## 1. About 300...002 300...002 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

30w2 = { 32, 302, 3002, 30002, 300002, 3000002, 30000002, 300000002, 3000000002, 30000000002, … }

3×10n+2 (1≤n)

## 2. Prime numbers of the form 300...002 300...002 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...002 exists. 300...002 の形の素数は存在しません。

## 3. Factor table of 300...002 300...002 の素因数分解表

### 3.1. Last updated 最終更新日

October 23, 2022 2022 年 10 月 23 日

### 3.2. Range of factorization 分解範囲

• n≤100 / Completed 終了 / June 7, 2022 2022 年 6 月 7 日
• n≤150 / Completed 終了 / June 19, 2022 2022 年 6 月 19 日
• n≤200 / Completed 終了 / October 23, 2022 2022 年 10 月 23 日
• n≤300 / Remaining 64 残り 64

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

n=205, 211, 212, 213, 214, 215, 224, 225, 227, 228, 229, 230, 231, 232, 234, 237, 239, 240, 242, 244, 245, 246, 247, 248, 249, 250, 251, 255, 256, 257, 258, 260, 261, 263, 264, 265, 266, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 282, 283, 284, 287, 288, 290, 291, 292, 293, 294, 295, 296, 298, 299, 300 (64/300)

### 3.4. Factor table 素因数分解表

3×101+2 = 32 = 25
3×102+2 = 302 = 2 × 151
3×103+2 = 3002 = 2 × 19 × 79
3×104+2 = 30002 = 2 × 7 × 2143
3×105+2 = 300002 = 2 × 150001
3×106+2 = 3000002 = 2 × 557 × 2693
3×107+2 = 30000002 = 2 × 17 × 31 × 28463
3×108+2 = 300000002 = 2 × 150000001
3×109+2 = 3000000002<10> = 2 × 1500000001<10>
3×1010+2 = 30000000002<11> = 2 × 72 × 306122449
3×1011+2 = 300000000002<12> = 2 × 109 × 8783 × 156683
3×1012+2 = 3000000000002<13> = 2 × 51563 × 29090627
3×1013+2 = 30000000000002<14> = 2 × 1375951 × 10901551
3×1014+2 = 300000000000002<15> = 2 × 6299 × 7853 × 3032383
3×1015+2 = 3000000000000002<16> = 2 × 3631 × 413109336271<12>
3×1016+2 = 30000000000000002<17> = 2 × 7 × 79 × 937 × 21313 × 1358257
3×1017+2 = 300000000000000002<18> = 2 × 64145509 × 2338433389<10>
3×1018+2 = 3000000000000000002<19> = 2 × 491 × 4139 × 76777 × 9613537
3×1019+2 = 30000000000000000002<20> = 2 × 15000000000000000001<20>
3×1020+2 = 300000000000000000002<21> = 2 × 150000000000000000001<21>
3×1021+2 = 3000000000000000000002<22> = 2 × 19 × 23 × 211 × 16267745398939343<17>
3×1022+2 = 30000000000000000000002<23> = 2 × 7 × 312 × 59 × 131 × 463 × 10973 × 56785853
3×1023+2 = 300000000000000000000002<24> = 2 × 17 × 173 × 991 × 1223 × 244939 × 171805943
3×1024+2 = 3000000000000000000000002<25> = 2 × 170473 × 555941 × 15827304257957<14>
3×1025+2 = 30000000000000000000000002<26> = 2 × 167 × 797 × 1193 × 5087 × 9173 × 2024430593<10>
3×1026+2 = 300000000000000000000000002<27> = 2 × 29 × 241 × 433 × 653 × 191119 × 397165280839<12>
3×1027+2 = 3000000000000000000000000002<28> = 2 × 443 × 3386004514672686230248307<25>
3×1028+2 = 30000000000000000000000000002<29> = 2 × 7 × 8237 × 564607 × 460763315683848077<18>
3×1029+2 = 300000000000000000000000000002<30> = 2 × 79 × 113 × 9871 × 38567 × 44137600000433959<17>
3×1030+2 = 3000000000000000000000000000002<31> = 2 × 252899216137<12> × 5931216485809206073<19>
3×1031+2 = 30000000000000000000000000000002<32> = 2 × 370613 × 430792585261<12> × 93951212727857<14>
3×1032+2 = 300000000000000000000000000000002<33> = 2 × 1489 × 14593 × 112303 × 61469633100551619871<20>
3×1033+2 = 3000000000000000000000000000000002<34> = 2 × 1270972201<10> × 1180198905074242453867801<25>
3×1034+2 = 30000000000000000000000000000000002<35> = 2 × 7 × 12714631 × 40763819 × 4134420008424441587<19>
3×1035+2 = 300000000000000000000000000000000002<36> = 2 × 47 × 61 × 107 × 331 × 23011 × 1801400417<10> × 35637402594257<14>
3×1036+2 = 3000000000000000000000000000000000002<37> = 2 × 97 × 231241 × 66873597354159495402150396313<29>
3×1037+2 = 30000000000000000000000000000000000002<38> = 2 × 31 × 83 × 5829770695685969685192382432957637<34>
3×1038+2 = 300000000000000000000000000000000000002<39> = 2 × 631 × 673 × 23738633259149<14> × 14879595480335174723<20>
3×1039+2 = 3000000000000000000000000000000000000002<40> = 2 × 17 × 19 × 519229 × 8943958924284301574625110831303<31>
3×1040+2 = 30000000000000000000000000000000000000002<41> = 2 × 7 × 367 × 461 × 160829 × 78752050006800606765147097441<29>
3×1041+2 = 300000000000000000000000000000000000000002<42> = 2 × 54967712599<11> × 2728874695846973896014857527399<31>
3×1042+2 = 3000000000000000000000000000000000000000002<43> = 2 × 79 × 18987341772151898734177215189873417721519<41>
3×1043+2 = 30000000000000000000000000000000000000000002<44> = 2 × 23 × 652173913043478260869565217391304347826087<42>
3×1044+2 = 300000000000000000000000000000000000000000002<45> = 2 × 35671 × 29062279293080221043<20> × 144692593951246867517<21>
3×1045+2 = 3000000000000000000000000000000000000000000002<46> = 2 × 346763 × 10384967 × 606697129 × 686564663055163970108989<24>
3×1046+2 = 30000000000000000000000000000000000000000000002<47> = 2 × 7 × 3559 × 21176681551<11> × 191948630983<12> × 148122934093061916169<21>
3×1047+2 = 300000000000000000000000000000000000000000000002<48> = 2 × 197 × 2731 × 2796602606717<13> × 99694815650516981941384318579<29>
3×1048+2 = 3000000000000000000000000000000000000000000000002<49> = 2 × 782839 × 3554248510081<13> × 539102090008040808666484602439<30>
3×1049+2 = 30000000000000000000000000000000000000000000000002<50> = 2 × 797333 × 6947903 × 67549917289<11> × 40084175212942744852446091<26>
3×1050+2 = 300000000000000000000000000000000000000000000000002<51> = 2 × 2069 × 8208480193733<13> × 8832182081910425394013143373375513<34>
3×1051+2 = 3(0)502<52> = 2 × 211 × 7109004739336492890995260663507109004739336492891<49>
3×1052+2 = 3(0)512<53> = 2 × 72 × 31 × 1709 × 525649 × 10992477362628803292438565177031720415419<41>
3×1053+2 = 3(0)522<54> = 2 × 953 × 86531903 × 143397869089<12> × 9001569713809<13> × 1409162757101396839<19>
3×1054+2 = 3(0)532<55> = 2 × 29 × 1019876047<10> × 50716102298100626691765700087250322286570427<44>
3×1055+2 = 3(0)542<56> = 2 × 17 × 79 × 269057 × 1861879 × 1136073437<10> × 673027149218659<15> × 29159529232646543<17>
3×1056+2 = 3(0)552<57> = 2 × 241 × 563 × 587 × 1201 × 27539 × 323481577 × 62007624009673<14> × 2838846463792412699<19>
3×1057+2 = 3(0)562<58> = 2 × 19 × 293 × 14957 × 4621301941<10> × 956694218415109<15> × 4074628793731615342381891<25>
3×1058+2 = 3(0)572<59> = 2 × 7 × 115657 × 284400899 × 113563005362021<15> × 573658527519319016444182280881<30>
3×1059+2 = 3(0)582<60> = 2 × 11719 × 24571 × 94309 × 7180759 × 769226755836718936377595094407252293079<39>
3×1060+2 = 3(0)592<61> = 2 × 281941763479303<15> × 5320247633728492179468397921964680595434038967<46>
3×1061+2 = 3(0)602<62> = 2 × 67043 × 119087 × 4807349689<10> × 58746581717<11> × 6652504073631247944914436566297<31>
3×1062+2 = 3(0)612<63> = 2 × 313 × 32939 × 34537 × 1289791145493611983<19> × 326612280145133124106383364364333<33>
3×1063+2 = 3(0)622<64> = 2 × 3034489 × 2662079411591843<16> × 3416140483113047<16> × 54356184350334699151105429<26>
3×1064+2 = 3(0)632<65> = 2 × 7 × 1163 × 1842525488269254391352413708389632723252671661957990418867461<61>
3×1065+2 = 3(0)642<66> = 2 × 23 × 6044903 × 131308789 × 8216375722380858658860422488915300995566366056861<49>
3×1066+2 = 3(0)652<67> = 2 × 173 × 1063 × 6823806080353<13> × 1195322831457017431471574647071537414314798325683<49>
3×1067+2 = 3(0)662<68> = 2 × 31 × 8431470713<10> × 57388679177392225838473091774526794939688707127680319767<56>
3×1068+2 = 3(0)672<69> = 2 × 79 × 22901 × 102679 × 5082919 × 2385722688289<13> × 130522801718157581<18> × 510162524943322947391<21>
3×1069+2 = 3(0)682<70> = 2 × 199 × 28563083 × 263896178231567484377716143167692838596473756599924004550853<60>
3×1070+2 = 3(0)692<71> = 2 × 7 × 2142857142857142857142857142857142857142857142857142857142857142857143<70>
3×1071+2 = 3(0)702<72> = 2 × 17 × 67939 × 439141 × 8641909 × 34222325063964481266950064645030854544533511560802083<53>
3×1072+2 = 3(0)712<73> = 2 × 1399 × 109423 × 21993744433<11> × 448046921012623869664829<24> × 994356817446518814566311283309<30>
3×1073+2 = 3(0)722<74> = 2 × 683 × 3012272926577<13> × 1415816177065569743<19> × 5149551035073334969352352757955130867677<40>
3×1074+2 = 3(0)732<75> = 2 × 150000000000000000000000000000000000000000000000000000000000000000000000001<75>
3×1075+2 = 3(0)742<76> = 2 × 192 × 617 × 327473673125003<15> × 20564705854624467531608441603286788676558189540492859891<56>
3×1076+2 = 3(0)752<77> = 2 × 7 × 149 × 347 × 1283 × 19022429 × 876793802797873<15> × 1936811593708732372975177225199490264023848471<46>
3×1077+2 = 3(0)762<78> = 2 × 151 × 1973 × 31253 × 16109999040800991111284508639453584901749882798870928225545610894079<68>
3×1078+2 = 3(0)772<79> = 2 × 83 × 5089463625078241<16> × 17501200107132419<17> × 202895923472135120804772826467263371131340393<45>
3×1079+2 = 3(0)782<80> = 2 × 2994713 × 5008827223176311052177621027457389072007901925827282948315915414932916777<73>
3×1080+2 = 3(0)792<81> = 2 × 59 × 5857 × 285773 × 653311 × 931626869 × 2495633767517503487933793378708181350726938448974464061<55>
3×1081+2 = 3(0)802<82> = 2 × 47 × 79 × 211 × 227 × 1381 × 372739 × 16385491877062958455455038320093033480923258574941971668461535399<65>
3×1082+2 = 3(0)812<83> = 2 × 7 × 29 × 31 × 1170727 × 121664515613<12> × 1454830553895658401445979<25> × 11502746480820842879670527111104723733<38>
