58w9 = { 59, 589, 5889, 58889, 588889, 5888889, 58888889, 588888889, 5888888889, 58888888889, … }
53×104+19 = 58889 =
definitely prime number 素数
53×108+19 = 588888889 =
definitely prime number 素数
53×109+19 = 5888888889
<10> = 3 × 13 × 191 × 197 × 4013
53×1010+19 = 58888888889
<11> = 29 × 2030651341
<10>
53×1011+19 = 588888888889
<12> = 7 × 743 × 113226089
53×1012+19 = 5888888888889
<13> = 3 × 23 × 135197 × 631273
53×1013+19 = 58888888888889
<14> =
definitely prime number 素数
53×1014+19 = 588888888888889
<15> = 17 × 83 × 417355697299
<12>
53×1015+19 = 5888888888888889
<16> = 3
2 × 13 × 67 × 751229606951
<12>
53×1016+19 = 58888888888888889
<17> =
definitely prime number 素数
53×1017+19 = 588888888888888889
<18> = 7
2 × 31 × 89 × 193 × 22569829103
<11>
53×1018+19 = 5888888888888888889
<19> = 3 × 329007751 × 5966312213
<10>
53×1019+19 = 58888888888888888889
<20> = 35153 × 1675216592862313
<16>
53×1020+19 = 588888888888888888889
<21> = 19 × 953 × 25849 × 167677 × 7503599
53×1021+19 = 5888888888888888888889
<22> = 3 × 13 × 47 × 253427327 × 12677028079
<11>
53×1022+19 = 58888888888888888888889
<23> = 12517 × 4704712701836613317
<19>
53×1023+19 = 588888888888888888888889
<24> = 7 × 71 × 2124609547
<10> × 557696402171
<12>
53×1024+19 = 5888888888888888888888889
<25> = 3
2 × 654320987654320987654321
<24>
53×1025+19 = 58888888888888888888888889
<26> = 349 × 168736071314867876472461
<24>
53×1026+19 = 588888888888888888888888889
<27> = 5113 × 111360113993
<12> × 1034255646521
<13>
53×1027+19 = 5888888888888888888888888889
<28> = 3 × 13
2 × 13327 × 90011 × 118411 × 81772140781
<11>
53×1028+19 = 58888888888888888888888888889
<29> = 2683 × 207457 × 105799738467398271419
<21>
53×1029+19 = 588888888888888888888888888889
<30> = 7 × 223 × 16561 × 16840969 × 1352623173182761
<16>
53×1030+19 = 5888888888888888888888888888889
<31> = 3 × 17 × 12841 × 4536807547
<10> × 1982047149354257
<16>
53×1031+19 = 58888888888888888888888888888889
<32> = 120078113 × 61180675733
<11> × 8015954369141
<13>
53×1032+19 = 588888888888888888888888888888889
<33> = 31 × 18996415770609318996415770609319
<32>
53×1033+19 = 5888888888888888888888888888888889
<34> = 3
5 × 13 × 3287077 × 567118554870944149877123
<24>
53×1034+19 = 58888888888888888888888888888888889
<35> = 23 × 97 × 409 × 1601 × 40310589560442874257537191
<26>
53×1035+19 = 588888888888888888888888888888888889
<36> = 7 × 281 × 293 × 11354969 × 16386399377
<11> × 5491511425363
<13>
53×1036+19 = 5888888888888888888888888888888888889
<37> = 3 × 4957 × 395998176914053452282219681856559
<33>
53×1037+19 = 58888888888888888888888888888888888889
<38> = 326405309 × 180416455447080025554636088621
<30>
53×1038+19 = 588888888888888888888888888888888888889
<39> = 19 × 29 × 1068763863682193990723936277475297439
<37>
53×1039+19 = 5888888888888888888888888888888888888889
<40> = 3 × 13 × 61 × 7329229 × 595871357 × 12029432117
<11> × 47117581591
<11>
53×1040+19 = 58888888888888888888888888888888888888889
<41> = 149 × 3079 × 185267 × 692850179375183056547936753777
<30>
53×1041+19 = 588888888888888888888888888888888888888889
<42> = 7 × 424001327250702907
<18> × 198412077321733576592461
<24>
53×1042+19 = 5888888888888888888888888888888888888888889
<43> = 3
2 × 229 × 51748407725491
<14> × 55215165353052770459937839
<26>
53×1043+19 = 58888888888888888888888888888888888888888889
<44> = 4013 × 14674529999723122075476922224991001467453
<41>
53×1044+19 = 588888888888888888888888888888888888888888889
<45> =
definitely prime number 素数
53×1045+19 = 5888888888888888888888888888888888888888888889
<46> = 3 × 13 × 4667681 × 32349500961430525597399897507381287871
<38>
53×1046+19 = 58888888888888888888888888888888888888888888889
<47> = 17 × 3257 × 9281 × 1195673 × 2367931 × 330532363747
<12> × 122454980248841
<15>
53×1047+19 = 588888888888888888888888888888888888888888888889
<48> = 7 × 31 × 317 × 2663 × 2216444129
<10> × 1450395385487912148927777280163
<31>
53×1048+19 = 5888888888888888888888888888888888888888888888889
<49> = 3 × 67 × 501271 × 2507689 × 13773458719
<11> × 1692185759629789241610049
<25>
53×1049+19 = 58888888888888888888888888888888888888888888888889
<50> = 10752283 × 3298799699441195489
<19> × 1660262380176485445205147
<25>
53×1050+19 = 588888888888888888888888888888888888888888888888889
<51> = 739 × 3329 × 239372980092884845924419833288913837876474419
<45>
53×1051+19 = 5
(8
)509
<52> = 3
2 × 13 × 1459 × 1165527063251
<13> × 3765014076529339
<16> × 7861460561971407767
<19>
53×1052+19 = 5
(8
)519
<53> = 167 × 14011 × 78134629 × 322109995359186827336502074359471996393
<39>
53×1053+19 = 5
(8
)529
<54> = 7 × 515067336524795608742933
<24> × 163332011489208868386559634819
<30>
53×1054+19 = 5
(8
)539
<55> = 3 × 5387 × 8707635732559824321347
<22> × 41847052807226106255642564467
<29>
53×1055+19 = 5
(8
)549
<56> = 83 × 2659762210397118455939
<22> × 266754931187012601304719940252097
<33>
53×1056+19 = 5
(8
)559
<57> = 19 × 23 × 479 × 10039 × 2541639593
<10> × 2591150823447679301
<19> × 42551933205159487009
<20>
53×1057+19 = 5
(8
)569
<58> = 3 × 13 × 2221 × 1101236552042737127660087
<25> × 61736154855446249525095147613
<29>
53×1058+19 = 5
(8
)579
<59> = 71 × 499 × 3965856561418753
<16> × 913040169703852921
<18> × 459036879291487520557
<21>
53×1059+19 = 5
(8
)589
<60> = 7
2 × 59
2 × 347769748425739267
<18> × 9927535658504333494476174160217048443
<37>
53×1060+19 = 5
(8
)599
<61> = 3
3 × 409156351 × 533065160425124777181914815781771882809595353321157
<51>
53×1061+19 = 5
(8
)609
<62> = 89 × 1866239 × 1103332147509852948581
<22> × 321343722490917900971861572396339
<33>
53×1062+19 = 5
(8
)619
<63> = 17 × 31 × 3847 × 172049 × 257305087109999
<15> × 6561453166308501629891899557641911631
<37>
53×1063+19 = 5
(8
)629
<64> = 3 × 13 × 281 × 829 × 148512813557
<12> × 21926131499689
<14> × 199059066204226788437870936206463
<33>
53×1064+19 = 5
(8
)639
<65> = 359 × 49019191643784740097637
<23> × 3346360816993614953790702346101339322483
<40>
53×1065+19 = 5
(8
)649
<66> = 7 × 109 × 257 × 5748979083815524879870233019
<28> × 522378110656275874065734192259041
<33>
53×1066+19 = 5
(8
)659
<67> = 3 × 29 × 728264322721541
<15> × 92944794796829466582075448827225219628992044839267
<50>
53×1067+19 = 5
(8
)669
<68> = 47 × 12799 × 49282981339841092466869
<23> × 1986380718175649059629509064098448911077
<40>
53×1068+19 = 5
(8
)679
<69> = 4271 × 29759 × 3730172089977087017722556953
<28> × 1242100072305533309985810443475217
<34>
53×1069+19 = 5
(8
)689
<70> = 3
2 × 13 × 16547659 × 55466237720565729836683461223
<29> × 54838078261045641511833984944681
<32>
53×1070+19 = 5
