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

21w4 = { 24, 214, 2114, 21114, 211114, 2111114, 21111114, 211111114, 2111111114, 21111111114, … }

19×10n+269 (1≤n)

2. Prime numbers of the form 211...114 211...114 の形の素数

2.1. Last updated 最終更新日

May 28, 2022 2022 年 5 月 28 日

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

No prime number of the form 211...114 exists. 211...114 の形の素数は存在しません。

3. Factor table of 211...114 211...114 の素因数分解表

3.1. Last updated 最終更新日

June 28, 2024 2024 年 6 月 28 日

3.2. Range of factorization 分解範囲

• n≤100 / Completed 終了 / May 27, 2022 2022 年 5 月 27 日
• n≤150 / Completed 終了 / June 2, 2022 2022 年 6 月 2 日
• n≤200 / Completed 終了 / December 14, 2022 2022 年 12 月 14 日
• n≤300 / Remaining 57 残り 57

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

n=213, 222, 223, 230, 231, 233, 235, 239, 241, 243, 246, 247, 248, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 263, 264, 265, 266, 267, 268, 269, 271, 272, 273, 274, 275, 276, 277, 279, 281, 283, 284, 285, 286, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300 (57/300)

3.4. Factor table 素因数分解表

19×101+269 = 24 = 23 × 3
19×102+269 = 214 = 2 × 107
19×103+269 = 2114 = 2 × 7 × 151
19×104+269 = 21114 = 2 × 33 × 17 × 23
19×105+269 = 211114 = 2 × 105557
19×106+269 = 2111114 = 2 × 71 × 14867
19×107+269 = 21111114 = 2 × 3 × 199 × 17681
19×108+269 = 211111114 = 2 × 105555557
19×109+269 = 2111111114<10> = 2 × 7 × 947 × 159233
19×1010+269 = 21111111114<11> = 2 × 3 × 3518518519<10>
19×1011+269 = 211111111114<12> = 2 × 103 × 1607 × 637717
19×1012+269 = 2111111111114<13> = 2 × 29 × 36398467433<11>
19×1013+269 = 21111111111114<14> = 2 × 32 × 1172839506173<13>
19×1014+269 = 211111111111114<15> = 2 × 31 × 241 × 28411 × 497297
19×1015+269 = 2111111111111114<16> = 2 × 7 × 61 × 2472027062191<13>
19×1016+269 = 21111111111111114<17> = 2 × 3 × 587 × 5994069026437<13>
19×1017+269 = 211111111111111114<18> = 2 × 547 × 701 × 275280692131<12>
19×1018+269 = 2111111111111111114<19> = 2 × 2843 × 371282291788799<15>
19×1019+269 = 21111111111111111114<20> = 2 × 3 × 1103 × 9063349 × 351961877
19×1020+269 = 211111111111111111114<21> = 2 × 17 × 89 × 339187 × 205685164847<12>
19×1021+269 = 2111111111111111111114<22> = 2 × 7 × 1965967 × 76702025412253<14>
19×1022+269 = 21111111111111111111114<23> = 2 × 32 × 75133 × 15610178033258881<17>
19×1023+269 = 211111111111111111111114<24> = 2 × 5516497513<10> × 19134524271389<14>
19×1024+269 = 2111111111111111111111114<25> = 2 × 1055555555555555555555557<25>
19×1025+269 = 21111111111111111111111114<26> = 2 × 3 × 216250511 × 16270567418536729<17>
19×1026+269 = 211111111111111111111111114<27> = 2 × 23 × 83 × 37409897779<11> × 1478048366987<13>
19×1027+269 = 2111111111111111111111111114<28> = 2 × 7 × 47 × 1127103447751<13> × 2846567061083<13>
19×1028+269 = 21111111111111111111111111114<29> = 2 × 3 × 1619 × 115151 × 464141 × 40662618780911<14>
19×1029+269 = 211111111111111111111111111114<30> = 2 × 31 × 3405017921146953405017921147<28>
19×1030+269 = 2111111111111111111111111111114<31> = 2 × 1550741 × 234816367 × 2898768023893631<16>
19×1031+269 = 21111111111111111111111111111114<32> = 2 × 35 × 121109298809<12> × 358671882801749311<18>
19×1032+269 = 211111111111111111111111111111114<33> = 2 × 229 × 41590477 × 1048968911<10> × 10565476668139<14>
19×1033+269 = 2111111111111111111111111111111114<34> = 2 × 7 × 1755571 × 1312108519529<13> × 65462849001689<14>
19×1034+269 = 21111111111111111111111111111111114<35> = 2 × 3 × 223 × 216808279597967<15> × 72774480650698759<17>
19×1035+269 = 211111111111111111111111111111111114<36> = 2 × 191 × 958501 × 13197104112971<14> × 43689443755037<14>
19×1036+269 = 2111111111111111111111111111111111114<37> = 2 × 17 × 709 × 235167845723<12> × 372398564738930070403<21>
19×1037+269 = 21111111111111111111111111111111111114<38> = 2 × 3 × 131 × 26858919988690981057393271133729149<35>
19×1038+269 = 211111111111111111111111111111111111114<39> = 2 × 139343 × 757523202138288651425299839644299<33>
19×1039+269 = 2111111111111111111111111111111111111114<40> = 2 × 72 × 173 × 688451 × 180869724718098909262492005091<30>
19×1040+269 = 21111111111111111111111111111111111111114<41> = 2 × 32 × 29 × 40442741592166879523201362281822051937<38>
19×1041+269 = 211111111111111111111111111111111111111114<42> = 2 × 71 × 163 × 593 × 15380853987432158493515618148183713<35>
19×1042+269 = 2111111111111111111111111111111111111111114<43> = 2 × 193 × 233 × 643 × 208196570993<12> × 175340935977797258165647<24>
19×1043+269 = 21111111111111111111111111111111111111111114<44> = 2 × 3 × 109 × 337 × 401 × 3454331 × 69150467351170529452525257353<29>
19×1044+269 = 211111111111111111111111111111111111111111114<45> = 2 × 31 × 241 × 24815053513<11> × 569360249801521621237109880659<30>
19×1045+269 = 2111111111111111111111111111111111111111111114<46> = 2 × 7 × 103 × 9199 × 14107 × 55481449 × 78570649 × 2587988907277347169<19>
19×1046+269 = 21111111111111111111111111111111111111111111114<47> = 2 × 3 × 3518518518518518518518518518518518518518518519<46>
19×1047+269 = 211111111111111111111111111111111111111111111114<48> = 2 × 2512341385252886828621<22> × 42014813820746165248289017<26>
19×1048+269 = 2111111111111111111111111111111111111111111111114<49> = 2 × 23 × 881 × 16451 × 17747 × 178426805367616791298427123575993387<36>
19×1049+269 = 21111111111111111111111111111111111111111111111114<50> = 2 × 32 × 409 × 64333 × 44573986207721062067635002359279975981209<41>
19×1050+269 = 211111111111111111111111111111111111111111111111114<51> = 2 × 311 × 2998999 × 10950857521<11> × 25351436438233<14> × 407655856070416141<18>
19×1051+269 = 2(1)504<52> = 2 × 7 × 134301721 × 2741771318336201<16> × 409515410089556167202802131<27>
19×1052+269 = 2(1)514<53> = 2 × 3 × 17 × 206971677559912854030501089324618736383442265795207<51>
19×1053+269 = 2(1)524<54> = 2 × 20323 × 721439 × 88956649219<11> × 80931063420076532618279990653699<32>
19×1054+269 = 2(1)534<55> = 2 × 1670269576093<13> × 631967181025144055979749916937623015939049<42>
19×1055+269 = 2(1)544<56> = 2 × 3 × 59 × 107 × 5113 × 9067 × 12022219232956154307336961564249527351136453<44>
19×1056+269 = 2(1)554<57> = 2 × 32911 × 3025271 × 10597671630171377<17> × 100038063057352543999720213661<30>
19×1057+269 = 2(1)564<58> = 2 × 7 × 150157109118803<15> × 1004239171082763503449231286767593328458017<43>
19×1058+269 = 2(1)574<59> = 2 × 33 × 1532359 × 77209439 × 174241470288067923043<21> × 18964215608189630405437<23>
19×1059+269 = 2(1)584<60> = 2 × 31 × 953 × 107112559 × 33356932514729417889512333235100920364389194461<47>
19×1060+269 = 2(1)594<61> = 2 × 7285147 × 17612127831208007<17> × 8226800153113673156495144413146823433<37>
19×1061+269 = 2(1)604<62> = 2 × 3 × 1629359175294367043<19> × 363535689776876765107<21> × 5940130098226578455119<22>
19×1062+269 = 2(1)614<63> = 2 × 499 × 1049 × 3181 × 25933 × 658979 × 117397898021<12> × 31597792070515804653044998972201<32>
19×1063+269 = 2(1)624<64> = 2 × 7 × 127747 × 176512253 × 6687402874497575566648892772245696144297799092261<49>
19×1064+269 = 2(1)634<65> = 2 × 3 × 89 × 7449668258811692269591<22> × 5306802204467079788612237674280569763081<40>
19×1065+269 = 2(1)644<66> = 2 × 197 × 571 × 1093 × 40939 × 494563 × 115513747 × 303122637139331<15> × 1211009932102118469151823<25>
19×1066+269 = 2(1)654<67> = 2 × 349 × 907 × 105563 × 203419 × 10132279 × 408413741 × 37526465157350286781080018718463353<35>
19×1067+269 = 2(1)664<68> = 2 × 32 × 83 × 14768983 × 87616864369<11> × 3660651890978611<16> × 2983072202287160991044232961123<31>
19×1068+269 = 2(1)674<69> = 2 × 17 × 29 × 1089705088264841<16> × 196483098284380735514661401510720496143674465979089<51>
19×1069+269 = 2(1)684<70> = 2 × 7 × 9419 × 721365157 × 2779976711<10> × 6711960323<10> × 7458790705039<13> × 159464545115952660998591<24>
19×1070+269 = 2(1)694<71> = 2 × 3 × 23 × 928578631 × 4940656803869887<16> × 33344839600141902381273632951894740532115049<44>
19×1071+269 = 2(1)704<72> = 2 × 1667 × 229781139499<12> × 23629522542067903<17> × 11662084150503401643995550248478230238043<41>
19×1072+269 = 2(1)714<73> = 2 × 1392625676865516817<19> × 74100549959675073281500219<26> × 10228813641716376551789179759<29>
19×1073+269 = 2(1)724<74> = 2 × 3 × 47 × 113 × 2755421 × 745761901 × 35797354364947470351311<23> × 9006259415167240417359461490559<31>
19×1074+269 = 2(1)734<75> = 2 × 31 × 241 × 291581794169038585436526767<27> × 48455374613714663811712752414277149815064901<44>
19×1075+269 = 2(1)744<76> = 2 × 7 × 61 × 1420552477<10> × 28962944990284265090531<23> × 60083222795282628910150845630474648411593<41>
19×1076+269 = 2(1)754<77> = 2 × 32 × 71 × 15263 × 3134479 × 2855678218377696787969<22> × 120910968512457807247978499495961109271851<42>
19×1077+269 = 2(1)764<78> = 2 × 46993 × 57941526159557<14> × 983776840695645242089<21> × 39405913544958673415113681408534158313<38>
19×1078+269 = 2(1)774<79> = 2 × 151 × 309173 × 1582087789378028472111571<25> × 14291309013084732315390135930775134144649119629<47>
19×1079+269 = 2(1)784<80> = 2 × 3 × 103 × 1542115819<10> × 22151626710081241257052120024499385595566647440368133875046272638867<68>
19×1080+269 = 2(1)794<81> = 2 × 1031 × 58192452492301<14> × 53651896968562679621<20> × 32792210107735226271110835376753529225574707<44>
19×1081+269 = 2(1)804<82> = 2 × 72 × 3845563 × 295799038439969<15> × 1174911402888868012265563<25> × 16118447482796302265822873486311613<35>
19×1082+269 = 2(1)814<83> = 2 × 3 × 173 × 60191533783<11> × 49195176326581<14> × 6868403588500634343569204767800507199918100237257378961<55>
