622009211880297571205703618679091<34> × 113220670625621153394625428391708704581<39> × 11108493411740528504964677897709379131903833651<47> (Eric Jeancolas / ECM for P34 x P39 x P47 / November 20, 2022 2022 年 11 月 20 日)
7×10140+6 = 7(0)1396<141> = 2 × 43 × 143192993 × 1072401859338870701<19> × 53005418003993895593128935184836767042298048866965419124189912666491547916616789152347554067882502216228838445997<113>
7×10141+6 = 7(0)1406<142> = 2 × 439 × 115019 × 206467 × 445106323 × 406777480693<12> × 4127786800559<13> × 34985039405561683<17> × 4132876800730714300291<22> × 3106780270349299500806804021017723459333185167568614558333<58>
7×10142+6 = 7(0)1416<143> = 2 × 89 × 273766665630081322394795611962481679<36> × 1436473012743159651588021325730574380352477303043592355691107424480973173886083986904484598631669845675413<106> (Bob Backstrom / Msieve 1.54 snfs for P36 x P106 / November 26, 2022 2022 年 11 月 26 日)
7×10143+6 = 7(0)1426<144> = 2 × 599 × 32023567249<11> × 515208946756880952319333194454206861565157244829882477<54> × 35415071064610031073712775847801485107068807776172732389669420229823933212889<77> (Bob Backstrom / Msieve 1.54 snfs for P54 x P77 / November 26, 2022 2022 年 11 月 26 日)
7×10144+6 = 7(0)1436<145> = 2 × 13 × 29 × 71 × 1567 × 273067 × 1422833 × 5146919 × 5863300327571154959<19> × 128800107442635970641371578276420447<36> × 55254862399409337350554419274517290685049808608735509097294228511<65> (Eric Jeancolas / ECM for P36 x P65 / November 20, 2022 2022 年 11 月 20 日)
7×10145+6 = 7(0)1446<146> = 2 × 19 × 157 × 883 × 11925870073751013581294217807269231<35> × 1114202205514499310229938546790487981149239455358578641542097408475143445487089795717725958687470040679817<106> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2061809427 for P35 x P106 / November 20, 2022 2022 年 11 月 20 日)
7×10146+6 = 7(0)1456<147> = 2 × 1017610057<10> × 8343870702613<13> × 26890231257719218196707<23> × 504931541879985139613549<24> × 3035932072560885031853563759878226626945076567096707539232404016259791505691881<79>
7×10147+6 = 7(0)1466<148> = 2 × 3500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<148>
7×10148+6 = 7(0)1476<149> = 2 × 17 × 5021 × 37038269 × 47304433369<11> × 164193799181860167805784902345525018469<39> × 1425343775501129015913815509895282344050451353845525164553632654608431199670781766374231<88> (Bob Backstrom / GMP-ECM 7.0.4 B1=27380000, sigma=1:469461753 for P39 x P88 / November 30, 2022 2022 年 11 月 30 日)
7×10149+6 = 7(0)1486<150> = 2 × 2663 × 13577 × 151647959 × 983093108377990130982961277<27> × 14464221864673411209168382928689<32> × 4489177358922763415239158212060738966721057382487484110734974440877492664439<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3039139004 for P32 x P76 / November 20, 2022 2022 年 11 月 20 日)
7×10150+6 = 7(0)1496<151> = 2 × 132 × 23 × 167491 × 726109 × 122989167326747896987<21> × 3918824441375452844367288140730399595427<40> × 15361638441426643254023617062084427392853786686708426047669172377651129479499<77> (Eric Jeancolas / ECM for P40 x P77 / November 20, 2022 2022 年 11 月 20 日)
7×10151+6 = 7(0)1506<152> = 2 × 45560407 × 16914700661<11> × 433194900113626335731<21> × 104841396614566004915880659522768065595597293928499286086425533265347938925160392716907906795843873331789228497019<114>
7×10152+6 = 7(0)1516<153> = 2 × 431 × 2917 × 12277 × 610700149 × 2323301401<10> × 21758062385011<14> × 28466294106451819<17> × 40629881775986546167<20> × 50670412555099940623<20> × 242877901100648843892223927<27> × 51604712063483175969882872311<29>
7×10153+6 = 7(0)1526<154> = 2 × 31 × 151434373 × 183639081863<12> × 13419718751785415233<20> × 97393803553422764116435560492590995567735681<44> × 3106290247300798218325170217288265817959481423141207477769464411384319<70> (Eric Jeancolas / cado-nfs-3.0.0 for P44 x P70 / November 29, 2022 2022 年 11 月 29 日)
7×10154+6 = 7(0)1536<155> = 2 × 5807 × 1692312870722898089857<22> × 3561521421769318544897192813926034537712317749383326656976448531526417704402915224393573775929481510609553258989330777782488121197<130>
7×10155+6 = 7(0)1546<156> = 2 × 547 × 16231 × 948391 × 274381806253847<15> × 151493048694422356928835559947944498778408084493540267380940049205264706961887060089187773719151834138487112628553076853049107127<129>
7×10156+6 = 7(0)1556<157> = 2 × 13 × 61 × 38567 × 114440303049693478187727284572587211766974300729694260305455555620586711891730579668581536312676542559645713747984992364052522082809591836888170668813<150>
7×10157+6 = 7(0)1566<158> = 2 × 467 × 8101 × 58171417 × 463492027103605217<18> × 22458563209190656889987575445365881957859<41> × 15278427301293555773574516549584611410964172556038238654497767907857798227813016297559<86> (Bob Backstrom / GMP-ECM 7.0.4 B1=30950000, sigma=1:1973363223 for P41 x P86 / November 30, 2022 2022 年 11 月 30 日)
7×10158+6 = 7(0)1576<159> = 2 × 59 × 1094167423<10> × 92114463034155921700450291784167364459<38> × 58857854583436975209497109717012447608577508484721863744204193373903689457785536958320973422752156995410924981<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4068984597 for P38 x P110 / November 20, 2022 2022 年 11 月 20 日)
7×10159+6 = 7(0)1586<160> = 2 × 83 × 8609 × 12323 × 379997 × 1697581 × 213127181050975027601923<24> × 262517922861188895783241<24> × 11013169462671592039952632478003275680829466838985515401215658118980851689455919090830043113<92>
7×10160+6 = 7(0)1596<161> = 2 × 2251 × 105965441332299786524929928501369371069665377248753166203<57> × 146733169334769571655606871976908688854354017738778414241243332086127701790752594303856187581764439851<102> (Bob Backstrom / Msieve 1.54 snfs for P57 x P102 / November 26, 2022 2022 年 11 月 26 日)
7×10161+6 = 7(0)1606<162> = 2 × 43 × 127 × 7837301 × 537669640188624142289851<24> × 15209461108241809170062518691650598074463069406820241380941667956557440307617506275336335832687751216680122475436382440128633473<128>
7×10162+6 = 7(0)1616<163> = 2 × 13 × 353 × 4241 × 84041973253247<14> × 2139860555527084371240695904113232598998703515274072347087102082983300865097994917261412716382017373870931756964676911003995559428642358107201<142>
7×10163+6 = 7(0)1626<164> = 2 × 19 × 28369013 × 7137438937<10> × 97816673767733<14> × 1192966515102412848336468679914007833959<40> × 6321666467364397724292175936390159554105555503<46> × 12332612568105634975105046545879299994295447897<47> (Eric Jeancolas / cado-nfs-3.0.0 for P40 x P46 x P47 / December 6, 2022 2022 年 12 月 6 日)
7×10164+6 = 7(0)1636<165> = 2 × 172 × 67 × 743 × 5794423 × 17673162760697<14> × 512802375514718720900744229817<30> × 16359801730781514754872065800965837089<38> × 28317443821914435231391918080509584469699834214482510474525581575296689<71> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4083708407 for P30, B1=1000000, sigma=1:2085171378 for P38 x P71 / November 20, 2022 2022 年 11 月 20 日)