(8
)699
<71> = 1129 × 2741 × 88195945999353907520556011
<26> × 215765378670882693727673163957842094791
<39>
53×1071+19 = 5
(8
)709
<72> = 7 × 10949 × 212633 × 26514500951240233781
<20> × 1362845863711392305683905690435328510601951
<43>
53×1072+19 = 5
(8
)719
<73> = 3 × 719 × 2171293 × 92347603165931
<14> × 29425049589630370660657
<23> × 462723920953204436611363667
<27>
53×1073+19 = 5
(8
)729
<74> = 9697 × 493408889 × 71486859077
<11> × 172172101114549247911098526761304968708170293928429
<51>
53×1074+19 = 5
(8
)739
<75> = 19 × 2237 × 13147 × 21269 × 49549587224890628757013562795184520972109482524621376411816441
<62>
53×1075+19 = 5
(8
)749
<76> = 3 × 13 × 283 × 142117205582990823131
<21> × 3754357786990020696302411950707766140279854825165687
<52>
53×1076+19 = 5
(8
)759
<77> = 2725732791139691371
<19> × 21623846397854740432531045757
<29> × 999118805914652301317447479687
<30>
53×1077+19 = 5
(8
)769
<78> = 7 × 31 × 233 × 4013 × 2902341725781357583013967727100136759054013957855304987577821344336573
<70>
53×1078+19 = 5
(8
)779
<79> = 3
2 × 17 × 23 × 151 × 1128667 × 419055457115109314790079851167
<30> × 23431485253274463520022226409514083229
<38>
53×1079+19 = 5
(8
)789
<80> = 89209 × 10682802835522217
<17> × 562354460792178941012377
<24> × 109882702364219365064229799447570369
<36>
53×1080+19 = 5
(8
)799
<81> = 383 × 23433124166539
<14> × 111566858321982467377
<21> × 588124387864359253689921572029875156845777861
<45>
53×1081+19 = 5
(8
)809
<82> = 3 × 13 × 67 × 2557 × 31209873851407
<14> × 28240423755099153711251387017524961447270896517250076371121047
<62>
53×1082+19 = 5
(8
)819
<83> = 263 × 2925984664841200192944677627
<28> × 76525392543354864447510303840891461792474968064843789
<53>
53×1083+19 = 5
(8
)829
<84> = 7 × 422309 × 550513 × 380607811 × 950735493016461960237611043590906229478901146570429830821240321
<63>
53×1084+19 = 5
(8
)839
<85> = 3 × 9873967 × 1573989528646067483
<19> × 126304433483466176985753990087744404042099705449211168778983
<60>
53×1085+19 = 5
(8
)849
<86> = 52541 × 175067 × 6402222099829371983420008923940695394643962909226217786208391504574124299287
<76>
53×1086+19 = 5
(8
)859
<87> = 443 × 9001 × 36793 × 4013965836196383789993920220979544356972590115738433655970511795097974324411
<76>
53×1087+19 = 5
(8
)869
<88> = 3
3 × 13 × 811 × 2179 × 10120669987
<11> × 938077880397239164142789661345371859926627002252542549894617367045613
<69>
53×1088+19 = 5
(8
)879
<89> = 1567 × 285465042967769505037
<21> × 23809057250126505138035549
<26> × 5529288246970863313600408377307539544159
<40>
53×1089+19 = 5
(8
)889
<90> = 7 × 60378491 × 1393327039706642005745506030069286212935115985707296444095083199859766733556275597
<82>
53×1090+19 = 5
(8
)899
<91> = 3 × 5897229313825441449973864698721439
<34> × 332861901496860607555339372758486087133691279567835861517
<57> (Makoto Kamada / GGNFS-0.70.3 / 0.29 hours)
53×1091+19 = 5
(8
)909
<92> = 281 × 4495663 × 17881965103
<11> × 30111325271
<11> × 69102325406111
<14> × 1252839726556988112044594452716952689183542349241
<49>
53×1092+19 = 5
(8
)919
<93> = 19 × 31 × 113 × 1028141 × 1364427553793
<13> × 234565544709592041400347911
<27> × 26888850934482632471969033477415652203202039
<44>
53×1093+19 = 5
(8
)929
<94> = 3 × 13 × 71 × 1223 × 173350526137
<12> × 529702203487223703007275499
<27> × 18937690026585875712463325605702669385128109458069
<50>
53×1094+19 = 5
(8
)939
<95> = 17 × 29 × 30135484293233944555519
<23> × 3963768350951859104542916561001162854839415963409113623861314968382467
<70>
53×1095+19 = 5
(8
)949
<96> = 7 × 3560059 × 1568511667109
<13> × 1061507705848988696999
<22> × 14192771800152499469334783233046528884093250660012871183
<56>
53×1096+19 = 5
(8
)959
<97> = 3
2 × 83 × 3119 × 16822831 × 150244402704356279440314955928916906180494447100966813599707335530296503086087667083
<84>
53×1097+19 = 5
(8
)969
<98> = 18859 × 3500039190680569413326057
<25> × 892158037428433240908641773985797204502720646531592898996726887174003
<69>
53×1098+19 = 5
(8
)979
<99> = 3037 × 162131461 × 17020649343187069
<17> × 70265986427052411186864670575727394409480447078165445858328042905680733
<71>
53×1099+19 = 5
(8
)989
<100> = 3 × 13 × 61 × 67919261 × 99835297 × 104157208797321413909728207463
<30> × 3504874880368197865600562776321431847683421350161921
<52> (Makoto Kamada / GGNFS-0.70.8 / 0.40 hours)
53×10100+19 = 5
(8
)999
<101> = 23 × 491 × 120331 × 174533 × 28263217 × 20134338577
<11> × 100762164561348650916977
<24> × 4330245346732795868373830798852378158636792907
<46>
53×10101+19 = 5
(8
)1009
<102> = 7
2 × 10139 × 12397859 × 89683691 × 48776640113
<11> × 21855971169264413030077169549855570868975794347668860944302538475705467
<71>
53×10102+19 = 5
(8
)1019
<103> = 3 × 2043971 × 4195297 × 316008998813
<12> × 1685837176619620275313
<22> × 429694294822034983697840099134670328346957991604291524821
<57>
53×10103+19 = 5
(8
)1029
<104> = 17597 × 35327 × 660234879222823531615373589467
<30> × 143479384203030468046198093958135532280512482215395035709729983593
<66> (Max Dettweiler / GGNFS via factLat.pl snfs / 0.35 hours on Core 2 Duo E4500 (2.2Ghz), 32-bit Windows, Cygwin /
April 25, 2009 2009 年 4 月 25 日)
53×10104+19 = 5
(8
)1039
<105> = 191 × 1013 × 31153 × 1103029 × 3306427 × 234505819 × 139345437839
<12> × 2107326162673
<13> × 389015285048294938891940291366613890345426904005369
<51>
53×10105+19 = 5
(8
)1049
<106> = 3
2 × 13
2 × 89 × 3430934531
<10> × 52617417479355293
<17> × 240975105956071911351886484920661947365374400485205201468003727939096486007
<75>
53×10106+19 = 5
(8
)1059
<107> = 2539 × 23399 × 39246889775375307127821459821
<29> × 25256206294607461185960920791380183401226405805343740583978930919848369
<71>
53×10107+19 = 5
(8
)1069
<108> = 7 × 31 × 197 × 2399 × 1225983469
<10> × 4683737401610164689233282572782720186364392224422923334019148477770128316656093515198268831
<91>
53×10108+19 = 5
(8
)1079
<109> = 3 × 3919 × 43271 × 5340515626437476280999439
<25> × 2167488090490173890462877355606207720161878119853999685328664851990789686133
<76>
53×10109+19 = 5
(8
)1089
<110> = 12917 × 14321 × 6102212322648969953669626693
<28> × 52168823326169855172881182426610333087041113013430107512982132704223924289
<74>
53×10110+19 = 5
(8
)1099
<111> = 17 × 19 × 536777 × 394136903 × 5915033442876753729798779
<25> × 1456909700384697444980506942454288599711450922395727730788657014714807
<70>
53×10111+19 = 5
(8
)1109
<112> = 3 × 13 × 4013 × 153359 × 15233720632293220949
<20> × 16105875532236197082349346401140574946033826688551208176031097491275535009190077697
<83>
53×10112+19 = 5
(8
)1119
<113> = 386672227 × 184980971587742311
