Table of contents 目次

  1. About 300...004 300...004 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 300...004 300...004 の形の素数
    1. Last updated 最終更新日
    2. Known (probable) prime numbers 既知の (おそらく) 素数
  3. Factor table of 300...004 300...004 の素因数分解表
    1. Last updated 最終更新日
    2. Range of factorization 分解範囲
    3. Terms that have not been factored yet まだ分解されていない項
    4. Factor table 素因数分解表

1. About 300...004 300...004 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

30w4 = { 34, 304, 3004, 30004, 300004, 3000004, 30000004, 300000004, 3000000004, 30000000004, … }

1.3. General term 一般項

3×10n+4 (1≤n)

2. Prime numbers of the form 300...004 300...004 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...004 exists. 300...004 の形の素数は存在しません。

3. Factor table of 300...004 300...004 の素因数分解表

3.1. Last updated 最終更新日

February 14, 2024 2024 年 2 月 14 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=207, 208, 209, 210, 212, 213, 214, 218, 222, 224, 227, 228, 229, 233, 234, 235, 236, 239, 240, 242, 243, 246, 247, 248, 251, 252, 253, 254, 255, 256, 258, 261, 263, 267, 269, 270, 271, 272, 273, 274, 275, 276, 280, 282, 283, 284, 285, 286, 288, 289, 290, 291, 292, 293, 296, 297, 299, 300 (58/300)

3.4. Factor table 素因数分解表

3×101+4 = 34 = 2 × 17
3×102+4 = 304 = 24 × 19
3×103+4 = 3004 = 22 × 751
3×104+4 = 30004 = 22 × 13 × 577
3×105+4 = 300004 = 22 × 179 × 419
3×106+4 = 3000004 = 22 × 7 × 307 × 349
3×107+4 = 30000004 = 22 × 23 × 326087
3×108+4 = 300000004 = 22 × 67 × 1119403
3×109+4 = 3000000004<10> = 22 × 29 × 163 × 158663
3×1010+4 = 30000000004<11> = 22 × 13 × 223 × 2587099
3×1011+4 = 300000000004<12> = 22 × 75000000001<11>
3×1012+4 = 3000000000004<13> = 22 × 72 × 2251 × 6799699
3×1013+4 = 30000000000004<14> = 22 × 31 × 241935483871<12>
3×1014+4 = 300000000000004<15> = 22 × 6079 × 12337555519<11>
3×1015+4 = 3000000000000004<16> = 22 × 1222717 × 613388053
3×1016+4 = 30000000000000004<17> = 22 × 13 × 854593 × 675085189
3×1017+4 = 300000000000000004<18> = 22 × 17 × 4411764705882353<16>
3×1018+4 = 3000000000000000004<19> = 22 × 7 × 2184859 × 49038797077<11>
3×1019+4 = 30000000000000000004<20> = 22 × 47 × 769 × 2440577 × 85024591
3×1020+4 = 300000000000000000004<21> = 22 × 19 × 43 × 1117 × 13477 × 6098075617<10>
3×1021+4 = 3000000000000000000004<22> = 22 × 1366319309<10> × 548920003589<12>
3×1022+4 = 30000000000000000000004<23> = 22 × 13 × 61 × 5839 × 1619756012912263<16>
3×1023+4 = 300000000000000000000004<24> = 22 × 330131 × 2953837 × 76910994983<11>
3×1024+4 = 3000000000000000000000004<25> = 22 × 7 × 313 × 342309447740757644911<21>
3×1025+4 = 30000000000000000000000004<26> = 22 × 1747 × 2398603 × 1789822592930161<16>
3×1026+4 = 300000000000000000000000004<27> = 22 × 97 × 773195876288659793814433<24>
3×1027+4 = 3000000000000000000000000004<28> = 22 × 309059 × 2426721111502981631339<22>
3×1028+4 = 30000000000000000000000000004<29> = 22 × 13 × 31 × 29629 × 161796931 × 3882119892733<13>
3×1029+4 = 300000000000000000000000000004<30> = 22 × 23 × 2147309 × 1518584221095981670243<22>
3×1030+4 = 3000000000000000000000000000004<31> = 22 × 7 × 643 × 166629637858253721395245501<27>
3×1031+4 = 30000000000000000000000000000004<32> = 22 × 491 × 15274949083503054989816700611<29>
3×1032+4 = 300000000000000000000000000000004<33> = 22 × 3931 × 46056419371<11> × 414255276238212601<18>
3×1033+4 = 3000000000000000000000000000000004<34> = 22 × 17 × 609299677781<12> × 72407139979943815213<20>
3×1034+4 = 30000000000000000000000000000000004<35> = 22 × 13 × 15901003 × 36282181502832049215821359<26>
3×1035+4 = 300000000000000000000000000000000004<36> = 22 × 61610621873<11> × 1217322560947363349785937<25>
3×1036+4 = 3000000000000000000000000000000000004<37> = 22 × 7 × 5023 × 450601 × 12151801 × 21610753 × 180259161097<12>
3×1037+4 = 30000000000000000000000000000000000004<38> = 22 × 29 × 151 × 1451 × 1180372018636028196097249434169<31>
3×1038+4 = 300000000000000000000000000000000000004<39> = 22 × 19 × 1182073 × 17484739 × 68721409 × 2779151074725073<16>
3×1039+4 = 3000000000000000000000000000000000000004<40> = 22 × 36299 × 37879 × 9883668741013<13> × 55188668483856737<17>
3×1040+4 = 30000000000000000000000000000000000000004<41> = 22 × 13 × 139 × 4150525733259546209186496956281128943<37>
3×1041+4 = 300000000000000000000000000000000000000004<42> = 22 × 43 × 67 × 26032627559875043387712599791738979521<38>
3×1042+4 = 3000000000000000000000000000000000000000004<43> = 22 × 7 × 128767 × 9553716213631<13> × 87093613349564439669559<23>
3×1043+4 = 30000000000000000000000000000000000000000004<44> = 22 × 31 × 23731181 × 2961174580073<13> × 3442834967299409875267<22>
3×1044+4 = 300000000000000000000000000000000000000000004<45> = 22 × 209563 × 91823569 × 3897557109819383710427518619683<31>
3×1045+4 = 3000000000000000000000000000000000000000000004<46> = 22 × 149 × 409 × 5465437290748678073<19> × 2251784219676351944557<22>
3×1046+4 = 30000000000000000000000000000000000000000000004<47> = 22 × 13 × 1873 × 268682749 × 1146411016063432312892466008904601<34>
3×1047+4 = 300000000000000000000000000000000000000000000004<48> = 22 × 59 × 157 × 1559166779<10> × 5192984503369608835225022757394813<34>
3×1048+4 = 3000000000000000000000000000000000000000000000004<49> = 22 × 7 × 439 × 4057 × 58672073590729<14> × 1025326679537129519574349729<28>
3×1049+4 = 30000000000000000000000000000000000000000000000004<50> = 22 × 17 × 300047961533602926233917<24> × 1470353167317976013306309<25>
3×1050+4 = 300000000000000000000000000000000000000000000000004<51> = 22 × 531624654167852587<18> × 141076978676613188377427356731523<33>
3×1051+4 = 3(0)504<52> = 22 × 233 × 120877 × 509957616341395719957955368018498602381939<42>
3×1052+4 = 3(0)514<53> = 22 × 13 × 277 × 421 × 4947161022175814187270492954912893686828876381<46>
3×1053+4 = 3(0)524<54> = 22 × 941 × 79702444208289054197662061636556854410201912858661<50>
3×1054+4 = 3(0)534<55> = 22 × 72 × 4801 × 142297 × 2118186162487403581<19> × 10577270395188706713416557<26>
3×1055+4 = 3(0)544<56> = 22 × 10987 × 730917622027<12> × 2664532739413<13> × 10311417977881<14> × 33991807129933<14>
3×1056+4 = 3(0)554<57> = 22 × 19 × 40057538467<11> × 98542460972846167046716860388071223391664937<44>
3×1057+4 = 3(0)564<58> = 22 × 895211025311093743027337<24> × 837791290315452014925825652601273<33>
3×1058+4 = 3(0)574<59> = 22 × 132 × 31 × 283 × 9697 × 15001387 × 34774237733789185172272149059743245474607<41>
3×1059+4 = 3(0)584<60> = 22 × 3125701838141<13> × 49458562320983<14> × 485145745596858487942694870545267<33>
3×1060+4 = 3(0)594<61> = 22 × 7 × 47317927 × 3520592851895809<16> × 143746996943854357<18> × 4474277644730995693<19>
3×1061+4 = 3(0)604<62> = 22 × 76603 × 61080001497880564270959137<26> × 1602936972165253925738748249491<31>
3×1062+4 = 3(0)614<63> = 22 × 43 × 3347796097<10> × 935078130104133463627<21> × 557167671441446573198811744553<30>
3×1063+4 = 3(0)624<64> = 22 × 745709 × 1005754255346254370002239479475237659730538319907631529189<58>
3×1064+4 = 3(0)634<65> = 22 × 13 × 223963 × 196820241697<12> × 316068387749578137841<21> × 41408625303903784623442927<26>
3×1065+4 = 3(0)644<66> = 22 × 17 × 29 × 47 × 211333 × 538589 × 1337040593219<13> × 188690973036381527<18> × 112718700134792337151<21>
3×1066+4 = 3(0)654<67> = 22 × 7 × 2179 × 807787 × 1638497243293<13> × 429389577894387919<18> × 86519085311819407657726573<26>
3×1067+4 = 3(0)664<68> = 22 × 199 × 37688442211055276381909547738693467336683417085427135678391959799<65>
3×1068+4 = 3(0)674<69> = 22 × 1471 × 2320471 × 4071395863<10> × 5396710412457593976633193287449185353989460466447<49>
3×1069+4 = 3(0)684<70> = 22 × 1571 × 13885733139037<14> × 34380822624998315557420615148751039869278518598733063<53>
3×1070+4 = 3(0)694<71> = 22 × 13 × 787 × 14320507 × 2838174295569409<16> × 77198189465266697521<20> × 233635378760828591719477<24>
3×1071+4 = 3(0)704<72> = 22 × 263 × 29207 × 2727841 × 122867926894729<15> × 29131374810097354952292348477327945476464249<44>
3×1072+4 = 3(0)714<73> = 22 × 7 × 304148743 × 208009612699446182824147027<27> × 1693533500670590198456753122383964363<37>
3×1073+4 = 3(0)724<74> = 22 × 23 × 31 × 2069 × 12721 × 13188283055897<14> × 30304123732437180148259895517688315504235613969709<50>
3×1074+4 = 3(0)734<75> = 22 × 19 × 67 × 63389927451180704987701748221<29> × 929421265361895060341411468436493262631997<42>
3×1075+4 = 3(0)744<76> = 22 × 4831 × 12601 × 11280341 × 246694191690194167849691<24> × 4427290929666550780899497916244004641<37>
3×1076+4 = 3(0)754<77> = 22 × 13 × 4513 × 261175217179<12> × 10885403516936677<17> × 44965153494929118172301520520064656835137363<44>
3×1077+4 = 3(0)764<78> = 22 × 1097 × 1129 × 8759839932047<13> × 6912967632916078092200699727844192348155832552032469584991<58>
3×1078+4 = 3(0)774<79> = 22 × 7 × 2421319 × 1269219275646987463<19> × 52284196296505333639<20> × 666813091661942911865952114066721<33>
3×1079+4 = 3(0)784<80> = 22 × 2447 × 1069793854489<13> × 2865016947552184877417404473455497783985424203563918386041026247<64>
3×1080+4 = 3(0)794<81> = 22 × 2128827184394129129164074529<28> × 35230666232470736900326119651353280531323025347417569<53>