19×1083+269 = 2(1)824<84> = 2 × 530333 × 960685982618649320214886796131<30> × 207181508058194961202455882226317783077850062659<48> (Eric Jeancolas / ECM for P30 x P48 / May 27, 2022 2022 年 5 月 27 日)
19×1084+269 = 2(1)834<85> = 2 × 17 × 863 × 52840231 × 241876919 × 85828029101<11> × 65589316239195723340683308153241776884838208136774903<53>
19×1085+269 = 2(1)844<86> = 2 × 33 × 97879 × 35602727 × 27217766123<11> × 52537370563<11> × 238256026747243<15> × 742983585830477<15> × 443200884598940772593<21>
19×1086+269 = 2(1)854<87> = 2 × 12264560087491<14> × 685191688484441<15> × 12560792298743965275807312603592822433679488056696129253647<59>
19×1087+269 = 2(1)864<88> = 2 × 7 × 1471 × 23253458445600091<17> × 304162597297271678994911<24> × 14493625024822199245779219432216762482480681<44>
19×1088+269 = 2(1)874<89> = 2 × 3 × 367259 × 447077791 × 4196664586530763<16> × 262606113331105139103290407<27> × 19444429488675366441846996413911<32>
19×1089+269 = 2(1)884<90> = 2 × 31 × 373 × 34213 × 103423 × 5855180784413<13> × 2652431824661771<16> × 166118401211380402853180826475537663744703266307<48>
19×1090+269 = 2(1)894<91> = 2 × 84660876029<11> × 4392245892113890933<19> × 2838648982484949858999446483704746084829654983199755880226501<61>
19×1091+269 = 2(1)904<92> = 2 × 3 × 257 × 57485752710452057<17> × 195656680532078275693130352248653<33> × 1217227664930449204989315523058570182027<40> (Eric Jeancolas / ECM for P33 x P40 / May 27, 2022 2022 年 5 月 27 日)
19×1092+269 = 2(1)914<93> = 2 × 23 × 179 × 2042549 × 2339639 × 16690402430407<14> × 321449004078135111537674226942340619957662866106681425201360173<63>
19×1093+269 = 2(1)924<94> = 2 × 7 × 7596882061<10> × 2258637123899441<16> × 1140706054502021710669<22> × 7704198481590733663744344046167798093287499179<46>
19×1094+269 = 2(1)934<95> = 2 × 32 × 97 × 16421 × 17317 × 18211 × 32846282888701749563<20> × 27148723326723976470494981669<29> × 2618334686921630530808720080561<31>
19×1095+269 = 2(1)944<96> = 2 × 3327619537950053<16> × 31721040927828548645448483382101650274371416640543112685168024880385722417962369<80>
19×1096+269 = 2(1)954<97> = 2 × 29 × 367 × 163781 × 475331 × 8094889151<10> × 157378887248080023545052246939410932593515024102146238139147622576271959<72>
19×1097+269 = 2(1)964<98> = 2 × 3 × 15859153 × 521405349973<12> × 4152979845584621677<19> × 102457686599213012107275038604442383401588361405313433756663<60>
19×1098+269 = 2(1)974<99> = 2 × 47768381 × 2209736929446186496367870528321978414038264255921831547013401093823036530284657450616874697<91>
19×1099+269 = 2(1)984<100> = 2 × 7 × 57719 × 465929632050553921867<21> × 362758266983504679950140607024354867<36> × 15457049855917342835013964936718575861<38> (Eric Jeancolas / ECM for P36 x P38 / May 27, 2022 2022 年 5 月 27 日)
19×10100+269 = 2(1)994<101> = 2 × 3 × 17 × 155406114718557172602136888687<30> × 1331811672499127184925331509548570597844627765378655678244820590841961<70> (Eric Jeancolas / ECM for P30 x P70 / May 27, 2022 2022 年 5 月 27 日)
19×10101+269 = 2(1)1004<102> = 2 × 331 × 2469458331347242236726073354968057113<37> × 129137210105652588337608473245973261089111652297680548879417319<63> (Eric Jeancolas / ECM for P37 x P63 / May 27, 2022 2022 年 5 月 27 日)
19×10102+269 = 2(1)1014<103> = 2 × 7140961 × 54601259 × 2707208954342715289273555723679959650593480802616206088309918198834308153932822833440143<88>
19×10103+269 = 2(1)1024<104> = 2 × 32 × 160553 × 6682999 × 7688481882098473<16> × 8863418250248182856369884837<28> × 16040094647737311265539114795125889738634947359<47>
19×10104+269 = 2(1)1034<105> = 2 × 31 × 241 × 72211471 × 3613089576893<13> × 54152366277071799134196561805395533436122178660888658025905815944844963150666889<80>
19×10105+269 = 2(1)1044<106> = 2 × 7 × 42430440740482963294330306248663994676981<41> × 3553902532286879779794424114404382532794523365453442947702488071<64> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P64 / May 29, 2022 2022 年 5 月 29 日)
19×10106+269 = 2(1)1054<107> = 2 × 3 × 199 × 14629 × 6774899 × 1128811016899<13> × 56811735299720149750450970957602213<35> × 2781826278748336925180887133405252090769685153<46> (Eric Jeancolas / ECM for P35 x P46 / May 27, 2022 2022 年 5 月 27 日)
19×10107+269 = 2(1)1064<108> = 2 × 36931 × 121919829463<12> × 23443134643926198063635364722568926337043611502090979265890206524410874470866088538867758369<92>
19×10108+269 = 2(1)1074<109> = 2 × 83 × 89 × 107 × 547 × 7457347 × 327384068092528197274670909021216299316216522992999703021012655632540056250256459728112198197<93>
19×10109+269 = 2(1)1084<110> = 2 × 3 × 14987269603<11> × 19106544224561<14> × 870610490920097697090117047<27> × 14113388004347711773337571834992369100343420001659652749819<59>
19×10110+269 = 2(1)1094<111> = 2 × 1451 × 8845673 × 11173468129<11> × 524949698946479620027<21> × 1402093955974519040748525094674212985218807948331585317818391866753973<70>
19×10111+269 = 2(1)1104<112> = 2 × 7 × 71 × 92797755601662791723915515199533<32> × 274439411206787095007299256236711<33> × 83395142608313317225690149486606878394157487<44> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:154649500 for P32, B1=1000000, sigma=1:3658281504 for P33 x P44 / May 27, 2022 2022 年 5 月 27 日)
19×10112+269 = 2(1)1114<113> = 2 × 34 × 467749163456774817740676719989852964286550851833<48> × 278601247991143966981180359934367943062019639704213514975714109<63> (Eric Jeancolas / cado-nfs-3.0.0 for P48 x P63 / May 30, 2022 2022 年 5 月 30 日)
19×10113+269 = 2(1)1124<114> = 2 × 59 × 103 × 478546343730680177<18> × 109068445255914625109<21> × 332788825273245584898111861221844488153092419407325990603539592867790837<72>
19×10114+269 = 2(1)1134<115> = 2 × 232 × 431 × 539911235043183306427141<24> × 813448981204976843058961<24> × 10541331455884351932786502004252401383248528720109457349596943<62>
19×10115+269 = 2(1)1144<116> = 2 × 3 × 1429 × 1783 × 6740044680823997<16> × 204886570761388121882016687837136437085906128344666399958285323661789501558187057902808162561<93>
19×10116+269 = 2(1)1154<117> = 2 × 17 × 149 × 16616522969197<14> × 2507874235875207221915881046699063275285174510492395679900404131336183818159444807584193143403923557<100>
19×10117+269 = 2(1)1164<118> = 2 × 7 × 6427 × 196159 × 119609731939117128180004637097824695464662140273289424003193443663946990112842082238916671992916358536274807<108>
19×10118+269 = 2(1)1174<119> = 2 × 3 × 7883 × 13121 × 1479018522643<13> × 134751782827367<15> × 81300200774926348683867319<26> × 2099431108907932734432956501579124997828148269933561222247<58>
19×10119+269 = 2(1)1184<120> = 2 × 31 × 47 × 4532951249<10> × 33857322257143372038836284127<29> × 292999227609489022818763266239<30> × 1611095976494023161889870306587948774161251168133<49> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:800348894 for P30 x P49 / May 27, 2022 2022 年 5 月 27 日)
19×10120+269 = 2(1)1194<121> = 2 × 181 × 41135936530332877737631<23> × 141768952924602729615825657162086452213502730485335829788416126029617631399161358718515722658287<96>
19×10121+269 = 2(1)1204<122> = 2 × 32 × 25037580598463767<17> × 11226611280470768807<20> × 4172511482801106098784843520681309026656238541235771487144456293007831678280276376317<85>
19×10122+269 = 2(1)1214<123> = 2 × 163 × 488576233141249584491143<24> × 155125874442583374370121752839221539<36> × 8544308331201839933572748434079370731465786672462659186743707<61> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3720067908 for P36 x P61 / May 27, 2022 2022 年 5 月 27 日)
19×10123+269 = 2(1)1224<124> = 2 × 73 × 276623 × 770221420664275323655147<24> × 14443854209936448237092733109650760812283164964472434824673817351853340485401601229161201479<92>
19×10124+269 = 2(1)1234<125> = 2 × 3 × 29 × 4629979 × 1361296061584412820989<22> × 4015614712603461196543<22> × 905578047535779728910626303<27> × 5293614498945023801739911203471909702508078989<46>
19×10125+269 = 2(1)1244<126> = 2 × 173 × 2341 × 4157 × 621227 × 3274619431<10> × 12339084308437<14> × 57781866490500143567319377<26> × 43228274340621374681285003564432098088630791644112127682258089<62>
19×10126+269 = 2(1)1254<127> = 2 × 88728539 × 8581245337837<13> × 4515750239255228189<19> × 306999404533445668980522650034574892023221661785181941849287937743441421114882955602391<87>
19×10127+269 = 2(1)1264<128> = 2 × 3 × 379 × 184013 × 4443852731897<13> × 11353047823673918494109994802003531373122318168789131343931207119460980443192551912291964399115313712330001<107>
19×10128+269 = 2(1)1274<129> = 2 × 1335877478777<13> × 79015895718364827902567636726981710383091559679617125549363479128660130216363026652839104041171335411618810105224141<116>
19×10129+269 = 2(1)1284<130> = 2 × 7 × 185772283 × 811712319827876549543150367558602881845370069514895252973736942198480672441290129344272491127180962693184933571568643497<120>
19×10130+269 = 2(1)1294<131> = 2 × 32 × 191 × 862215071 × 27778905082522408287257389477<29> × 256374298789342709901667406465066593202229385928393507590876611525265649931605481749352409<90>
19×10131+269 = 2(1)1304<132> = 2 × 463 × 3499 × 49613 × 234149 × 1311510653<10> × 4276579439473448170122160885200029723283230159924564607344183556219349201065873386727807757037869629714901<106>
19×10132+269 = 2(1)1314<133> = 2 × 17 × 1364399 × 45508317777991523160857144279192245754381731252047305446037393648199060778260161155875248134701478153753607246748355246761979<125>
19×10133+269 = 2(1)1324<134> = 2 × 3 × 12253 × 27023163127739<14> × 326748766970483880298454052188971<33> × 32521252798268219641491762370549493218083384058868217661403414905635337185705820267<83> (Eric Jeancolas / cado-nfs-3.0.0 for P33 x P83 / June 1, 2022 2022 年 6 月 1 日)