3×1083+2 = 3(0)822<84> = 2 × 1013 × 148075024679170779861796643632773938795656465942744323790720631786771964461994077<81>
3×1084+2 = 3(0)832<85> = 2 × 1301 × 96334499 × 11968290426320401086154593975668735200895069306270580786364670502738576799<74>
3×1085+2 = 3(0)842<86> = 2 × 34381 × 77899 × 3486121 × 558923090306075396777<21> × 2874394435703129617184680641719382624773951301887<49>
3×1086+2 = 3(0)852<87> = 2 × 241 × 1179049226121539<16> × 6548153754779557727542081<25> × 80616401877828614556080684526938261811378779<44>
3×1087+2 = 3(0)862<88> = 2 × 17 × 23 × 4231846081<10> × 55965958361246021252235316523<29> × 16197973842661656382794606678453381249429578597<47>
3×1088+2 = 3(0)872<89> = 2 × 7 × 107 × 454725520052504957<18> × 44041298292166530318063076942987689370491248740927918392156999115657<68>
3×1089+2 = 3(0)882<90> = 2 × 379 × 619 × 108949 × 5868649219713834578577447707066712545173627578582934620216848060525650491908149<79>
3×1090+2 = 3(0)892<91> = 2 × 19687 × 9161693 × 54608789 × 1509938420792745615703<22> × 100858893924340999635462249222381979130562639064033<51>
3×1091+2 = 3(0)902<92> = 2 × 164881 × 211067 × 229146502933622978147<21> × 1880992548897241668293829972829460333728698907468555672780129<61>
3×1092+2 = 3(0)912<93> = 2 × 7039 × 4914443 × 4336166916262654357288268235263007570951743053731328728644578448991580135930517213<82>
3×1093+2 = 3(0)922<94> = 2 × 19 × 16833970292438681527200541602463554003340697<44> × 4689765221726299468585784810969850214783577841107<49> (Eric Jeancolas / ECM for P44 x P49 / June 7, 2022 2022 年 6 月 7 日)
3×1094+2 = 3(0)932<95> = 2 × 72 × 79 × 635689 × 333754834801<12> × 474733039408899614159813789473<30> × 38472142069518143133023473398856419659940823<44> (Eric Jeancolas / ECM for P30 x P44 / June 7, 2022 2022 年 6 月 7 日)
3×1095+2 = 3(0)942<96> = 2 × 61 × 2623111 × 335596557272042526708691<24> × 2793362241743896640140554645642006633559630293411636278425821841<64>
3×1096+2 = 3(0)952<97> = 2 × 1427 × 1051156271899088997897687456201822004204625087596355991590749824807288016818500350385423966363<94>
3×1097+2 = 3(0)962<98> = 2 × 31 × 176150584231<12> × 627944985511728865951<21> × 10623508732172430054170101<26> × 411771136811805452653753769005490932891<39>
3×1098+2 = 3(0)972<99> = 2 × 1013159324017<13> × 6160352071949909<16> × 24032999650589928492461529814012579228962549157724405231706632345303117<71>
3×1099+2 = 3(0)982<100> = 2 × 857 × 94448271557<11> × 6706123780595306764577<22> × 2763407024790513593155668430846898397747329131418035474829904437<64>
3×10100+2 = 3(0)992<101> = 2 × 7 × 187711 × 501029 × 5325101 × 4300851408837310069613664284353<31> × 994851694817310541673487385877932476851983191807049<51> (Eric Jeancolas / ECM for P31 x P51 / June 7, 2022 2022 年 6 月 7 日)
3×10101+2 = 3(0)1002<102> = 2 × 2526870323<10> × 193785114049<12> × 28193842702685837<17> × 175168064218954159<18> × 62026701747543487593097145669746189130207733961<47>
3×10102+2 = 3(0)1012<103> = 2 × 1993 × 6614854087<10> × 2110574097456533<16> × 21446607164276292785167<23> × 2513648172674334444376963302038860354742664321354701<52>
3×10103+2 = 3(0)1022<104> = 2 × 17 × 11607049 × 485595822553996799736780659657553174868245781<45> × 156547298629359282290103148270623291139621637389637<51> (Eric Jeancolas / ECM for P45 x P51 / June 7, 2022 2022 年 6 月 7 日)
3×10104+2 = 3(0)1032<105> = 2 × 4673789 × 13794317 × 7105933609<10> × 327416686704431227821416196192143073303281109005941463072880394550544974928985153<81>
3×10105+2 = 3(0)1042<106> = 2 × 7247 × 35031800033<11> × 2645379494297<13> × 109300131554940713<18> × 20434399376192247228863018275891995707825074373186715247730191<62>
3×10106+2 = 3(0)1052<107> = 2 × 7 × 3338420843<10> × 7162745189<10> × 30431699368177<14> × 275657721205433183147690659016298797<36> × 10682582799936540999470083725833452661<38> (Eric Jeancolas / ECM for P36 x P38 / June 7, 2022 2022 年 6 月 7 日)
3×10107+2 = 3(0)1062<108> = 2 × 79 × 16444943862797<14> × 395571143367017338620225377<27> × 807775747230352468873267943<27> × 361340266185960707324261664054503936957<39>
3×10108+2 = 3(0)1072<109> = 2 × 6299 × 2598989 × 4556891 × 84855439 × 263236130697629<15> × 508140786173483<15> × 203407308574722125040511<24> × 8709049864974610067731166065667<31>
3×10109+2 = 3(0)1082<110> = 2 × 23 × 173 × 4133352799020979<16> × 912042012423547577812380127826824685792954503275040246316154047909989029087289421368094161<90>
3×10110+2 = 3(0)1092<111> = 2 × 29 × 179 × 1499 × 595296640072050800993771<24> × 69473276930880537558181869090385037<35> × 466108885174936015529420684282472204116763707<45> (Eric Jeancolas / ECM for P35 x P45 / June 7, 2022 2022 年 6 月 7 日)
3×10111+2 = 3(0)1102<112> = 2 × 19 × 211 × 1553 × 74209 × 56949071320123716570717287995645835113875893489297<50> × 57008619106659762344904176064474436083702973261081<50> (Eric Jeancolas / ECM for P50(5694...) x P50(5700...) / June 7, 2022 2022 年 6 月 7 日)
3×10112+2 = 3(0)1112<113> = 2 × 7 × 31 × 3855645353353<13> × 8386380499667<13> × 2137764604578397333959521326912999105486352375703736669000702889847416579612197950203<85>
3×10113+2 = 3(0)1122<114> = 2 × 2701761206639544595361571469943<31> × 55519340358939518334101308290705621011702809505547838664361296491978672915323092807<83> (Eric Jeancolas / ECM for P31 x P83 / June 7, 2022 2022 年 6 月 7 日)
3×10114+2 = 3(0)1132<115> = 2 × 2874562657716317<16> × 521818508973350421948286147864359984072612006136229016489486400363859096131909969300098177167985653<99>
3×10115+2 = 3(0)1142<116> = 2 × 492508542713237<15> × 1785950503424281<16> × 17053285883307897181294644160836081165032745068679702702339381420870677787940573796933<86>
3×10116+2 = 3(0)1152<117> = 2 × 241 × 438668676004717547<18> × 3218080638430468443441315457633<31> × 440900580061681320831180954463362394095621121359632852090196294611<66> (Eric Jeancolas / ECM for P31 x P66 / June 7, 2022 2022 年 6 月 7 日)
3×10117+2 = 3(0)1162<118> = 2 × 439 × 7197388916747<13> × 169015939249976589727322213720795797111746349<45> × 2808821267651945142364635876457282915847771163163284558953<58> (Eric Jeancolas / ECM for P45 x P58 / June 7, 2022 2022 年 6 月 7 日)
3×10118+2 = 3(0)1172<119> = 2 × 7 × 1780201 × 73426209031015111<17> × 3533429129926196682843839003<28> × 1059098509326265554191663485069537<34> × 4380667898029471188418236352733483<34> (Eric Jeancolas / ECM for P34(1059...) x P34(4380...) / June 7, 2022 2022 年 6 月 7 日)
3×10119+2 = 3(0)1182<120> = 2 × 17 × 83 × 109 × 156261160604229779603<21> × 638006061786406630868958014907042409<36> × 9782771207854146748993485778351589616742791794633346556037<58> (Eric Jeancolas / ECM for P36 x P58 / June 7, 2022 2022 年 6 月 7 日)
3×10120+2 = 3(0)1192<121> = 2 × 79 × 4923264920868882479646726196838222522911<40> × 3856656523127119767346747151802253259872416059735258012464057863030609986806129<79> (Eric Jeancolas / ECM for P40 x P79 / June 7, 2022 2022 年 6 月 7 日)
3×10121+2 = 3(0)1202<122> = 2 × 257 × 17371832268421<14> × 2462327889931838363<19> × 8282487661430375551<19> × 164742566114361085412401409195915740744041399024337213341543462452041<69>
3×10122+2 = 3(0)1212<123> = 2 × 193 × 34649623 × 3090525471269094946777<22> × 2726491956526468080097887293<28> × 2661943836933447180207420260171723404705251643866849664855576619<64>
3×10123+2 = 3(0)1222<124> = 2 × 17183 × 17867539 × 37904089 × 128896601579316264923385668967495142729602971405625024166615166242280419997962418419106086746897602460557<105>
3×10124+2 = 3(0)1232<125> = 2 × 7 × 31722079 × 1102783849<10> × 32959295972099407<17> × 6513771209297666006592961<25> × 285319039347780146837064269690451462055823319796799720019576818479<66>
3×10125+2 = 3(0)1242<126> = 2 × 5473549 × 1901310006543579326325473<25> × 14413495434175298227576859383916874731513512165954876749242683985032082226961333621374527008613<95>
3×10126+2 = 3(0)1252<127> = 2 × 243799 × 1585708525986300475301<22> × 5423350437811426131550441586669002351<37> × 715431915070735022464371896099795758106951793755619123691171349<63> (Eric Jeancolas / ECM for P37 x P63 / June 7, 2022 2022 年 6 月 7 日)
3×10127+2 = 3(0)1262<128> = 2 × 31 × 47 × 571 × 109786230389971<15> × 170928270970878664291<21> × 61762948390140806720874355103<29> × 15556281961426598168458916012971364232084268185950703346501<59>
3×10128+2 = 3(0)1272<129> = 2 × 467 × 2239 × 20161 × 7250429 × 20501641 × 28196407 × 1697704563530822526128740025580073283640965590473472908512878789388090974122799402896837254789959<97>
3×10129+2 = 3(0)1282<130> = 2 × 19 × 2830823841961<13> × 27888477993870267191535229708413097906067261121855866707335633363878783270519960870317874782435778827090868818959139<116>
3×10130+2 = 3(0)1292<131> = 2 × 7 × 2032067 × 3018121 × 787844981831655616447<21> × 9268951618953838757213<22> × 31731729586968254432737<23> × 1507833596416375284301979886278746443688606907745607<52>
3×10131+2 = 3(0)1302<132> = 2 × 23 × 101161 × 3035463705893<13> × 34475980565057<14> × 20330833532775773503053533<26> × 30300755223836470087058700818215054061249487281501995873409391310821219199<74>
3×10132+2 = 3(0)1312<133> = 2 × 97 × 1373 × 421009 × 26752083272547063943095835287220260450410851841656667925583263190406892828318635845405310085987794663520713605863071206469<122>