3×1081+4 = 3(0)804<82> = 22 × 17 × 113 × 55103 × 7085306705402951642413299676174087043824218528694873373429682293997092927<73>
3×1082+4 = 3(0)814<83> = 22 × 13 × 61 × 9457755359394703656998738965952080706179066834804539722572509457755359394703657<79>
3×1083+4 = 3(0)824<84> = 22 × 43 × 114906367283293<15> × 15179194049460013709449786383511309638419838848348369631795532258399<68>
3×1084+4 = 3(0)834<85> = 22 × 7 × 541 × 4003 × 71233 × 12671041 × 17963653 × 16580341756944388907347<23> × 184034269417927737836658923448644767<36>
3×1085+4 = 3(0)844<86> = 22 × 441907 × 4580689 × 443308098928213<15> × 43844178791547647<17> × 190625927482594774935567522594132010573217<42>
3×1086+4 = 3(0)854<87> = 22 × 139 × 883 × 2677 × 4976467152708902497327643614909<31> × 45868680449944184580561934397099697502643142961<47> (Eric Jeancolas / ECM for P31 x P47 / June 7, 2022 2022 年 6 月 7 日)
3×1087+4 = 3(0)864<88> = 22 × 2090004825712732600272649017409893199<37> × 358850846071245459143665425790731205553476015866799<51> (Eric Jeancolas / ECM for P37 x P51 / June 7, 2022 2022 年 6 月 7 日)
3×1088+4 = 3(0)874<89> = 22 × 13 × 31 × 23096664901129100558230819<26> × 805762300137042780505725017867163700522593755118502182897193<60>
3×1089+4 = 3(0)884<90> = 22 × 858010091 × 1653559038284929<16> × 1896460529650450026472283135401<31> × 27874388838411716951055326734357259<35> (Eric Jeancolas / ECM for P31 x P35 / June 7, 2022 2022 年 6 月 7 日)
3×1090+4 = 3(0)894<91> = 22 × 7 × 163 × 8821 × 101141396275743282896113<24> × 736764771842237947214114325961264459415519801218248934016857<60>
3×1091+4 = 3(0)904<92> = 22 × 5309 × 54151 × 40904882233756213<17> × 637774146592195353555719669830574014169481755441696524728451951703<66>
3×1092+4 = 3(0)914<93> = 22 × 19 × 19208330309369782993368770185084004176044649<44> × 205502943643524996678604964120193565530044313571<48> (Eric Jeancolas / ECM for P44 x P48 / June 7, 2022 2022 年 6 月 7 日)
3×1093+4 = 3(0)924<94> = 22 × 29 × 22045943 × 10922374803573697963<20> × 107403271441882122363658972621707277826252431935351904389192460441<66>
3×1094+4 = 3(0)934<95> = 22 × 13 × 1196227 × 2354043877<10> × 23809482482937030157<20> × 8604780597387373704396398070144154959263613960798428215159<58>
3×1095+4 = 3(0)944<96> = 22 × 23 × 3864953 × 2029639258569406441<19> × 415690745230582726150433699514310965073375744909603071389724573957319<69>
3×1096+4 = 3(0)954<97> = 22 × 73 × 45337934071<11> × 5626951925149<13> × 8571014149351217668481636987840088948616050697231820709896461701820933<70>
3×1097+4 = 3(0)964<98> = 22 × 17 × 17707 × 9598077971<10> × 2595870846832913787015709888437464909936862483706867020726439219647764725661370049<82>
3×1098+4 = 3(0)974<99> = 22 × 3733 × 264876877 × 1366781182177547333780870919608378449<37> × 55495815210232534230685561959635646969074013912289<50> (Eric Jeancolas / ECM for P37 x P50 / June 7, 2022 2022 年 6 月 7 日)
3×1099+4 = 3(0)984<100> = 22 × 154884274372184429<18> × 49400423487431926062176043412548446506693<41> × 98021933771899501436442395114956487609633<41> (Eric Jeancolas / ECM for P41(4940...) x P41(9802...) / June 7, 2022 2022 年 6 月 7 日)
3×10100+4 = 3(0)994<101> = 22 × 13 × 390337150605757<15> × 1478012215920930603703254781707568486048769668784107161778653850717321941885240206761<85>
3×10101+4 = 3(0)1004<102> = 22 × 1061 × 13559893 × 1669951331<10> × 36829919443<11> × 548662819908713<15> × 154482575913913561788717056148634956881604741471389232953<57>
3×10102+4 = 3(0)1014<103> = 22 × 7 × 176023 × 471697651 × 1597098188845648120706840367924397<34> × 807976024999687617667429191292826856588413117140987303<54> (Eric Jeancolas / ECM for P34 x P54 / June 7, 2022 2022 年 6 月 7 日)
3×10103+4 = 3(0)1024<104> = 22 × 312 × 1553 × 1699727 × 1197719521369104732546059<25> × 2468494243103446924552623709174291506785811022932534957848717030429<67>
3×10104+4 = 3(0)1034<105> = 22 × 43 × 109 × 5821 × 42643 × 52567 × 116167 × 260173916566989706653217<24> × 40575253242538535325247310001444148607179654158319331044057<59>
3×10105+4 = 3(0)1044<106> = 22 × 59 × 131 × 21997 × 49800371 × 29063100674918689<17> × 3047894826976201293875638377207948732767631587974338927241693377576826583<73>
3×10106+4 = 3(0)1054<107> = 22 × 13 × 12545312883645728148282094246047579409315873<44> × 45987141355012606698727951360448280376311556873925068801946149<62> (Eric Jeancolas / ECM for P44 x P62 / June 7, 2022 2022 年 6 月 7 日)
3×10107+4 = 3(0)1064<108> = 22 × 67 × 13015571 × 3475858086198726201977<22> × 24743503838069747492614590791287815518010580943670267817282504043705292713809<77>
3×10108+4 = 3(0)1074<109> = 22 × 7 × 181 × 145141194973<12> × 327077791477494353333166691<27> × 975237662313273405641807857<27> × 12785933247113830385394436185055432062253<41>
3×10109+4 = 3(0)1084<110> = 22 × 28433 × 162419 × 1185246131323<13> × 180882474020323<15> × 1451838525421747<16> × 159446331733072962037<21> × 32723809934119881103166593121377867573<38>
3×10110+4 = 3(0)1094<111> = 22 × 19 × 13410940033<11> × 321309279349644137337893611549<30> × 394091121829396096332166615827553<33> × 2324494498760407481877827989744252279<37> (Eric Jeancolas / ECM for P30 x P33 x P37 / June 7, 2022 2022 年 6 月 7 日)
3×10111+4 = 3(0)1104<112> = 22 × 47 × 167 × 1597 × 68317979 × 2886201220545462577618050233<28> × 554567638170997495696214007857<30> × 547174536867947255485359990744437359583<39> (Eric Jeancolas / ECM for P30 x P39 / June 7, 2022 2022 年 6 月 7 日)
3×10112+4 = 3(0)1114<113> = 22 × 13 × 151 × 193 × 34123 × 580144859768911051166492639981368494670278442599270580912941395712381414862415579086547526060168402793<102>
3×10113+4 = 3(0)1124<114> = 22 × 17 × 53437 × 6380923 × 230012739883<12> × 1725976699457<13> × 1609352667474009466193<22> × 20251105010927962262645953888030961705461245038775874541<56>
3×10114+4 = 3(0)1134<115> = 22 × 7 × 585283 × 395326345457709275460591408403<30> × 463064572438979251139026018495861553094442808580157425562113406038014300284207<78> (Eric Jeancolas / ECM for P30 x P78 / June 7, 2022 2022 年 6 月 7 日)
3×10115+4 = 3(0)1144<116> = 22 × 997 × 2903 × 40494853544599<14> × 63991050038804795935589662136851909487111416355095363273982014548558558216122528502230268538589<95>
3×10116+4 = 3(0)1154<117> = 22 × 22451641113470336947<20> × 8250512193871941209943139498963523534548976653<46> × 404885535050374698760636130457614810184960187084711<51> (Eric Jeancolas / ECM for P46 x P51 / June 7, 2022 2022 年 6 月 7 日)
3×10117+4 = 3(0)1164<118> = 22 × 23 × 6866177 × 810583940271875153<18> × 5858958713335882214540579202498373802612323579335544405835018878256035628346064234381271927<91>
3×10118+4 = 3(0)1174<119> = 22 × 13 × 31 × 586897 × 20370307 × 408627762875028837584229926887339<33> × 3809507942581167418586949668665110616538671433767274171120363376713707<70> (Eric Jeancolas / ECM for P33 x P70 / June 7, 2022 2022 年 6 月 7 日)
3×10119+4 = 3(0)1184<120> = 22 × 1703850371<10> × 17375203177357<14> × 95661521566441<14> × 1694852501228939740585790478039767584577<40> × 15625384950293565306934987056061117980432319<44> (Eric Jeancolas / ECM for P40 x P44 / June 7, 2022 2022 年 6 月 7 日)
3×10120+4 = 3(0)1194<121> = 22 × 7 × 350899 × 9530368939233598767697<22> × 293416928857718835502873<24> × 426914554437353473354802624846257<33> × 255767436862237296643798891480453621<36> (Eric Jeancolas / ECM for P33 x P36 / June 7, 2022 2022 年 6 月 7 日)
3×10121+4 = 3(0)1204<122> = 22 × 29 × 277 × 3391 × 65394488940167<14> × 4210314682115543250171145085396633966393831397153039746826850491790829718090314728995365373108556201<100>
3×10122+4 = 3(0)1214<123> = 22 × 97 × 349 × 1214168521<10> × 3185533457143<13> × 572799938146022623623762776090066679328604543298826816702688900461231926377761133079970900897339<96>
3×10123+4 = 3(0)1224<124> = 22 × 2591153 × 33985061612304278630362539737827556281<38> × 8516872469541817203242958129185248716774679270820057528251120932697244843424857<79> (Eric Jeancolas / ECM for P38 x P79 / June 7, 2022 2022 年 6 月 7 日)
3×10124+4 = 3(0)1234<125> = 22 × 13 × 5051070061<10> × 73688903719<11> × 1550002587394624082109754840231453662829437923749506189793547597751914393783568748488911494693856297503<103>
3×10125+4 = 3(0)1244<126> = 22 × 43 × 157 × 35171 × 414625139573446935841903093695686310644599<42> × 761820768549292420439316363700944700075299349740325758211279347377197518419<75> (Eric Jeancolas / ECM for P42 x P75 / June 7, 2022 2022 年 6 月 7 日)
3×10126+4 = 3(0)1254<127> = 22 × 7 × 337 × 317931326833403984739296311996608732513777024162780839338702840186519711742263671047053836371343789741415854175498092412039<123>
3×10127+4 = 3(0)1264<128> = 22 × 86911810247<11> × 199593615125291291718721<24> × 432350358361298943028251364418134097918447162726210656141115580025677594886534583674884468023<93>
3×10128+4 = 3(0)1274<129> = 22 × 19 × 751 × 5167 × 50773 × 1430296049063131<16> × 109404510339568137476227909<27> × 1429994825417726581430667829<28> × 89536642963381800625916358556790946073680270709<47>
3×10129+4 = 3(0)1284<130> = 22 × 17 × 8947021351<10> × 4930987121640493491180079992898738436962805481438949753441671822541263175072348493513332467315724204718851444208363303<118>