19×10134+269 = 2(1)1334<135> = 2 × 31 × 241 × 228921171152310394778305685407157648467042815366253<51> × 61718647497218224059936348555283945269983006348138973098185645661516769177640439<80> (Dmitry Domanov / Msieve 1.54 snfs for P51 x P80 / June 1, 2022 2022 年 6 月 1 日)
19×10135+269 = 2(1)1344<136> = 2 × 7 × 61 × 87251 × 73294007 × 91475345259911<14> × 4225813098880010769296899899991990587128082776104594988972153033916990246759860000171984616602968594980533<106>
19×10136+269 = 2(1)1354<137> = 2 × 3 × 23 × 53617 × 144619775947599106470878243789<30> × 83265045503362645534075697783538281658301<41> × 236940383208545482891295398274134234569357447702987601145881<60> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3969685258 for P30 / May 27, 2022 2022 年 5 月 27 日) (Dmitry Domanov / Msieve 1.54 gnfs for P41 x P60 / June 1, 2022 2022 年 6 月 1 日)
19×10137+269 = 2(1)1364<138> = 2 × 382824224113<12> × 34331351173686967<17> × 3110530806997197007<19> × 228355527983310008759448370526333967101<39> × 11306931269320494103584058902100614454916371012411681<53> (Eric Jeancolas / cado-nfs-3.0.0 for P39 x P53 / May 30, 2022 2022 年 5 月 30 日)
19×10138+269 = 2(1)1374<139> = 2 × 12255011842561<14> × 89432617846795252475730201396363244983689086916748066193699<59> × 963100075924644210238844726014476982379041822905203477886593330263<66> (Eric Jeancolas / cado-nfs-3.0.0 for P59 x P66 / June 1, 2022 2022 年 6 月 1 日)
19×10139+269 = 2(1)1384<140> = 2 × 33 × 23887 × 4454639831<10> × 3674033620606457793923640440955599988316568876895233454023082662152294553376834252667236724189619133062099353018544675041303<124>
19×10140+269 = 2(1)1394<141> = 2 × 79631 × 8453383 × 17785699 × 6237953500414829813<19> × 1413368177788550934249898112215959011767609220517085768925815156005249605839287651338268273712382825507<103>
19×10141+269 = 2(1)1404<142> = 2 × 7 × 809 × 8783 × 21222261005345728938769601798965046625609008243063496730155562457034834493986606443430060578988718203605036199804692202144466583283733<134>
19×10142+269 = 2(1)1414<143> = 2 × 3 × 4111 × 203309614979903533<18> × 147335249770159288535623<24> × 28572469827021753883547837339122754223456021633573765274615815939075086209948377189424514343521531<98>
19×10143+269 = 2(1)1424<144> = 2 × 10333 × 2048278627<10> × 24107598447521649008172619159211542631109484532323586918147<59> × 206876749659120100448489106630531646171590192761126432886811440400880641<72> (Eric Jeancolas / cado-nfs-3.0.0 for P59 x P72 / June 2, 2022 2022 年 6 月 2 日)
19×10144+269 = 2(1)1434<145> = 2 × 8167 × 2355263 × 9380268467<10> × 1289605869324823<16> × 40730207683794410641<20> × 229723491718495508773997<24> × 484824801187561023403564708780769363913713971071631703489519030381<66>
19×10145+269 = 2(1)1444<146> = 2 × 3 × 52807901 × 1906183344336545177<19> × 34953950355170004312190904254507151937114168510823673565557916611252428022979950712148319636867874323411710792242416347<119>
19×10146+269 = 2(1)1454<147> = 2 × 71 × 5634873775522441254292186575569518571524442909856457845004393661717<67> × 263838734423712049961853654397865896772902199202263787825828934140642226766951<78> (Bob Backstrom / Msieve 1.54 snfs for P67 x P78 / May 29, 2022 2022 年 5 月 29 日)
19×10147+269 = 2(1)1464<148> = 2 × 7 × 103 × 107548093 × 1360598993489<13> × 296955743101013<15> × 33691569502052021150225942308586044605457963967971397551397214406700676224328860576726457413839268404696406917<110>
19×10148+269 = 2(1)1474<149> = 2 × 32 × 17 × 2315264919507152445272315147696084704541079768563329<52> × 29798127464965673244312460152755366050433450106550689691283716554621679783538971775559661638061<95> (Bob Backstrom / Msieve 1.54 snfs for P52 x P95 / May 31, 2022 2022 年 5 月 31 日)
19×10149+269 = 2(1)1484<150> = 2 × 31 × 83 × 643 × 47407 × 865247 × 52362721 × 8467636691379214665849216742061<31> × 3508030324153499434180614596659479873941505844146399206382119413275924322324985920004044809487<94> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:530033756 for P31 x P94 / May 27, 2022 2022 年 5 月 27 日)
19×10150+269 = 2(1)1494<151> = 2 × 172921129 × 54858241894439496771216877437346234629007<41> × 278332150216072155027040348872261295189730911<45> × 399786176763258262978632564148064504967631955696970508429<57> (Bob Backstrom / Msieve 1.54 snfs for P41 x P45 x P57 / May 31, 2022 2022 年 5 月 31 日)
19×10151+269 = 2(1)1504<152> = 2 × 3 × 109 × 671812142909865193619<21> × 9565260717331991354961970005358526045322916515994116017<55> × 5023294981375273747027876248244485474306756774802716286756073289184159217<73> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P73 / June 4, 2022 2022 年 6 月 4 日)
19×10152+269 = 2(1)1514<153> = 2 × 29 × 89 × 2215709113<10> × 331139318185020601234476085519805557<36> × 55740337907714072476060130447729063930953451627165215678195012196033795892122054088446286115656070551317<104> (Bob Backstrom / Msieve 1.54 snfs for P36 x P104 / June 1, 2022 2022 年 6 月 1 日)
19×10153+269 = 2(1)1524<154> = 2 × 7 × 151 × 2237 × 246338099339<12> × 6620962332030094663<19> × 273707955794139728293000642594523526728450363743978969939918186653132127032278812982321434946800022309506425073214989<117>
19×10154+269 = 2(1)1534<155> = 2 × 3 × 13229533 × 138618379 × 141322606213<12> × 58667447370624277<17> × 4905511245934125227<19> × 47173859069884486002076660174545883000434172222214485227068246330069345935302553278497382371<92>
19×10155+269 = 2(1)1544<156> = 2 × 42187 × 4342238958413841195913909497902832437<37> × 576220537722391216430076091271815406655071820957260704961204443062487795977068523732434017282560724980892422535603<114> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:682874956 for P37 x P114 / May 27, 2022 2022 年 5 月 27 日)
19×10156+269 = 2(1)1554<157> = 2 × 383 × 646820129 × 29667288647<11> × 1600751127449<13> × 2704463833093824923366046450482265889<37> × 33175382878304558885448176274542943891416428599395975385487632350860238479665135552853<86> (Eric Jeancolas / cado-nfs-3.0.0 for P37 x P86 / June 4, 2022 2022 年 6 月 4 日)
19×10157+269 = 2(1)1564<158> = 2 × 32 × 9437 × 10650851941<11> × 11668641144454371585571064008089260696577713973555713527388189502564760350206349452836212547688656873630307748919790991209467562355463842614669<143>
19×10158+269 = 2(1)1574<159> = 2 × 23 × 9661 × 25579 × 315736271976499692976243<24> × 15267005498015809768236905175625509501829574620780930345657<59> × 3852736231083708391529105062461032375460317762350527489979007606311<67> (Eric Jeancolas / cado-nfs-3.0.0 for P59 x P67 / June 4, 2022 2022 年 6 月 4 日)
19×10159+269 = 2(1)1584<160> = 2 × 7 × 20625861124067<14> × 34644447477511556471116793<26> × 10055724878051081833781217347337879476921<41> × 20985723403392736156182543686480486335595633510082760453284984613831869214720001<80> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P80 / June 6, 2022 2022 年 6 月 6 日)
19×10160+269 = 2(1)1594<161> = 2 × 3 × 38299 × 299976631 × 4297973740742751089269<22> × 115677143420455712154895400787646456968570757718303999897642423<63> × 615990011649343529985491723218787356317280382259923071757382673<63> (Eric Jeancolas / cado-nfs-3.0.0 for P63 x P63 / June 6, 2022 2022 年 6 月 6 日)
19×10161+269 = 2(1)1604<162> = 2 × 107 × 758591237260067<15> × 446394036696223547127334852657143635734700242742477010032262735431<66> × 2913205439206010023557798683790401945441866509360303647965165538316112715401363<79> (Bob Backstrom / Msieve 1.54 snfs for P66 x P79 / June 1, 2022 2022 年 6 月 1 日)
19×10162+269 = 2(1)1614<163> = 2 × 167 × 59351 × 106496806278486704596793394615182926817647973640986688201890322795519192837612223672036112327136485959410614388707266993423530747359946974903848237432454821<156>
19×10163+269 = 2(1)1624<164> = 2 × 3 × 197 × 115309 × 5300506223<10> × 5962173419497<13> × 56031698510733303570016934673090171141819816112579495381<56> × 87473130380063277901565846186579978031971678369460249470049159242411817521773<77> (Bob Backstrom / Msieve 1.54 snfs for P56 x P77 / June 2, 2022 2022 年 6 月 2 日)
19×10164+269 = 2(1)1634<165> = 2 × 17 × 31 × 241 × 851289029749000861<18> × 7084369142358918326979947<25> × 886869968763970562047736105863878307<36> × 155387210190196985371494761474543829724855587101209314556735217778018637782368279<81> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:646220102 for P36 x P81 / May 27, 2022 2022 年 5 月 27 日)
19×10165+269 = 2(1)1644<166> = 2 × 72 × 47 × 84061 × 6389489778673<13> × 20511809363002707166075230545287<32> × 10933636578707229600251868650221930982192477<44> × 3805027677627551042737897349846216950885292581472096538036783840295477<70> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2013277786 for P32 / May 27, 2022 2022 年 5 月 27 日) (Markus Tervooren / GMP-ECM B1=1012225, sigma=1:547694337 for P44 x P70 / May 30, 2022 2022 年 5 月 30 日)
19×10166+269 = 2(1)1654<167> = 2 × 33 × 557 × 3616874995976536122221<22> × 9431303103866387895149874550003357984939<40> × 20575809711180260153644026234841013536207954902012352771073363298789867537967572913648838061925265077<101> (Florian Baur / GMP-ECM (via yafu 2.0) B1=3000000, sigma=2359177824 for P40 x P101 / June 7, 2022 2022 年 6 月 7 日)
19×10167+269 = 2(1)1664<168> = 2 × 131 × 514171140657441311875671042061703<33> × 1567119458767056351867771172328593644577068308545536640698190142983178796935058220769464405141796660193569167587817646871979580188049<133> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2483915732 for P33 x P133 / May 27, 2022 2022 年 5 月 27 日)
19×10168+269 = 2(1)1674<169> = 2 × 173 × 116113 × 1679620862216088937<19> × 31285484599630626284724005505029297214679468533103059947718081058992212965401194607706197221284047370627580429639393949146429561781475364982689<143>