7×10165+6 = 7(0)1646<166> = 2 × 94607055331<11> × 36995126713907467658692348102082162669695237382993017024251641328151549801247243303231058895454673074904437224122781105651787322089863133233090311286479713<155>
7×10166+6 = 7(0)1656<167> = 2 × 1154551 × 212912814744116735943589<24> × 267619469128570286879498960600522099865749367893515336761019772112349<69> × 532029135588589110456456924977799819899199669405344829046288188103973<69> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P69 x P69 / December 2, 2022 2022 年 12 月 2 日)
7×10167+6 = 7(0)1666<168> = 2 × 197 × 621913 × 61945614657756127271<20> × 16674493238008081340311<23> × 2765724854556993465295123199190122033735569505569831501531332215977728744350915640212568862404009116900025232826841983<118>
7×10168+6 = 7(0)1676<169> = 2 × 13 × 31 × 653197 × 506080199426073893659228753559267<33> × 26272383266500647278815984970366290563335864718900174209825448416488167979742975671315137363340436371593024461472348358781220199<128> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1978207206 for P33 x P128 / November 20, 2022 2022 年 11 月 20 日)
7×10169+6 = 7(0)1686<170> = 2 × 149812733839<12> × 2489313919337041803989<22> × 93851160580737078593853443618134422647559562722932171290238497891655850867274762574267870094087275795184308414686438916688880106767018393<137>
7×10170+6 = 7(0)1696<171> = 2 × 227 × 1656583 × 2648620400020563077<19> × 27883782191102323397<20> × 12602525518171292877714453826335227389760766848762798133729554184491475440307432566149744569516935029290326637732599243260207<125>
7×10171+6 = 7(0)1706<172> = 2 × 47 × 421 × 528799 × 1090957703432057282439509<25> × 59048250781394938218407027<26> × 573568869464093489479330822429<30> × 332808700811455796922165826730703349<36> × 27202089904120353247688759521330122985748379577<47> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3435423494 for P30, Dario Alpern's calculator for P36 x P47 / November 20, 2022 2022 年 11 月 20 日)
7×10172+6 = 7(0)1716<173> = 2 × 23 × 29 × 3179786424866900857<19> × 805521160328907376315188029903<30> × 20767863745364122451641068566511315922067248497727<50> × 986450915675567082803904374271491039092040239824883535024826705522128977<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3183198517 for P30 / November 20, 2022 2022 年 11 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P50 x P72 / December 1, 2022 2022 年 12 月 1 日)
7×10173+6 = 7(0)1726<174> = 2 × 18099465829<11> × 208292401224944794432989762607307117<36> × 92838659287610714537621950756779490105647900111037295387687090992217956390226796270448771532723450892295865113579253153259693571<128> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4060848859 for P36 x P128 / November 20, 2022 2022 年 11 月 20 日)
7×10174+6 = 7(0)1736<175> = 2 × 13 × 4153 × 8563 × 277961 × 65344013101<11> × 261751968624636361<18> × 1396311975746780622334572332504919539328142395370705616073397279<64> × 1140446006582117337006613413273817010789325109843620422732348001616831<70> (Eric Jeancolas / cado-nfs-3.0.0 for P64 x P70 / December 10, 2022 2022 年 12 月 10 日)
7×10175+6 = 7(0)1746<176> = 2 × 516602833 × 96607261427<11> × 1515348739238278079<19> × 2056367517696346616723382909608508932768276113780787669<55> × 225054739139288694505565059120350510707666800751828117605050396317239713774883331683<84> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P84 / December 11, 2022 2022 年 12 月 11 日)
7×10176+6 = 7(0)1756<177> = 2 × 4349 × 164510977 × 3155013707497<13> × 96973228761976839955076494634793406828629779<44> × 1752548866693157234824752612610222819639832793581287<52> × 912347975059046961933453593501922392347256203882618771931<57> (Bob Backstrom / Msieve 1.54 snfs for P44 x P52 x P57 / December 3, 2022 2022 年 12 月 3 日)
7×10177+6 = 7(0)1766<178> = 2 × 1415957 × 31953138116212987257811<23> × 26434785318811876328257163743<29> × 2926366221012284070552284893885378429993250076595788396607353978819911035770823118072292688669820621901695348424527704723<121>
7×10178+6 = 7(0)1776<179> = 2 × 5616055874886294595234839238923829<34> × 19054551433617333129681835293145732822339102115527987125599981037503<68> × 327067879240382343062359806215052615281514449906415739249302342878255447697769<78> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1114098909 for P34 / November 20, 2022 2022 年 11 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P68 x P78 / December 14, 2022 2022 年 12 月 14 日)
7×10179+6 = 7(0)1786<180> = 2 × 71 × 97 × 163 × 233 × 244766551836755062493568825431498604565963243958455957527597033804101<69> × 5466915562568200136262243582781004017979076250553978045811368966886477250621578370765113509616240216211<103> (Bob Backstrom / Msieve 1.54 snfs for P69 x P103 / December 5, 2022 2022 年 12 月 5 日)
7×10180+6 = 7(0)1796<181> = 2 × 13 × 17 × 244723471 × 1201937100384959<16> × 53841655642793310395731398161493811683382821016669373330742392071424185177421839420742186897555254023495510533691638913022982489557593515783843914058329487<155>
7×10181+6 = 7(0)1806<182> = 2 × 19 × 48197 × 130703431 × 1014507398119<13> × 37723659827757347641<20> × 217508582235908530198505069957818376630479770572787940049<57> × 35128694702568173470017960414227545143170068755598531805816690651642366054723621<80> (Eric Jeancolas / cado-nfs-3.0.0 for P57 x P80 / December 15, 2022 2022 年 12 月 15 日)
7×10182+6 = 7(0)1816<183> = 2 × 43 × 75018127993<11> × 73379101633180656023<20> × 1478634978976003087232455536257930987061380554421394022331905790926885203916760802660733705609346163835335187878435260912117267320645718600734885558039<151>
7×10183+6 = 7(0)1826<184> = 2 × 31 × 202611133717<12> × 35306851938882813820077559<26> × 693274614743182931221139300502101<33> × 22765581573444336675795767851831922292904844006053317090920437165133289269561049513669518145310588079908175227171<113> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1292940281 for P33 x P113 / November 20, 2022 2022 年 11 月 20 日)
7×10184+6 = 7(0)1836<185> = 2 × 229 × 28616420176103449<17> × 14489993297210683791734834267<29> × 368594689177559556019314064702241670473793689548132851591673715583179269123631012131167619840609860016474226135211951942922970127616430029<138>
7×10185+6 = 7(0)1846<186> = 2 × 2503 × 797760701 × 39937526302537<14> × 4388876848734382862617157942645986952806177097767697136327271825258024830281281376300998824036190436391071550049572865987106366569701741575471650661847200431873<160>
7×10186+6 = 7(0)1856<187> = 2 × 13 × 89 × 1057603 × 27877987718020476770108381721824889411839323773202915941239314836560819640631599283691563<89> × 102600762634888659776868131021273107218713912499304915791534470426350179561790361385033511<90> (Bob Backstrom / Msieve 1.54 snfs for P89 x P90 / January 17, 2023 2023 年 1 月 17 日)