<18> × 24261531333473826408839
<23> × 33934786031848053077425615907366054681037300149686444192736313283
<65>
53×10113+19 = 5
(8
)1129
<114> = 7 × 47 × 289531175486154600675813449406456787961
<39> × 6182186873256482269014449455225313046649108060530092150465438847951149881
<73> (Ignacio Santos / GGNFS, Msieve snfs / 1.06 hours /
April 25, 2009 2009 年 4 月 25 日)
53×10114+19 = 5
(8
)1139
<115> = 3
4 × 67 × 1721 × 1979 × 5221883167
<10> × 6805051639168721
<16> × 163762338583210367191
<21> × 127058407204914243037270087
<27> × 430894409767738765705964965437967
<33>
53×10115+19 = 5
(8
)1149
<116> = 11558232263
<11> × 40510266287
<11> × 302477825779
<12> × 206358822281429953398125923
<27> × 2014931384907428956771142800140968401119017796125464078457
<58>
53×10116+19 = 5
(8
)1159
<117> = 22419653 × 17579751683282694343723
<23> × 39077826451099586894123
<23> × 38235021393388129958999552921046839773637940828761207704376784397
<65>
53×10117+19 = 5
(8
)1169
<118> = 3 × 13 × 59 × 131 × 3459575258879
<13> × 1672766654677514777
<19> × 922970064861157287036355835839364279
<36> × 3657629278054723987235307833499770126426083567
<46> (Makoto Kamada / Msieve 1.41 for P36 x P46 /
April 24, 2009 2009 年 4 月 24 日)
53×10118+19 = 5
(8
)1179
<119> = 6932155488143
<13> ×
8495032892671621964812576770049606021008482495810497303719449948733897693297086864008236375458477178231223<106>
53×10119+19 = 5
(8
)1189
<120> = 7 × 281 × 122111145041
<12> × 533710242503
<12> × 35145772660259616219583
<23> × 4113731018789437033473190175627
<31> × 31773069460948353816154434410162725919869
<41> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1873602012 for P31 /
April 22, 2009 2009 年 4 月 22 日)
53×10120+19 = 5
(8
)1199
<121> = 3 × 653 × 1218916529
<10> ×
2466181058729646871397018515478744623642697180962412407297264085551470918726012673572586479243231255930837199<109>
53×10121+19 = 5
(8
)1209
<122> = 7507 × 23914464969103
<14> ×
328024494814439443050208433302400111249720911942406219339353008265581105497789107040723813075935867904909<105>
53×10122+19 = 5
(8
)1219
<123> = 23 × 29 × 31 × 273932137479115188362599
<24> × 4502254408284188192537778277
<28> × 23092598999104297688126348950481909095221768607019136768796877913559
<68>
53×10123+19 = 5
(8
)1229
<124> = 3
2 × 13 × 4423 ×
11379693345176802860124888913795387531162646092181098587007095560867510524606010324602532003240421357837892618207638179<119>
53×10124+19 = 5
(8
)1239
<125> = 83921329 ×
701715399298417794228316962054889393957153477501397635026596026486769399098635448074099123107176828537699741252773641<117>
53×10125+19 = 5
(8
)1249
<126> = 7 × 1433 × 18307 × 208997227 × 259096480001
<12> × 59220205689122677232267433479807231450569316879608139454156923439896513496829464464691482884307671
<98>
53×10126+19 = 5
(8
)1259
<127> = 3 × 17 × 317 × 2142846283
<10> ×
169985901877301709594320880512772392533385220857440244277987409689411908709696223955706253512283951867154937537149<114>
53×10127+19 = 5
(8
)1269
<128> = 11597 × 19883711 × 111454369586241493795989262133
<30> × 2291359122139660070004532148593740477997269226745862992180785711814881329696447413242999
<88> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2191162748 for P30 /
April 22, 2009 2009 年 4 月 22 日)
53×10128+19 = 5
(8
)1279
<129> = 19 × 71 × 673 × 941 × 5903 × 921784063808351
<15> × 12421340045339931728781770009
<29> × 10198734659319124820400947026165352095142553000316341381362596248248760401
<74> (Ignacio Santos / GGNFS, Msieve snfs / 2.59 hours /
April 25, 2009 2009 年 4 月 25 日)
53×10129+19 = 5
(8
)1289
<130> = 3 × 13 × 14643271666013
<14> × 989072199016289802344803962923
<30> × 10931462574095153368015708621042439
<35> × 953727634216619886094497007674560185474261384299191
<51> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3274009842 for P30 /
April 22, 2009 2009 年 4 月 22 日) (Makoto Kamada / Msieve 1.41 for P35 x P51 /
April 24, 2009 2009 年 4 月 24 日)
53×10130+19 = 5
(8
)1299
<131> = 97 × 3312111581501
<13> × 1271121747386539
<16> × 98252130102177803
<17> × 21238910222340390665954881
<26> × 382125981660833345278868179
<27> × 180837604891909980515848530736439
<33>
53×10131+19 = 5
(8
)1309
<132> = 7 × 97738343 × 17703811623274986542609
<23> ×
48618725314158859858307753045210207726884844615861587846310076208919212530005063745709509326414258521<101>
53×10132+19 = 5
(8
)1319
<133> = 3
2 × 4643518973
<10> × 79593488079649
<14> × 48429621795706069003
<20> × 9801800613944284483825203726457
<31> × 3729487427193358725267514399562862082318669990920751080263
<58> (Makoto Kamada / Msieve 1.41 for P31 x P58 /
April 24, 2009 2009 年 4 月 24 日)
53×10133+19 = 5
(8
)1329
<134> = 262918391 × 6902507297954552900544343980154530186562139765296085565049
<58> × 32449313991032259990721014237413613972619180694610646930008757342471
<68> (Ignacio Santos / GGNFS, Msieve snfs / 4.06 hours /
April 25, 2009 2009 年 4 月 25 日)
53×10134+19 = 5
(8
)1339
<135> = 379 × 1307 × 27011 ×
44012688661595418101936834495679255490917159915500366891612081274224804369901225574876216642282442577338282302175931372354283<125>
53×10135+19 = 5
(8
)1349
<136> = 3 × 13 × 313 × 1549 × 3049 × 74143 × 186300199 × 1309189589
<10> × 315255488283846235436795881
<27> × 10488199912154755864745774983
<29> × 1708307093986891448752835264729085167873848025113
<49>
53×10136+19 = 5
(8
)1359
<137> = 896561 × 25627855753
<11> × 27385866116897
<14> ×
93586836099717041427108289838291357933950217423756553739593722078855100436818932695724579721153796926904289<107>
53×10137+19 = 5
(8
)1369
<138> = 7 × 31 × 83 × 563 × 36467916497685454043561178729676819
<35> × 1592488069431850510302639201300386274192150371140061427937716746570830122530356070413043274127267
<97> (Robert Backstrom / GMP-ECM 6.2.1 B1=2328000, sigma=2561432034 for P35 /
April 25, 2009 2009 年 4 月 25 日)
53×10138+19 = 5
(8
)1379
<139> = 3 × 568606156271
<12> × 421748910868721
<15> × 633237938276842858605725159374066027361003
<42> × 12926461350690842029880554414352022638905256637045133099332495876548231
<71> (Ignacio Santos / GGNFS, Msieve snfs / 5.99 hours /
April 25, 2009 2009 年 4 月 25 日)
53×10139+19 = 5
(8
)1389
<140> = 657413 × 20410696260847223
<17> × 3823221382006965053370031871
<28> × 1147909912481955400864275487581850051490198848660755509554577765803385411796416171962164541
<91>
53×10140+19 = 5
(8
)1399
<141> = 577153 × 11923297 × 3492350119576818700587648285417907
<34> × 626497419541031597886693211292085596727199999
<45> × 39111905731165024668312789845345170825587785659453