19×10169+269 = 2(1)1684<170> = 2 × 3 × 3733 × 19345091597999<14> × 759182457316111<15> × 4427212353820225982535301<25> × 2114180857773883164534694806323631670092591977<46> × 6856656715051419485153946996536479873872257312223844936932530809031<67> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P67 / May 30, 2022 2022 年 5 月 30 日)
19×10170+269 = 2(1)1694<171> = 2 × 47591 × 1136063 × 6668985609266987188266618505247159292650353589056504049<55> × 292748089441205074245541733698399558626714286087892269266030671980959272462681994753721033193028496143421<105> (Bob Backstrom / Msieve 1.54 snfs for P55 x P105 / June 4, 2022 2022 年 6 月 4 日)
19×10171+269 = 2(1)1704<172> = 2 × 7 × 59 × 5672568793<10> × 93062689933<11> × 4841452455676244572880388962338584677473771736955383566792787101603898864864963338763982744464599567505341059675752801905240730485773568456481941781<148>
19×10172+269 = 2(1)1714<173> = 2 × 3 × 641519 × 1913721032639483370242814103205965232440060842194852404500173987<64> × 2865970314230823718381143082048388722507500876329651795887253926427350537020820075101995700690182639923<103> (Bob Backstrom / Msieve 1.54 snfs for P64 x P103 / June 3, 2022 2022 年 6 月 3 日)
19×10173+269 = 2(1)1724<174> = 2 × 27103 × 14143568788603<14> × 448074596549348886446163336169119292052413<42> × 377176790603071549806015391961650846914044368598922941<54> × 1629331450030948322499361258460631185726950503254472870639481<61> (Bob Backstrom / Msieve 1.54 snfs for P42 x P54 x P61 / June 5, 2022 2022 年 6 月 5 日)
19×10174+269 = 2(1)1734<175> = 2 × 2801 × 51486483666326787647<20> × 25005743005671520157381<23> × 11168259015791007396673180499878879037178279833<47> × 26208943452694101371400342685743376967167039273588534490412548294226320385767401447<83> (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P83 / June 10, 2022 2022 年 6 月 10 日)
19×10175+269 = 2(1)1744<176> = 2 × 32 × 490786895329<12> × 159969928699046969<18> × 2334020130876858782110261<25> × 562080603531373760962303109689<30> × 11386862617991029168416881465159748319470794100713125419754625631155228772908212983245046937<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2446074788 for P30 x P92 / May 27, 2022 2022 年 5 月 27 日)
19×10176+269 = 2(1)1754<177> = 2 × 164809 × 229181 × 60586411 × 217840984408639<15> × 8973919329509681<16> × 3272528464067979870474359<25> × 14300838623640566685309797210067217398373<41> × 504173069722830073057407952703655450661624298906219202439149631<63> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P63 / May 30, 2022 2022 年 5 月 30 日)
19×10177+269 = 2(1)1764<178> = 2 × 7 × 433 × 24168231753386009896775207672971565248134426148873<50> × 14409545499350482652494241884634458377009442902121192121730544508976841973609450875982369728385989585071158512579943401041739<125> (Bob Backstrom / Msieve 1.54 snfs for P50 x P125 / June 4, 2022 2022 年 6 月 4 日)
19×10178+269 = 2(1)1774<179> = 2 × 3 × 8543 × 15553921 × 831084687347<12> × 5215865217389<13> × 685114690794144636681838044534827<33> × 8916093722915377376421742242441560795510008285395436546934323035985368261398233048247059810830834218885404253<109> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2294819990 for P33 x P109 / May 27, 2022 2022 年 5 月 27 日)
19×10179+269 = 2(1)1784<180> = 2 × 31 × 34104857 × 7966169641<10> × 268238216486955751<18> × 46723241578677203595752876804302255381513439846796914271852923001748193004471822398507926865977436635655729705970336345718887555440665911682381<143>
19×10180+269 = 2(1)1794<181> = 2 × 17 × 23 × 29 × 4572314939<10> × 1159990884164148845975083639<28> × 102893172908010902114914397295941688401268160995759340741536871<63> × 170580376148381807303999615555179285580585733337530311240100357402167512940893<78> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P63 x P78 / June 10, 2022 2022 年 6 月 10 日)
19×10181+269 = 2(1)1804<182> = 2 × 3 × 71 × 103 × 226907 × 3745868702057<13> × 4335329092147<13> × 20138485535679551145731525489<29> × 35925793123860775453247475751<29> × 180471480417069141427709766269003324989690192940334096403158270139721610359051484614886889<90>
19×10182+269 = 2(1)1814<183> = 2 × 349 × 345158193473<12> × 5292147628804841130436226995088699355321857<43> × 399681622050419875871188031963065661030641067<45> × 414277504705121907966208082784143209448526320686899775938948147544113264253182139<81> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:4006433763 for P43 / June 9, 2022 2022 年 6 月 9 日) (Florian Baur / CADO (poly select & sieving), msieve (post-processing) for P45 x P81 / June 10, 2022 2022 年 6 月 10 日)
19×10183+269 = 2(1)1824<184> = 2 × 7 × 1031 × 9365625062615431<16> × 45137458041844203517<20> × 476082678666360283662324703047879651344489331182141875689604649<63> × 726721726787106813408216641449251951450822863644636579532937664831162012337771527<81> (Bob Backstrom / Msieve 1.54 snfs for P63 x P81 / June 10, 2022 2022 年 6 月 10 日)
19×10184+269 = 2(1)1834<185> = 2 × 32 × 5453992657506094977852415596700490754371730161118256112204848613<64> × 215042369842341289894066835270530957410295491745755014119013445757769613881065613046277508054135964657494908495433848121<120> (Bob Backstrom / Msieve 1.54 snfs for P64 x P120 / June 10, 2022 2022 年 6 月 10 日)
19×10185+269 = 2(1)1844<186> = 2 × 113 × 1109 × 3509063 × 2885487429188028371479782492138228683163421613762903<52> × 83188013611007902331114725398963636186040402697607277181401437062259774349626746604630102179336048172168769704346503959489<122> (Bob Backstrom / Msieve 1.54 snfs for P52 x P122 / June 12, 2022 2022 年 6 月 12 日)
19×10186+269 = 2(1)1854<187> = 2 × 201701 × 10135639 × 6100178900415813840013<22> × 84640717993596389273669132238354882078464014105491454820504430619845041842315584037816935410102450503765041075164385204009231798740676891137035900250051<152>
19×10187+269 = 2(1)1864<188> = 2 × 3 × 33093615589291356515986943963<29> × 106320160425658150561220801116871313451983206734508983218687980109169192809667807137793306291072065722517291099424676631206273984756942506521249696346779669013<159>
19×10188+269 = 2(1)1874<189> = 2 × 1051 × 7193 × 10799 × 51341 × 1053681556496651<16> × 66253769908878215098005462055937<32> × 142271101309504835236502495355824771437331<42> × 2535617778334163241394280768067911374643019472849682300655468161547695631729618469613<85> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2167030812 for P32 / May 27, 2022 2022 年 5 月 27 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:1749242446 for P42 x P85 / June 5, 2022 2022 年 6 月 5 日)
19×10189+269 = 2(1)1884<190> = 2 × 7 × 3527 × 4339 × 12791 × 19069 × 547411 × 4744237 × 114982794508859<15> × 33873245221670657876328581<26> × 3993796816146861037735225878970735269429534448136997690485350485556430188983037769948333721319115872943713587278046689941<121>
19×10190+269 = 2(1)1894<191> = 2 × 3 × 83 × 97 × 150996804270827<15> × 190970370990527083306184274050098333663595039<45> × 15155709310030715444852277376470296911259718855945558577122219596043881415066228783367230977101281352550923559282997948525941273<128> (Bob Backstrom / Msieve 1.54 snfs for P45 x P128 / June 22, 2022 2022 年 6 月 22 日)
19×10191+269 = 2(1)1904<192> = 2 × 25951 × 159811 × 31456997779<11> × 809101595217671109055096141925674641641248585178847498698356063072415802423394161083526004320657483701415145159392824246216090333338907376796504477485164644805750132728403<171>
19×10192+269 = 2(1)1914<193> = 2 × 1381 × 34231 × 571215283831<12> × 1148492284861<13> × 19891131790403<14> × 949509963012900270913<21> × 10473727466630324893363090453960864648801<41> × 172059889424125423426682022813479506832912887032991687453166327405219271525727154339063<87> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1693708126 for P41 x P87 / June 3, 2022 2022 年 6 月 3 日)
19×10193+269 = 2(1)1924<194> = 2 × 34 × 3424763 × 6380741 × 1718100735079<13> × 5122934441663262150845639134782797441<37> × 14460707409884533762089624245951519323347881951986941150077769827<65> × 46853007843079697298463860118182356610191777837379452749489681303<65> (Bob Backstrom / Msieve 1.54 snfs for P37 x P65 x P65 / June 30, 2022 2022 年 6 月 30 日)
19×10194+269 = 2(1)1934<195> = 2 × 31 × 241 × 523 × 473439707655219578062693<24> × 34366959524893367943427421219<29> × 1660331775416053058994805876555124449131189220270892108041181718401048841039390196281120171599791417593752792468031897052646532861671887<136>
19×10195+269 = 2(1)1944<196> = 2 × 7 × 61 × 1770787 × 239668194629<12> × 355297646517968144063<21> × 1585767631845155234259119068619039498024220445351<49> × 10338192431315573666497753289114989862788364184676285705052671399109784887745866797655389589890430964239209<107> (Bob Backstrom / GMP-ECM 7.0.4 B1=26950000, sigma=1:2394300252 for P49 x P107 / December 14, 2022 2022 年 12 月 14 日)
19×10196+269 = 2(1)1954<197> = 2 × 3 × 17 × 89 × 813842026368054133<18> × 11344372014123641895952364519<29> × 7064040989848268388006670675994103686581<40> × 4873309192101683181859921769735591500130921<43> × 7316833346227129495639904612732747297108718522739259150849444969<64> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:818321684 for P43 / May 27, 2022 2022 年 5 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P40 x P64 / May 30, 2022 2022 年 5 月 30 日)
19×10197+269 = 2(1)1964<198> = 2 × 4770385121516034639014602215828259001933<40> × 22127260769673426652442210576738594765514665418759851101792497693756830839586335380608774152545758791122857283204965489416737241518341144359819184861535201529<158> (Bob Backstrom / GMP-ECM 7.0.4 B1=21310000, sigma=1:3255937532 for P40 x P158 / July 27, 2022 2022 年 7 月 27 日)