7×10187+6 = 7(0)1866<188> = 2 × 9787 × 44879 × 24551746480193<14> × 92517588246269782733<20> × 16706204822970798667215370281740869541<38> × 8956956009599960157900102424745970615146996591<46> × 234439263175563973275417322549346422549530672955114028846574649<63> (Bob Backstrom / GMP-ECM 7.0.4 B1=27400000, sigma=1:2836205167, Msieve 1.54 gnfs for P38 x P46 x P63 / December 7, 2022 2022 年 12 月 7 日)
7×10188+6 = 7(0)1876<189> = 2 × 12757 × 2392733846989598569<19> × 63260898155938375224402837072457<32> × 181254894231460702725362273678027973353912418134806092450311667286343126901740345842543361121605977273586530623424689049403070281868263<135> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1521392234 for P32 x P135 / November 20, 2022 2022 年 11 月 20 日)
7×10189+6 = 7(0)1886<190> = 2 × 1129 × 305783191687349149<18> × 5155583715958733284829612089<28> × 5414305173642162367153730821850644665702863899510942021400396610460441<70> × 363195048346769436268752265348772058360821010056492521342792442164805207<72> (Eric Jeancolas / cado-nfs-3.0.0 for P70 x P72 / June 22, 2023 2023 年 6 月 22 日)
7×10190+6 = 7(0)1896<191> = 2 × 6257 × 1357097966503291141048811<25> × 4121835825304539285272369182224424912699441047384729186616848409767780993189866790100633648707907584915074382308454045162114637764415326761144592289432168386336089<163>
7×10191+6 = 7(0)1906<192> = 2 × 179 × 5669 × 304163 × 4055556013826477199975396708935052074895907<43> × 3016329922240293366372605199968472211725646980190021019705141688679<67> × 92698547003304761796303768121981377208400000102327414595189566611157827<71> (Bob Backstrom / Msieve 1.54 snfs for P43 x P67 x P71 / December 10, 2022 2022 年 12 月 10 日)
7×10192+6 = 7(0)1916<193> = 2 × 13 × 907 × 1432021 × 1801740047<10> × 1144847027129416459<19> × 2378293108698102732649178065953689907764471<43> × 15266017825701653807384172826107203753306671303027666459<56> × 2767816431282963223471413908379707524488740138980490836409<58> (Bob Backstrom / GMP-ECM 7.0.4 B1=24260000, sigma=1:1166719776, Msieve 1.54 gnfs for P43 x P56 x P58 / December 15, 2022 2022 年 12 月 15 日)
7×10193+6 = 7(0)1926<194> = 2 × 359 × 1019 × 5153 × 6848723151414104309<19> × 2711000878999120280389995161588274144181810310006811989668961560106878694948251680618611374435303676174982084120977547067145917279083639302334968617997540610549544259<166>
7×10194+6 = 7(0)1936<195> = 2 × 23 × 353 × 1427 × 241462994359533530431764688003<30> × 2767880758133839813499615010697<31> × 45200534594776959252746495576607625562446116839853130336297452041000629183717513385112643344487430845917828709952069938625441941<128> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:794446911 for P30, B1=1000000, sigma=1:482388310 for P31 x P128 / November 20, 2022 2022 年 11 月 20 日)
7×10195+6 = 7(0)1946<196> = 2 × 109 × 40939 × 30196511234582382183866501<26> × 6292903213190297081973998907985492252519165566580883355472993<61> × 4127589458121731495217371727605301386777583789653589918254197328378554647919675021583679583149344571721<103> (Bob Backstrom / Msieve 1.54 snfs for P61 x P103 / December 15, 2022 2022 年 12 月 15 日)
7×10196+6 = 7(0)1956<197> = 2 × 17 × 8810849 × 92671681 × 6276292166051<13> × 177860687724315191368830759022613233<36> × 458733762700539034610004603041894085811009<42> × 4923914453701674139080186462357566063038366782289997506902107615019579482782401872190904513<91> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2738501725 for P36 / November 20, 2022 2022 年 11 月 20 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2862574035 for P42 x P91 / November 26, 2022 2022 年 11 月 26 日)
7×10197+6 = 7(0)1966<198> = 2 × 67 × 3924642964283973778260005483038147643<37> × 49750403429886460559306590060467458203<38> × 37189683506889858583513205215574217949232340493<47> × 719405905408397416343908211645496079198285554508852496336723405340780794797<75> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4285802959 for P37 / November 20, 2022 2022 年 11 月 20 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:2513864622 for P38 / December 8, 2022 2022 年 12 月 8 日) (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P75 / December 11, 2022 2022 年 12 月 11 日)
7×10198+6 = 7(0)1976<199> = 2 × 13 × 31 × 56737 × 16973697271<11> × 9018206539461401665595274211792883487977589820423918996096256281469792261003555970700197851210519976297535457741504640594306359493326883604802225141477169678916315689739898464650263<181>
7×10199+6 = 7(0)1986<200> = 2 × 19 × 617 × 8056879 × 16871527 × 53079721 × 7026081189040190003<19> × 58893348994513562099557486943782263701797371900347536760548191852028208469026384172975728074141009497166670168734234343468279287240818755148120399496667459<155>
7×10200+6 = 7(0)1996<201> = 2 × 29 × 83 × 607 × 1693 × 30643 × 96125643873607679<17> × 48036987257206111973084402227325505218612495413859904450025438340953102998247788649972450285198888996266956361815921711671978232333071327092557899247451396211919789016307<170>
7×10201+6 = 7(0)2006<202> = 2 × 191 × 983 × 105048171277756673<18> × 4312417426345312422235637569<28> × 41150192435878826970254951446340677581628450969740903097996872570417421435851428771592499584273330881868302966418231346120089524434506164131675923826123<152>
7×10202+6 = 7(0)2016<203> = 2 × 14292059 × 8567348189<10> × 19563171386527<14> × 14611256563390284176535821916831798679228660339735401130789137510674599293989085457937043693219574431269382919894885565588189726072011090577869159730158144405971606417243539<173>
7×10203+6 = 7(0)2026<204> = 2 × 43 × 127 × 196003666495340700245425189370515747380626463998913002604889369512319478054131547<81> × 326987892635130125995373513151247916193169955300096208181219344243509198209789000376781621407516977231847543207153039509<120> (Bob Backstrom / Msieve 1.44 snfs for P81 x P120 / July 21, 2023 2023 年 7 月 21 日)
7×10204+6 = 7(0)2036<205> = 2 × 13 × 557 × 344639 × 1221540791<10> × 22528106362592161<17> × 436613414886096739<18> × 56489379046644736282695777539534716547<38> × 2066372138369070159680217698898146270131625844407383125625952148603816519785675306341443773632328633411508060393659<115> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:2604425939 for P38 x P115 / December 23, 2022 2022 年 12 月 23 日)
7×10205+6 = 7(0)2046<206> = 2 × 35000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<206>
7×10206+6 = 7(0)2056<207> = 2 × 99377 × 205043 × 1516851085708241<16> × 36270400205393335997<20> × 11966367829008682953667961<26> × 26090329996822264634161066697570766429916032729199276416379271254150797639161671029496441149128800108647240399116573587527722329291593709<137>
7×10207+6 = 7(0)2066<208> = 2 × 45827 × 518224692313<12> × 1779168640783<13> × 31606790095392190885897<23> × 14307773206971039670211943969959741727406933079864149700984029800046121483<74> × 183171945999574022055150719854689948583656465401551469352677735910026584289311961741<84> (Bob Backstrom / Msieve 1.44 snfs for P74 x P84 / July 16, 2024 2024 年 7 月 16 日)