3×10130+4 = 3(0)1294<131> = 22 × 13 × 1140087183853<13> × 1338543129196917377733404846196345626110892924299<49> × 378048464370038768958555711677614571564184142225765990574268141068491<69> (Eric Jeancolas / ECM for P49 x P69 / June 7, 2022 2022 年 6 月 7 日)
3×10131+4 = 3(0)1304<132> = 22 × 373 × 2089 × 2557 × 76219709 × 28665580538783<14> × 17228808176733363357544842943624592657133893388752609238724515443086187400912093648752264243037386227<101>
3×10132+4 = 3(0)1314<133> = 22 × 7 × 139 × 13297 × 900973 × 511645759 × 9159293953<10> × 13729401387838646186656770157997440592352772249194184543277897785542264388208747483006872001009949751<101>
3×10133+4 = 3(0)1324<134> = 22 × 31 × 573101 × 467443349 × 1436829526967230533231535586676097134863777087<46> × 628541813537251562954210931605713997187912273216336032870944162539319217<72> (Eric Jeancolas / ECM for P46 x P72 / June 7, 2022 2022 年 6 月 7 日)
3×10134+4 = 3(0)1334<135> = 22 × 802207319037729841<18> × 93492041546024039875037737960774160273823588358410526480359523899045535310621258369459446817263924533748458697751761<116>
3×10135+4 = 3(0)1344<136> = 22 × 983 × 2865559 × 838171913527239001<18> × 128914196036435114783893293265984409020233594142111<51> × 2464135255641928402599957084942075640695116903363751714503<58> (Eric Jeancolas / ECM for P51 x P58 / June 7, 2022 2022 年 6 月 7 日)
3×10136+4 = 3(0)1354<137> = 22 × 132 × 1801 × 71949643 × 1196113546327028133152170513<28> × 403722104333318970571146770232898796943127039<45> × 709213943357735206398913520221399321458762218211229<51> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P51 / June 13, 2022 2022 年 6 月 13 日)
3×10137+4 = 3(0)1364<138> = 22 × 643 × 1223 × 233072706958680591749<21> × 409196973796464174663706933883639475810083573485846378924367794900471186821353785968266260400183684046130809241<111>
3×10138+4 = 3(0)1374<139> = 22 × 72 × 626667961 × 969970725187<12> × 2434845702474581164004929813<28> × 10341835367236660976922048745184189303584962949230061392225174328351947766991003689513639<89>
3×10139+4 = 3(0)1384<140> = 22 × 23 × 303497213651106320385211457<27> × 372290112887518116637609635030634659055651843<45> × 2886005912860319653314862663173015469991854995776400156702015061837<67> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P67 / June 15, 2022 2022 年 6 月 15 日)
3×10140+4 = 3(0)1394<141> = 22 × 67 × 1303 × 1381 × 13933 × 20899 × 2195359471<10> × 368310464564071<15> × 539337333212590307631251445493351<33> × 4898893962818963958561130875424171362006386157889743953443775247793<67> (Eric Jeancolas / ECM for P33 x P67 / June 7, 2022 2022 年 6 月 7 日)
3×10141+4 = 3(0)1404<142> = 22 × 1259 × 547223 × 627669374523735140304274463077<30> × 66176481802702939983290375811570187793146754653<47> × 26208162751758205749390949674016745878907972892356330053<56> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2999626470 for P30 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P56 / June 15, 2022 2022 年 6 月 15 日)
3×10142+4 = 3(0)1414<143> = 22 × 13 × 61 × 19429 × 8336184168677570330325691<25> × 2906566058118521989386549535459<31> × 20090471502249115364437000456896354590392092657899831513377459330805574633213157<80> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1335348973 for P31 x P80 / June 7, 2022 2022 年 6 月 7 日)
3×10143+4 = 3(0)1424<144> = 22 × 1305889367<10> × 57432123957250966727566593319233297654991933171931554596998261645237823580502436237387634690803022672899977751331212117909832096825703<134>
3×10144+4 = 3(0)1434<145> = 22 × 7 × 1348537 × 217784543577855546206984900683<30> × 364815517202605554461934590432861103595069631000545880080384513685960634508041537674114068951369988654202733<108> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:567972434 for P30 x P108 / June 7, 2022 2022 年 6 月 7 日)
3×10145+4 = 3(0)1444<146> = 22 × 17 × 9013 × 2364519613557813254323401319<28> × 20701415877547975301729632650916197640581673017792380353523170914375887271277598246601329109383767857250499251499<113>
3×10146+4 = 3(0)1454<147> = 22 × 19 × 43 × 5768849533<10> × 63825147979<11> × 476842018697894202869712006910069<33> × 522857867208037850780367547014151440669402360290252619167152191427337844246686361768927091<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2454126546 for P33 x P90 / June 7, 2022 2022 年 6 月 7 日)
3×10147+4 = 3(0)1464<148> = 22 × 3613705299119663978491855118534225853091781365319633604583244628631<67> × 207543210616180507116857405613734377514718027833920737715626659993846180979711271<81> (Bob Backstrom / Msieve 1.54 snfs for P67 x P81 / June 12, 2022 2022 年 6 月 12 日)
3×10148+4 = 3(0)1474<149> = 22 × 13 × 31 × 811 × 11827 × 1472240827<10> × 76424039301957087421538844807133<32> × 17244552193095714080023901330316006090228047496360883944362583093714822535699358726557305168564421<98> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:81043248 for P32 x P98 / June 7, 2022 2022 年 6 月 7 日)
3×10149+4 = 3(0)1484<150> = 22 × 29 × 383 × 7937 × 29567 × 66593 × 39596131931<11> × 2352865115795956391748895209273450167699<40> × 4637911703464682182358497067424882021175235602723704587916498264137342669242268501<82> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2619457944 for P40 x P82 / June 18, 2022 2022 年 6 月 18 日)
3×10150+4 = 3(0)1494<151> = 22 × 7 × 232542940774092636675647752054747<33> × 460744397512985332312317374900360796743555088752666206770222963435292362473680062009432684941175204716793229540406869<117> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2406912662 for P33 x P117 / June 7, 2022 2022 年 6 月 7 日)
3×10151+4 = 3(0)1504<152> = 22 × 21612026654532659719066181<26> × 347029000097361791376047299284848203922503161115480189590544515435097900787738763948912117475196771151134808588520965684654221<126>
3×10152+4 = 3(0)1514<153> = 22 × 94153 × 249763 × 388897 × 88072044469492849<17> × 965575789615526113<18> × 208941034525361121961<21> × 461547304605819193322691124519133077365443081185605654918261012737865944556371371<81>
3×10153+4 = 3(0)1524<154> = 22 × 4229 × 27072319 × 6550857003341786875078212816250471182367115579130890337058141247517736566549238639798470739730529294080810743163358818106159120793461154990451<142>
3×10154+4 = 3(0)1534<155> = 22 × 13 × 46309 × 167641 × 363043 × 105412753 × 14239794607<11> × 29531773501<11> × 2910759523358287<16> × 13937025866666409650666285401<29> × 113828589730683653066503665046551102697202784269077763028707248903<66>
3×10155+4 = 3(0)1544<156> = 22 × 4019 × 141067 × 1159394311<10> × 845431476112965861403<21> × 157275011806515270756749<24> × 858120984353519536957376949124483027121607738194953619249757361812061641151250110194545024761<93>
3×10156+4 = 3(0)1554<157> = 22 × 7 × 811183 × 5805422263<10> × 3238339949455707933643312850274440022551506481712301925355588031<64> × 7025676218596939611938791781592882927285653964969603907423000647498424223857<76> (Bob Backstrom / Msieve 1.54 snfs for P64 x P76 / June 13, 2022 2022 年 6 月 13 日)
3×10157+4 = 3(0)1564<158> = 22 × 472 × 3395201448619284744228157537347215934812132186509732910819375282933454051607062019013128112267994567677682209144409234947940244454504300588501584427342689<154>
3×10158+4 = 3(0)1574<159> = 22 × 9187 × 6044893 × 8092324629843339037969<22> × 166888200812223163620281609968368339285455798480631691338741691091922775331416004722570608087133177618048610850989540817183319<126>
3×10159+4 = 3(0)1584<160> = 22 × 307 × 9151 × 4573691 × 32518780959439<14> × 40776176140793<14> × 1008975224825236776126488513733061883131376543<46> × 43628095659095375878310357778665831765564198332743183246848871523352878343<74> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P74 / June 19, 2022 2022 年 6 月 19 日)
3×10160+4 = 3(0)1594<161> = 22 × 13 × 576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077<159>
3×10161+4 = 3(0)1604<162> = 22 × 17 × 23 × 70096972519590871<17> × 3539842596224855665402401625542151<34> × 15746984359296878929274135406923327<35> × 49091228191121321968614849530526727985311943547152419408553214810803745833<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3242137306 for P35 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P34 x P74 / June 13, 2022 2022 年 6 月 13 日)
3×10162+4 = 3(0)1614<163> = 22 × 7 × 379 × 17440171447<11> × 129484805731<12> × 1384549200834847348411366473435020416455427974244237<52> × 90416160440787205710606328959011140740497509326964772794977153063384745914730168305013<86> (Eric Jeancolas / cado-nfs-3.0.0 for P52 x P86 / June 21, 2022 2022 年 6 月 21 日)
3×10163+4 = 3(0)1624<164> = 22 × 31 × 59 × 101891 × 90782753 × 52461765149467<14> × 1870480778416647708041340267058451758412610607466134691<55> × 4517646408021344862251389631814514055778972134168841453177138199363587335429599<79> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P79 / June 21, 2022 2022 年 6 月 21 日)
3×10164+4 = 3(0)1634<165> = 22 × 19 × 13441 × 15305837059717<14> × 4610721436278629977<19> × 4161502033769042792611150355726567906917070317281129736068867082936463903284062578608414420277272525833650944210079469164555191<127>
3×10165+4 = 3(0)1644<166> = 22 × 242773 × 17664599038181126653<20> × 2746324358030533136204557283041058826599493634305389<52> × 63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461<89> (Eric Jeancolas / cado-nfs-3.0.0 for P52 x P89 / June 21, 2022 2022 年 6 月 21 日)