3×10133+2 = 3(0)1322<134> = 2 × 79 × 10622538144558475938017<23> × 17874580927608525421696542009732886908123401233144484492657704281374413149800671366513653823881931522468856207<110>
3×10134+2 = 3(0)1332<135> = 2 × 8147 × 18411685282926230514299742236406039032772799803608690315453541180802749478335583650423468761507303301828894071437338897753774395483<131>
3×10135+2 = 3(0)1342<136> = 2 × 17 × 503 × 749809 × 133566317 × 1079562947<10> × 1622477872969755559598236780539350456388673594656102310956452403598062002279603628647318546331358372467178561<109>
3×10136+2 = 3(0)1352<137> = 2 × 73 × 145929055775306984666789672223502170125523906580832484899<57> × 299678348450301826250144833150579425029393763503190823166479516430319907552493<78> (Dmitry Domanov / Msieve 1.54 snfs for P57 x P78 / June 13, 2022 2022 年 6 月 13 日)
3×10137+2 = 3(0)1362<138> = 2 × 827 × 41815021 × 1389548401654898996796206656252123400012906029<46> × 3121617963811269518378425492164429353391935861233355619354872836673956810527368507<82> (Ignacio Santos / GNFS, Msieve for P46 x P82 / June 13, 2022 2022 年 6 月 13 日)
3×10138+2 = 3(0)1372<139> = 2 × 29 × 59 × 731962326418931<15> × 4492728200319816077266469<25> × 266589091802763532237262638097068905421652983282406097084985400277259983516353794652904933666769<96>
3×10139+2 = 3(0)1382<140> = 2 × 3520849247<10> × 80001759174391<14> × 179757119536482961860476059593027437908270318024328027<54> × 296249885894549098017059731916161899597879750408450823440309019<63> (Eric Jeancolas / ECM for P54 x P63 / June 7, 2022 2022 年 6 月 7 日)
3×10140+2 = 3(0)1392<141> = 2 × 56846411 × 73034147 × 112685591219<12> × 320622399089851070700669111063417735090491254311695901123542806113391636100425240871629366702892024198296346147387<114>
3×10141+2 = 3(0)1402<142> = 2 × 107 × 113 × 211 × 99391 × 2138029 × 109533433011194264950859782452944167856149999877<48> × 25260342290808838506704373877022543511742171771551995585036483149205897957567<77> (Eric Jeancolas / cado-nfs-3.0.0 for P48 x P77 / June 15, 2022 2022 年 6 月 15 日)
3×10142+2 = 3(0)1412<143> = 2 × 7 × 31 × 22307 × 369383046898650451392561966259268017779577<42> × 8389061894355406895340229513839073385853750618682004733384410239076179269862182577194108699227<94> (Taiyo Kodama / Msieve 1.53 for P42 x P94 / June 17, 2022 2022 年 6 月 17 日)
3×10143+2 = 3(0)1422<144> = 2 × 18759398799103885510009<23> × 8686901105611675547038891<25> × 920465394697582681121450344269023167812482050228028044589538246582684875005694203946994817471579<96>
3×10144+2 = 3(0)1432<145> = 2 × 1500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<145>
3×10145+2 = 3(0)1442<146> = 2 × 197 × 229 × 331 × 23032253 × 48800177 × 59990175478609<14> × 8562546252003128638874724241<28> × 1036086384326601501071482444901462329937<40> × 1679286156914439409930053296297003710649719<43> (Eric Jeancolas / ECM for P40 x P43 / June 7, 2022 2022 年 6 月 7 日)
3×10146+2 = 3(0)1452<147> = 2 × 79 × 241 × 1667 × 393201494356364339<18> × 12019775762524216311863015514541444905084310731902986982086927441349893708087141506800539109021183888556723560013256615543<122>
3×10147+2 = 3(0)1462<148> = 2 × 19 × 13182716509307<14> × 5801773138434618347<19> × 12717733212480326597065553<26> × 404234203327184101172408753<27> × 200784061283034602006106949019639184023618988584742012339293539<63>
3×10148+2 = 3(0)1472<149> = 2 × 7 × 58443719146810074622843349<26> × 2337684298499762557632596829344147725889112722147<49> × 15684457947480774686095961538148906477754254787842356150775438926976874281<74> (Florian Baur / cado-nfs for P49 x P74 / June 19, 2022 2022 年 6 月 19 日)
3×10149+2 = 3(0)1482<150> = 2 × 44453550562129<14> × 4095859383036103401197<22> × 58837187070537393132451505452997<32> × 14001928801137722252258079165470393866676901174103444724512171912333237935246837841<83> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2667552223 for P32 x P83 / June 7, 2022 2022 年 6 月 7 日)
3×10150+2 = 3(0)1492<151> = 2 × 7877 × 8689 × 13211711431939760257109874511997<32> × 1658828686196321904588584004231869738691546044071271240294696576331606481635181278384039391818069593153869467361<112> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2477374372 for P32 x P112 / June 7, 2022 2022 年 6 月 7 日)
3×10151+2 = 3(0)1502<152> = 2 × 17 × 539225207 × 69818092556809<14> × 5017595648930813533460918392222992769424988902611156007<55> × 4670985424915920601213073465833971663471635791796388590513980483352311433<73> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P73 / June 19, 2022 2022 年 6 月 19 日)
3×10152+2 = 3(0)1512<153> = 2 × 131 × 151 × 173 × 409 × 1877 × 40523355945869<14> × 920272737779224077085897<24> × 1531042940649451488261067935739554207318758584744507255908133466257820023082885353975483763556631612273<103>
3×10153+2 = 3(0)1522<154> = 2 × 23 × 471118759 × 45074693718499<14> × 3071144432724601272264312471264847162655211768127261004642025772702701757677291386277128647632861126145701647131802229878645800907<130>
3×10154+2 = 3(0)1532<155> = 2 × 7 × 269 × 16238311 × 3884809469<10> × 2494672070562155726408776982994956733931162090188003662573<58> × 50619388646777303141746986624988012503017245231894366437292844535369061862621<77> (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P77 / June 19, 2022 2022 年 6 月 19 日)
3×10155+2 = 3(0)1542<156> = 2 × 61 × 181 × 2126539 × 6388655900795718417401466872764200612669724306314300221549399752410170472398647838099442326905019879427451719614595376740746157645797769697472899<145>
3×10156+2 = 3(0)1552<157> = 2 × 12899 × 483031 × 65859648106881678262276929489535815610440482870117<50> × 3655449651918125477790246855215825458975755628606994392782835505487838009734613004489253080141737<97> (Bob Backstrom / Msieve 1.54 snfs for P50 x P97 / June 12, 2022 2022 年 6 月 12 日)
3×10157+2 = 3(0)1562<158> = 2 × 31 × 5449 × 5881 × 357109 × 42282512149003840277287740766421699279587991381522253197239805762270387313002907132880366965549506275140516891705279576376167106165650030446851<143>
3×10158+2 = 3(0)1572<159> = 2 × 337 × 1130651 × 1288571 × 1674999585463<13> × 1579056603103206803<19> × 704965564903831766909839015996396862411206259<45> × 163849125655031576015589280549070403503378980815027428232772143875863<69> (Eric Jeancolas / ECM for P45 x P69 / June 7, 2022 2022 年 6 月 7 日)
3×10159+2 = 3(0)1582<160> = 2 × 79 × 171047 × 47625737073769<14> × 592974817882547<15> × 1191120694373879170643288663000179<34> × 1024044766183451164517138056576351309<37> × 3222523057865019579254142707299024964447569051704812749<55> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3922260285 for P34 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / Yafu 1.34 for P37 x P55 / June 12, 2022 2022 年 6 月 12 日)
3×10160+2 = 3(0)1592<161> = 2 × 7 × 83 × 1523846407448137<16> × 183234400262968979<18> × 98575517053531196751367976215051904306884745003<47> × 937989239808755458676546062138449497884668550658490092392679245053737710563509<78> (Bob Backstrom / GMP-ECM 7.0.4 B1=15620000, sigma=1:1218300879 for P47 x P78 / June 20, 2022 2022 年 6 月 20 日)
3×10161+2 = 3(0)1602<162> = 2 × 115875260903<12> × 1055199166523<13> × 2068502357261296260892149871<28> × 97967803327338819670772022650156785145808241<44> × 6053780974651096104556040535471603171952610558246030573515624111339<67> (Eric Jeancolas / cado-nfs-3.0.0 for P44 x P67 / June 13, 2022 2022 年 6 月 13 日)
3×10162+2 = 3(0)1612<163> = 2 × 541149839178116447736407199660799<33> × 2771875535024012778342653602237689591754304225267779396378812920744929295801314795008471240430583488184612055817956351400431699199<130> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2831373220 for P33 x P130 / June 7, 2022 2022 年 6 月 7 日)
3×10163+2 = 3(0)1622<164> = 2 × 617 × 2357 × 161281 × 1705074852868500314492341<25> × 276122078150943465459747747877282103<36> × 55702570955850203511338874119619892097908493<44> × 2438616353075834224463482213306494984360998518531<49> (Eric Jeancolas / GMP-ECM 7.0.4 cado-nfs-3.0.0 B1=1000000, sigma=1:3285347495 for P36 x P44 x P49 / June 18, 2022 2022 年 6 月 18 日)
3×10164+2 = 3(0)1632<165> = 2 × 547119119398392799<18> × 15376354175582902165753780543338851<35> × 17830190918634126478553641985374935268042617452490606427932369305357921713012814427650335480750156502171648438549<113> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:906555063 for P35 x P113 / June 7, 2022 2022 年 6 月 7 日)
3×10165+2 = 3(0)1642<166> = 2 × 19 × 19433 × 59099461 × 135696859 × 372500543 × 1359933218241172010962579818741458597642057031350609195321199090556464568006966183249739535109357920613636043706220414316833387636625659<136>
3×10166+2 = 3(0)1652<167> = 2 × 7 × 29 × 3967 × 14392327 × 59668136977<11> × 3705892776049<13> × 1251057727527701860589349423664331<34> × 4678313546910283484249668997656232883662179363701031203086122288736242274991796966796551066702801<97> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3501908756 for P34 x P97 / June 7, 2022 2022 年 6 月 7 日)
3×10167+2 = 3(0)1662<168> = 2 × 17 × 1493 × 1331895757501606325520510337050197<34> × 4437233614929453067635174060814358594968902760123323332091100454772026575872448834530403540247431988833956658290280583212809427193<130> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3429739590 for P34 x P130 / June 7, 2022 2022 年 6 月 7 日)