<50> (Robert Backstrom / GMP-ECM 6.2.1 B1=882000, sigma=3328769994 for P34, GGNFS-0.77.1-20060513-pentium-m gnfs for P45 x P50 / 3.36 hours /
April 26, 2009 2009 年 4 月 26 日)
53×10141+19 = 5
(8
)1409
<142> = 3
3 × 13 × 349 ×
48072954790560648567652706462002864422476011142041068815981264246148041117795972937647563562877157273846226409104473415202482378540958611<137>
53×10142+19 = 5
(8
)1419
<143> = 17
2 × 6379 × 2008796784103
<13> × 24838614894526801
<17> × 2068776505732953917580438564404929945073177
<43> × 309461026129065613336287718747252395686825797638200927646978423349
<66> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 gnfs for P43 x P66 / 9.15 hours, 0.45 hours /
April 26, 2009 2009 年 4 月 26 日)
53×10143+19 = 5
(8
)1429
<144> = 7
3 × 79473050106862706275240784169605362262487122995225933
<53> × 21603263304638811935007782608993962985407454791157017884866832547047245476678698092370731
<89> (Serge Batalov / Msieve-1.41 snfs / 6.28 hours on Phenom II X4 940/openSUSE/x86_64 /
April 25, 2009 2009 年 4 月 25 日)
53×10144+19 = 5
(8
)1439
<145> = 3 × 23 × 3347 × 6111936759569
<13> × 30640070353597
<14> × 70182313997449
<14> ×
1940136399326423063282783178301205687477619526249111882137772299752626865214823286295311297673328939<100>
53×10145+19 = 5
(8
)1449
<146> = 4013 × 2086472299
<10> × 2895230432243
<13> × 57968818127543191603945489
<26> × 600768533553563816773369126147
<30> × 69753630841413122154141893581212807753891601974141248210480679263
<65> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3838722880 for P30 /
April 23, 2009 2009 年 4 月 23 日)
53×10146+19 = 5
(8
)1459
<147> = 19 × 541 × 1172317 × 235060575725579
<15> × 9237495928744902899345213964123421
<34> × 22506262284520226043638845786993481451478146780791861537970684431898609724245820689195797
<89> (Ignacio Santos / GGNFS, Msieve snfs / 8.46 hours /
April 25, 2009 2009 年 4 月 25 日)
53×10147+19 = 5
(8
)1469
<148> = 3 × 13 × 67 × 281 ×
8020244914067615507037613586718595482604618420202421902108522387908376116800188611948318752376754182671216718064330535781112081106769586081213<142>
53×10148+19 = 5
(8
)1479
<149> = 5651 × 26801 × 108707012291
<12> × 773474143085751735235970207
<27> ×
4624381918247184898467027790292655461967775554945190578975688734704415260947274004961992156153800781647<103>
53×10149+19 = 5
(8
)1489
<150> = 7 × 89 × 181 × 13860095467
<11> × 127907351040860227747
<21> × 298749405551037697759977109415955797
<36> × 9860477861640212173667954263879056032708182342505378235882532507138565347054351
<79> (Ignacio Santos / GGNFS, Msieve snfs / 11.63 hours /
April 26, 2009 2009 年 4 月 26 日)
53×10150+19 = 5
(8
)1499
<151> = 3
2 × 29 × 1049 ×
21508858606039281669054961626978764263315505330341572849489529852875348859482626726745372856063935690947733067759803676878504574284901471165345901<146>
53×10151+19 = 5
(8
)1509
<152> = 11005133755709399739846139646663420523079
<41> ×
5351037997001869599349449652602850650625326819936478162439626755570976783012160572839424777050332270827075435391<112> (Sinkiti Sibata / Msieve 1.40 snfs / 17.28 hours /
April 28, 2009 2009 年 4 月 28 日)
53×10152+19 = 5
(8
)1519
<153> = 31 × 625913 × 6958847334209
<13> × 210814408739207324962612124821
<30> ×
20688075617540906499953026451261388295816455794590976409066846398452495743997943095566505674959763304867<104> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2236419490 for P30 /
April 23, 2009 2009 年 4 月 23 日)
53×10153+19 = 5
(8
)1529
<154> = 3 × 13 × 151 × 1104819812890349325391
<22> × 5337056004796930905390628567
<28> × 7961885334239550480336605084633
<31> × 21300150554817246934507773260046199194433393097835926658634652295145801
<71> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1149936533 for P31 /
April 23, 2009 2009 年 4 月 23 日)
53×10154+19 = 5
(8
)1539
<155> = 37971697959006556067063120880293
<32> × 26750290160545884056238066771927664782732542089391686301
<56> × 57975545719181940975342922884870737353678736928569607670017493537673
<68> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3638990105 for P32 /
April 23, 2009 2009 年 4 月 23 日) (Ignacio Santos / GGNFS, Msieve snfs / 15.78 hours /
April 27, 2009 2009 年 4 月 27 日)
53×10155+19 = 5
(8
)1549
<156> = 7 × 1792927 × 3543577 × 2443577634254454687137637845111973397935401399897115454809979896223
<67> × 5418819651805614652357594463326606111851486150836128615586608425053563039831
<76> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 15.04 hours, 0.56 hours /
April 27, 2009 2009 年 4 月 27 日)
53×10156+19 = 5
(8
)1559
<157> = 3 × 179 × 44685583042943812043
<20> ×
245409655404229865935923126115924253478108340640902509581247220049249609428727409457446715077100214642440526375334467256534947889875779<135>
53×10157+19 = 5
(8
)1569
<158> = 21817969 ×
2699100401549240852294220827286393563437957441817287800202158545962224480605361978875709690892350653211070603725254577494765387598125604124237635908681<151>
53×10158+19 = 5
(8
)1579
<159> = 17 × 89803869709
<11> × 19946527811963839934482153629736138114375201
<44> ×
19338468652164063844346333500613745540736302026055121157305398505959820677361605766269700887682845416813<104> (Erik Branger / GGNFS, Msieve snfs / 49.58 hours /
April 28, 2009 2009 年 4 月 28 日)
53×10159+19 = 5
(8
)1589
<160> = 3
2 × 13 × 47 × 61 × 543172787 × 146740646009623
<15> × 10377904187206720222921982134102753
<35> × 21223730306600451520506577284963975239844497432815229537295512873899546101677447590414810139556667
<98> (Erik Branger / GGNFS, Msieve snfs / 35.62 hours /
April 28, 2009 2009 年 4 月 28 日)
53×10160+19 = 5
(8
)1599
<161> = 40237 × 51203 × 76558171429
<11> × 204704040097
<12> ×
1823872158981217353941763837536806078314542256882291211623390720958882471141621110941056108695374587342474744601398818839047814323<130>
53×10161+19 = 5
(8
)1609
<162> = 7 × 709718732680925963273434075511
<30> ×
118535668079661328446835390169781367112696291073297653940264980679589480803529870838577090978612622055485143543597553998658585880057<132> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=275210792 for P30 /
April 23, 2009 2009 年 4 月 23 日)
53×10162+19 = 5
(8
)1619
<163> = 3 × 1723 × 2655315417745817
<16> × 171350162476640484283
<21> × 26342549352212524177658708353759886900127603649
<47> × 95053560209664005393787353568489591164108220293809699182000297998744547765379
<77> (Ignacio Santos / GGNFS, Msieve snfs / 35.93 hours /
April 26, 2009 2009 年 4 月 26 日)
53×10163+19 = 5
(8
)1629
<164> = 71 × 125441 × 543667994926069758106471
<24> × 141981755621425466912511299686577381546348961449
<48> × 85658249428232845412735044023039818341069505361385323720612300437103972695570075959681