7×10208+6 = 7(0)2076<209> = 2 × 199 × 758791513060633294711741372109852133207929978093<48> × [231788829945532749624468583621937170728570687854621762674114178969735533091956848537764446663867373471922070126246080829627216139145939953121935698097158067929<159>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P48 / February 10, 2024 2024 年 2 月 10 日) Free to factor
7×10209+6 = 7(0)2086<210> = 2 × 134053 × 2309323 × [1130594388956498939244611726784369008334793807196235669001087668591717568624028799500832152549385602856713264879087715632577968275505998731016936287830752906955675118263321547952806689568124455744437<199>] Free to factor
7×10210+6 = 7(0)2096<211> = 2 × 13 × 8443 × 1321742743<10> × 68406847631891<14> × 604451204951056171<18> × 583472165723152486282141193827444319487436906020773820890792371930446444182793999615331899156291766501395523035049087249257155445603231339724015590791460379531349179<165>
7×10211+6 = 7(0)2106<212> = 2 × 74998477721<11> × 122606118317<12> × 3111210161819<13> × 1249372844267993<16> × 2582164215925757999<19> × 10124727081337652711<20> × 3991033162458980506623034033110701053<37> × 965193947384558586254102948932133110925117<42> × 9723327912435667926842476898195264287354834333<46> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2652080754 for P37 / November 26, 2022 2022 年 11 月 26 日) (Dmitry Domanov / for P42 x P46 / November 30, 2022 2022 年 11 月 30 日)
7×10212+6 = 7(0)2116<213> = 2 × 17 × 739 × 32048207 × 9569685200585173<16> × 90839198950870493268834158636428979852894092495790807273069781668712059891960884915250429984983057552478004718735028968358859243206197617421442850483268415399773247119763344360430550371<185>
7×10213+6 = 7(0)2126<214> = 2 × 31 × 687551 × 421560324102995557717<21> × [389530710229841971441134420225186986653736240879189561970131087478468479833265892844338265095445525672297028085516492346195616173710733313827306517210052303686907071358426085102201270039<186>] Free to factor
7×10214+6 = 7(0)2136<215> = 2 × 71 × 444253 × 5299681 × 87645713091992229221510702079843528577<38> × 2388905214132947827147947170489432033617330219555925200199118035766712817143324173523930859488976302966231518054513424969434558082941398020649850163313734198640713<163> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1218724903 for P38 x P163 / November 20, 2022 2022 年 11 月 20 日)
7×10215+6 = 7(0)2146<216> = 2 × 1481584851889<13> × [236233516800441693747047724274331536830838764939143089260097863708362795053487945792616109970176981943582698694963222771354925899053668763343266979305686526216543151056755195393493282481722993719883991027<204>] Free to factor
7×10216+6 = 7(0)2156<217> = 2 × 13 × 23 × 59 × 61 × 190909 × 721709 × 23606221913227551955497729240336020832818452132099223446256138219193780068269201008386861164603687108382927647415086996195494548454629159861832839755926023582279657993106585516035785621476321039570463<200>
7×10217+6 = 7(0)2166<218> = 2 × 19 × 47 × 167 × 11959 × 1441715689<10> × 225106316683679<15> × 2887805639744043401<19> × 9124506893476274551<19> × 2472696811466382235849<22> × 100366987411792348040756156471788443742236279500210188349<57> × 9246956629345584147578979240359564538738771713373934882978917905719147<70> (Ignacio Santos / GNFS, Msieve for P57 x P70 / November 28, 2022 2022 年 11 月 28 日)
7×10218+6 = 7(0)2176<219> = 2 × 8867 × 21881 × 257238488235691<15> × 7012747808486947816580313925716875558321178517325114826650150569095746671459981170483982694341845026500080104201680794676631173959740918676224726331803625090983798970916859166334291184187588654779<196>
7×10219+6 = 7(0)2186<220> = 2 × 14029 × 170584427971<12> × [1462520444047805822376272533715780817893815736798739229075494488114459693064351769714289197146244858010836024062089231578079399956731411377952423511581094935529780995096570876722712981293430651392108939717<205>] Free to factor
7×10220+6 = 7(0)2196<221> = 2 × 2120086687<10> × 97472990045044090030871<23> × [169367523351090143842333133368899913930780610110858974447617866069096592701641276835429347579337783928294499107211216766061889657020771382231425638492444646220036862049010482044031801800939<189>] Free to factor
7×10221+6 = 7(0)2206<222> = 2 × 174704948773<12> × 1789455841417<13> × 66804201959399<14> × 12361314907878592540637<23> × 68704364760570575403371<23> × 1503242627561558789445257<25> × 975503662501932911202689899547<30> × 39584192594772285277912074583969<32> × 339945498313657317062708869088293414051425190782183421<54> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:390993775 for P30, B1=1000000, sigma=1:3103984198 for P32 x P54 / November 20, 2022 2022 年 11 月 20 日)
7×10222+6 = 7(0)2216<223> = 2 × 13 × 241882147475700947<18> × 5160733070633008245409726403<28> × [215679803792687605442361810440037057330687692406397060002303829957746057811941322150133846136995072298939402998401674347323278422032985585578530813454111361010985036949304721991<177>] Free to factor
7×10223+6 = 7(0)2226<224> = 2 × 157 × 3919 × 37277 × 9229401347<10> × 322705573819<12> × 9265834265272313341<19> × 5881277048413064776272280123187035589<37> × 9401908279846488041750263857790674239100649603083880104208561181236387507578421041630077593339125886044666298140854165686385780427136069<136> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1892879469 for P37 x P136 / December 23, 2022 2022 年 12 月 23 日)
7×10224+6 = 7(0)2236<225> = 2 × 43 × 216401 × 26248313167<11> × [1432976032163679545047758434589088003152853856997018232756518884556153881453028528526156599091139527209814611041608137935580081841555333534635646666287876285403189885269180386179596916429600148921446818969463<208>] Free to factor
7×10225+6 = 7(0)2246<226> = 2 × [3500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<226>] Free to factor
7×10226+6 = 7(0)2256<227> = 2 × 353 × 8093 × 5201487127282831432577<22> × 532056483170656655984978438559247<33> × [4426887964940036242340153560894371604828329671171656845125983848511392208940611014223939910410360698329458498694784568992356164278506026640471219450287900537642036753<166>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2982417922 for P33 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10227+6 = 7(0)2266<228> = 2 × 113 × 461 × 75277 × 565973 × 43376810679569<14> × 1081637587404387680230223659<28> × [3361176135437745683196426581091906160430845842341980436346379577014647858139072544647488976931520416105237381866653979063359304806239300588421628063909643521556770002298781<172>] Free to factor
7×10228+6 = 7(0)2276<229> = 2 × 132 × 17 × 29 × 31 × 7109 × 192737 × 171410797 × 352626851 × 690684331 × 224951559475372693<18> × 210382856894951925282726355681367<33> × 993568299909526592062555628234528696844239840000171171441<57> × 503812429289428854707028453558914345840533525207278357108139047730663890581941939<81> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3319626793 for P33 / November 20, 2022 2022 年 11 月 20 日) (Ignacio Santos / GMP-ECM B1=43000000, sigma=1:686285775 for P57 x P81 / January 14, 2023 2023 年 1 月 14 日)