3×10168+2 = 3(0)1672<169> = 2 × 199 × 389 × 3563205012583<13> × 2297769818013185809<19> × 4178508692351101951640706473633119369<37> × 566395690363967322131986796577867947289476971852036652214418374225623258822051303758501233522437<96> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:304424626 for P37 x P96 / June 19, 2022 2022 年 6 月 19 日)
3×10169+2 = 3(0)1682<170> = 2 × 267139 × 66525923 × 16125793574455011409<20> × 19013152493922657410416936784357454804560908032574806637083571<62> × 2752883462125893615856433005457530131227674706661007562265932777795503049747<76> (Eric Jeancolas / cado-nfs-3.0.0 for P62 x P76 / June 21, 2022 2022 年 6 月 21 日)
3×10170+2 = 3(0)1692<171> = 2 × 34133483 × 9061660603037993505766319015925313<34> × 77052829551991552467882804571762358237<38> × 6293819291098419120416826152649791660283272369285667047733386025897975010294567806905307487<91> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4082867101 for P34 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:110490316 for P38 x P91 / June 19, 2022 2022 年 6 月 19 日)
3×10171+2 = 3(0)1702<172> = 2 × 211 × 1306612952896529741184704144806519433<37> × 5440788508622302542060975460230490961629597488632590740510230928254676958656144197838194811314210009871103770973624312012674636415427<133> (Bob Backstrom / Msieve 1.54 snfs for P37 x P133 / June 13, 2022 2022 年 6 月 13 日)
3×10172+2 = 3(0)1712<173> = 2 × 7 × 31 × 79 × 28403 × 1602323 × 9152545702773032815750164009846260208130854770789793772026937<61> × 2100623633338743070805671808521168114397054640312879745726477408916353132718171129599120332530119<97> (Bob Backstrom / Msieve 1.54 snfs for P61 x P97 / June 14, 2022 2022 年 6 月 14 日)
3×10173+2 = 3(0)1722<174> = 2 × 47 × 98784139 × 142147763885003<15> × 142476532882713972352588073725966413951451830271787408299<57> × 1595228175902624757349792484758068365423935768537445991594701213593806338822860124981145906901<94> (Bob Backstrom / Msieve 1.54 snfs for P57 x P94 / June 18, 2022 2022 年 6 月 18 日)
3×10174+2 = 3(0)1732<175> = 2 × 41813 × 290737 × 12842699 × 147631229 × 2464671899<10> × 1406614044663199131700466238907423<34> × 18772020672020164651671556841658464738657599148333655775516403746439365474494154957874431019181839369380663<107> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3929998364 for P34 x P107 / June 7, 2022 2022 年 6 月 7 日)
3×10175+2 = 3(0)1742<176> = 2 × 23 × 2393 × 6917 × 975588017 × 39782959081<11> × 768945961585463797108768097<27> × 721233462780484030945512868791979<33> × 1830491513053398719596339305152864893541299418551433514774771794366124331192200566418977<88> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:469823387 for P33 x P88 / June 13, 2022 2022 年 6 月 13 日)
3×10176+2 = 3(0)1752<177> = 2 × 241 × 463 × 2287 × 370609 × 1407223 × 16864204691<11> × 806254667868803<15> × 57257608623758745969839248039489<32> × 1447694291508799810234461969298061657733225536602016331522426399008350023704180261895742586001854239<100> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1487027362 for P32 x P100 / June 7, 2022 2022 年 6 月 7 日)
3×10177+2 = 3(0)1762<178> = 2 × 263 × 1187 × 7283 × 107903 × 7867337 × 12097650158781053798966442351010831849<38> × 64240984382028252015840820155888085698659961980374186980951032113145996301852504749855193795148313237538171040119008033<119> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3328761316 for P38 x P119 / June 14, 2022 2022 年 6 月 14 日)
3×10178+2 = 3(0)1772<179> = 2 × 72 × 48481 × 93371 × 3370877 × 812393503 × 22970366233109<14> × 20588960550538894526748031916450813<35> × 52215556535772034941216123049640739199697310016797865093112450183626855923505525186803754653984552315937<104> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1622176279 for P35 x P104 / June 7, 2022 2022 年 6 月 7 日)
3×10179+2 = 3(0)1782<180> = 2 × 85678957356204392939775807844951<32> × 1750721584722200583131121224898134908975799646505999217824371724353426416681728321074248476976966877731057339133027590366701358204626274888289032551<148> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2566825356 for P32 x P148 / June 7, 2022 2022 年 6 月 7 日)
3×10180+2 = 3(0)1792<181> = 2 × 90243581 × 3508238410145581575656236544023<31> × 4737899447820604471366829702088002067426717532535067531323674813633562589690126262091120630613853280493373328464897209496086442666684094701427<142> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3239215970 for P31 x P142 / June 7, 2022 2022 年 6 月 7 日)
3×10181+2 = 3(0)1802<182> = 2 × 252294421 × 2667097283<10> × 132760683722155637<18> × 6454152442349714200159<22> × 26015732340632961272033554742357681009631298910613902509070903433320099421490162857709498491379985823832043657099051978333629<125>
3×10182+2 = 3(0)1812<183> = 2 × 1009 × 5641 × 236983 × 10878319 × 14452872481690140782261<23> × 707311695307320597716334798819723404406828482435495881137617416247966495122655061558834062853001739548662085263772673457109255084955876618957<141>
3×10183+2 = 3(0)1822<184> = 2 × 17 × 19 × 590867 × 1317820524996612088384714964262979492552778848343279291977430175617477039929154671<82> × 5964070027274047411744474110117308420840361250244745197009542828355671576059912921818012347591<94> (Bob Backstrom / Msieve 1.54 snfs for P82 x P94 / June 18, 2022 2022 年 6 月 18 日)
3×10184+2 = 3(0)1832<185> = 2 × 7 × 4694699 × 225712387417816626917<21> × 4848323499111907317625097450090453<34> × 417098359673140030657398810939533344106889787705932850249642604199491592573521338055588030282034089406258155716905100736957<123> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3287711856 for P34 x P123 / June 18, 2022 2022 年 6 月 18 日)
3×10185+2 = 3(0)1842<186> = 2 × 79 × 47933 × 8484167387<10> × 21409538774641<14> × 159105536019961642267782407<27> × 84849565943136302530231060063698109<35> × 436645544640129013420755764168348710561<39> × 36995514183121756956282662078652156033407037639186203603<56> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1513489860 for P35 / June 18, 2022 2022 年 6 月 18 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2418586206 for P39 x P56 / June 19, 2022 2022 年 6 月 19 日)
3×10186+2 = 3(0)1852<187> = 2 × 49207 × 105503191 × 9326943161876237<16> × 30978432965492409839265374280840631620425556411841482592175840030906948583445631027158862223252459576070019459747459010595213074646200954413860898509710511829<158>
3×10187+2 = 3(0)1862<188> = 2 × 31 × 8057823602113759<16> × 2804179720199512525600968387406616363733507956683917549601<58> × 21414402694455905128420145373290335016137133012622755568883631559689474545564945425676366513544401888871879763169<113> (ebina / Msieve 1.53 snfs for P58 x P113 / June 21, 2022 2022 年 6 月 21 日)
3×10188+2 = 3(0)1872<189> = 2 × 2803832359<10> × 5136521141<10> × 13962955521987036152598913173232959324197431698052657173157817850415799780085871153<83> × 745920908668172518160850287050787256354149887683161751805591544144276695058395673768843<87> (Bob Backstrom / Msieve 1.54 snfs for P83 x P87 / June 21, 2022 2022 年 6 月 21 日)
3×10189+2 = 3(0)1882<190> = 2 × 1088537 × 19069307 × 176917681 × 614836026661<12> × 5671567629648677859353<22> × 9798415384535137938269976897632737288923538469858930907241<58> × 11954286108706535461378874441179346480669969308065044764477496927208417162623<77> (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P77 / July 12, 2022 2022 年 7 月 12 日)
3×10190+2 = 3(0)1892<191> = 2 × 7 × 1259 × 2819 × 609803 × 2455372736071<13> × 2565826300221852461<19> × 157158608482516486443629752766699421531043114359382834489565501542537557565196694041168615926705852593054533238559011547833248733307084052951056831<147>
3×10191+2 = 3(0)1902<192> = 2 × 167 × 259131079 × 3466213301316787468341572182160984553465762274175806826639404108447069583994680755722928796479314962545074342853341783868313373261388277602833015234775364182054644456946132498763057<181>
3×10192+2 = 3(0)1912<193> = 2 × 103657 × 289879231 × 49920108776831273568310099731343002157305452032409388421887404610466313387110057088101141464312436185849818358046540360777116404673604480127291711482765771900723099886009750640103<179>
3×10193+2 = 3(0)1922<194> = 2 × 15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<194>
3×10194+2 = 3(0)1932<195> = 2 × 29 × 107 × 227 × 1669910205908368268107196637870973888331714341258761607685840421560667408011<76> × 127523583237745660872280845347310090256001398911714252593903418520159908465966911984787165000940573011341314970911<114> (Bob Backstrom / Msieve 1.54 snfs for P76 x P114 / July 18, 2022 2022 年 7 月 18 日)
3×10195+2 = 3(0)1942<196> = 2 × 173 × 16187 × 73133 × 93819160223793711744202101033736859861147350496881<50> × 78068144787215814111714283424924073225696835040926737139149572068646912070871932970968203570020778513919236361597284694498691038895787<134> (Bob Backstrom / Msieve 1.54 snfs for P50 x P134 / July 20, 2022 2022 年 7 月 20 日)
3×10196+2 = 3(0)1952<197> = 2 × 7 × 59 × 118627039 × 18155164766957<14> × 1669901562390448416789185882508021434823606259560856494893601777151177802828497<79> × 10098722798876836636626101886454064340535636561417507422137919080314689838244537410401545400967<95> (Bob Backstrom / Msieve 1.54 snfs for P79 x P95 / July 24, 2022 2022 年 7 月 24 日)