3×10166+4 = 3(0)1654<167> = 22 × 13 × 199 × 797947 × 3633212405475481876703546990801053524442043344254031878384053056829682911692501969379151175579475785280942816720261870285152709553725646197575401472792600009<157>
3×10167+4 = 3(0)1664<168> = 22 × 43 × 160445501 × 1082477284753403888612959<25> × 10042607110721259864137175021942119672283470160041845650740263403892798020498995949709097527317688714597963084730316050122836074432673<134>
3×10168+4 = 3(0)1674<169> = 22 × 7 × 937 × 1977405757<10> × 107816501866423933452157567<27> × 72609906707603133160969723177<29> × 7386636412918363403035802591099816640496277538590090662448634427020280287535828984695199738689735853<100> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1372913832 for P29 x P100 / June 19, 2022 2022 年 6 月 19 日)
3×10169+4 = 3(0)1684<170> = 22 × 83071 × 1248764147901330889351495025494833038042823505364117104576748557625226913568949299<82> × 72298852317014256675099076005153083675768246312775588630899278296366022148946132869<83> (Bob Backstrom / Msieve 1.54 snfs for P82 x P83 / June 14, 2022 2022 年 6 月 14 日)
3×10170+4 = 3(0)1694<171> = 22 × 607 × 7458229 × 17494153166971060010979600628387601593<38> × 946986818161721560518055284684204444992976134185062871730442032220252557322243550525945268347173624556094062463627682049819<123> (Bob Backstrom / Msieve 1.54 snfs for P38 x P123 / June 14, 2022 2022 年 6 月 14 日)
3×10171+4 = 3(0)1704<172> = 22 × 163 × 4003 × 61404249405539<14> × 10587152379994331<17> × 463184149136507559706115467615817<33> × 13494773084001523591135038957306986479<38> × 282872808906881338846557976258143047066863211721818757155302088207<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2683589208 for P33 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / Yafu 1.34 for P38 x P66 / June 12, 2022 2022 年 6 月 12 日)
3×10172+4 = 3(0)1714<173> = 22 × 13 × 229 × 2740410823<10> × 319611474891587503781241601<27> × 2876367622039176066049827701032323688962718543745283672708910516555267835630401683068836483608724693209820669077173370388718793742231<133>
3×10173+4 = 3(0)1724<174> = 22 × 67 × 486643097 × 3271248767<10> × 377509782819461<15> × 711068546267449<15> × 46025949824183314717<20> × 3832219633213278270854087<25> × 14851471682126733245153616731820756179210199966940705645348802129988212456937187<80>
3×10174+4 = 3(0)1734<175> = 22 × 7 × 12245749050684528746025024124303777717317834091528337467<56> × 8749391866467158463802469301769516193854929182092140455375580485990689885932816083438971055000759555883500124804891829<118> (Bob Backstrom / Msieve 1.54 snfs for P56 x P118 / June 13, 2022 2022 年 6 月 13 日)
3×10175+4 = 3(0)1744<176> = 22 × 3686035823<10> × 5299103897063<13> × 58558688965534944731904166234561272046343<41> × 6584086526080450245509880976251454822275190202248217<52> × 995892364252393159718874355698287819992118653202260453482679<60> (Bob Backstrom / Msieve 1.54 snfs for P41 x P52 x P60 / June 14, 2022 2022 年 6 月 14 日)
3×10176+4 = 3(0)1754<177> = 22 × 18793 × 32563 × 172706061121706083087<21> × 145312947353538540150764911<27> × 4909610239580987817203049965029563338653<40> × 994676444719709781701420000842972853941878943113855908541317506665833193576990559<81> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:994288435 for P27 / June 14, 2022 2022 年 6 月 14 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2759523619 for P40 x P81 / June 15, 2022 2022 年 6 月 15 日)
3×10177+4 = 3(0)1764<178> = 22 × 17 × 29 × 6353 × 10493054467058132436424075697382463491258651637215200581067861475407<68> × 22820941704752576783378048264704889862131172897167999026241054992038691978535059498900708522111101485467<104> (ebina / Msieve 1.53 snfs for P68 x P104 / June 14, 2022 2022 年 6 月 14 日)
3×10178+4 = 3(0)1774<179> = 22 × 13 × 31 × 139 × 12692230933<11> × 10548809550197316780600576509612712648124237642856510618607965317958983333660580657993160413806803950226968549792686385107913270217817573566568007882834118537229741<164>
3×10179+4 = 3(0)1784<180> = 22 × 1607 × 656399993 × 1134804230615752447448624252873029279<37> × 8222878433861116338540055747652606205715341481322540654150007547<64> × 7619597013914940211960480577156519977829192173724674276924378527427<67> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:202199789 for P37 / June 7, 2022 2022 年 6 月 7 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P64 x P67 / June 17, 2022 2022 年 6 月 17 日)
3×10180+4 = 3(0)1794<181> = 22 × 72 × 765169 × 650100882889<12> × 715667937812449024854989187740740665062986706842993<51> × 42994757094913241286609583102052497622065817162188619594566958800619334622802229395665207726715985933829639273<110> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P51 x P110 / June 14, 2022 2022 年 6 月 14 日)
3×10181+4 = 3(0)1804<182> = 22 × 31925141459<11> × 234924565945366513215298577199015442583383166709494767159897645357524992008524838405164731207589290700909216604013419353663638217553684669485366930915562086624989447630939<171>
3×10182+4 = 3(0)1814<183> = 22 × 19 × 71511493 × 4278011887<10> × 12902974239829521286035119003306507657796464728211740086268446791903885601098669623822863564365035331017478321783583946378993531501813716980827741440757236181223569<164>
3×10183+4 = 3(0)1824<184> = 22 × 23 × 179 × 2707 × 6100094530588215439279<22> × 11032033589650311049578462142646052236051817950089751531397208046235165437483839071566435577058954546584403629250693406952808953475856261804159339107742401<155>
3×10184+4 = 3(0)1834<185> = 22 × 13 × 39480560429026300140071127589<29> × 2842407454840612104160373982829208596701625594010129953<55> × 5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281<100> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P100 / July 18, 2022 2022 年 7 月 18 日)
3×10185+4 = 3(0)1844<186> = 22 × 3895423728133798728246425933604025299540775819595302999<55> × 24461427075286349580677034183281280555682464814570789003<56> × 787090676439489142371346903263153066177591721065399508069568038820768653333<75> (Bob Backstrom / Msieve 1.54 snfs for P55 x P56 x P75 / June 20, 2022 2022 年 6 月 20 日)
3×10186+4 = 3(0)1854<187> = 22 × 7 × 1093 × 178621 × 239792923 × 24253022533<11> × 1110073951255685919906049470745237<34> × 3605578782277241777681463643894275470807195943104068833553903<61> × 23576612849539635953369169868270843575756825753807503591110216819<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:83499810 for P34 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P61 x P65 / June 14, 2022 2022 年 6 月 14 日)
3×10187+4 = 3(0)1864<188> = 22 × 151 × 3075593 × 16645356259296637<17> × 11947602566448190673<20> × 81204779244069688808098611214828468827607869902705472115505335621748000784950866534298219123741851301560373163100258382561542330547866838350507<143>
3×10188+4 = 3(0)1874<189> = 22 × 43 × 19501 × 1150600819<10> × 4326333223<10> × 22534359723075741103<20> × 797344599836826571300712996062000632336592429634321862571123024780968449125126745893215265837265536625713641607377048965210052280578960460477837<144>
3×10189+4 = 3(0)1884<190> = 22 × 38501 × 6204614683<10> × 13372951586869213<17> × 13282532772657512393441656508018738995768489<44> × 17675278639343455685528620686191715768828568325726890697818857097919739179147037658807117721005649717653395404420171<116> (Bob Backstrom / GMP-ECM 7.0.4 B1=16000000, sigma=1:3457523470 for P44 x P116 / July 12, 2022 2022 年 7 月 12 日)
3×10190+4 = 3(0)1894<191> = 22 × 13 × 277 × 1039 × 5449 × 33049 × 1382696071963<13> × 4181121031861<13> × 15011858747592853<17> × 128260676346863872663545557223192920270095276682738149633824720769995008364783899324648622625043207267779835928916116010817162491129621<135>
3×10191+4 = 3(0)1904<192> = 22 × 233 × 15001459246703224027055316381010652230832993537342478121451<59> × 21457140050419212766956658895158899693575256524941730088699192517160358563036301834521294287078928829621774607026938236438377004747<131> (Bob Backstrom / Msieve 1.54 snfs for P59 x P131 / June 22, 2022 2022 年 6 月 22 日)
3×10192+4 = 3(0)1914<193> = 22 × 7 × 421 × 808021673983<12> × 314961969364024609636615734360838849233997546714489575954711518955967562079545287638692899294423266848220478736298946845124801803219768504289786658592480796545151347709926182101<177>
3×10193+4 = 3(0)1924<194> = 22 × 17 × 31 × 113 × 149 × 12435190193<11> × 97088735084943447683382972193412423<35> × 378454168921924694214638070952252521989485898243793819144313821907<66> × 1849913269539112236966867824190142423738490290315943023505697330897451892663<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3206597909 for P35 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P66 x P76 / February 10, 2023 2023 年 2 月 10 日)
3×10194+4 = 3(0)1934<195> = 22 × 334099 × 887101 × 57005893840021329362772607<26> × 22301426907294053661450459579545419<35> × 199049278547587254005617359847655199782976373421646995021185030637136119348466491270309164836045066969729212246045899507003<123> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2444179215 for P35 x P123 / June 20, 2022 2022 年 6 月 20 日)