7×10229+6 = 7(0)2286<230> = 2 × 3917478283582349<16> × 8934318831244203316734447725514809472013141015485910057506449172042845203721585286566842859496991786543819962281075646944582660773226099357389227488749741911754734939377210036415821813632574152205679011044864810447<214>
7×10230+6 = 7(0)2296<231> = 2 × 67 × 89 × 426653299 × 906867649 × 7425743913190269496004885704583<31> × 33167903359991366949848236148759<32> × 21148160852997352785571376762132689992844496417006808121<56> × 29124174548832241524299799606635150151186839331051491654978160375044484371049956879886870763<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3076444228 for P31, B1=1000000, sigma=1:1464924222 for P32 / November 20, 2022 2022 年 11 月 20 日) (ebina / Msieve 1.53 gnfs for P56 x P92 / March 9, 2023 2023 年 3 月 9 日)
7×10231+6 = 7(0)2306<232> = 2 × 42013 × 6512711 × 399103141093<12> × 32506074171143<14> × 2327508241788703<16> × 519379470116994927483713416717<30> × 815636906995089721397707317958358963974817065701285370719603812938780402373560229559253218161921687948686536023691286770495999643503165142951847730929<150> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3063242317 for P30 x P150 / November 20, 2022 2022 年 11 月 20 日)
7×10232+6 = 7(0)2316<233> = 2 × 1110859 × 2739637 × [11500483083014928580533990966058473669071682733368327504832733351909267320067315390043816270000749424902361951814800106537679546471340535257331869316111158355327998913654831120666948417412887101722323472638245105466261541<221>] Free to factor
7×10233+6 = 7(0)2326<234> = 2 × 4850502221<10> × 644254087387<12> × 1624455868893963352592579961828418566173204363<46> × 68947136924279713484599652784895202841525923540227081474901541209901727307414970185310746680307497293046802376410118891530208884121682317675293252561614108333441618103<167> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P46 x P167 / February 11, 2024 2024 年 2 月 11 日)
7×10234+6 = 7(0)2336<235> = 2 × 13 × 3434467 × 81222799676455930320389817286237<32> × 18456100857949994081902841811892997<35> × 52293466783744316559083814708773501518896960127390266615818880114675363391098891346197762435707022128859398591782743413022947012354315157705181653299144708761237<161> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2427733842 for P32 / November 20, 2022 2022 年 11 月 20 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1274569106 for P35 x P161 / December 26, 2022 2022 年 12 月 26 日)
7×10235+6 = 7(0)2346<236> = 2 × 19 × 37809936641501<14> × 579894434192388966187005541071202844774527<42> × [84015526507007425481536140834477348622399079124407108615551738683123083108323301738054520245069263545154363314055854792664992295272002262026953634750488190027598220116710278340731<179>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3693656852 for P42 / January 1, 2023 2023 年 1 月 1 日) Free to factor
7×10236+6 = 7(0)2356<237> = 2 × 131 × 2566065646623799097164159<25> × 28436447416818965899137158114261<32> × [36614545483304274774708349670759583984216353249310571726921396178544481744839330363937276019817190422451649366322803188052388512884214414212903356044718256684138478871537708781187<179>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4056750097 for P32 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10237+6 = 7(0)2366<238> = 2 × 174527 × 13651115583139<14> × 892181634130084667402482801175093<33> × [1646584406045642382739248530330712995938603069086118216263365156331163650913883705705595077124212122884197368877154011131241146238822801442879944015486839444182710477547187912405734360707<187>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2053561810 for P33 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10238+6 = 7(0)2376<239> = 2 × 23 × 10169 × 13968221 × 3843732758101<13> × 15843992617938253<17> × 440666379681348131<18> × [399202386910048240030293406493139437661491505591836065228745468614763984374297049181598381405798788897155624139382695936307281030709452243140278739361428781372460805794941475872923<180>] Free to factor
7×10239+6 = 7(0)2386<240> = 2 × 2767 × 8741 × 164059787 × 42762435234264349<17> × 288750960927666795981044475822391<33> × [7143478697952663987580591119567889215482009319661977534596671116900975831477561037443261987291323300451528300612111089498487530182666853562844257932414410209802346796956517953<175>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1489019325 for P33 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10240+6 = 7(0)2396<241> = 2 × 13 × 41213 × 1999227103<10> × [3267595822687226393399693220614841405956714407918382978673721981449143569816350780284596470205645840092654816402298175392218500864945769858629442259757119637259577272903999882856895962498519103211844605826799493952078896533029<226>] Free to factor
7×10241+6 = 7(0)2406<242> = 2 × 83 × 1109 × 298343 × 27846258947180616193<20> × 1543689703932849888018287<25> × 4646638076420803788876419500389977<34> × 61960409299136848804704354983576309<35> × 102982294420018863376789174333806959220200781530377195358335607849360371306576634231022839372017718885875511596949410361<120> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3525359207 for P34 / November 20, 2022 2022 年 11 月 20 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:611017708 for P35 x P120 / November 27, 2022 2022 年 11 月 27 日)
7×10242+6 = 7(0)2416<243> = 2 × 10847 × 51505543 × [626475994311582943386689045333455826540150753029375073619781661152045054777067952423423254102378146860002302034261850159394172945575371729958335975346752971883342982905097336514046266746067406710120518552257868197287800319879960443<231>] Free to factor
7×10243+6 = 7(0)2426<244> = 2 × 31 × 383 × 119291 × 29190643012510468169974180403<29> × 50658481202092125958702531466225794251647<41> × [1671106277179877026283307680449139341122910553647125198743598715135916915422254551998926063167122625832309371114408316350136331135974858118697419275597091201367098781<166>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P41 / February 10, 2024 2024 年 2 月 10 日) Free to factor
7×10244+6 = 7(0)2436<245> = 2 × 17 × 7300808265213986551044477736530683591403067<43> × [281999397138177087505273974059948603149633074687844608763261872617134240048284460384124737840036511038198479906685178281889391662650856744797617657417149930163390467165813834070163600375440577265992777<201>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:375790728 for P43 / January 8, 2023 2023 年 1 月 8 日) Free to factor
7×10245+6 = 7(0)2446<246> = 2 × 43 × 127 × 7523 × 2480721944339<13> × 871649968578128074354079<24> × [3939894554660152312574473592556171369112351814045642447240695737390856483698142156967740601541642178168445240337993586111848167193853850953674776494735049561306479050640059012004294529045198071813075921<202>] Free to factor