3×10197+2 = 3(0)1962<198> = 2 × 23 × 1217 × 60289 × 64817 × 870189849217853870149836545239<30> × 1900426779800712460812446401544350894467158189297289923<55> × 829240841443809438044413205462726255575133603102755963938562039862817378777072119224554087822484651<99> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1767328630 for P30 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P99 / October 23, 2022 2022 年 10 月 23 日)
3×10198+2 = 3(0)1972<199> = 2 × 79 × 13841479 × 60425976563<11> × 12588842246641<14> × 1258008114158912172416560182624178114840763643455289998532260266831<67> × 1433470494041270595336340435698670385522973911445814493973862828765159270328648256776697536788580957<100> (Bob Backstrom / Msieve 1.54 snfs for P67 x P100 / August 24, 2022 2022 年 8 月 24 日)
3×10199+2 = 3(0)1982<200> = 2 × 17 × 3478089999679<13> × 3007804804041989994182101004193082263386465855363143720071052589705939545816334267<82> × 84343549401732920836046536065948345437661194131640934488392506259218416804022019998219019204489096263421<104> (Bob Backstrom / Msieve 1.54 snfs for P82 x P104 / August 31, 2022 2022 年 8 月 31 日)
3×10200+2 = 3(0)1992<201> = 2 × 2699 × 617914547 × 2200106997199<13> × 530564753084381<15> × 37817944182072251474378935327794127230526500053333698029558909810385493<71> × 2037416603377529765577255949105975450033727622855656159651785019794304063964863825011266751<91> (Bob Backstrom / Msieve 1.54 snfs for P71 x P91 / October 4, 2022 2022 年 10 月 4 日)
3×10201+2 = 3(0)2002<202> = 2 × 19 × 83 × 211 × 2033807 × 8234592143693<13> × 1949791376189839761129631<25> × 138050229788403064290328203982166523640863549044324851577345611353686125319224365847196910948986626961010812398437684589829770451842565937514367652375743<153>
3×10202+2 = 3(0)2012<203> = 2 × 7 × 31 × 3001 × 6299 × 3148447848717880289476397<25> × 1161441707239215310749263402996415827280549100492254770611008295753347900670126926051439348791151252725753363968338147540573625013590471886234507772213016422954775863951<169>
3×10203+2 = 3(0)2022<204> = 2 × 293 × 9721 × 67891 × 2643407269<10> × 1262516135410831725446119<25> × 99196147344705959250871359375421<32> × 62948958926007185041222970854102961010479599113391764402043817<62> × 37223406556833569630019650449533829390030309113565076162018715481<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3132118548 for P32 / June 19, 2022 2022 年 6 月 19 日) (Eric Jeancolas / cado-nfs-3.0.0 for P62 x P65 / June 22, 2022 2022 年 6 月 22 日)
3×10204+2 = 3(0)2032<205> = 2 × 2027 × 48464353183088627744693<23> × 15269158013986378580604105506623807103612797868648634730490564773848392700804443538647981552852796464780697263577681031994878210324090848199383908317371760837411519871272295850391<179>
3×10205+2 = 3(0)2042<206> = 2 × [15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<206>] Free to factor
3×10206+2 = 3(0)2052<207> = 2 × 241 × 2551 × 50122007928058037749111<23> × 932880490701579208388023846013<30> × 1500830643405169855814002327056772321<37> × 3476783099058145498036124011589253035980319755328711114955705723933106492197793134715360598237006687802594259637<112> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2785563668 for P30 x P37 x P112 / June 19, 2022 2022 年 6 月 19 日)
3×10207+2 = 3(0)2062<208> = 2 × 61381 × 24437529528681513823495870057509652824163829197960280868672716312865544712533194310943125722943581890161450611752822534660562714846613772991642364901190922272364412440331698734135970414297583942913931021<203>
3×10208+2 = 3(0)2072<209> = 2 × 7 × 22777 × 1105317511<10> × 3331475122249<13> × 25548950937886115185926601246916326073930932352207102486820435318924186880501174345387720633449297932265617828837286024415756825535861749009046288051471849156110577298323861972454481<182>
3×10209+2 = 3(0)2082<210> = 2 × 40557887 × 3698417523575624144324875701734658908635945457414978250716069108827094468703460808991355984595548579737401014012391720505557895558020564532861388957467138265856897328009222965683591948466151602029957823<202>
3×10210+2 = 3(0)2092<211> = 2 × 173981 × 33587517583<11> × 39185570418412950289<20> × 1768408187505736620721<22> × 3704271749059300893295822259578260230741689536314439711372669975754557328343359752435218570938694859786724997371247876835004283836390450711516615619326523<154>
3×10211+2 = 3(0)2102<212> = 2 × 79 × 51805008022219<14> × 103845349223401<15> × 8827150987543734408376121899937<31> × [3998386901806276350226830788900228656464028339132657670004070741478464106216282051590513867354356689158642664711288989952359719694919164663322503920773<151>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4243328408 for P31 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10212+2 = 3(0)2112<213> = 2 × [150000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<213>] Free to factor
3×10213+2 = 3(0)2122<214> = 2 × 13241932673<11> × 19372435457<11> × 1518645128381345599<19> × [3850342469780942514405573219191376761762273181624209779058248395150158333550074677973616407763400292032093912833737961711099293392259461414937521842347984452652163785213879359<175>] Free to factor
3×10214+2 = 3(0)2132<215> = 2 × 7 × 2232 × 22859 × 3169309190479<13> × 1854019577799372413<19> × [320809587955797897380202460723299285248796222462258445245873871687237084246899183318169682358113258167866779401879870703020801751045217511293121612797541019400831862931306119<174>] Free to factor
3×10215+2 = 3(0)2142<216> = 2 × 172 × 61 × [8508707243746100175846616370752736967496738328889897328265925463724544784162459583640592206024164728572238924499404390492937772987690736854047308412275228316977707187021385217539281865108627829145158545578308469<211>] Free to factor
3×10216+2 = 3(0)2152<217> = 2 × 1062277277<10> × 83050131450412783<17> × 7070806245469449228093823<25> × 1758861034821927916746498526801<31> × 1367138704351370888883739137868360500127554174815480175328034319884920422666825396673199146061500688254748791010562787184268521040009557<136> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2464112295 for P25 x P31 x P136 / June 19, 2022 2022 年 6 月 19 日)
3×10217+2 = 3(0)2162<218> = 2 × 31 × 70088341 × 6508111974774059483<19> × 2731745776507557490285664613368107037<37> × 388318863632127340743706140639594072745107413035751374788266030343536907466361375851409593682597358090399124724694436465210164075708658041577947407905261<153> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1183920303 for P37 x P153 / June 7, 2022 2022 年 6 月 7 日)
3×10218+2 = 3(0)2172<219> = 2 × 3697 × 153371209 × 286442623 × 248492400616609<15> × 30387276282859540605123826002754563212758187<44> × 44720522533724544273552467285328269531177684975534411706821<59> × 2734944828724296130307323745831299845429926598847225203085477426394662066942914433<82> (Dmitry Domanov / for P44 / September 1, 2022 2022 年 9 月 1 日) (Norman Powell / CADO-NFS v3.0.0 for P59 x P82 / September 27, 2022 2022 年 9 月 27 日)
3×10219+2 = 3(0)2182<220> = 2 × 19 × 23 × 47 × 69813886343<11> × 823369508507671<15> × 252990915135256162101934946389989667932965878421062057131604947183053<69> × 5021927557159115662386753687191566095381431141043952301993920040755496101721269730462586744319709249587221701905380246751<121> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P69 x P121 / August 15, 2022 2022 年 8 月 15 日)
3×10220+2 = 3(0)2192<221> = 2 × 72 × 4635079 × 174551139227<12> × 113166385014051758309873880122113381083790762280713<51> × 3343473672261894535821305877427936492828555522621035473065137526889975189979739599118751976398317693873731305441588804249165109650897565693628981693181<151> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P51 x P151 / August 15, 2022 2022 年 8 月 15 日)
3×10221+2 = 3(0)2202<222> = 2 × 28463 × 52951 × 174895224841<12> × 1143262711679562971222379327213140605224369831679759512268730105954779<70> × 497751329729354403253859548943891549735686752658351124133708679665729750469178885170412715517982116409166599025528018651021466186643<132> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P70 x P132 / August 15, 2022 2022 年 8 月 15 日)
3×10222+2 = 3(0)2212<223> = 2 × 292 × 12105917 × 1828551307476276976993<22> × 4230332045848210873072066641581<31> × 19046534306578014233521217917397121497210106115825172403380063828211579124271043969083625295929870396761498717940031158071002409278164814894082746628394903583201<161> (Dmitry Domanov / for P31 x P161 / September 1, 2022 2022 年 9 月 1 日)
3×10223+2 = 3(0)2222<224> = 2 × 233 × 829 × 1579 × 3623 × 13759 × 15026767373<11> × 1103009531678772148052945509<28> × 80377653819841621177387254203683759<35> × 3070387116032382885840581405057216045881<40> × 179355216685995541944674505492265793172593<42> × 1344795263877423547407204152972421475637150771812043689<55> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:4225441806 for P35 / September 3, 2022 2022 年 9 月 3 日) (Norman Powell / CADO-NFS for P40 x P42 x P55 / September 9, 2022 2022 年 9 月 9 日)