<86> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 34.15 hours, 1.07 hours /
May 5, 2009 2009 年 5 月 5 日)
53×10164+19 = 5
(8
)1639
<165> = 19 × 7275791921399
<13> ×
4259900830262339947382269071322731189406204336971245580037338324583558103583280355806356885646210009228050865985198334983490465234779403356022494070869<151>
53×10165+19 = 5
(8
)1649
<166> = 3 × 13 ×
150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997151<165>
53×10166+19 = 5
(8
)1659
<167> = 23 × 909518249142631
<15> × 101908807772549968092207768219787
<33> ×
27623734159715430740229212625948447694972356799499723931346911102607938595696028274216199990446929662922041541312235019<119> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=183289767 for P33 /
April 23, 2009 2009 年 4 月 23 日)
53×10167+19 = 5
(8
)1669
<168> = 7 × 31 × 5801 × 2171422861
<10> × 135266161385821144300657096869448610669383
<42> ×
1592711769493037551738175961976900809985538358919210031942464262455167074834538118938696628704611091433213992059<112> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 43.70 hours, 1.36 hours /
April 30, 2009 2009 年 4 月 30 日)
53×10168+19 = 5
(8
)1679
<169> = 3
3 × 97871 × 49048796603
<11> × 458386770874262077570867
<24> × 15411402341570770700756659
<26> × 1367038993699028857971861131191
<31> × 45066025056904692418507137599401
<32> × 104395751098716970128892501976970215911993
<42> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=4041292653 for P31 /
April 23, 2009 2009 年 4 月 23 日) (Makoto Kamada / Msieve 1.41 for P32 x P42 /
April 24, 2009 2009 年 4 月 24 日)
53×10169+19 = 5
(8
)1689
<170> = 9851 × 38047 × 5043595148840315585593
<22> ×
31152464110448827547829360077099558730718457895031237088310904127147226554013552023052876542623250204039132573785960626801130941041464684909<140>
53×10170+19 = 5
(8
)1699
<171> = 1559 × 2903 × 370723 × 33658580232709090033
<20> × 67871489825328151030318753
<26> × 15878422731457635314161599067107119872220986892417
<50> × 9676095432618857994298840083734799477765342988159463785324899923
<64> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 gnfs for P50 x P64 / 18.46 hours, 0.99 hours /
April 29, 2009 2009 年 4 月 29 日)
53×10171+19 = 5
(8
)1709
<172> = 3 × 13 × 12517 × 811991 × 41965866407
<11> × 3955013221717
<13> × 19945568457173
<14> × 194033779430545213
<18> ×
23128602404611901024778204483779271141862203318066047959981787271320406471696008251310554054505593403523943<107>
53×10172+19 = 5
(8
)1719
<173> = 807379 × 603812754341
<12> × 28759572858649
<14> × 9993027152629419597904559069
<28> × 35301764274656969995635746440541350381
<38> × 11906324612627081905737388568432204863860375854067088525617352372196014894391
<77> (Robert Backstrom / GMP-ECM 6.2.1 B1=1172000, sigma=1695054277 for P38 /
April 27, 2009 2009 年 4 月 27 日)
53×10173+19 = 5
(8
)1729
<174> = 7 × 109 × 337 × 32117 × 927467459 × 1355939609
<10> × 13693646389597
<14> × 42233535190407367625899
<23> ×
98045660498502488205160495288316797455301845182847830077344500910458853238840815853824831792996948758790713699<110>
53×10174+19 = 5
(8
)1739
<175> = 3 × 17 × 24611 × 190335731164766587
<18> ×
24649811293360697678224251957551845936540585639257504363540365080187932709810863024825847934510206585477348379835972682442952396800510998042158817248627<152>
53×10175+19 = 5
(8
)1749
<176> = 59 × 281 × 66449 × 3359701150017343
<16> × 877747172492967495127142302830627916616575312789
<48> ×
18126605868851081779459191764965506287093068015187871080859858686135207440387014241240173116363942999017<104> (Warut Roonguthai / Msieve 1.48 snfs /
October 12, 2011 2011 年 10 月 12 日)
53×10176+19 = 5
(8
)1759
<177> = 8294092389637679
<16> ×
71001004235812960813258179375514456464645755202350212011510956903521007234057290715921210098597922376534195650824807751061401434191307207988132563808390018131991<161>
53×10177+19 = 5
(8
)1769
<178> = 3
2 × 13 × 1259 × 217157 × 408533 × 155122246988641
<15> × 7672904306658443636134196446552695609599
<40> × 202237566619332517092399359185855046068999439
<45> × 1872082966737778087575829276904880609418952516992931569614440023
<64> (Rich Dickerson / GMP-ECM 6.3 [GMP 5.0.1][ECM] B1=11000000, sigma=1403904305 for P40 /
January 18, 2011 2011 年 1 月 18 日) (Dmitry Domanov / Msieve 1.40 gnfs for P45 x P64 /
January 20, 2011 2011 年 1 月 20 日)
53×10178+19 = 5
(8
)1779
<179> = 29 × 83 × 56671 × 397302042061058419
<18> × 764648480363550491427385880911
<30> × 561805943477853761856674267872978066478843702421886731769
<57> × 2529457794411425253963747749161488771720116899521120577840536881597
<67> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=3079772143 for P30 /
April 25, 2009 2009 年 4 月 25 日) (Markus Tervooren / Msieve 1.42 gnfs for P57 x P67 / 46.33 hours, 0.17 hours /
September 21, 2009 2009 年 9 月 21 日)
53×10179+19 = 5
(8
)1789
<180> = 7 × 4013 × 17839 × 17981 ×
65355450688973339109195516472625633024179205179574210025458709602040136358096011438153413550486408411577605057960613680960406007640812179093999545682063307437389801081<167>
53×10180+19 = 5
(8
)1799
<181> = 3 × 67 × 7753 × 467712874948997340147347573908507417
<36> × 9277642778843380347719533680822774228073
<40> × 870864419203635722315194328196734611935239863623475289867757749407372405846045984600645870268689193
<99> (Robert Backstrom / GMP-ECM 6.2.1 B1=746000, sigma=338678068 for P36, B1=2958000, sigma=314658206 for P40 /
July 6, 2009 2009 年 7 月 6 日)
53×10181+19 = 5
(8
)1809
<182> = 293 × 176243 × 1440161363226367
<16> × 4648807088243344680150847604995364064982182624096839807
<55> ×
170333936382444592738468589628119896338483495405780157358429917327344492289792089987302875715502391722919<105> (Dmitry Domanov / Msieve 1.40 snfs /
December 11, 2012 2012 年 12 月 11 日)
53×10182+19 = 5
(8
)1819
<183> = 19 × 31 × 88883 × 48676801 × 1909934179
<10> × 44909803185561712575377489171512594879
<38> ×
2694125231951175852624904324678327290468308136743054314646170986495012520044492807970631334790960472860374888200542723067<121> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=11000000, sigma=3646388374 for P38 /
January 19, 2011 2011 年 1 月 19 日)
53×10183+19 = 5
(8
)1829
<184> = 3 × 13
2 × 313525843121228417
<18> × 3469107172146883252031
<22> × 8038653128004913635470223675890713077591034477
<46> × 1328467855967764884021265231529515948155546983268589438361051105440036980079613101480144416458713
<97> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=761703653 for P46 /
April 23, 2009 2009 年 4 月 23 日)
53×10184+19 = 5
(8
)1839
<185> = 3570571 × 2272384007
<10> × 2393510226170387
<16> × 152937048474146144538304996869595333