3×10195+4 = 3(0)1944<196> = 22 × 127609 × 128033 × 19337429 × 19647857531<11> × 120821466777482676829791253738118460247893239880162416088973944247442002364065431920294705606982481223345629880499017656676324547771101029373119966551730685550768135167<168>
3×10196+4 = 3(0)1954<197> = 22 × 13 × 2011 × 54414445717<11> × 1914489958667874581116486963379680552457761<43> × 913048276161303638623172513639059846851560044048813<51> × 3016093475091402582507882347738032715910385440122635745176583402502416172663249605609647<88> (Bob Backstrom / Msieve 1.54 snfs for P43 x P51 x P88 / July 23, 2022 2022 年 7 月 23 日)
3×10197+4 = 3(0)1964<198> = 22 × 33577094877914565112333782935220133489<38> × 541979244893477323201905297011109491909<39> × 34847180405655737683244614516904895242924589311458328520427<59> × 118268161659602254733306707858699459435968398030694344530203863<63> (Bob Backstrom / GMP-ECM 7.0.4 B1=20510000, sigma=1:3265304518 for P38 x P39 x P59 x P63 / July 23, 2022 2022 年 7 月 23 日)
3×10198+4 = 3(0)1974<199> = 22 × 7 × 1171 × 10986601099<11> × 921048570213481331585191896405314667029939722750266335274634914075193393<72> × 9041915397039545820965795081890095192400061300665744859478619153660214334064030335902706110907318778324374324919<112> (Bob Backstrom / Msieve 1.54 snfs for P72 x P112 / July 27, 2022 2022 年 7 月 27 日)
3×10199+4 = 3(0)1984<200> = 22 × 283 × 305873 × 86643040688299708767324954689444251782411968735632778790532235375778203242600779632563962000950092926971619286458978523142569887345216684367454799105460280236633465477063109138843381717618339<191>
3×10200+4 = 3(0)1994<201> = 22 × 19 × 1483 × 8209 × 27361 × 347834008526971890391603<24> × 34070008972566840547155761063309368585848606414020693537481783658288135465629747204260527987617733312284575822603843225860397405774290433935927429007330072086896379<164>
3×10201+4 = 3(0)2004<202> = 22 × 257 × 2918287937743190661478599221789883268482490272373540856031128404669260700389105058365758754863813229571984435797665369649805447470817120622568093385214007782101167315175097276264591439688715953307393<199>
3×10202+4 = 3(0)2014<203> = 22 × 13 × 61 × 44683 × 211663392328059970391395809725221688476133357984122366953259840605047991287596110349326722737522238414314947620789172000748780416699744951256601816483944245153169367204631285333852012124417773979<195>
3×10203+4 = 3(0)2024<204> = 22 × 47 × 157 × 99612157648509257<17> × 102035525570970123280242925178439878105508901619744328746301765656206048647338975816528998528143785745070392554540148803550599731100505732786453548549578182005753469321470471186568067<183>
3×10204+4 = 3(0)2034<205> = 22 × 7 × 10243 × 126013669 × 10706493594913<14> × 7753024074268143550197817448068175626421355007033577111623558974014751451896569016026162028386190522032302154120634533777694451560944213420152724292880700469724335993984044851033<178>
3×10205+4 = 3(0)2044<206> = 22 × 23 × 29 × 33143605902497<14> × 122059643057170622719719561245868089845248439477996103688758831633<66> × 2779480154854076349209861887940108701489322294503007024636756228836545167242746775352721635126909629433054932856169279011203<124> (Bob Backstrom / Msieve 1.44 snfs for P66 x P124 / October 13, 2023 2023 年 10 月 13 日)
3×10206+4 = 3(0)2054<207> = 22 × 67 × 4507 × 9128704988371<13> × 386607877194841<15> × 1251243885653143<16> × 56244111886731953483894562091185287257764871586540076991620999090356186475995788525916373800934870660584058716777404394531774697374387293528909168833319769173<158>
3×10207+4 = 3(0)2064<208> = 22 × 918511817 × [816538215533921650133761969880023873443535675273734665517101343944930433050705105952926460825272104256444204244788720012733379999617359305024597195791984024087955745919379935424390952609812748876153<198>] Free to factor
3×10208+4 = 3(0)2074<209> = 22 × 13 × 31 × 449263 × 3916453 × 641094262858282539976171<24> × [16498359205763820013517702258224194534108485328020378693335245724278130333595493082010336806119851584762610081396568867745359413141590988392070204458330331083645858905043<170>] Free to factor
3×10209+4 = 3(0)2084<210> = 22 × 17 × 43 × 461 × 13229 × [16823484198763078267905183369742983273491523360413069241690931456448669945085650970182216092742524351946832736605881609545056695645332791923404316620584522721271632420237524631709037740290113614078459<200>] Free to factor
3×10210+4 = 3(0)2094<211> = 22 × 7 × 14560480113645631838052934128674047779075523<44> × [7358470071494838234777247631560746160448627801075114865241018363182901985757484416147660413537786583940602768863449882941704313149620442686016514206351050421887730941<166>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P44 / January 31, 2024 2024 年 1 月 31 日) Free to factor
3×10211+4 = 3(0)2104<212> = 22 × 769 × 1366957 × 6301363 × 1379133000503<13> × 820992937471854157328856609775547547310878058513394253746605197563581084836284071943356248350579230328403067847302817391856108531852122824219947872348020095380567773432948167050783473<183>
3×10212+4 = 3(0)2114<213> = 22 × 109 × 31818421 × 919863391 × 184463633514253213683325963303756419940684657<45> × [127444778726335370922623219005998213608124996703420579543756859109933836336670749573607905569892940430918826376438213313877642397121815875710873349407<150>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1970453634 for P45 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10213+4 = 3(0)2124<214> = 22 × 877 × 11730062744269577951983820477776635227791<41> × [72905674934167451951421674306353307422400132126560292721133894633495226165648005962177326183845157241633627561707782594154428146419075308975075437673933161334079622544843<170>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:250006706 for P41 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10214+4 = 3(0)2134<215> = 22 × 132 × 2062999 × [21511740056515815570398802793076297888392394422767605766650436010990158691561432835739728837518101519758256457521049431250961234177975362122250295170472953474227907151119351490677969191121086082666846325071<206>] Free to factor
3×10215+4 = 3(0)2144<216> = 22 × 111274898209<12> × 10285393610894872618024355269558171739<38> × 65530448657862543111040454579057581680770652578586090544263003566187563927220337418477433806498558874378100682187945566243458755564127993380090348386935975562438312051<167> (Dmitry Domanov / for P38 x P167 / January 27, 2024 2024 年 1 月 27 日)
3×10216+4 = 3(0)2154<217> = 22 × 7 × 185533009 × 1774968571<10> × 3797782505333573893<19> × 85668522779981541333815298823689915756790314920852504986500960349013778638384426074014256999080950693486810517926568896212606103687194823614813489933450143075453363684036971911009<179>
3×10217+4 = 3(0)2164<218> = 22 × 649073994943660853278089433091288420907493<42> × 11554922949348778792784222437195673759335058071136322528091032695589641446156130263794880715433061523188201254873793803191937167291439947354785601792017851336086744991885925357<176> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P42 x P176 / January 31, 2024 2024 年 1 月 31 日)
3×10218+4 = 3(0)2174<219> = 22 × 19 × 97 × 15091 × 13478846031639907<17> × [200062272050104875582449033973957035477360315601709022672621302686250151664375601865697690772290785207875885046791735023183040891490620421703639608524359804493969851947772959489614095232587499411<195>] Free to factor
3×10219+4 = 3(0)2184<220> = 22 × 750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<219>
3×10220+4 = 3(0)2194<221> = 22 × 13 × 2350370461<10> × 245460486547136248695785101139882357922861538601968042295321833915388423134595834644927033516238135245640718200348024592994969177721927183068406966727564282078902061611246961241027559409527876583079248000758857<210>
3×10221+4 = 3(0)2204<222> = 22 × 59 × 20895289 × 60836030584595700097515533488782477983109989001973164738598596010998833115453415912334293572755051247862535190814817766428806358201650953435128002914023152884049118942957648313511549932521445465287187664037005451<212>
3×10222+4 = 3(0)2214<223> = 22 × 72 × 179384341 × 68429684623<11> × 732330335089<12> × [1702664539444640652875850183921329799124755346764197206229577502076028000049415258262992153906084184205037726950243586365520133158905645681824176383872712152034075508220793316969216065507987<190>] Free to factor
3×10223+4 = 3(0)2224<224> = 22 × 31 × 65099 × 3716423967664138342147865112639855227943147632712261077297158818652880550665016904773820914943938983255775694488146837397531997171553599009746445735998124940227514520068441663788502771708995083914375573877801006804029<217>
3×10224+4 = 3(0)2234<225> = 22 × 139 × 335539 × 4751713 × 270226711 × 1212006335079224300682725023<28> × [1033284917868646046311445216885638640356782149948953463945569786249991724756345268386485661154669477005914003075194306668116383446652986416647498069493756023531695034967895529<175>] Free to factor
3×10225+4 = 3(0)2244<226> = 22 × 17 × 3011 × 1052323703<10> × 11946446791497802289924474587<29> × 1165503227839062112562986065367349926074334107271856444772719958757961363923401969508374002796993370974950268432999066695196213380316042998344981704563298086603257899654222493529736743<184>