3×10224+2 = 3(0)2232<225> = 2 × 79 × 149 × 797 × 4975258685141<13> × 5637383686087<13> × [570067545754575822280734784817885275733475438722324478853597257584053173940872266754936143259639098211306148776770016189686097528763393804537114325878974477384115189845126390987418896885554069<192>] Free to factor
3×10225+2 = 3(0)2242<226> = 2 × 15271 × 14519537 × [6765050052124118258733433514918915474788787333549197400185724843712000324162148116840965441489540686136417885901683798546264877021011509519162540937297149922039797495555133084984939641988484760306624953180367747463<214>] Free to factor
3×10226+2 = 3(0)2252<227> = 2 × 7 × 509 × 677 × 12629602228273<14> × 54688531105768964556982201500072509<35> × 9003281656874327962830884002290379024961032648175568182429118214710839562152297302051524649028204610417452503090841656010797034374524404204146525126165722836766149259256643<172> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2679779528 for P35 x P172 / June 7, 2022 2022 年 6 月 7 日)
3×10227+2 = 3(0)2262<228> = 2 × 109 × 151 × 977 × 7457 × 307163 × 4668767 × 5434997 × 8984813 × [17862804889329111658514592622865896742791409561436335181251715004179056324539523455130192992951536853570854219973600526615983911282914468042198557841032465768608698857701568377706026841961671<191>] Free to factor
3×10228+2 = 3(0)2272<229> = 2 × 97 × 6607 × 170741 × 2286828701<10> × 326964354433<12> × 5002817009228377<16> × [3664618222002885502009770795970932582783155361195935730730379674093055017114857494929825951392350112171013024425826661581812257205902175923637814414655187687744547656243735917440999<181>] Free to factor
3×10229+2 = 3(0)2282<230> = 2 × 6992918663<10> × 1713408367493<13> × [1251906512739550370809634769445515844659584227521999091066716918991684697883143420735429122183024396804982799248073610092980376539951599852203727731095098703189887773246617017289184888778770553756121379302539<208>] Free to factor
3×10230+2 = 3(0)2292<231> = 2 × 20044303 × 116243882219<12> × 9986724241544896516997<22> × [6446249876363598605380362015672683013400031453464581275290018278663657563936432745946574468793490586780952213436103086535664217009663322322607130093544764278458861927521575089649451817864169<190>] Free to factor
3×10231+2 = 3(0)2302<232> = 2 × 17 × 211 × 143970661 × 1188073223<10> × 1775065247479<13> × [1377299388312520646704176220394893500860035700093816594999433169933367190892961801325424410218715875833388513814896062496257579711446899245838012822564841544253866840517535470051564766913312348852879<199>] Free to factor
3×10232+2 = 3(0)2312<233> = 2 × 7 × 31 × 38261 × 17439879218742247<17> × [103593316165985136929757452851372834165746522183934066838365623976192640921276595675069387321586305409747158986852737907433573209616444764112932440742868226286083675754248257298151382566533291253937363351015059<210>] Free to factor
3×10233+2 = 3(0)2322<234> = 2 × 11851003231673<14> × 9004886954470741<16> × 199579229954410956298711<24> × 70236519110777371328863395864799<32> × 2657931453137403147483797791732699<34> × 514264038189084633936411998873231815004147<42> × 73358361489158428668723232935969921440656559666189008735465016358973030621<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2814835255 for P24 x P32 x P34 / June 20, 2022 2022 年 6 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P42 x P74 / June 21, 2022 2022 年 6 月 21 日)
3×10234+2 = 3(0)2332<235> = 2 × 727 × 753952662282128234069<21> × [2736609114692393318476188532062384850189702096770711720217895524385185440883731508935931791604224740415241750393831697329679016658310660250786649223834527413704614068689166762782066457510869098370580057663729227<211>] Free to factor
3×10235+2 = 3(0)2342<236> = 2 × 863 × 21061 × 115334891461090277<18> × 7155512816787939627133669240529806835804590126193472341985668002687538995798001707777035633547842386747200136919913364140834817534097531424149757072162713130478865482683015020762435562062262237473268318116627991<211>
3×10236+2 = 3(0)2352<237> = 2 × 241 × 1678421 × 741694781 × 499974769371545071756011521015683163210450884824165482361887328108860551080406627904253944607327613673105950538989800775691719758967069052699592516302456323096910646600490690630076822963466057392200529410101780450724561<219>
3×10237+2 = 3(0)2362<238> = 2 × 19 × 79 × 14423 × 380349530372064151<18> × [182167995241147168308386117597505511571520900729399785056418750232863604085288759104368357244261494730787696011877536835367188356174478208438823312024910781518268425314565248522352525705272320960753268749789598437<213>] Free to factor
3×10238+2 = 3(0)2372<239> = 2 × 7 × 173 × 4091 × 161017 × 820970113108009<15> × 22904380954534614696627333652135164019761994120904632004649338839256197718807782575098671784855582679477705164068436515395636205100191058309648817727874999067575702024349484058558976916295618345362824550181809417<212>
3×10239+2 = 3(0)2382<240> = 2 × 1125713 × 9970008203<10> × 19499039870016211101859652874305821<35> × [685416941441237720018303969997109581154837610554094618686166996357150332166864024699294005886327264718330726740087847611917729275189123030636167583566148368755137965340138410415346644628879<189>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3065593445 for P35 / September 3, 2022 2022 年 9 月 3 日) Free to factor
3×10240+2 = 3(0)2392<241> = 2 × 30014359 × 969598612484996239<18> × 122079612957344784423450762557<30> × [422208582453947531883267708643712029660371874551433312171519975474554673244938323412962325147483799387959295048241721486148569940992220980768056839152196706438107728886295646778101995293<186>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4113602360 for P30 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10241+2 = 3(0)2402<242> = 2 × 23 × 64950621143<11> × 1511631084644009941<19> × 351618440347147423248733612099<30> × 2363248692755779417197074941830502478350073<43> × 7993799125082376656435633840842393541715947500595925125272547571051198409242356876630954374276805101422861295488024606983269706768841196487<139> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1936556941 for P30 / June 20, 2022 2022 年 6 月 20 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:4155637497 for P43 x P139 / September 2, 2022 2022 年 9 月 2 日)
3×10242+2 = 3(0)2412<243> = 2 × 83 × 81799 × 5167162628479<13> × 4952934739520064794237004099959651291<37> × [863277528247325967039201185232830534082979216551374139723197157115011145733371826713168771652546794271792114838602900767360174259233422209063967568632365489393787944683939410704288450377<186>] (Dmitry Domanov / for P37 / September 1, 2022 2022 年 9 月 1 日) Free to factor
3×10243+2 = 3(0)2422<244> = 2 × 197 × 308761 × 24660540670517141566480617135620002243451586599179425441296676217803670760935671549349597146229624454325941358187826416164017716329702024878638492207195166494571713567425543292672431062568279899504022273926425145386628532044983390879253<236>
3×10244+2 = 3(0)2432<245> = 2 × 7 × 1303 × 1419803341563319<16> × 3153481059088783<16> × 691229135958119275634929061<27> × [531383844765787256363885183817733384862151728814278501393608385640755542473859969896625980099442317327952250854053287235036239544673142937987330308384553298165026943664805174211993973<183>] Free to factor
3×10245+2 = 3(0)2442<246> = 2 × 10099 × [14852955738191900188137439350430735716407565105455985741162491335775819388058223586493712248737498762253688484008317655213387464105356966036241212001188236459055352015050995148034458857312605208436478859292999306862065551044657886919496979899<242>] Free to factor
3×10246+2 = 3(0)2452<247> = 2 × 919 × [1632208922742110990206746463547334058759521218715995647442872687704026115342763873775843307943416757344940152339499455930359085963003264417845484221980413492927094668117519042437431991294885745375408052230685527747551686615886833514689880304679<244>] Free to factor
3×10247+2 = 3(0)2462<248> = 2 × 17 × 31 × 107 × [266009328060437319335331358952987284754118711096135771161042047207788753125609604710138502190143467697600595860894855379595311142244054691517849225912855344127400734185745446807001365514550710244905921367642625334728404476050293496958626682509<243>] Free to factor
3×10248+2 = 3(0)2472<249> = 2 × 443 × [338600451467268623024830699774266365688487584650112866817155756207674943566591422121896162528216704288939051918735891647855530474040632054176072234762979683972911963882618510158013544018058690744920993227990970654627539503386004514672686230248307<246>] Free to factor
3×10249+2 = 3(0)2482<250> = 2 × 347 × 55648746922501<14> × [77679495220714862097342592861359758479957519195247854706833208811536759632431600846570297228561602950400843279993653238001826253386312765498399310748310901998312425920784339307092237279164874920638570520072721339665063279148758312183<233>] Free to factor
3×10250+2 = 3(0)2492<251> = 2 × 7 × 29 × 79 × 2540339 × 213930334949<12> × 132406578877860404178269027<27> × 27827720778940534173692769642313<32> × [467107544215596151141183956063781649618874889813210945710647576313940620471514366402237660636274308324210973668714590411759084807156039844897456581977325158471470620719593<171>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1812886350 for P32 / June 20, 2022 2022 年 6 月 20 日) Free to factor