19×10198+269 = 2(1)1974<199> = 2 × 3613 × 10220653 × 119920793 × 31496810938431913448601581367023<32> × 7567865677435261638236177564329819395373843042334096462352780502197793499876095331766825647541477813601430333884627659308723141678743969349370667867<148> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2881056931 for P32 x P148 / May 27, 2022 2022 年 5 月 27 日)
19×10199+269 = 2(1)1984<200> = 2 × 3 × 547 × 61994959139<11> × 428095154420385313067<21> × 242368304421073939780860364816126790788071725492848233633629870984043244465366107274533489732906469464856067895564001398697742260503487205277419733841831044201802429<165>
19×10200+269 = 2(1)1994<201> = 2 × 29423 × 45337 × 594049865992807471573445259210936014810742849957946761371817336824173672257667<78> × 133204366929925721866800787531724254643548082200607034114478592521887164112361067251747989196341731498273905617121<114> (Bob Backstrom / Msieve 1.54 snfs for P78 x P114 / October 29, 2022 2022 年 10 月 29 日)
19×10201+269 = 2(1)2004<202> = 2 × 7 × 2394056245319<13> × 17744835400575901221299<23> × 3549578059045679407186535081277328536403751676942730682404052584306942540798294530316140788425639211268680395038971973030625695481981786649428288570540325907014039671<166>
19×10202+269 = 2(1)2014<203> = 2 × 32 × 23 × 476299561558478484340454654821<30> × 449010792126359806872820507133315820493<39> × 333524311429988135622296279374102975555506213538961559265626469<63> × 714901639234987856603829384248701710074525679228159813905387772396943<69> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1026634969 for P30 / May 27, 2022 2022 年 5 月 27 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:391271478 for P39 / August 27, 2022 2022 年 8 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P63 x P69 / September 5, 2022 2022 年 9 月 5 日)
19×10203+269 = 2(1)2024<204> = 2 × 163 × 290931117485257651<18> × 191308802247553591273629595981038880225659447284076501720613<60> × 11635052939381721955579799592420044228823575011997570114094364017259980466545177301177132188254398687577406132976298015807753<125> (Bob Backstrom / Msieve 1.44 snfs for P60 x P125 / August 5, 2023 2023 年 8 月 5 日)
19×10204+269 = 2(1)2034<205> = 2 × 351851 × 16084031 × 234491181590987879843<21> × 45237245784395242170273783063635722457<38> × 17583476044898951228985450212711714831924815020660755622875269366920221407765912574240032117416873248125653819124782613853757493688947<134> (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:810271362 for P38 x P134 / January 20, 2023 2023 年 1 月 20 日)
19×10205+269 = 2(1)2044<206> = 2 × 3 × 199 × 311 × 389 × 35622353356775021966323<23> × 5227502493944672324391360773758275380369<40> × 4290194069725090685310639730326474575164851219681078392120504429<64> × 182937601245679180883877367490154275150056178713930618862002013922677693<72> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3:2664745939 for P40 / August 27, 2022 2022 年 8 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P64 x P72 / September 5, 2022 2022 年 9 月 5 日)
19×10206+269 = 2(1)2054<207> = 2 × 12281 × 960123337 × 2110327030724903021897012971123<31> × 4241999146830138213997828075459486973724599107282194923926444376144824144016114733176016461831033343071407545992080651106489297795473073948839064083041404756610247<163> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3579921822 for P31 x P163 / May 27, 2022 2022 年 5 月 27 日)
19×10207+269 = 2(1)2064<208> = 2 × 72 × 1069 × 1032839 × 17703144196161411577720079597<29> × 208617157829474724370485382423359930814627<42> × 854875227595068183219123107850861689157731<42> × 1441034118429044868995439196947502456524389<43> × 4288419430845430965197703359888623629659863<43> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3907060524 for P43 / August 27, 2022 2022 年 8 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P42 x P42 x P43 / August 30, 2022 2022 年 8 月 30 日)
19×10208+269 = 2(1)2074<209> = 2 × 3 × 29 × 743 × 27191 × 46998481 × 540039517180661<15> × 187227802649163900478691<24> × 1263770307296245541909957855564456981426413718941305219706681561333022989697671447655132768551080855968612813014973538076346079265043721227568128215241837<154>
19×10209+269 = 2(1)2084<210> = 2 × 31 × 164539937 × 12407785706579<14> × 122029278118001<15> × 73488275857733623<17> × 64067509816981485570229021052948004910837<41> × 65953235149726403802679461203242982458401305066103722257<56> × 44014699690364669943864087265395333613641272619247240137427<59> (anonymous / GMP-ECM 7.0.5 B1=3000000 for P41 / June 23, 2024 2024 年 6 月 23 日) (Bob Backstrom / for P56 x P59 / June 24, 2024 2024 年 6 月 24 日)
19×10210+269 = 2(1)2094<211> = 2 × 1458939897365189860441<22> × 385481561820714396448031<24> × 38259313823145754582044533<26> × 49057217113099979930397233496935669483943469974699153356075345957758516618825488806307929446996080300529015489171667941947304374194543731399<140>
19×10211+269 = 2(1)2104<212> = 2 × 32 × 47 × 173 × 331 × 420781 × 175944473181586163<18> × 1306016018731420838120812817<28> × 1688057868736867767741772789586438686694131<43> × 2669924905410767776140047349710527142961501322185146328851811016120050674534866312887501716247123428480844796153<112> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3722770034 for P43 x P112 / August 27, 2022 2022 年 8 月 27 日)
19×10212+269 = 2(1)2114<213> = 2 × 17 × 90911 × 20669183 × 9406587453230811423403<22> × 451144344815810536814479410087400872667<39> × 778654528767883011559106859477209420486160962987022745165069562819299083598358120450636746574212983842718563768300778568226249335939595917<138> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2929791851 for P39 x P138 / August 27, 2022 2022 年 8 月 27 日)
19×10213+269 = 2(1)2124<214> = 2 × 7 × 1033 × 26879 × 311359 × 8035213 × 27218417 × [79753168520495130951380561609891267228666597907548539310791299749798093350172374676209807756919348843825047619551793258412872006175666449847673896766514525823714206204974216448282303287<185>] Free to factor
19×10214+269 = 2(1)2134<215> = 2 × 3 × 107 × 2159080194881<13> × 15230259032676823279955666358876701552459942125355306734411249866363332069076146851749512186777170408195199020962547457773559874035230671325746192021276924359710889455611886538272930235367029719097957<200>
19×10215+269 = 2(1)2144<216> = 2 × 103 × 419 × 2445850164644334767373903551116981151506257514552808479633791865874726129146037851462232211589210453821061601954620468418925216200281658955802200235316531629991787092605036391675870787023091400133363198451133201<211>
19×10216+269 = 2(1)2154<217> = 2 × 71 × 140718183965120853327433<24> × 3656426174212072015297339<25> × 4586748983566293661041059188331<31> × 3747288065269412755840207730815167735747673247735988157<55> × 1681100444518998573174309327623696704689654345251196902407768984631214150754017823<82> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1979398994 for P31 / May 27, 2022 2022 年 5 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P82 / August 20, 2022 2022 年 8 月 20 日)
19×10217+269 = 2(1)2164<218> = 2 × 3 × 907 × 1129 × 4337489651591586404597290211741<31> × 78153473340285872402109332952403<32> × 33701683240459357062265511589314152321<38> × 300760144054411350135536067767275979145864039054275552521991482473060121446092578463758844801336614209772903931<111> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1166325610 for P31, B1=1000000, sigma=1:3850567558 for P32, B1=1000000, sigma=1:2436056843 for P38 x P111 / May 27, 2022 2022 年 5 月 27 日)
19×10218+269 = 2(1)2174<219> = 2 × 461 × 88062414721<11> × 2600097181885536633627193773344633892102935031597669633282189489169195698749545734261106715507565707563503912346977255271338629324754223282193849890408373570267579670815554451317638014344708255603825608697<205>
19×10219+269 = 2(1)2184<220> = 2 × 7 × 46652216839<11> × 5980666156995630826483<22> × 147778077201901413482019386479<30> × 12171726781027228651586211010969<32> × 44014061840153780569050784599282896783349746570564593<53> × 6826648686059769369815502042776023001079091777886388474291756040680088561<73> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1211226330 for P30, B1=1000000, sigma=1:2290088545 for P32 / May 27, 2022 2022 年 5 月 27 日) (ebina / Msieve 1.53 for P53 x P73 / June 3, 2022 2022 年 6 月 3 日)
19×10220+269 = 2(1)2194<221> = 2 × 33 × 284994146167690657476600000051481385783<39> × 1371770288318764649885970101083582724433581727517183747494457309840660177798939377953353072397277171636259564570043681360369970870884269606824525139339026308722928210996917627654777<181> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P39 x P181 / July 6, 2022 2022 年 7 月 6 日)
19×10221+269 = 2(1)2204<222> = 2 × 1901 × 179111 × 85448017 × 424695345526021541923081547<27> × 8542740823029021640846012940433822695001086669450013105638845746778301124344265913952134832636691086947228595165021228664673933321983560844963080789346428061746339232487643971213<178>
19×10222+269 = 2(1)2214<223> = 2 × 719 × 1559 × 10527269 × 63425637129218045133367185871<29> × [1410345545823275778784708811625968646849781359700148141891324569419995692685646427964625911420961106761716928680913352010513206818196686663488743352237084900272654266793881891270983<181>] Free to factor
19×10223+269 = 2(1)2224<224> = 2 × 3 × 1181 × 89563469 × 2993844709<10> × 1497553805794372942089547<25> × [7419375168574948197360805308721875197427135508595514212446203374240431964900374755138133629984354778525915697866189562214012733748399393843377252399964778376915045822408418459177<178>] Free to factor