3×10226+4 = 3(0)2254<227> = 22 × 13 × 3162703 × 5038903 × 19406655252293495581800866796705716131<38> × 3321019369513434591269638760198939869237<40> × 561696092735433499052479402713343674733501713399223545842250987969600347544743396266665534647313255075874809149782580694853695233287699<135> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:948974330 for P38 x P40 x P135 / September 7, 2022 2022 年 9 月 7 日)
3×10227+4 = 3(0)2264<228> = 22 × 23 × 89393 × 217760761 × [167513683868190920371526245694868177543464745222084884936536809089983767669362989786161457458746747880165561261381753830189153855583939704817784654149048270417871705176516637987046183293733508074740293198388659919<213>] Free to factor
3×10228+4 = 3(0)2274<229> = 22 × 7 × 878011886023<12> × 5181324871441<13> × [23551686112799718428815173998324623453064212134653645257424752775382713741267047108296813615553331851471977331150257418625727587339531732037805314713739870871198749755407922079475809000493966894517616001<203>] Free to factor
3×10229+4 = 3(0)2284<230> = 22 × 523 × 655367671471<12> × 124579970928464397543513515158709<33> × [175641175496118817455730436298223193536981204516120088142360916486629764601925158657797316851814299956471595544169024429268923811233106665918552208879992910561399506914607956951685433<183>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1795078166 for P33 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10230+4 = 3(0)2294<231> = 22 × 43 × 601 × 48805123 × 59469272263<11> × 268537092349<12> × 256063802214307951<18> × 36790681284244299604942232077327<32> × 395248288472166748918886637437154959431309449237673878376469084420320394388693891242946758430202086891595670511252319662100551775545224118754485691<147> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1185251490 for P32 x P147 / June 20, 2022 2022 年 6 月 20 日)
3×10231+4 = 3(0)2304<232> = 22 × 45392663 × 354855943734283<15> × 46561130639978150985324804494144376210222578320406530531596000533469631315904837288406197785902741200799118105695843609068420443383167759424686407255225035869912924766521542507133941628065101148488066682480469<209>
3×10232+4 = 3(0)2314<233> = 22 × 13 × 223 × 60515987348901617453989<23> × 23041020834420217561504215372476077399<38> × 1855415618124206774673252034899877329365463696930956220165831990027688069558485681959697699447880432065781380464116833144272852186601100123656977995986659948347794979609<169> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:544132267 for P38 x P169 / September 7, 2022 2022 年 9 月 7 日)
3×10233+4 = 3(0)2324<234> = 22 × 29 × 22380195255373<14> × 6261430977294640288502359<25> × [18455499196885969992608418360736267685830866727870622018690711225605661190079964825995625260496937885829015097877283150721737277143478277258266958315972841475100438976667021281780016689845511967<194>] Free to factor
3×10234+4 = 3(0)2334<235> = 22 × 7 × 6091 × 705169 × 189976203563930266422829280348008483543<39> × [131305285189094188647423048942539363845651351958569205531702405249382888536157360692548948696078949475142333413358983071793926855279255394885107545769131618865495016920795555085090288019<186>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P39 / January 31, 2024 2024 年 1 月 31 日) Free to factor
3×10235+4 = 3(0)2344<236> = 22 × 131 × 192263 × 195021197531<12> × 12872132502025237267703<23> × [118621096064921842563161550967177989669596360558185434623532347674065704172119088380737576236949699869788581218347673367878742461809111698364624732788708677016644176542031468203608286648743256369<195>] Free to factor
3×10236+4 = 3(0)2354<237> = 22 × 19 × 338011452061<12> × [11678209116832706670602904052333275476580712469414225995849101098816724150279820246698512877305586485090424697672233053496144156334986033302201343509314409556050781274858472531472726915029449093383920473416391536205048649239<224>] Free to factor
3×10237+4 = 3(0)2364<238> = 22 × 821 × 1019 × 2297 × 198255523 × 27974163953<11> × 4114951455254501<16> × 17101562830339991522927487879889929649484849705364794355932947495085949537405109707149029338039270708759769384948840427098407383394764020743458122738469450679443790486275070700921687234922600993<194>
3×10238+4 = 3(0)2374<239> = 22 × 13 × 31 × 349 × 134023725443917<15> × 190733750766931<15> × 2086034829009565055840822612802475503818482118830953824512801538868075453429489129105480167784093938015765375085098087120811791494383106859824051119293063040154540753980992658115937136584911145681709133729<205>
3×10239+4 = 3(0)2384<240> = 22 × 67 × 432807637 × [2586375307131253013614549022028407782931485274662252948281018998692297573725748806196947125013519057011008761554331966817031444952936723256075711591165087601702935699629077906207618202614206160703158108559403896625016511993273919<229>] Free to factor
3×10240+4 = 3(0)2394<241> = 22 × 7 × [107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<240>] Free to factor
3×10241+4 = 3(0)2404<242> = 22 × 17 × 91159 × 86214851 × 49862419131898127<17> × 1125789937855725628282988655924657480371639713297568462458539270224960285227882136726343840935728764312403997685885566490437836258236273013736598027276080070336108743642592634113090599980722818848483863247790771<211>
3×10242+4 = 3(0)2414<243> = 22 × 3967 × 5413 × 55339 × 3674761 × 142870385651087839<18> × 77052114730318108235065722241<29> × [1560176925711502708700225914966825869560803339700294640085027422434763348838345729055941133247146257982324157544144216194284546428181025649124975483377906064759134202656786062511<178>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:78816902 for P29 / June 20, 2022 2022 年 6 月 20 日) Free to factor
3×10243+4 = 3(0)2424<244> = 22 × 113712394203319237691<21> × [6595587097207629445134619771227609536044642713961338779420326306052995916899180850324222045749331453400140375391220493370902677448960829199730221553435923360305563882227065087027282383460965323404614840756834561286740999411<223>] Free to factor
3×10244+4 = 3(0)2434<245> = 22 × 13 × 643 × 1597 × 561826243922631881781570496121788348367928470979389741337444602995972155292069867513131564799203674972880647205854559066403592152201276424280092705824857185641549013384424064051787495141139367142438609059051159373400433864698606813244387<237>
3×10245+4 = 3(0)2444<246> = 22 × 308437 × 2817877 × 58264563623466130076508802003<29> × 25297118133366790516388667038572823<35> × 149761016467730471866444813894378662279887<42> × 23552412095116877281564274504507167725395551<44> × 16598278344067662364216783622416999368032483196503730672608067950707354023251700394933<86> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:4070225085 for P35 / September 7, 2022 2022 年 9 月 7 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P44 / February 3, 2024 2024 年 2 月 3 日) (Bob Backstrom / for P42 x P86 / February 9, 2024 2024 年 2 月 9 日)
3×10246+4 = 3(0)2454<247> = 22 × 7 × 246639390539351779<18> × 10285998320824416031<20> × 77592281704977116743911796221505321813<38> × [544296839637958452364543023360276376414613108071657542417049811945038285108933647741168911166475476038331592957769857253950344588925362582827817207467396076891991965072439<171>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:235550671 for P38 / September 7, 2022 2022 年 9 月 7 日) Free to factor
3×10247+4 = 3(0)2464<248> = 22 × 353239343459<12> × 13399706013833198468211732544859<32> × [1584517077757823794187585193685611922216446260237706748732026356021828890286296194397966123643914008050099663827710978504240403603646958158623091880135439140409697333767516859557962822692014978456047879121<205>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:694203616 for P32 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10248+4 = 3(0)2474<249> = 22 × 3023727829<10> × [24803819735589039353316743244485977180190181726835573599504679493426721377044944345088408418388770267854686599836826782070801253984159432095500285849305519620562383625831291709158655231598227288729960622391718576864015759270243499154566269<239>] Free to factor
3×10249+4 = 3(0)2484<250> = 22 × 23 × 47 × 409 × 1696337494260724811084547722497280205550868637886227775151596027403766773950589081467173607702729293939099222172714298315649957365384310913783081408367241235024167154834901126141917856553177918661748041861085791703326404737078997306216059113969<244>
3×10250+4 = 3(0)2494<251> = 22 × 13 × 1789 × 1397623243<10> × 5879246977<10> × 39246031805118132433933623797861651223852629495500526336166115153374551245646209739767426091413389506048796824131182622670140618201543226506417245864841356624696884413043773216979398585057582481643576426109902195096125231921563<227>
3×10251+4 = 3(0)2504<252> = 22 × 43 × 4289531 × 1089991328189<13> × 56082305548582387709<20> × [6651722075001066957600892200880128799599867288496836225981505179133303786467901322611791867433254671137133328139014765473778425307864635687626384270162610663579222440753885412924672759567495680263673608574188497<211>] Free to factor
3×10252+4 = 3(0)2514<253> = 22 × 7 × 163 × 81463 × 360627934372717985767<21> × 142805931914944362261640988294212639213<39> × [156678572993665982366973384606570110279125595154164082623937674522540597405336215278723294031281527576579857454345462441872211212415276370058732672441250277899392669060083792148508099857<186>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P39 / January 31, 2024 2024 年 1 月 31 日) Free to factor