3×10251+2 = 3(0)2502<252> = 2 × 617 × 9349 × 284787439 × 2225164891<10> × 2898082339<10> × 16949474227679839<17> × [835393236687550954469459652748760738413794971852415765616446706403989888029092208920578489562602908306201688442917050979659124031567212754331509828538644350065405445828690596194987217175980390684585893<201>] Free to factor
3×10252+2 = 3(0)2512<253> = 2 × 52639 × 56983 × 149809338757588043<18> × 24849564258170417276169163159<29> × 134332362914330439372426052722903555229125550082725509699002072599179853176293713999447971464450993384411195846345135176104914543796675247876635256662778619913497801034416035510711349269370688008429<198> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3806794207 for P29 x P198 / June 20, 2022 2022 年 6 月 20 日)
3×10253+2 = 3(0)2522<254> = 2 × 113 × 410553601411<12> × 17879749248791569<17> × 1342693356208484279822848793<28> × 13468048932647363959023846083068974855146647646777617909643847583081468250643176017604222797433426034984505872943319565204148579464816947656745524890803361250991821450103387226291258125971394332771<197> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4095023082 for P28 x P197 / June 20, 2022 2022 年 6 月 20 日)
3×10254+2 = 3(0)2532<255> = 2 × 59 × 601 × 4230237739360952085507205504949378155052313940043430440790772441411207309850813615725203756451112552525451930398488395047801686454778758566231422205927973152091147522490763980935728587946642601314193857694802447897571843537606813502918864040159056939<250>
3×10255+2 = 3(0)2542<256> = 2 × 19 × 331 × 1585009 × 55680825346766331818202391<26> × [2702540852640983834382033223312945212906021228879822301278932882160826984463849072967143806788123911772201377928886265091918873483219557400431581732189926785099240262314526106425685029682525697006088623671155169202803111<220>] Free to factor
3×10256+2 = 3(0)2552<257> = 2 × 7 × 1201 × 5481920398908920462373152254129<31> × [325474888303401035243064023770843579776110571460408246657217852771718811746258266706828453629766156091446764487566167116375429630577825150903936568138650029118391395434623084882212288682651115584273216519847592007649254167<222>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2784473205 for P31 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10257+2 = 3(0)2562<258> = 2 × 1702150419051387911830166601074722962263<40> × [88123821679399710456142527100803619437611928486168729416087971906291749592170368694004681247620130238208554220551749466762862977481215978266509526176716983275972093495468672087170426115523695462222561023428509568180327<218>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:778241466 for P40 / September 3, 2022 2022 年 9 月 3 日) Free to factor
3×10258+2 = 3(0)2572<259> = 2 × 146099 × [10267010725603871347510934366422768122985099145100240248050979130589531755864174292774077851319995345621804392911655795043087221678450913421720887891087550222794132745604008240987275751374068268776651448675213382706247133792839102252582153197489373643899<254>] Free to factor
3×10259+2 = 3(0)2582<260> = 2 × 1051 × 16625537 × 10008286236241<14> × 3213093062586036886551473<25> × 26694994710694862435575439277939290522008116175027753291655038031726385251790272085240815962177471834522837896389497320776109353700351012198210753935278155090449091148620628573235387561461542928745534462097009811<212>
3×10260+2 = 3(0)2592<261> = 2 × 6043372949<10> × 857214755881763<15> × [28954910342629255382739504080597186274074840545667966975270605504660063957920346567072850692778597289201831361773333374808535117119280137800362139070613885577001187979614144484148769960059385336938280065718937170508648232274652246213023<236>] Free to factor
3×10261+2 = 3(0)2602<262> = 2 × 211 × 111227 × 186886118896704023296704811<27> × [341996400444601543890266523480072198512171860184425903117864663729175847257049504167987804085795088106462210958268596597607354303246906352585535226498931442125680074107452697221489493485376206753409958948171009981998931565608803<228>] Free to factor
3×10262+2 = 3(0)2612<263> = 2 × 72 × 31 × 673 × 7417 × 20190182512615979772673<23> × 43818385218988895630503999316335423<35> × 2236111875592173691372192504752744644165101878738216404185373784226951537746406582033742629289409446975614331790803214774088315193827677566918969570543859261873145897957534799648868829254469993561<196> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:949815368 for P35 x P196 / June 21, 2022 2022 年 6 月 21 日)
3×10263+2 = 3(0)2622<264> = 2 × 17 × 23 × 79 × [4856097639936546990838162452653048010618666839327916086632781896467998316552818155330376509437016413610022985528829032989089967302275891093916928356372818802810061834309948525365016672601897115478001877691087442131503124089481692511897439217844540127553498009<259>] Free to factor
3×10264+2 = 3(0)2632<265> = 2 × 2829889 × 3358952338324081<16> × 4154699340626434657641325883<28> × [37982051253480650705742341345998763929841908299046509278133840775299117385093338922274827687116436815927547669433371449166994125541366099493429002087419372928333151544302736433328446684581756489985610272710542349283<215>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2504960820 for P28 / June 21, 2022 2022 年 6 月 21 日) Free to factor
3×10265+2 = 3(0)2642<266> = 2 × 47 × 86869 × 160817 × 320237 × 3668948209<10> × 1292784002362290058808400108287100488419<40> × [15040336871393281922942916261720270457337455107058633252666895147250122108067259004968779867138081399911299740946462272291541851968766114708101963452048377257595158324670111691078717281223063899517973<200>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2937368604 for P40 / September 3, 2022 2022 年 9 月 3 日) Free to factor
3×10266+2 = 3(0)2652<267> = 2 × 241 × 12122933 × 137531909 × 1831541810569<13> × 30451228542192333698789<23> × [6693316851602935762638016718704734013684093354686377826357707926116556770268475584061660897649348422854415776846962604715426054985549707550663333230917870498918413527686142423226227417421149821737580561262677518893<214>] Free to factor
3×10267+2 = 3(0)2662<268> = 2 × 199 × 10829567684633<14> × 696028563809331578068430922493450172835018356553711208697580061654234617538333984191082784137788865882715701036777991998154917187907701963325929728095859062780597051602014526059061112700925649984775662005833326947936907686397694259794017851116232252303<252>
3×10268+2 = 3(0)2672<269> = 2 × 7 × 23689 × 343823237 × 131752901117<12> × 1483734050089<13> × 1345844909135761957154259234918339028295624149322347916131587082595096573099832061003311916714248891662445750444390944744930227033456883426569793513934543462961710387249664505605868200840973033398516659368252430160109330842666671127<232>
3×10269+2 = 3(0)2682<270> = 2 × 29524787 × [5080476956531473029763093633833835956208591784252330084548958812133005396448753381353775727492970567408327111724802620930000274007057188930778738556183318104885904850050230675669226673845267706757715136099034346970902787545935555775559024354688824681444780617723<262>] Free to factor
3×10270+2 = 3(0)2692<271> = 2 × 67399 × 52081417 × 1876422827139418759<19> × [227732129263176751570288707844042525288129877930220589810481365421643372627104290836287311078367716541091900453332243356451091462040321917057633789747825477056851477817166460626377526115967953674858116366339345106032405033167429430914441033<240>] Free to factor
3×10271+2 = 3(0)2702<272> = 2 × 58288129 × 207460531 × [1240439704472490629031451429652382454895014074159156880259546298325845268977075059690703524418664428632326645851862724222958643088830578213193714188749252216673592804683680542682985239201564259333606900757409912678163875890208389500438668571278796949413499<256>] Free to factor
3×10272+2 = 3(0)2712<273> = 2 × 310911602067429371<18> × [482452243668502755557813267711283084324314060242343554974197027623903122139683252827551234715918541929587590721206931571063019524511596682395480222382907394243140637945495535797974189904417324704758330870056708409428199522840083775684874626898818043124531<255>] Free to factor
3×10273+2 = 3(0)2722<274> = 2 × 19 × 569659 × [138587064227990133709723480926400937365945887664467043580365391262233426627065259077891565970075726743635458368861667104447804000195500151937618081953183257093509588977560998865341509477368778607257287161913392139212369061786825193021753272340858395341035509609118881<267>] Free to factor
3×10274+2 = 3(0)2732<275> = 2 × 7 × 21601 × 9333371 × 280584262259421599460184513<27> × [37880658909458816060702854681850722713186215790528185519528953157929631069798048840744277959504076548766956928031783783394712130955255274767709842383651423650440690282850371053971844929176772072276300701498197712134813995466345001222741<236>] Free to factor
3×10275+2 = 3(0)2742<276> = 2 × 61 × 48915565050137<14> × [50270632485226415148386313330999987266429632683833823323914914588541936904893641299481640531165746429512160811060378476019337009421461723062093747092226099926344863951628237022838590117528746727149365340317410572145892472093462240638086312477169239377584390493<260>] Free to factor