<36> × 597217258688036676171387508287998767084972633927
<48> × 33199658864400082603893441773353482637236315580934201587427733438557861
<71> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=11000000, sigma=3640547026 for P36 /
January 19, 2011 2011 年 1 月 19 日) (Dmitry Domanov / Msieve 1.40 gnfs for P48 x P71 /
January 21, 2011 2011 年 1 月 21 日)
53×10185+19 = 5
(8
)1849
<186> = 7
2 × 902829978413473489444924337
<27> ×
13311632175405183534967107570874937014132001247606973952111223566548486506432888017839423416087662945400355395097519522519423359320799623493647770043920548953<158>
53×10186+19 = 5
(8
)1859
<187> = 3
2 × 12547 × 252766620829
<12> × 75886207539634421
<17> × 232428550344764604099332747485313915067865339
<45> ×
11697118980019449831167863246663311895695297844557316111440541051951869225648033338635044661069754040490609793<110> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P45 x P110 /
November 3, 2016 2016 年 11 月 3 日)
53×10187+19 = 5
(8
)1869
<188> = 7321 × 55786707677
<11> ×
144189030451384347979850386170617801260861566274931789334515254541198062946517225792597836594847884336650788027040032563064297856759509117447071628707979977133530322145722517<174>
53×10188+19 = 5
(8
)1879
<189> = 23 × 149 × 9133 × 1021637597731
<13> × 29078929780665430520713512844261283
<35> × 643666395509113163554290290988549439459048058041177
<51> × 983942401058070351599558503204902675754844350912910853845166431059245258357732551999
<84> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1241649351 for P35 /
April 25, 2009 2009 年 4 月 25 日) (Robert Backstrom / Msieve 1.44 gnfs for P51 x P84 /
June 1, 2012 2012 年 6 月 1 日)
53×10189+19 = 5
(8
)1889
<190> = 3 × 13 × 381181 × 1890738045310576852074564977329988351713715534194259398856686243072087
<70> ×
209510669633689530535928051322848872898733253543389021708070065889120663421372122513377077630086617651858174351533<114> (Ignacio Santos / GGNFS, Msieve snfs /
August 6, 2010 2010 年 8 月 6 日)
53×10190+19 = 5
(8
)1899
<191> = 17 × 9030767258774743
<16> ×
383583386474261498769543417440237420042364019196560588070819348721018100018451633622859069127957672393253728421618883438420675033513101953792811644738434616583909902273409919<174>
53×10191+19 = 5
(8
)1909
<192> = 7 × 2939 × 9281161402879
<13> × 289132267042019139658590673019357
<33> ×
10666866194765111497479208943782071594321661029391739223722554877106913319364559945036795750954746506208661585455768910994186498145902988274831<143> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=3000000, sigma=4209317769 for P33 /
January 19, 2011 2011 年 1 月 19 日)
53×10192+19 = 5
(8
)1919
<193> = 3 × 50917482587
<11> × 45346311841468819589552951241702768145726819056106421268431
<59> ×
850164980128810393064917194842564196232419766587115961430651991559753632332316859367392383848370550774581042232907367068679<123> (matsui / Msieve 1.48 snfs /
February 17, 2011 2011 年 2 月 17 日)
53×10193+19 = 5
(8
)1929
<194> = 89 × 14243 × 476308962166363018339
<21> ×
97533346570587085006508626150961498766146271648119052044720528023443950258218246115560813815745124060877141512421934015103219101904577898755107966644562980231512997913<167>
53×10194+19 = 5
(8
)1939
<195> = 285029662361
<12> × 237666183667050370931
<21> × 4265546019261343047945983746912979
<34> ×
2037986381238047661211739099652131129212450743883141917946588295407384024750315890053816689152359562661517483962891574865553202201<130> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=11000000, sigma=3034660976 for P34 /
January 20, 2011 2011 年 1 月 20 日)
53×10195+19 = 5
(8
)1949
<196> = 3
4 × 13 × 25951 × 6741108811
<10> × 798807315484773786106083395471
<30> ×
40020040194252306342776629924366714161501093035240199502391871405295913297825890367123716177967704294723670730999957297653020507953068707764259704023<149> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=633471676 for P30 /
April 24, 2009 2009 年 4 月 24 日)
53×10196+19 = 5
(8
)1959
<197> = 298128395003
<12> × 27913268210687
<14> × 62510512638626489
<17> × 35185515469066280073861700339946057262331008075400003741
<56> ×
3217379950846685362761206160385882043229249449542389854966873122001670528691831389461707177562636401<100> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P56 x P100 /
October 20, 2017 2017 年 10 月 20 日)
53×10197+19 = 5
(8
)1969
<198> = 7 × 31 × 877 × 2016361 ×
1534637280296163799590453278654487927123068041204484280329882668362634788584617226332569031757358688658838571458412071170780459912630912670375459477293726025265998849320481558438956769661<187>
53×10198+19 = 5
(8
)1979
<199> = 3 × 71 × 87424468960331558703235771
<26> × 19750653502922749744625229280562727394089621601681
<50> ×
16011767813038998152523371361240413599302006081965673664903638316470881533500041367759429821958576693533158335989521047103<122> (Jo Yeong Uk / GMP-ECM 6.4.4 B1=11000000, sigma=8259005656 for P50 x P122 /
March 21, 2018 2018 年 3 月 21 日)
53×10199+19 = 5
(8
)1989
<200> = 191 × 367 × 631 × 2897 × 414154471091467
<15> ×
1109669680513934529799681542071894844271452656655571319527907875508943470558965243558805636667142101372212113843263294877136457491116914696529779021472899078562221986662281773<175>
53×10200+19 = 5
(8
)1999
<201> = 19
2 × 134789 × 23765153 × 39853057 × 320495311303165535602444090245792286865527452470616096560243
<60> ×
39870141007055613317761578874832819150667811960278186650167934533057155387230983243145006692879144331663822471741743247<119> (Robert Backstrom / GGNFS-0.77.1-20060513-nocona, Msieve 1.44 snfs /
September 27, 2012 2012 年 9 月 27 日)
53×10201+19 = 5
(8
)2009
<202> = 3 × 13 × 405683 × 62635489579154110232271623867118103
<35> ×
5942394329616350083543134914418678468815254638488449610157480904899597258932565815669787572083517683998758043054391994015670908338456661773435238069120916598499<160> (Wataru Sakai / GMP-ECM 6.2.3 B1=3000000, sigma=303242967 for P35 /
June 20, 2010 2010 年 6 月 20 日)
53×10202+19 = 5
(8
)2019
<203> = 2854678590966455857
<19> ×
20628903399227148852235095793125856952836972129557823323336715016270506263289839510225646595696540865171744597385238038947781753885158432385498437684708120476762046447638988564475184777<185>
53×10203+19 = 5
(8
)2029
<204> = 7 × 281 × 6991094456219571760445366554492296155281
<40> × 10426850768815615181836931021647259711766292183587961367
<56> ×
4107056453395310217669256819210342286558341010130398838478449929781165334599964077814447204007952661851121<106> (Dmitry Domanov / ECMNET for P40 /
July 1, 2009 2009 年 7 月 1 日) (Bob Backstrom / Msieve 1.44 snfs for P56 x P106 /
November 20, 2023 2023 年 11 月 20 日)