3×10253+4 = 3(0)2524<254> = 22 × 31 × 751 × 49109 × 3263575196699<13> × 115265827240999<15> × [17438308100654892998126795510451297698025531017168865519169908890061199158106968497653932500258036569440316071246853265808692560395064329931959545339526234988317473609150075430106292387429107595247567012561259278870769<218>] Free to factor
3×10254+4 = 3(0)2534<255> = 22 × 19 × 6577 × 32413 × 304687 × 3728821 × 405829108068305034469<21> × 2272230326448154734665953995795187741<37> × [17674192687271158362516771540132707169627278099737105262632332380133667548544267255379289357391494588844037790477728253786422191264088874304406186090103674654033039802332639413<176>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:291692161 for P37 / September 7, 2022 2022 年 9 月 7 日) Free to factor
3×10255+4 = 3(0)2544<256> = 22 × 631 × 2793067 × 10775057 × 1829467999<10> × [21587689207098012092178963364686947889216867740478010376394853129682339809119739400352952180628832873562442691847256076693687047826495902768526988465755223947306814747283254843006380084035853112251591155559213131955492105012476891<230>] Free to factor
3×10256+4 = 3(0)2554<257> = 22 × 13 × 6070969831<10> × [95029804624815129159043761507876437852277490081152228851674403407701092078927690016892940655583876664973155765452044942484070643856091486987480481341083594503028436631194473658869855273882503844207140966613860130204141830313260055619452298852467<245>] Free to factor
3×10257+4 = 3(0)2564<258> = 22 × 172 × 33096917163581<14> × 12558664324626461<17> × 624356194849514971867619735353828443200213293242947548536431062958999930869092486981352115652856453540857463538933374583043893598047985862980732755301036408169277127239875127065302878830254388222789667293163383496490192155449<225>
3×10258+4 = 3(0)2574<259> = 22 × 7 × 4003 × 17548501 × 3690466327<10> × 219442525924434318043<21> × [1883369650963598913523665486412620183288615357965536737620688819068529018567274371739262169591904766796446861144248651424385621321405353038696685946248573560242846891292876082553302995243404913613682679551338370280621<217>] Free to factor
3×10259+4 = 3(0)2584<260> = 22 × 277 × 8763977 × 733678441 × 470091378246277<15> × 1407647928524340637<19> × 6363531173838209172993315470538095742362500188809701150044225584119601446481659935879529292214582938057407864960989613771707178789650462223903549443743673005582015355581279396799076526900388495991684338282941<208>
3×10260+4 = 3(0)2594<261> = 22 × 27898649707<11> × 681964377603748152883<21> × 20116312962791787042371491097899<32> × 195960259520478535133414142891115737012948580517255808217935251555677994683894961601187578412574255215268407692626384784399137571495570043962760240318768178281072694774508611550416017040037341112979<198> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3073910352 for P32 x P198 / June 21, 2022 2022 年 6 月 21 日)
3×10261+4 = 3(0)2604<262> = 22 × 29 × 5139383 × 11377454069<11> × [442290071981467202265612566191896475576592406199823007691569843937171319563076494611068829352773332557411952644974401585429531983403963881709150403044792814954033924273460981240891253554649158976816233923859604124617546334356355335286648207047<243>] Free to factor
3×10262+4 = 3(0)2614<263> = 22 × 13 × 61 × 151 × 62634141452945057331117476595709143749530243939102912070016618925532181421878523170456728159474875358058508639335911076221574538803938434814561185204980666928338190958970461738890791110962644998037463567807721536958319066667780162514719023241442088472812607<257>
3×10263+4 = 3(0)2624<264> = 22 × 269 × [278810408921933085501858736059479553903345724907063197026022304832713754646840148698884758364312267657992565055762081784386617100371747211895910780669144981412639405204460966542750929368029739776951672862453531598513011152416356877323420074349442379182156133829<261>] Free to factor
3×10264+4 = 3(0)2634<265> = 22 × 72 × 134922835561<12> × 35877161445457<14> × 94541561145774362593<20> × 33445591356821737795458950369404219240377901656823670781011353665824250462495440627312735662353350112244232924927688348691035122060575064190655386159804922148617046030810001575781826998903651585419610148527700486188409<218>
3×10265+4 = 3(0)2644<266> = 22 × 199 × 37688442211055276381909547738693467336683417085427135678391959798994974874371859296482412060301507537688442211055276381909547738693467336683417085427135678391959798994974874371859296482412060301507537688442211055276381909547738693467336683417085427135678391959799<263>
3×10266+4 = 3(0)2654<267> = 22 × 21273121 × 116313157867<12> × 30311065721278778575095519395510261710256858533119859863399313410975726139195444008953354504374299353777914677043155400559584257832240250032471506281184966740787818162766539803188243045106218112991148627561529066344479695896026497879558470204915043<248>
3×10267+4 = 3(0)2664<268> = 22 × 439 × 2719 × 7744670279773333061<19> × 16011335106723434062969932333163026752401<41> × [5067071768279689113955250039506989663400853148066069845408801100453863654114639058271124306116162398816177757642959747458524220060566545229729761965943140206342376369518728624793009164130015568094992501<202>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P41 / August 18, 2023 2023 年 8 月 18 日) Free to factor
3×10268+4 = 3(0)2674<269> = 22 × 13 × 31 × 202357 × 4901851 × 27377443 × 6090697387632620311453<22> × 13945757429499045433903<23> × 110575559650495445458076234569<30> × 43271450404186326472433249158010046432656420197<47> × 1686224005488925919078591789432463201418597435271346724855816905336927864668317295812297655709028416113326667854255525516158841<127> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2659091033 for P23 x P30 / June 21, 2022 2022 年 6 月 21 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1383161736 for P47 x P127 / June 22, 2022 2022 年 6 月 22 日)
3×10269+4 = 3(0)2684<270> = 22 × 48187 × 407856648478244884043477002855525817<36> × [3816135863088463277521301781491058113328293223601568798493039219657963591438024300386658723392905225280555013232263783271713548338736429184170714960257307017809563954327002438260977703034930690906563057254919769232646346787255819<229>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1426973634 for P36 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10270+4 = 3(0)2694<271> = 22 × 7 × 139 × 1169374459075729<16> × [659166031811834362360556154429406007596040611303434916119170324948033245567995169704488635260784610595531400664740419420269329496892488736407950434268567262481435290380113431002821960829068650848939450940761391734642965642834787441781565516611374073653<252>] Free to factor
3×10271+4 = 3(0)2704<272> = 22 × 23 × 99228049442083244315121631<26> × [3286237695441825208547755733649208047286283926720193283944251107442278281175197668020181419361514473998518365255239471483350830685563567998563919353801567452352580831561574809834689314346945433564780762850336935038629429274496250306423846795577<244>] Free to factor
3×10272+4 = 3(0)2714<273> = 22 × 19 × 43 × 67 × 19105624302703<14> × 217301469144542261471691355941159117499<39> × [330020188635207939864950848905427657757608698993540159601075223771854331989735768168921778390159742613317252501401118483265393031518348013490465384087053979093028212998616567130574179398245248030735117530470830025647<216>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:913587550 for P39 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10273+4 = 3(0)2724<274> = 22 × 17 × 389 × 29153 × 787707134093513<15> × 227613258630306801341<21> × [21697872497967412881069554924374354873545105681953274736863513027408271052089679556547351945783033067530047660184152325009929789449437278328103619481939569456640279018417191024993043168200448747714032567387481375994498628199210073<230>] Free to factor
3×10274+4 = 3(0)2734<275> = 22 × 13 × 253848841 × 578155717 × 4482471673<10> × 11631523776259<14> × 1347034624949107<16> × 114088829013917539<18> × 510452184737236335457<21> × [961096036969443678780627777203399934805799370786909331674982340021673106815634990919431461936170905158502705386037503494771260580156719595149625271264942064755639225042811172512483<180>] Free to factor
3×10275+4 = 3(0)2744<276> = 22 × 4937 × 2148765581<10> × 2194980728579<13> × 5909633471388659<16> × [545026777479065341679023970353946880652050604902100253484580107031927568446837103372371027144152758827313481737657045498530963495272471326547329887787030757739022020360983771334847874075565040971275975431235252147343922154864408206053<234>] Free to factor
3×10276+4 = 3(0)2754<277> = 22 × 7 × 287047 × 202252345729747<15> × 2787336601239867587307201697<28> × [662105546680506526584453813918349602681427402629712951210717408194709031766963523743063048893150512597407575895099220804271377345874511854684478970561605641802575058298514734540773040999488609425044879147269588331942892610997291<228>] Free to factor