19×10224+269 = 2(1)2234<225> = 2 × 23 × 31 × 241 × 263 × 313 × 105359125059317<15> × 9941463708045467877967298557960667<34> × 7124459967890179438776992764563564374332796242219675184305843721378387163191045862914714532253772973242756907976028593985740566603620890674744989280845897639036474069<166> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3333192251 for P34 x P166 / May 27, 2022 2022 年 5 月 27 日)
19×10225+269 = 2(1)2244<226> = 2 × 7 × 191 × 13613 × 511488323243<12> × 13559017578289<14> × 10995842785067772779180422571279922570307<41> × 760507278439200611985529867180125656488182266673612684527993048795247752634510457212178146310614347128234446018182804451740677980729814490590927973545073<153> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1979236870 for P41 x P153 / August 28, 2022 2022 年 8 月 28 日)
19×10226+269 = 2(1)2254<227> = 2 × 3 × 8233 × 4063116667<10> × 274499983332640033<18> × 154282176036519439880210578993382039<36> × 1744126233220782398105714510889850204595009<43> × 103087497875465765792574459552158682002101719954579287<54> × 13813395356271627490819051325796389877210499004175079975532149949<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2048386329 for P43 / May 27, 2022 2022 年 5 月 27 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:4092665413 for P36 / June 3, 2022 2022 年 6 月 3 日) (Eric Jeancolas / cado-nfs-3.0.0 for P54 x P65 / June 4, 2022 2022 年 6 月 4 日)
19×10227+269 = 2(1)2264<228> = 2 × 1399 × 802597 × 133456944557<12> × 10577664015191213<17> × 19938725670032031018080195559641484281<38> × 1285929714290859582678272735388562784131156939<46> × 2597288984617156110798934907537091769978333185111285639388509652818661858891620821580922904504895874389527701<109> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:4186287746 for P38 / August 28, 2022 2022 年 8 月 28 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:491915701 for P46 x P109 / August 30, 2022 2022 年 8 月 30 日)
19×10228+269 = 2(1)2274<229> = 2 × 17 × 151 × 45413 × 2886974168677<13> × 299535592827295501918429<24> × 307332048824442178227256768907679467<36> × 22666487154373013169053354485561558004453<41> × 1503113001622119765096044342621851322086935173044859879341458260537848398221940142811794714625645852353207249<109> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1355673158 for P36 / May 27, 2022 2022 年 5 月 27 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1652927329 for P41 x P109 / June 3, 2022 2022 年 6 月 3 日)
19×10229+269 = 2(1)2284<230> = 2 × 32 × 59 × 19878635697844737392759991630048127223268466206319313663946432308014228918183720443607449257166771291065076375810839087675245867336262816488805189370161121573550952082025528353211969031178070726093324963381460556601799539652647<227>
19×10230+269 = 2(1)2294<231> = 2 × 56171 × 441619088518757<15> × 328512853128597623880243616956359<33> × [12952951432394251175982679655022592521828287595801553719002314436857562847596135819718460738845680239168399706431975691369613638672862719269023773347745785320753684451359313059109<179>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1354915472 for P33 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10231+269 = 2(1)2304<232> = 2 × 7 × 83 × 2371 × 23687 × 1002778867<10> × [32259540461984198573325466356192969045839855639078861119134617248368319894227224622191357672551750171763159658191976340367037922473016619547437232809074490314003005602164787299071762073010214135377958023276865583<212>] Free to factor
19×10232+269 = 2(1)2314<233> = 2 × 3 × 107927 × 630941 × 5560395864688661<16> × 272547763859840332879<21> × 30413634697246718173573<23> × 13104712006621393331756586677224801<35> × 85545436117085526317625521437727357419137811390177768456781472440650330677873066961156525109162825924553492054500772538767037891<128> (Dmitry Domanov / for P35 x P128 / August 26, 2022 2022 年 8 月 26 日)
19×10233+269 = 2(1)2324<234> = 2 × 2963 × 107641 × [330957113860576700985605996830308059755360396276927977628826383011504243117372400260758392678655632708382451505994166172968359583337911428251775758145782906813171528902028206814990364687033138286754312422666143917466692520479<225>] Free to factor
19×10234+269 = 2(1)2334<235> = 2 × 193 × 3167 × 1726933934233629438879172613227332310624879228238678266572794173652114430641697746932919887171225863144303144892120254953619099089469538612334053010327610274275283085372887755293097954055922483570950353557911093441850226110186747<229>
19×10235+269 = 2(1)2344<236> = 2 × 3 × 11816155539304553<17> × [297771852005056042083877200538071511032353822303479587336069078783692597799994869107886806833197041232434970236731643536298848501862810094034485281494908216490717246681769589804469951521920109465196096503462305324694623<219>] Free to factor
19×10236+269 = 2(1)2354<237> = 2 × 29 × 21267989 × 1444740691<10> × 2832879752111<13> × 41815628216523050554542764172507623518860429596701861057758455336689851994471235680713977381150289853144048415856912157321044039100358644821342063573171021982199535596194098300808814383906334560607975358697<206>
19×10237+269 = 2(1)2364<238> = 2 × 7 × 3203 × 222619 × 568807 × 7855385347587492073<19> × 67022411472570180797039<23> × 32104888490545889260932365211099948509<38> × 364051238020252808663397343240214020814708602418215135943<57> × 60419584599494387439130920406299115597661694707007530112999266694091879006283055100441<86> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3645549254 for P38 / August 28, 2022 2022 年 8 月 28 日) (Eric Jeancolas / cado-nfs-3.0.0 for P57 x P86 / December 15, 2023 2023 年 12 月 15 日)
19×10238+269 = 2(1)2374<239> = 2 × 32 × 388110787 × 1212790213<10> × 2491708244988375946321611102094461446402556290852576717819187280592212419210268773247881745604824916235673934673882995858265676745900361061786789380280574437057122194510763146581377213135887406336245169628042750453368883<220>
19×10239+269 = 2(1)2384<240> = 2 × 31 × 1624966022623<13> × 284152379768353003<18> × [7374351252520078185983120974279967371311953743046298143544725279712045913587348152515245424406168483301767343688595781749122852827602706120296721286720896076478840159705160703717592827630361515562262382583663<208>] Free to factor
19×10240+269 = 2(1)2394<241> = 2 × 89 × 29581 × 1148386574051<13> × 183582710218046011604293183<27> × 478019436205484295587088370733996437<36> × 3978439873823243222707863117351597728794865643522812892916637630756794312167939139513387482588784120620927138557394643148831710223152886128804234165689384184513<160> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3051456856 for P36 x P160 / May 27, 2022 2022 年 5 月 27 日)
19×10241+269 = 2(1)2404<242> = 2 × 3 × 1811 × 3093076487<10> × 10372855310909983<17> × 9332009399429628297385519239884951<34> × [6488992073456400444852926099488949440074790984026639543377500477602533080810712271999869009476411205266730147835494945422761036542727344656169522466976490892731753250267779155699<178>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1084879522 for P34 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10242+269 = 2(1)2414<243> = 2 × 41520211 × 2542269247031416953915661834077759276212627039769994318081754342615348355420341085346496807435674051742067388712344346119906653546523536586930050898719073358166593988541039821679989910348855297376874013370393410465942852640020436205287<235>
19×10243+269 = 2(1)2424<244> = 2 × 7 × 401 × 119627 × 19550274142144463<17> × 29779257044832588528751<23> × [5399365925864062790688642307738873667191398564356700393460233197260417885784363698143790718328285416382804220160670437400967339874116059447043185271091610935594424710246199105256485009418782404201<196>] Free to factor
19×10244+269 = 2(1)2434<245> = 2 × 3 × 172 × 33679 × 361495429268915791530943683399532849730836401449684952357394838211331727205335876495535605650222266225729001861613940788882799403252477878981657634398949179210738810012679090686177952472156318751555215171459355944446250018983266555424249<237>
19×10245+269 = 2(1)2444<246> = 2 × 43773974113718423<17> × 11725672238310598625893751389039<32> × 205649363032547538712990566813720753863163570151949485987945868135454338936607706190015851333798438518229617125924611156909337475532441779397967846670791326288389430361328252862997327278270325899981<198> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3233119554 for P32 x P198 / May 27, 2022 2022 年 5 月 27 日)
19×10246+269 = 2(1)2454<247> = 2 × 23 × [45893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415458937198067632850241545893719806763285024154589371980676328502415459<245>] Free to factor
19×10247+269 = 2(1)2464<248> = 2 × 33 × 27277 × 59393 × 324009029 × 44231859301501<14> × 782518337912151179494656018725203<33> × [21517838002089478575237946216434074605664727104056438672378016408673514684507281289958745884067799502267798373324747274912829004983747042085933745991332303138687955938056868691111113<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1438426328 for P33 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10248+269 = 2(1)2474<249> = 2 × 41057 × 18461837 × 172973233 × 3266764507<10> × [246446264514134566310728385192071115788407013958394011587135213890527938206172429622317761298371454030519838321933375659196358339069897493681196005192235037383476308035269624911862559620840053193333308196552469409425483<219>] Free to factor