53×10204+19 = 5
(8
)2039
<205> = 3
2 × 113 × 4931 × 106031 × 80522381 × 78406560485739517133849
<23> ×
1754185578785297999300817145151437432033207222550657121395777868027560331008506157635994381698346431466570274947685892318968021335311623130575438262059108599699713<163>
53×10205+19 = 5
(8
)2049
<206> = 47 × 197 × 317 × 946474730253881
<15> × 15947952781883519
<17> × 5893032166055217751510000561
<28> × 8420794288736398704499222545435687464025833710301228005343071
<61> × 26785772730178987921182557831235743663167052364206528013347199524391764791403407
<80> (Markus Tervooren / Msieve 1.48 for P61 x P80 /
December 10, 2010 2010 年 12 月 10 日)
53×10206+19 = 5
(8
)2059
<207> = 17 × 29 × 12528143 × 1713847868093
<13> × 10609272425840892326334191
<26> ×
5243748681556153981241899450270556988908895870754775843847719445512266963532543404500340680593046242345140717399334020692988821724189534570485738593204893535297<160>
53×10207+19 = 5
(8
)2069
<208> = 3 × 13 × 419557 × 54266615209
<11> × 11090434008429949
<17> × 15099045892584566217708469463
<29> ×
39604724869727488616794225499398102849378553089205398896498011721931696445079918556746820666755210217849489354902130319876912084493258919632174721<146>
53×10208+19 = 5
(8
)2079
<209> = 51357889931
<11> × 11841060582919322283639313802969
<32> ×
96835719745119502114133639892545642590497609279589740567205770747407925799281756271578814646457784646501577579948464336312316268708406997812209128513972375533910141251<167> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2892106737 for P32 /
November 21, 2012 2012 年 11 月 21 日)
53×10209+19 = 5
(8
)2089
<210> = 7 × 193 × 2131 × 121447 × 137301304687
<12> × 50165769690247
<14> × 25022678661191441
<17> × 18834647593731399751633018803354721
<35> ×
518841048811895344330022166150216464171197717212269097672078198066007567906723524882959622815335905312943668595490930115563<123> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=1418661596 for P35 /
November 21, 2012 2012 年 11 月 21 日)
53×10210+19 = 5
(8
)2099
<211> = 3 × 23 × 269 × 2647 × 3383868951223
<13> ×
35421301332930557713761492929497633699798751168747529392054935216594477220833234325927178375168983883636075129791595447919966784732308365293848323089400809590409210132498772231385095499640329<191>
53×10211+19 = 5
(8
)2109
<212> = 487 × 156971 × 35666258660257
<14> × 8500096737484501190631368771184048532729
<40> ×
[2540993480397853921853906421106724466491207225464665125916594955712069168638455078380714215608693106513476283406648200799481730822240676019603509432869<151>] (Serge Batalov / GMP-ECM B1=3000000, sigma=3592708182 for P40 /
May 26, 2014 2014 年 5 月 26 日)
Free to factor
53×10212+19 = 5
(8
)2119
<213> = 31 × 2100523 × 5559311 × 1533232391167149037
<19> × 198875916428173045618079
<24> ×
5334983436796576754273814526503249725058423536064420521078660133953300373441007050194559515276424783479869364978337370130559503775813921854506639921863485401<157>
53×10213+19 = 5
(8
)2129
<214> = 3
2 × 13 × 67 × 1459 × 4013 × 30389 × 1972967 × 324112153 × 136048743937
<12> ×
[48531326431869436672006276717696126131308016347768014464322249983310673094457730677893649022847588144293180005770381276459462003084256102694110831668910807306744951675079171<173>]
Free to factor
53×10214+19 = 5
(8
)2139
<215> = 18371 × 19584538047640970902409
<23> ×
[163676839676049597425049410437887055581041629156493459613952156513944263873911819290700256468608971137979699724038869122588201474104566849054805876564950579635834379010771775578456765945851<189>]
Free to factor
53×10215+19 = 5
(8
)2149
<216> = 7 × 47221 × 1332283 × 21798141940706552012847325771916531
<35> × 40584334693224583909044125231917481
<35> ×
1511561239267999287811058881760452683429463623353170121398087999595290751722933107831998537483607279497080463861053759164450349833373099<136> (Serge Batalov / GMP-ECM B1=3000000, sigma=2996072668 for P35 /
January 9, 2014 2014 年 1 月 9 日) (Serge Batalov / GMP-ECM B1=3000000, sigma=2930894750 for P35 /
January 9, 2014 2014 年 1 月 9 日)
53×10216+19 = 5
(8
)2159
<217> = 3 × 283 × 48463 × 40697198551349229781
<20> ×
[3516825827561496232731892882083746740178685631222699095896235642891873349064039069308114109448380287086809467901115642234889919367977075817817559042724922844104039080233029709156276505804587<190>]
Free to factor
53×10217+19 = 5
(8
)2169
<218> = 4253 × 663001 × 805413863 × 3216085788313
<13> × 96991767770476269459467
<23> × 369191102343354125563549
<24> ×
225159858928044977120859177528655377230361787783643813781294013278391395983004587778737931773930489828158198321575011666519224764103338959269<141>
53×10218+19 = 5
(8
)2179
<219> = 19 × 167 × 97162097399
<11> ×
[1910145311796756461822631285545582476697342117606946537560119143765341651747783232049702882579418567685516785086424000014887112839994133006788717046200637101295131591680693888952036518402529404273902291107<205>]
Free to factor
53×10219+19 = 5
(8
)2189
<220> = 3 × 13 × 61 × 83 × 691933733467
<12> × 120784087402691
<15> × 13929140945227875048449514477176102811848204379237043
<53> ×
25619005474393456279163185995359371360921277261810487912918890220947432726837327129973330474086050960263555374692099737662707709862918787<137> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P53 x P137 /
March 10, 2021 2021 年 3 月 10 日)
53×10220+19 = 5
(8
)2199
<221> = 43627 × 4489189 ×
300683862351758915462391139620931161813107531729592153826456048687775833244137339167543327823336349966177685549704961003530079349937810397841974627288838392984625534238975999443634805214352690567671441508344463<210>
53×10221+19 = 5
(8
)2209
<222> = 7 × 2767 × 210869 × 7193297 × 44242369537
<11> × 5529288520801
<13> × 2300816346720928660787791
<25> × 30525013613925696965761734468007
<32> × 10829929985639582701673419322868264622074601643944151851640209
<62> × 107724461016875307851244608422041625825543237405653555649770620677
<66> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2732152245 for P32, Msieve 1.49 gnfs for P62 x P66 /
November 24, 2012 2012 年 11 月 24 日)
53×10222+19 = 5
(8
)2219
<223> = 3
3 × 17 × 2957 × 11784526031215803622813427572959987236977427
<44> ×
368177487777333387771027802279764674907520624181068681269980980978848890232949723599135175045376234117449983928274035587682668637764105781784559729277989299905507279482754189<174> (Bob Backstrom / Msieve 1.54 snfs for P44 x P174 /
June 22, 2019 2019 年 6 月 22 日)
53×10223+19 = 5
(8
)2229
<224> = 827 × 27997 × 28183 × 393503633 × 585244054874062819423
<21> ×