7×10246+6 = 7(0)2456<247> = 2 × 13 × 547 × 1039 × 717845565976728439216541<24> × 640068254607119931125742655321<30> × [1031013870312756174542788117955730677684919294729070778955511655043046855920592904151179028669765041113511231303113841005953147560790087501190629187337168617176599013870870190861795793887<187>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1875191173 for P30 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10247+6 = 7(0)2466<248> = 2 × 577 × 360337 × 427690378226341753<18> × 15577961736499098532857713563636571<35> × [25266393752542337800469696215053235414622021140104963973480136039714514004615504867818361261603748549297246264135298586202507404902959406536719663964317233262021591677232565210898694033969<188>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1475446532 for P35 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10248+6 = 7(0)2476<249> = 2 × 1709 × 153150157 × [1337237464013677730018307661586941047532103621944551144100088403227866317844113714558411855764042848885597066475457952799864099894277000110437853518048842502344166949032415640824763689400606402871832062097260140894692312318707588584377131<238>] Free to factor
7×10249+6 = 7(0)2486<250> = 2 × 71 × 4327 × 5440022201291134004837<22> × 1281485106912708492445144096181<31> × 1634212639109662161333197195036952200261316767145190658956136319639740580306811939934615596552406631632795686971303972536355896610487500638539384611351289650031083226802020693560577896947369947<193> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2571844276 for P31 x P193 / November 20, 2022 2022 年 11 月 20 日)
7×10250+6 = 7(0)2496<251> = 2 × 193 × 11397913 × 34039193462077<14> × 9442030022881693<16> × 49504053279263100302501565289257057887665778518518065913147236393940744581168228587200292134645671898646644641460816925041790728483129699681932582452270083558987694340033233932656426370976263364434691938455078147<212>
7×10251+6 = 7(0)2506<252> = 2 × 64978429671923<14> × 952562865950350453343<21> × 5654642923229632095562370906374521486953824127516973030938200103458794730934645090702206610102422371637648359122827860529476086332266777501300820873062127773619391632698569702703777019506388780301413123061443510802927<217>
7×10252+6 = 7(0)2516<253> = 2 × 13 × 4639 × 58036380519674332996169598885701494022252806473543701394531314772746115707960933224998756363274578407150082080023877825128094582718424063541545757540584011806257980002321455220786973319846783955428059760890112258941748055781252590909844628318437329<248>
7×10253+6 = 7(0)2526<254> = 2 × 19 × 305133281 × 8889899957<10> × [679091025137632735105244567787380532063277930567906235843437967485214989439895154568194626358915906464712456124485822662829744672861105478342173954050250680606254271876665924339074628733691441588450521133272630692008030233675501072461<234>] Free to factor
7×10254+6 = 7(0)2536<255> = 2 × [350000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<255>] Free to factor
7×10255+6 = 7(0)2546<256> = 2 × 481583740733<12> × 16949519981412527657<20> × 219300841672912808725162389382192061<36> × [1955233036936172828035088681409479819889355787189905076930599057035577649082716353762051579032874091517323055997074322192847117382807746019437784917984141932695083540057678766213902237890483<190>] (Dmitry Domanov / for P36 / January 1, 2023 2023 年 1 月 1 日) Free to factor
7×10256+6 = 7(0)2556<257> = 2 × 29 × 3830065613867<13> × 3577272990019622215417<22> × 10392960691711726706535070567<29> × [8475639265310372255973514804197961877028113326210140497198900698189346237010153867507694218493496513129138995116711683460144096452265509537659207842632539993386609521629613751483052476147385139<193>] Free to factor
7×10257+6 = 7(0)2566<258> = 2 × 284897 × 5298444494671<13> × 524128902370938019835021008806689256669165097<45> × [442378152143169840810987700769065567779722574193839301216720043431608597385700282064182573413735554056543123509748410984687921829613932454714402939034984023238038688003467691513204103392816367077<195>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1943759783 for P45 / January 8, 2023 2023 年 1 月 8 日) Free to factor
7×10258+6 = 7(0)2576<259> = 2 × 13 × 31 × 353 × 35885417459<11> × [685599180858478983393538180155305455725265586075081113950591016379669779128486044356033611249201876780074892979763026964030025205552362500386683223217258898059524619684806639905579911561489151082093091542253528177756203391697128527926926007563<243>] Free to factor
7×10259+6 = 7(0)2586<260> = 2 × 1301 × 4817 × 117193 × 17733109 × 5778682307<10> × 3609322010719<13> × 1652742292780062703<19> × 180745890813006845162609<24> × 1881492134257287067354061<25> × 229243545607626794939383355405611275357743342005854090234752341395691842341445946801221669736441490975604139963029376789170865887303963595249004687079157<153>
7×10260+6 = 7(0)2596<261> = 2 × 17 × 23 × 163 × 183343 × 13916827 × [2152281737609739715626620789351116154457749957231414085881132199874849536472664360822208493551619701169289639579060161981309728374734030342056825955341496575151160171679880882288594021890446923019636307612850503067013094702228750219383855424731<244>] Free to factor
7×10261+6 = 7(0)2606<262> = 2 × 541 × 14462963497<11> × 84856703450983<14> × 5271416517347133344176837360086951123841922965796111792978176449495673860326327997377270558071275739824047056804069058508619093850990125522266367780769741050310983313004285561239894421602170192350384622345896985084517732576474163032033<235>
7×10262+6 = 7(0)2616<263> = 2 × 295384321711269275227<21> × 2991773136406324963165715756551928642683<40> × [39605175838602910547143845784822683884030839583299761271798487932931063470855812390638214463306685080339780359546973110240277346392759290223100416346409314219159615033412179725289743605180518973977910683<203>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:545397529 for P40 / January 7, 2023 2023 年 1 月 7 日) Free to factor
7×10263+6 = 7(0)2626<264> = 2 × 47 × 67 × 11423 × 94201 × [103290336864268354570230139611437030897946270914951754266854789217942510177932776601257371565374181029757648194612219446498220011006671434708023806317792007391696970633107440713090209569970024416372692355895641989285006584341477031078472081117881008089<252>] Free to factor
7×10264+6 = 7(0)2636<265> = 2 × 13 × 55187789141<11> × 4878448175245941417576142239590956886982840500571398506083720438102070894647342604819590135956861037880169912734261043421007927077286091545937668589215595495043872919597905056604571642642263294089778533510564403010259903804491684433986687264769890761491<253>
7×10265+6 = 7(0)2646<266> = 2 × 197 × 1699 × 75377 × 15850955869299062057832588090157037<35> × 84733645620330785780579027765768985457<38> × [1032899915281230000012169391453760174426864269121172206564619129620312052071897576916267881367489086709475065921778496893676054061616378529979227248855189996471685313139753897593196257<184>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2349176723 for P35 / November 20, 2022 2022 年 11 月 20 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P38 / February 11, 2024 2024 年 2 月 11 日) Free to factor