19×10249+269 = 2(1)2484<250> = 2 × 72 × 103 × 332664001 × 65310043489<11> × 164395093092512079731<21> × 733147240707768786792461<24> × 466124059246646755839644210798747142673968761<45> × 626454795276779626440131463678421927512705533504369743<54> × 273521014727355427620942959254548625740932318155062895077279340677321349934483687603<84> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:750794331 for P45 / August 27, 2022 2022 年 8 月 27 日) (Norman Powell / CADO-NFS v3.0.0 for P54 x P84 / October 8, 2022 2022 年 10 月 8 日)
19×10250+269 = 2(1)2494<251> = 2 × 3 × 48458287 × 22453353190951<14> × 879597565736535287<18> × [3676432161895546273542277203818365618602965139241530182664734918284026129799708967683562598517407730946900679829015252103337538504889025527130532724416031852996293265773313441309745924222401825401609423687493401<211>] Free to factor
19×10251+269 = 2(1)2504<252> = 2 × 71 × 1406951237<10> × 1456504369<10> × 5406200749180267565131<22> × [134196052673646395080705189128998063329038391530613907496138403102011326541427074956735726322055016366186637286696846871678984441346802467734343332954282799761926916037047933045415132161619964541828999634604469<210>] Free to factor
19×10252+269 = 2(1)2514<253> = 2 × 131731 × 2715149513<10> × [2951204861631977325957912437963641057065419468055275642491935555816511955365932559061869252384742577649316509068912983205434751703374501116683068342954287557374905629818431561537464696938957781518670543284534463705563354631493879189537519<238>] Free to factor
19×10253+269 = 2(1)2524<254> = 2 × 3 × 409 × 118081 × 407391072679<12> × 109750220158059413<18> × 123765996170237257<18> × [13165527390162005326812382455130557456068916736423968654602013794621480170825472325253260124742412452560099351087305915672869022332435253062643012211571261427674288625467722859779373009697870794086349<200>] Free to factor
19×10254+269 = 2(1)2534<255> = 2 × 31 × 173 × 241 × 8465329 × 519886070569<12> × 33525285520763<14> × [553517999847917403161774754014446582064281048072910563303200968267457490194769245726251311588018961957239361600440894613744903118859792026418297313617364388691385115497485468805644115791009555525186779249723870398333<216>] Free to factor
19×10255+269 = 2(1)2544<256> = 2 × 7 × 61 × 1531 × 52973 × [30480596460654532043641638061684805675860903243525107787043805402942997494349989175011403240083031887499146990120582157513490531780969727060049624664869502394102056942186009475335943136296258080387540587489837868482698611965697078002257284199857<245>] Free to factor
19×10256+269 = 2(1)2554<257> = 2 × 32 × 223 × 643 × 97367 × 493399 × 69431459 × 3373140860209717<16> × 3665961443309411<16> × [198305169005322447900529289663904416612218367704524616875949185002212095272470372927388137657947717133618528485303103769914398121597945441198116372109705957990095959866155712076492442513909212736257413<201>] Free to factor
19×10257+269 = 2(1)2564<258> = 2 × 47 × 3083 × 4527498402617207293<19> × 864749396785087217272266131<27> × 1570128571008792659603754259<28> × [118502066355746538456527930996796531051721063000147113275524640109437345847033746894230953472545196944290204063910615043548713930263578951295496370887503160290585739299113837295981<180>] Free to factor
19×10258+269 = 2(1)2574<259> = 2 × 269 × 3067 × [1279425610626074128303763113944163442177436938795106991629997655284223052636781708577282761275207546402410060756555339130612789650174062487416175737592231435433382530614971407531130108561283207323378324671621949394811484716857051931346829792085257690459<253>] Free to factor
19×10259+269 = 2(1)2584<260> = 2 × 3 × 109 × 3529 × 128375374087<12> × 1433091858559<13> × 13185204072912617<17> × [3770848445391452812303804601640095850270361925615019789642446824538162906435998720723799332172134221045286724058914288872176047318401385915962432677155319089594255791049793803046986487198003621318624019169923916539<214>] Free to factor
19×10260+269 = 2(1)2594<261> = 2 × 17 × 229 × 34819 × 77898767 × [9996542448376919926392289301347515331164909819422284775330356543340752446770618377137315259956665623525176239815135227907913530854179406688530820601686860570518657300283373216215631409808487452209745003134445553661097940979508011125415531273813<244>] Free to factor
19×10261+269 = 2(1)2604<262> = 2 × 7 × 197 × 1697 × 6853748383<10> × 149905275472898745624431<24> × 439025669747076141143943217986048521668621319703572222569853349988518524708045171604664476472908905600908657668945055772063842229049620506442706458175387030072096343746726245668127389894149452950107062754939810727461711143<222>
19×10262+269 = 2(1)2614<263> = 2 × 3 × 16901 × 28201 × 34511 × 1040411 × 36367685272543<14> × 5653335919638489474265231120847151609744145573701177891150426120482396616623069281037635716445556549355354789508729195244675311837019342526521486163286984233099193051152954453552049248096803624995791252530340421318796917312992473<229>
19×10263+269 = 2(1)2624<264> = 2 × 13187 × 36732181 × 13126900067<11> × 22949296529<11> × 13008014096926096919689<23> × [55609093878184497217635577716638461429525761317527537650775926947703482120237390560248566663097926175375100173197509042227522177086260592690230788470661442950787547283719801680636826836245039337297263713188753<209>] Free to factor
19×10264+269 = 2(1)2634<265> = 2 × 29 × 149 × 2778257 × 25613659 × [3432833889016025441279121486754204304604816377468290755974746455632633646698843844237709705860785398181695679952665964080852018313856128043488095392037318452333189408721225751061570456718210703261458474075597675596138323918104598680014134541638959<247>] Free to factor
19×10265+269 = 2(1)2644<266> = 2 × 32 × 501139 × 20957637251<11> × 59497273111469<14> × 4123069621432614651737198152060213<34> × [455218952960535918166030707993669613023490593537477764031735887666500573113161662887633510068870850925978841763632859647005690555820456945857800599530364021951670224948347577269417862396275214644269781<201>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:47520972 for P34 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10266+269 = 2(1)2654<267> = 2 × 15809 × [6676928050828993330100294487668768141916348634041087706721206626323964549026222756376466288541688630245781235723673575530112945509238759918752328139386144320042732339525305557312641884721080116108264631257862961323015722408473373113767825640809384246666807233573<262>] Free to factor
19×10267+269 = 2(1)2664<268> = 2 × 7 × 107 × 16091 × 809118280723<12> × 234192203536938079<18> × [462201975014178075951826671807338854020130144130625887712242938551721779214446644084124645936062684663917746789213997684355962847513808765348204224003166355962511042804899708205402510393056772136488682746429736540622863020301171719<231>] Free to factor
19×10268+269 = 2(1)2674<269> = 2 × 3 × 23 × 563 × 48157 × 299473 × 1218709 × 3556220625894883<16> × 1968695780562694513917668063148847<34> × [2208203976053501203755721525644609759784685142662096162973220207001625322600694387602079452804883536043680344003454344653860122467606493390743400575545134529023870040188400030493459460785544096472919<199>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:928790683 for P34 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10269+269 = 2(1)2684<270> = 2 × 31 × 718043 × 3989626573<10> × [1188602669807201363253047631968108861245061270540959935898459903594829953483767400781634068253756183338694410556801736144013244277630836127938336091769458002157019819013621525367595384846474042332847899016575821596124506832535536084216652511972549353573<253>] Free to factor
19×10270+269 = 2(1)2694<271> = 2 × 179 × 727 × 1319 × 36457 × 63862093 × 67158401 × 39330044248347606259683949533194040936647937077840569652467390108190981729824494514922295542971342655251563528055101408879925435843465506209161739217952611157965160612737855819287129408531730571571763395245673900335366858432382389305280253291<242>
19×10271+269 = 2(1)2704<272> = 2 × 3 × [3518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<271>] Free to factor
19×10272+269 = 2(1)2714<273> = 2 × 83 × [1271753681392235609103078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103078982597054886211512717536813922356091030789825970548862115127175368139223560910307898259705488621151271753681392235609103079<271>] Free to factor
19×10273+269 = 2(1)2724<274> = 2 × 7 × 27257292918151<14> × [5532231364518053887641441262828818678805324902776949699964123612202222252442065319317710602136057526618104231662288109497058755064870632492940148154415369858684692509895762242173200932069267360472337255975900677854002060121047540180944267279986350199678800501<259>] Free to factor
19×10274+269 = 2(1)2734<275> = 2 × 35 × 233 × 10156719544994311082148134067093341<35> × [18355467100123119624955210868515775739479540445788423576223297986846275944951194768885347886189847332387738786169702061527581343767418805093821593820234932335181891725744813392709712737465739532768598121084796616218340573303820840633083<236>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2463939579 for P35 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10275+269 = 2(1)2744<276> = 2 × 373 × [282990765564492106047065832588620792374143580577896931784331248138218647602025618111408996127494787012213285671730711945189156985403634197199880845993446529639559130175752159666368781650282990765564492106047065832588620792374143580577896931784331248138218647602025618111409<273>] Free to factor
19×10276+269 = 2(1)2754<277> = 2 × 17 × 65827 × 386916416299638423507975894828306953<36> × [2437872311768709403867687258493043865167141494570560106128425626927568823355483295820691535235188030167910600644623522794078882202079654445455766308569871722417851668285910634111778536354810522065320653695291905284082855221040801927791<235>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2046848747 for P36 / August 30, 2022 2022 年 8 月 30 日) Free to factor