3×10277+4 = 3(0)2764<278> = 22 × 167 × 1367919719189<13> × 1902541885325241623366782381729<31> × 17256390316062547281981029693301784672885609685402469799643558101689298238042874395833620519238736391861112284846089559895452165173345982141028495556265117917273396840218561240766629085153114952273557324675016698457383133748283134363<233> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2198305174 for P31 x P233 / June 7, 2022 2022 年 6 月 7 日)
3×10278+4 = 3(0)2774<279> = 22 × 8709876367<10> × 83186802884513283421<20> × 7535442642823884919255636773727<31> × 293141417578637337286641813410797036808650351<45> × 46860712477964550533628910421036673354089607120888691642084577527360293185020445468793331651687795247952461868311637252891392368018729232621948496094655067446336263758575659<173> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P31 / August 19, 2023 2023 年 8 月 19 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P45 x P173 / January 31, 2024 2024 年 1 月 31 日)
3×10279+4 = 3(0)2784<280> = 22 × 59 × 8311 × 203730051299<12> × 444188981682310504249<21> × 16901805256409666834048989833468276704386152937389702914029826135950618967805841118703798643761954091398718337036642748867420185097734449928169983316932421682352422504117955022615940652410121793908347499251163896055259580015462076294931611599<242>
3×10280+4 = 3(0)2794<281> = 22 × 13 × 13174957 × [43789370767819350232180877472547115188074092152488765092510212892768980048809501004297541394398712415006509932208740941095817092755830392697063305551819024766222999962965869495962914863636892558884486448272804463568501735761029282822181273386844683965425991377195620215161<272>] Free to factor
3×10281+4 = 3(0)2804<282> = 22 × 157 × 997 × 47653 × 74719 × 14532989 × 6253566821<10> × 3026444644319500642571<22> × 489248700174647850989376069819765441357509153582910557746616950560489350551737393122769996547175467763951805516786721336408224493644239858476785745880706143601111856286855518248531459765108126028660770610828063884962578894679033<228>
3×10282+4 = 3(0)2814<283> = 22 × 7 × 571 × 1123 × 105751 × 521659 × 61279321 × 141555763 × 276054524571247<15> × 9430610838475346959063<22> × [134121986941140499685192623705454048304430652884118682797962863543262491019391992234019523316382336604967374796371541304129174069623485535358261168380046521461080588989183286692615709199774329059331846775335359873<213>] Free to factor
3×10283+4 = 3(0)2824<284> = 22 × 31 × 503290847 × 1499720839<10> × 48056119402877219<17> × [6669932105007103238313228711712402931445671509061532469789008910869091682863581188918013524048753726862706422999734429451105813552838843735642203868003482228030545312002052636325198919395723421967780815165950036081797456673580829314347039072369373<247>] Free to factor
3×10284+4 = 3(0)2834<285> = 22 × 433 × 85566510935607307<17> × 187456559893251637<18> × 1288048036779241148840471770420178753023<40> × [8383721455341209473213730165399584108251863924421031007373795775527771591224831783489235197509919485365933764070891837426753487291194746439462968488604139637297828341183336339027119729402094614039626196767321<208>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P40 / January 31, 2024 2024 年 1 月 31 日) Free to factor
3×10285+4 = 3(0)2844<286> = 22 × 1847 × 81737 × 977923 × 581239108727825083<18> × 9520705414162054421601605672759345293<37> × [918009251510141779305124820247401790279342266933447924942542234955036726748379301401357942754481916970631255711391462010682420075806984870920121407296080427928938462002213420915337492006514867426340984962184669589307<216>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1913395856 for P37 / September 2, 2022 2022 年 9 月 2 日) Free to factor
3×10286+4 = 3(0)2854<287> = 22 × 13 × 26029 × [22164627028432783552073574740599981677241656495565596952511547770681813480230630332439852590453842903034189676012258516388525224823200158403201163199626452152480812821202386687038421642132887282528067806027005381571442503479846443463947017675551234274197123326940069803798721544313<281>] Free to factor
3×10287+4 = 3(0)2864<288> = 22 × 15307 × 609233527433<12> × 8042431780498867298902891942936303274096971207669527906545251014184445290603652048770756181667310539582406958617778738017786335546849436663760679155623036644715773290090955696326318491844341256797836719705111076898792840211414518503700704543932217203013038941291536360971<271>
3×10288+4 = 3(0)2874<289> = 22 × 7 × 181 × 186417469918314301<18> × [3175397065717584384227730984327753446915634546442960404735968748804871693325304992293682066418105879173933667306322371810978917673231553183210150414538844589682737037512804361577127066873954163098046520309072199127216873228051436088064998838012746749026875147425855703<268>] Free to factor
3×10289+4 = 3(0)2884<290> = 22 × 17 × 292 × 1678566367777010903<19> × [312520009613076798072342016747407305168882310933085100727514562877661506401725741398941851660450586113083957725561212161083329350270464545572665625890855238609795115679044591325920716236716726552419872890212599709433910866859798133227709431729088591256339398383006911<267>] Free to factor
3×10290+4 = 3(0)2894<291> = 22 × 19 × 1069 × 53716357 × 3366917233<10> × 702336207117522945926105203443170041<36> × [29070058605511398623042895607219693217057159855776394754162192649664055011881888803527337395693018186971383481555974646882719600458198308728911100324724532905230775713975470082817687806865348296090988075636953283145039590330368059971<233>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1641652521 for P36 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10291+4 = 3(0)2904<292> = 22 × [750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<291>] Free to factor
3×10292+4 = 3(0)2914<293> = 22 × 132 × 487 × 82393 × 182988073 × [6044111920007962938102566071970889961009081679308648259356369188379855522551384321992977113932791385882523812741592807837057428931622291386052372490067689727725371120791000494780083536202438567599099683205844326137019232984041671181454147410593869929884229531276409495863103<274>] Free to factor
3×10293+4 = 3(0)2924<294> = 22 × 23 × 43 × 509 × 1367 × [108987997946671931377924635342906692786856196252577894931899263637414241031843027719599056057565495825122462147803486333363533665368805132913864298843218682556364992301153217845862770622230514158276965552150410435649048747595156211240462055227627704154439527207914210844347356450407503<285>] Free to factor
3×10294+4 = 3(0)2934<295> = 22 × 7 × 191366527835779<15> × 61421284242635860500075241687<29> × 9115455044051435939223136017212486104181804056925660096743390672966392784368883799140447782635780450284754470204941319895815625306343345394540005414289390958691117258957762460857706077215878846775480487469155392577087824991806577116845890261796138891<250>
3×10295+4 = 3(0)2944<296> = 22 × 47 × 743 × 991 × 168861930462024637<18> × 94724033661943928663<20> × 13549054941408337935484000024088200116094000191219405731274978361533972001979097073911633986648650338081174527154422106036412832486321317358630967260087340603731502648366996136156524471734626822658511045594089329581629173137183493759376739751344860261<251>
3×10296+4 = 3(0)2954<297> = 22 × 474846632563<12> × 2507164223698987<16> × 360013564760222222953513<24> × [174987188853810142008201770642463000981063977612083141188402759435379681584816945599120084544083227248600855408522829620003993182358720496812720604733075444461318465052250792564115317149726162468952262564448011410091248889014321880745784721619017<246>] Free to factor
3×10297+4 = 3(0)2964<298> = 22 × 4072475076559<13> × 23931071442491<14> × 973453785852679<15> × [7905427251817975541104492980874621454796522820669416352682180254664460294367392767120663078187762055236430369721602373723439337859615929863075727661987662453626921804457545957980735809162522510294994531736498717473917738573764967009068640458969059642549051<256>] Free to factor
3×10298+4 = 3(0)2974<299> = 22 × 13 × 31 × 74739913 × 8227007881861<13> × 530944699233586295722491481<27> × 1751317209459525458706890434806148987<37> × 32549746549027594864025618737053223196031297050286246475660919742646877934778262892405292582015283167721955860350869778223392940592865418512164362323373889717530126488426524725336263825514815266815053904993724877<212> (Dmitry Domanov / for P37 x P212 / January 27, 2024 2024 年 1 月 27 日)
3×10299+4 = 3(0)2984<300> = 22 × 2265790433405174653<19> × 38127726564854815744681349<26> × [868161683315983045679357522470261183890078010213844477685585430853512747218776292870274753255306190529472529545393685417628559908104673904284824768860349519778931051825830204019164896831887322744358967835553566713845175044610101226711109256694083273609233<255>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:611881271 for P26 / June 23, 2022 2022 年 6 月 23 日) Free to factor
3×10300+4 = 3(0)2994<301> = 22 × 7 × 499 × 1297 × 205213 × 82672635151<11> × 43664514436441<14> × 52208661636906703<17> × 37000315818911104456249<23> × [115685632454117595038415019679660338457421377001869123456104459836679420012643515279938023872852486737353507103948471849320592466972601252009884718256375645703588710489289032684442137632403612495391104245587560882092704278481<225>] Free to factor
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