3×10276+2 = 3(0)2752<277> = 2 × 79 × 5019608869485229185983891<25> × [3782633720244240498657044885805671367859499414281480343690847520735469400662070770486985400901005286191729027252287711526155754776252560311366640657835691703390173004239706789907801482182192636083007382889950212787616602601350139326757192520724331509<250>] Free to factor
3×10277+2 = 3(0)2762<278> = 2 × 31 × 647 × 13429621 × 208067062727<12> × 64730238591907051390193<23> × [4134766452090670245588584555299395451627360500208074791150581794884252719308221185757074636632663985770833796332028553963087242617624386251852156925920118378949877078928046679738916250252932038160019091789892174123319497360523448803<232>] Free to factor
3×10278+2 = 3(0)2772<279> = 2 × 29 × [5172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069<277>] Free to factor
3×10279+2 = 3(0)2782<280> = 2 × 17 × 9030159503<10> × 39498747307850387<17> × 741161732822746639478379048371446997<36> × [333772541654346049087721990183130588976162089267756319054331499489439749021401491919183504385130089381922734175037743982322112744069525030333902644280501733980575548473030916276578119907681832234030339275404975398609<216>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:375385994 for P36 / June 7, 2022 2022 年 6 月 7 日) Free to factor
3×10280+2 = 3(0)2792<281> = 2 × 7 × 1489 × 64224847 × [22407605143733677298952075000994848259612433339315027940718794069086379594850074050931305171726512918544336643448067646096753516622383156706795400497536212796529659802921177298232510780816700547349834830845580875981989803477625760103741776387768806986889915583805106121<269>] Free to factor
3×10281+2 = 3(0)2802<282> = 2 × 173 × 383 × 728911 × 3105788501484695555822044310055177848688511863990194178110425504280287985238449960739954275292571861629112885827130842711475788666026678681113261454692039623676453133372022688695454892282935499904397835752493205329374739590983219324119635998484322122997349857029474858549<271>
3×10282+2 = 3(0)2812<283> = 2 × 131 × 70313567507083463359<20> × [162847400371710472284852031304414182530561941415390116547579897373717730934849764144642191751960548980842426573009616662295921428949484065231540684657878287476030612506782865729314639347193947974413353559073807875939294408478947058168030983110175130248730162069<261>] Free to factor
3×10283+2 = 3(0)2822<284> = 2 × 83 × 3137 × 662719953714673726980023<24> × [86929784118706466165598373041377912185444901417639519022664755626807881972459702297669142686959581648010026956762491070281574300991553053117116865638634594774324132459420738593674240463589830420595046258061569715072462971818899529668948378099889497803197<254>] Free to factor
3×10284+2 = 3(0)2832<285> = 2 × 557 × 17455586494393942930544329<26> × [15427715393766632156675945858217835583431664263204090539075357833072960017166559578927122689038212939341361520898091316127581407040160811319327542988842561675376260215248655376600518640877559044603484341931655898806062466238389190686768179947837684717457917<257>] Free to factor
3×10285+2 = 3(0)2842<286> = 2 × 23 × 414769 × 23341266430438620473<20> × 6736475234685365011920765141991949504114555149336032513653865537379776143421299799988391047305452095194483250932680765052937825665839659077603599953766380260286354603293321774745705944608434935978889478387373318187329833213691660983583284420815045702202465551<259>
3×10286+2 = 3(0)2852<287> = 2 × 7 × 6581 × 16273 × 22919241570268188553<20> × 873038631997390359239541916782403354426598946206940615995702378003819115403133682722013730295590003691299387703907635700628232550492449128758012664289640426987212069367070254393733388514924337606292652943931715622241722786567205684225684315774067820934015987<258>
3×10287+2 = 3(0)2862<288> = 2 × 12835766045816370307170301<26> × [11686096448360423341825582303103722157256350086259075643293893353250809811784224025563651869500645805785806402940288973552878586434596196722252886100529097852100859070171777596668520688993492300085022734466735376833882788522260177929402211182306561117215067919701<263>] Free to factor
3×10288+2 = 3(0)2872<289> = 2 × 179 × 2887 × 3793 × 85837590103<11> × 5739521191093108391976827<25> × [1553300283519432363246580484268636738558106085206502541653404549203063814217637293014823880985000339670514429946459524512484758979940083531930377961050772182766178111541901379499776722270743245417601590583732489409346426926148026343398409743889<244>] Free to factor
3×10289+2 = 3(0)2882<290> = 2 × 79 × 189873417721518987341772151898734177215189873417721518987341772151898734177215189873417721518987341772151898734177215189873417721518987341772151898734177215189873417721518987341772151898734177215189873417721518987341772151898734177215189873417721518987341772151898734177215189873417721519<288>
3×10290+2 = 3(0)2892<291> = 2 × 3410161 × 40495831 × 95660514419762933<17> × [11354639449260954484536388334824748431660822721809972063275082072715356928937822153727572879007257329059531314953529769478074025125568409354965302809995162512256750790480659679737655411365228395221566894198691353466168351209332067902657364348351072327695840667<260>] Free to factor
3×10291+2 = 3(0)2902<292> = 2 × 19 × 211 × 12799 × 20152664527321<14> × 8060704290954374179007<22> × [179959052980218715517312505481087339147718763215637309877678130689607877018466442405655775303937347360891750454348886155204348049280606492713469230272636280628031447540709462154434907650908300070150586604808722455763579140823747175153092248014474113<249>] Free to factor
3×10292+2 = 3(0)2912<293> = 2 × 7 × 31 × 2833 × [24399726072408627092479841759643178405917096237399574794106978158991868384624268618210979551402902916743254695727282635040283947745546643329684218745170887548169125887946697985070620940495574703014667488666327239366192715543113502645743630451508797727897508137308645148277135342027226841<287>] Free to factor
3×10293+2 = 3(0)2922<294> = 2 × 80771892317<11> × 2419022748852961021<19> × 3964975867790129795231479<25> × 1138635480036272454177639743<28> × [170045752415399189631286933688266138289676866587653066652505718231333036486267160212437023737916318355438902906189083734618405251895288017780194375027061597998861385656343563717533851140694345369836425909393226769<213>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2347200344 for P25 x P28 / June 23, 2022 2022 年 6 月 23 日) Free to factor
3×10294+2 = 3(0)2932<295> = 2 × 293357 × 3060614990146096692310040475034702139<37> × [1670652413290886906454099087363649417244947297237156627584601076128432654744712426815313982622919300699046576928991447758418994165392771559664406442326859947577116854391037537931732691299737382642363636095067384628967419137693452704859488585364871054687<253>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1991446615 for P37 / September 3, 2022 2022 年 9 月 3 日) Free to factor
3×10295+2 = 3(0)2942<296> = 2 × 17 × 3959405371<10> × 3356717949227<13> × 27461141156311<14> × 16994954374407457160358797<26> × 1306034344994192858689226485151147<34> × [108919173617296959000427835998690500654586951086754083977050865640983079882509138093051831405043768232346122636191893082394841017617309948786412175873198376565201019970506224853862325393670472990156241<201>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3805320275 for P34 / June 23, 2022 2022 年 6 月 23 日) Free to factor
3×10296+2 = 3(0)2952<297> = 2 × 241 × 6299 × 12598403 × [7843088428948531142877785694938400357857498392995741284636899421554452198584464280991740688000776198745618323607982437635323148863716253497488486983042077469671887275337925706089714530250773055331030310006280282949067324817879696558311892272868472902298871725675555004614211733227713<283>] Free to factor
3×10297+2 = 3(0)2962<298> = 2 × 499 × 19550749 × 28867337 × 5649516008491<13> × 942777800063332495674988233807092153512768957347142814855977808539989720546427879765377987726707985631331515412088556621449884323572573532168768157738765289517239860787754626253501232544954654824075374164813269777965736247917619581292559647032892262983977330385045053<267>
3×10298+2 = 3(0)2972<299> = 2 × 7 × 186587957 × 11707260601<11> × 5044399672536230818882468998945138529<37> × [194466516602938130620309647615351646612903892198999880341533960452757555131386119394874120579005915324356396549851199355451826343508398462237252355017148097653978405533656318449749580500312254855561844745562190665638616898697235423850466764531<243>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2734127986 for P37 / September 2, 2022 2022 年 9 月 2 日) Free to factor
3×10299+2 = 3(0)2982<300> = 2 × 12107 × [12389526720079292971008507475014454447840092508466176592054183530189146774593210539357396547451887337903692078962583629305360535227554307425456347567522920624432146691996365738828776740728504171140662426695300239530849921532997439497811183612785991575121830346080779714214916990170975468737094243<296>] Free to factor
3×10300+2 = 3(0)2992<301> = 2 × 107 × 27611 × 7327763 × 1610244873254174053419532423<28> × [43029074561450797679437699266367293821192042532931664012465710349700644538038808473658322074054373094147197473333575818860487419435295773453553506117968953330430355955298792830111371877567794053234236147419143367595244319385177250733803275193390944165606470437<260>] Free to factor
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