19×10277+269 = 2(1)2764<278> = 2 × 3 × 40759 × [86324947091894269204801847899077958696693209316188290157229532582215425268493302547131149403040273768211156272688694975797210886393643576106345065347984948563961788034998859602014733396759452354535649022756164737076928249430028178280098101487242535845298425342096678488641<272>] Free to factor
19×10278+269 = 2(1)2774<279> = 2 × 140524967911902745159613047783<30> × 1428422519455649802170996328741997<34> × 229981010806195663302047230710794152385989<42> × 2286540690123841979313351913394907022408319248409613201817983874562874878140316822964566981301010393120320966894255203140568577212026062911506507227801548310547908415348637363<175> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4269801781 for P30, B1=1000000, sigma=1:3041035304 for P34 / May 27, 2022 2022 年 5 月 27 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3256358448 for P42 x P175 / August 27, 2022 2022 年 8 月 27 日)
19×10279+269 = 2(1)2784<280> = 2 × 7 × 121349 × 840179 × 36834233 × 8251069891<10> × 112869283372501<15> × 523228195729284780277<21> × [82403608117876148902309312764071253943800222692529466996100768152478192282443444287655661270316307355696348671103612721539022125890761633337255175332961221986636236049029152588247107960035432028481785371664673967551<215>] Free to factor
19×10280+269 = 2(1)2794<281> = 2 × 3 × 211639 × 503389 × 33026337839463909392468632750958948189001900626871356802259451297182236279226457334571923659295896156358615701994318060628574362096166161804303312744956115245539855369667211740942079236442511088097874356049704890682007570449986680572630640106163025011346613305918212789<269>
19×10281+269 = 2(1)2804<282> = 2 × 27767 × [3801474972289248228312585283089838857476700959972469318095421023357062540265623061747958207784620432727898424588740431287339487721235839505728222550349535619820490350255899288924102551790094556687994942037510554094988855676002288888088578368406941893454660408238396497841162371<277>] Free to factor
19×10282+269 = 2(1)2814<283> = 2 × 3823 × 108949 × 4522961 × 1321838461<10> × 240571948151313189883<21> × 12695989659334619590067<23> × 138784439921885024991112277519897400265177677777978239006244897687267934862604886136741394986145933627059687663273579357827077152127546915468335860151457888280257064967156197369073645789405934454268570999229454881211<216>
19×10283+269 = 2(1)2824<284> = 2 × 32 × 103 × 10949 × 20347 × 476501668410593215615473923501<30> × [107266002314252200032484825708689807824881331590190270449526544168605213955035177713912977443560467478723025492201760212981975710362737940582806345207392501074567627349367757568418257221602908529429877267634078650158954868119555626650452761697<243>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3039296426 for P30 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10284+269 = 2(1)2834<285> = 2 × 31 × 89 × 163 × 241 × 647 × 126527477299<12> × 1027864227491409399756670040653<31> × [11574436772849592306573554053306102834419279652174418321104886471364975973850786456459343339198916664161212526098376029630063629319374533504594927481868223410119486304900899838760236474553700973436032457913332763553887133622338018209<233>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3779676793 for P31 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10285+269 = 2(1)2844<286> = 2 × 7 × 463 × 47305470601<11> × 1733453490457770001<19> × 6846925356154392032453<22> × [580073346142020994513793035395874103634478621743882461281718366966591997391355124991260674574264854558148930473423053007634044193034705174387601803656638774326494024576213821649809749828203539895145593798089366136052965744252632609<231>] Free to factor
19×10286+269 = 2(1)2854<287> = 2 × 3 × 71 × 97 × 1031 × 429817 × 197752507 × 14842382095825763<17> × 43192350352414757462873<23> × [9094002335394004645747816149640580555545607147585483705733052277854089397688716759286155748049858457834704963205812969871478196062554253959860602101908270948899443550977572368377449431441097356718198564095439808933779829305767<226>] Free to factor
19×10287+269 = 2(1)2864<288> = 2 × 59 × 2848939 × 1470355751<10> × 1396963718222291741<19> × 305730229553454179566722000031519910533040060973632376682108411674544125427871738825989150987954086664607392801149033247405721612845341629081159153359074507433108606103201532838241360935392518236470995962993481895830818046452904724574863317710796741527<252>
19×10288+269 = 2(1)2874<289> = 2 × 27014357499293<14> × 28510817503501769357091923<26> × [1370492877259221560169384846052659476959257177633456947236444756676012357717241111655389179310288061168850223302100110720450861879601222167204963928329661862980677095999577031679041938412390709388810606692950694277477323117150980763561066665105486163<250>] Free to factor
19×10289+269 = 2(1)2884<290> = 2 × 3 × 66181637 × 273665747878877712749<21> × 18880128974127917796263797<26> × [10289563101558305764090984605095253689473298093197930768355007248165976424080935104012085370710290348146429467378570251187610558398946628774745469898461224833072079929569697439764898418851072508517363464486261666331141064169805322690779<236>] Free to factor
19×10290+269 = 2(1)2894<291> = 2 × 23 × 547 × 9587 × 4678381 × 84855581 × 10032095279<11> × 241388659506817<15> × [910329667170678111100515750687848278258057734557111086433336800132738467318834501309332574218914417300629712463253912564642666536882886308406062072084081253190813280572232176463491018230859035309513775172004363898249161192659439561452690643197<243>] Free to factor
19×10291+269 = 2(1)2904<292> = 2 × 72 × 4441 × 46858111 × [103518856458207431546187928858515165309899179801387658485998102883775387020134901185074292194340678012068472948923002180028923300645723573183016588184084903830289948272243600507829428678391316326274021194102421463381680376560717944229497842529523124134183521830505424824489658243<279>] Free to factor
19×10292+269 = 2(1)2914<293> = 2 × 32 × 17 × 29 × 4513 × 145043 × 3961934236133227<16> × 29411015643814743831751<23> × [31189777390567385921786713382535815546693435183766214382574540107029313485195008197462214546312651107411385823461028240370040190374728013973080388654700957825393900106158442032564988876942070505134941110154932535387793733074526805809907878327<242>] Free to factor
19×10293+269 = 2(1)2924<294> = 2 × 995485053859149260134619<24> × 28332857781559793181774011<26> × [3742449685190373349964571016210552927041991206352428020694002404317361138473303536222754422754254233985868162422789881824934969592259842840584942578946962782375182723716223847162137255579407429586563618294088607326804085672842667860809007946573<244>] Free to factor
19×10294+269 = 2(1)2934<295> = 2 × 48647964354047<14> × 62097937135233911<17> × 17700236020333018994213<23> × 2267431776148188256738464855369243373<37> × [8706146368544863851644244475422943448742408517659358863614396950622741838388544880933165055687054128997710815511363388207550977846267700190043275675624159369030385236230234379588174289944184448719500928829<205>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:148188406 for P37 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10295+269 = 2(1)2944<296> = 2 × 3 × 5073022218649560061<19> × [693574434896748616266152130350281692476693503609286626080328863545950255685150715839562763520224437470222993251962490288894527163049038676992095919399376341662142615647913631847523713189641203475625833306921580334876172835634119681664969353858824444727249551898807625372971779<276>] Free to factor
19×10296+269 = 2(1)2954<297> = 2 × 889456496970871<15> × 1525514158134696871<19> × 120722424119695729508704859273<30> × [644395047425001232654678684522184613312465296383463206369676975378555133709468999184615199335765744918935297388501939260022136268802528890124451411473001463729240987655088344470282261213016162516760619558132026562507583600664870048349<234>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:383766702 for P30 / May 27, 2022 2022 年 5 月 27 日) Free to factor
19×10297+269 = 2(1)2964<298> = 2 × 7 × 113 × 131 × 173 × [58882631896460135463399526027043726744498225361149959702276273007326976624717006197248250979743463496366262912178655706662644796962985082171983436724726863149827718406420036577023190032035684709588101300217146130273409972611704489987247075620429092366314902443534391674883428039228749833029<290>] Free to factor
19×10298+269 = 2(1)2974<299> = 2 × 3 × 349 × 68994684144457982724226505713<29> × [146123068433308296615224024593371305296526158642920291022433172154325223808708081052620205912129403721352041972260575308401616686385080901602692052775038066110574814976552633388985633505002464209103002884753098986914379159634663968357247543128717576400644391192183187<267>] Free to factor
19×10299+269 = 2(1)2984<300> = 2 × 31 × 47797 × 688661 × 465540947 × 30700805708463337683319397<26> × [7237783955343727838941332425683127412890303711167159814053362090057628668091156043271118314422237933103548477807827807043916445307878142549726752325325083897078366617264648501667964311791090854517726524067347094579979537000451514622650532743116333385549<253>] Free to factor
19×10300+269 = 2(1)2994<301> = 2 × 181 × 1451179 × [4018662514740226732372238720460461092089787338644603299127928956540898016611578058332960031311996977376949102663350349606781550693157502144238815532709814493627090981014661869793117066742730895504613322831307591338812894732834686097835639275937168374020605571907472177178197391542761371010643<292>] Free to factor
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