7×10266+6 = 7(0)2656<267> = 2 × 43 × 1279 × 3209 × 1350607 × 1380817 × 22653183610297<14> × [46942364419151629410965674099335593581654170765460211222976528583266675869376344122137486918255890252235907879667416235089393731394837195854499632348500507380578828773256539514336421505079601098078055753291609892518215259267985411977<233>] Free to factor
7×10267+6 = 7(0)2666<268> = 2 × 12763 × 14333083843490827123<20> × [19132672330439525126668579396244159437993224757946758579604151632139415492595316083045668576717233378005438851259359168889598909970838871897026402360620804559550004494947301186141874437175634390081445407460359835502808830694289668650013662494947<245>] Free to factor
7×10268+6 = 7(0)2676<269> = 2 × 149 × 1607 × 8117 × 21560977 × 3465101057071<13> × 23599391909533447533918619408433027<35> × 69586124955161591568535984268528005260593<41> × [146778534347520610668704036023564708788642910379219527659316951048294394959242519704361679870740538665617278662780000940754436306433094375133651257670306861621721249<165>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2252443015 for P35 / January 8, 2023 2023 年 1 月 8 日) (Dmitry Domanov / for P41 / February 10, 2024 2024 年 2 月 10 日) Free to factor
7×10269+6 = 7(0)2686<270> = 2 × 660349 × 411855053 × 42877529603<11> × [30013757255527961547508952620444059654909962976550890656981570759058972426949599405183693021936246366858101456231641128293930283527406306230233605452961259615641791760781469393388951306665413801243488243710167175247718687420017958684588917096233<245>] Free to factor
7×10270+6 = 7(0)2696<271> = 2 × 13 × 571 × 89896217 × 20144772674995560596749<23> × 9715123653265278832629829311210103217<37> × 79583063513883696266608999299124070034541937<44> × 1024062634791512617368053588878195992564416429<46> × 328843521807037089536495597486003899689912747481479116657310119247650887759273606572448030324090889139344248637<111> (Dmitry Domanov / for P37 / February 16, 2024 2024 年 2 月 16 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P44 x P46 x P111 / February 19, 2024 2024 年 2 月 19 日)
7×10271+6 = 7(0)2706<272> = 2 × 19 × 49157274937181<14> × 1804791707369322803<19> × [20763451944666932962165048668308857470396801384136230638974062473688106905879906794998456946846478614632241541723647315107384528099913170515638214016564721266922014748993461778163740127172069464671274408889189058160934830489386657323027559<239>] Free to factor
7×10272+6 = 7(0)2716<273> = 2 × 24333122114531<14> × 143755521829547093<18> × 4120962273963309256476692611<28> × 920200659876213848599089429603386076480761<42> × 26385449317989092896458688542861251829548340903089374276092967251521314517404041057608958567300434237267364556468858994734886501631271860938586412614721328179795508417517271<173> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:3822857039 for P42 x P173 / December 30, 2022 2022 年 12 月 30 日)
7×10273+6 = 7(0)2726<274> = 2 × 31 × 1489836131778295793<19> × 10716465287164894506109988233641082937<38> × [7071577190668877233144765414490709112348006832889457503211144576028087519494467919719265879674672760074725078235657636472289874186704748307166926465705457883110446324963593711687941687325125850528504279517932255783893<217>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:71906148 for P38 / January 4, 2023 2023 年 1 月 4 日) Free to factor
7×10274+6 = 7(0)2736<275> = 2 × 59 × 89 × 83383 × 199396501 × 4945969471719907<16> × 81054950560823712201313351966988289705085081212450616165797083966803385022703388961843325888439710393719367635878828798432471819410364717116362431599942107736450709637497443588778909234590180822673266361250729976914049400585314380909156508313<242>
7×10275+6 = 7(0)2746<276> = 2 × 97 × 43901385565349877926063<23> × 2621469436174385797326437052911<31> × 2297730012955397502003988939629260503249<40> × [13645023477896685378674214181462156043559598796655237116501096736040400783856881838163301250071973521054177653502147831292211609401459904836958612618599256251293337694122859407181907<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3142067223 for P31 / November 20, 2022 2022 年 11 月 20 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:241005570 for P40 / January 1, 2023 2023 年 1 月 1 日) Free to factor
7×10276+6 = 7(0)2756<277> = 2 × 13 × 17 × 61 × 181 × 49994306906975514773<20> × [28691074214068521979110863658764775260082389857053802936722038706955259131871413388271070854967696360511372603912759853243898814520977752905755693183422095649089982423498605541372153686230888303528425546880449456009461289093770202945808265620948320451<251>] Free to factor
7×10277+6 = 7(0)2766<278> = 2 × 10903 × [3210125653489865174722553425662661652756122168210584242868935155461799504723470604420801614234614326332202146198294047509859671650004585893790699807392460790608089516646794460240300834632669907364945427863890672292029716591763734751903145923140420067871228102357149408419701<274>] Free to factor
7×10278+6 = 7(0)2776<279> = 2 × 587 × 985177 × 8695765531307417<16> × 2001069626111670634919168109532380607297<40> × [34781287786197641732179780524125016060499355731888961841858177971212494411404754312071447630697875145480634191220910187100909173805080061506122594575185567273870751949541033676999757592468229202070515963822476829753<215>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:148187259 for P40 / January 4, 2023 2023 年 1 月 4 日) Free to factor
7×10279+6 = 7(0)2786<280> = 2 × 136772527081<12> × [25589934431256178450722414052432360643252418578890145790096414545314282464266695316628884683493932525184618877883610872316686225606904343632115155449300665539407969637849525580047142274531357278811994607778420565191048449514463351176720369834840077520670168803898141963<269>] Free to factor
7×10280+6 = 7(0)2796<281> = 2 × 42863 × 22201490489<11> × 2297366110031952989<19> × 170401253961829681376881<24> × [93950771748011911228988457898191437417383710602438002670315281396620789988520510168183930600483502915444249822072053442716732719207756544583534612523965360744390344902306618576280190021144482202891707595920015907477456016681<224>] Free to factor
7×10281+6 = 7(0)2806<282> = 2 × 334661 × 399780011 × 427578080316341<15> × 1544620109060212057<19> × 420731992242837555490757334795143<33> × 9414542273955269369640411187528408710997008292095179735160431766374197448250792551527426217517525144984826701354465630458405714226439626850646058280809423038701890560229014738908913703678385374118332623<202> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:812011672 for P33 x P202 / November 20, 2022 2022 年 11 月 20 日)
7×10282+6 = 7(0)2816<283> = 2 × 13 × 23 × 83 × 1442641 × 48664604279<11> × 2008849016337194780878081642460187233998320241931160757373790933594585980752349518468429237309004238235109548022483520221431817777977480044054824677275626091590228350875018109838635813253955352319289766084834992974506215668233515097865728639454710382964635570581<262>
7×10283+6 = 7(0)2826<284> = 2 × 227 × [154185022026431718061674008810572687224669603524229074889867841409691629955947136563876651982378854625550660792951541850220264317180616740088105726872246696035242290748898678414096916299559471365638766519823788546255506607929515418502202643171806167400881057268722466960352422907489<282>] Free to factor
7×10284+6 = 7(0)2836<285> = 2 × 29 × 71 × 1236063287252518539789629<25> × [137521623345143781080923881067557023139431713194605700551068495912064635783920219197548858424773899151016483206650651809110590261438219654750983887745061878262211841113694925163859787041012699848569457852526393353626095305461487623629567750016978410201394973<258>] Free to factor
7×10285+6 = 7(0)2846<286> = 2 × 1846613519<10> × 4006577413<10> × 14643808813321<14> × [32304605741640155977539296796216991587366923067952976446935964899524707073185324684820977319730921911485742216941691526027386506888833840599565873834729923312187098279410752431853753514296119540225159502667377458975839999953537555588215414974382810119969<254>] Free to factor
7×10286+6 = 7(0)2856<287> = 2 × 35000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003<287>
7×10287+6 = 7(0)2866<288> = 2 × 43 × 127 × 617 × 10203113 × 10724859799<11> × 439283490891579195632227<24> × [2160933995164661719884562344501284357516302806032433050954986027556137754865297717535083459615250832771118768160376056772425212057899363632050612289230157304527235965161101646253444209900980320257163820154249409390981318036223097356064545531<241>] Free to factor
7×10288+6 = 7(0)2876<289> = 2 × 13 × 31 × 8684863523573200992555831265508684863523573200992555831265508684863523573200992555831265508684863523573200992555831265508684863523573200992555831265508684863523573200992555831265508684863523573200992555831265508684863523573200992555831265508684863523573200992555831265508684863523573201<286>
7×10289+6 = 7(0)2886<290> = 2 × 19 × 1181 × 4051 × 188786329 × 4204163683385447<16> × 485123312068747754449337339994239221130039000275684626838429825775682038870428409367286699130181132076949644419539947102476259463990738823204443217281049223016622290713234358386147293070296467143136193458133902793748557863170755746244122700061442938161537929<258>
7×10290+6 = 7(0)2896<291> = 2 × 353 × 37433301173041<14> × 9421125580102287639593<22> × 28427435461966601211454027<26> × 266941931211620193039643273<27> × [370491234496630269067681816831234391045404314242054938488112080097652627467167925503324998022594479879958060588201070574559085427616731689115292820929157745181164195395351593205961405567907922719674537<201>] Free to factor
7×10291+6 = 7(0)2906<292> = 2 × 277520692493041<15> × 50392057552462592241437<23> × 75739299285074382928109289355824847<35> × [3304374786013433973463562558613252988978784076959860231696537042327620530400467987213859241743692230557529560356138636015170137075914983721462327698424795279468956355165493037761099078577189862184327164253319417543576897<220>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:960517064 for P35 / January 4, 2023 2023 年 1 月 4 日) Free to factor
7×10292+6 = 7(0)2916<293> = 2 × 17 × 1009 × 2441 × 285579333065702754016240595688251<33> × [2927071979595345806740873000227849442271377218065065080629073529000565607884897122887552638029813033356185323583006629077062247355663710165885639177479354679087229568038857260602486820555006116131777542970245806157098759814157839958368765235371169009361<253>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1476087461 for P33 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10293+6 = 7(0)2926<294> = 2 × 709 × 650538784317083405629<21> × [758837204392477439750410662969506349550225652746611658507379725710073170799079494233679229138696638800844063964623906746818187370804477475881927106846266821320249431711668146269541559400601447420729657757836672360051099500899190792304578272233899873615532900935422063923<270>] Free to factor
7×10294+6 = 7(0)2936<295> = 2 × 13 × 593 × 14203249 × [31965558578198184831133003943993243780508318458952100977509648175254119681823972793009971802008007492230752196386995564574469089653695023119145085447340630574062517832737472660899026137777319802815884306054174447385280532068398625340292494460339084591486052303417574001602739097063183<284>] Free to factor
7×10295+6 = 7(0)2946<296> = 2 × 113363 × 6896893 × 3199064741<10> × 733109475563<12> × 866311850766520675482871<24> × [22033176232562312741378087636082924495777316209385461821431909229334291115600870781774084665829994341148847374446424362241728905555529928818582761508724689692547003679793348979304064212221709217349570015512249597238575866094672197807845269<239>] Free to factor
7×10296+6 = 7(0)2956<297> = 2 × 67 × 191 × 176504849 × 5171178904007<13> × 188578198335257<15> × [158899374704638672871294971213195811555503337950089582070800407670867038630694726673401047603295968843710725899433893604421670021634577661982712634593638551387858585981246373463476298647515799433804240953684830072503154327660044627527967429138378171623665249<258>] Free to factor
7×10297+6 = 7(0)2966<298> = 2 × 3253 × 112924819453<12> × 526088056391<12> × 18110737418751237508338110103341732202078030718073776100666887027729481856156177923947539157845153001309128647793567492445808883924931580670609101295538305801211835007106884795062091669091228634664818896062588185636938463345602815233748831271056528371090167894111038386437<272>
7×10298+6 = 7(0)2976<299> = 2 × 2549 × 1641589 × 4237437096757843523<19> × 225381137903256232876969<24> × [8758161393914604235311180920440481212492743908716875845127992825468197494758514598479359494473838334839717089047593187656304180400908219984169048231515066032515299167499173649506990148644260587832430159070698583292701470417416568761955163782901729<247>] Free to factor
7×10299+6 = 7(0)2986<300> = 2 × 29641111 × 44325289 × 3885428278928676223<19> × 68561939418977124528629492983965795648900665414229155456575577311814379776662981978662256280874332239827674024952946395413466214873337083404706268832299926580057367412424112120746085705368436912617124977621573934596649572727982293831448603072208719041588643839667859<266>
7×10300+6 = 7(0)2996<301> = 2 × 13 × 1493 × 33941329491375353082182659<26> × 16167710117443948460857715456941<32> × 328615103935209167256195172097066101094862989787107982772803995720549348466145116145982611091710544213885538532752178406399125573225155882386235112118136748430496154479964588560520935417150690568940859412354012814187390389884415518090396693<240> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1924325733 for P32 x P240 / November 20, 2022 2022 年 11 月 20 日)
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