[391871226053753649059431697970512768178741870220839791863958298124384032333429627093797821957762977285406398417695757892780263378528863642745653408986943321650480477012550689271107823<183>]
Free to factor
53×10224+19 = 5
(8
)2239
<225> = 659 × 1811323 × 5593268497
<10> × 12177431867
<11> ×
[7243203181259068919916520034636899321155522047159142437530019705428988395831245561042844105500268979717709711795648739379935834539446167661456415729291913042367260807715223838796137584490385750923<196>]
Free to factor
53×10225+19 = 5
(8
)2249
<226> = 3 × 13 × 883 × 1527349 × 3461184127
<10> × 88518468264268023564917
<23> × 930826781184951699243961
<24> × 1149925007150117522324893
<25> × 5642046998075218888787798681
<28> × 5136607994888678941350600111352461019309
<40> × 11780389760118713821533110004193072752480565748778947324590292755451
<68> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=1414789021 for P28, B1=1000000, sigma=448328688 for P40 /
November 22, 2012 2012 年 11 月 22 日)
53×10226+19 = 5
(8
)2259
<227> = 97 × 10831 × 11273 × 106735337 ×
46584918219734275170505236719384396506268800512080386142754329113666437034869390135257402404419819243194613835822768932871607048611894830477383005780415391107094466819759534335576654143234654440817905896459527<209>
53×10227+19 = 5
(8
)2269
<228> = 7
2 × 31 × 1015277 × 281066641 ×
[1358569107620769494912746262476582508984530061203191064589411993830895012105594527924692253220444119643426364649087164077499176358430733051831355942577370093905123705280043793431806611594807370970548032621602083<211>]
Free to factor
53×10228+19 = 5
(8
)2279
<229> = 3 × 151 × 6498043463
<10> × 3009086564565667441
<19> × 1292045837902658641488924243281
<31> ×
[514564645201610900042110754243109514196670210349237517324326495661177740453815672387732585708335770476140580274940056900746771546522074501378626648621641892847393121331<168>] (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=3767127668 for P31 /
November 20, 2012 2012 年 11 月 20 日)
Free to factor
53×10229+19 = 5
(8
)2289
<230> = 4651 × 137428043994126823776288620369
<30> ×
[92132245337432823303540570962786963560242072659691596795967149956491750633635852727057845012258572112028143356361744296936178477212781934191582782898914347456655098236443620753264491491931700351931<197>] (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=4071731325 for P30 /
November 20, 2012 2012 年 11 月 20 日)
Free to factor
53×10230+19 = 5
(8
)2299
<231> = 28901 × 379645261 × 54572358779
<11> × 169990702043341710577
<21> × 4886412761034868835327
<22> × 701785782277807468086932243207
<30> ×
1687135248139191242350559551224024984665348535304429421075735056517714254104220837941386274997480369546795206461643315476402401167783427<136> (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=1618565347 for P30 /
November 20, 2012 2012 年 11 月 20 日)
53×10231+19 = 5
(8
)2309
<232> = 3
2 × 13 × 281 × 709 × 606048882728593
<15> × 10645153168711643
<17> ×
39159340919167904635979122800863917207577331372138943988931502687452849445434241256083986403338931794977680626774220900101628336731773141867197803286862483525889117471672426856147807494031706027<194>
53×10232+19 = 5
(8
)2319
<233> = 23 × 80722247 × 3291479783328483206711
<22> × 121340354397766391804134027
<27> ×
[79417430318865785392347860477159902572137928901339294984963855597401328047426699555259328273233699572656721313249601630878918579843876430976948015106204282262465694199591186477<176>]
Free to factor
53×10233+19 = 5
(8
)2329
<234> = 7 × 59 × 71 × 755437 × 2291664830139086923
<19> ×
11600470607764156191160208124961599049232465510936607563537804955830166626002280369439633591686044207052095464520232376321672575496457134732269548538305151180177642520549046117083265522907153362111496763493<206>
53×10234+19 = 5
(8
)2339
<235> = 3 × 29 × 593 × 1601 × 10193 × 7043478571529258279
<19> × 14421388802015928979237
<23> ×
[68860754155469239386779694329946726567605991018286474057706105326808724187870374205956219860732589470620665252690989633177720540548870853603858361161316329443458142549124271039196261<182>]
Free to factor
53×10235+19 = 5
(8
)2349
<236> = 22436383 × 195501353 × 64746781865343031
<17> × 363654776706491191
<18> ×
[570194815133954629455213618282738173169573363537292525149087093765979667664794370596901214098082443684327269316819913843609046696405008937557012998080358447159440971586159527428513346591<186>]
Free to factor
53×10236+19 = 5
(8
)2359
<237> = 19 × 11875087283454541721822025107730136093
<38> ×
2610014672478872184790227495580788896387047421049588572208909960435671208519301722922970129552461344152408015885640490585469187687580693912948017175750646069419989953494726583983792035209334556177567<199> (Serge Batalov / GMP-ECM B1=11000000, sigma=1730829493 for P38 /
November 8, 2013 2013 年 11 月 8 日)
53×10237+19 = 5
(8
)2369
<238> = 3 × 13 × 89 × 2777317 × 20717819 × 10334242506412224251
<20> ×
2853189458737698058384578197647428245299781899624820165774074825060741638697740568873516174862233429349916381822724414318499780849865952542480807101750785045937254241055990259119384638254763388003080483<202>
53×10238+19 = 5
(8
)2379
<239> = 17 × 409 × 1845721383149792983591349
<25> ×
4588756229749121818805687132279078240220774512414085339008876731542336142812571259487394958557161130103485229941911173994703256065892554528552444662765335933002923139297245782597028503908800813302102842738995437<211>
53×10239+19 = 5
(8
)2389
<240> = 7 × 92993 × 99510701 × 513950257427
<12> ×
[17688629608418102592208142938163179666410292644582269246372413237853820550244689771697074168824290515925810623883438538589084955624093160489211353527933503737738638041219366281644288317583718224741307462821556485657<215>]
Free to factor
53×10240+19 = 5
(8
)2399
<241> = 3
2 × 1487 × 444523 ×
989887056442075962752280388659342270414579960868326894588040758296456792063766160549833121113006841758420760813258080590020490087000002522400313842861981086485345841700974458495612361323624430163557173799606388449269447860613314621<231>
53×10241+19 = 5
(8
)2409
<242> = 84130817 ×
[699968109056743011171386685676532641884232372174501632248369689419382304214267750292843214501160601933639713600890014997582739377045261415788805294603152241929243227114850066045226791139908802845560015052378356065279728460130000745017<234>]
Free to factor
53×10242+19 = 5
(8
)2419
<243> = 31 × 1327 × 2420279 × 128105207 × 148620931 × 183404219 × 5706591061
<10> × 3913003684463
<13> ×
75856398648286332987409893758353714363323690730140157147554984078135616653408540389833897910299054650161295177445943627363951873405349762982066560134840037307872229998196921417897206187<185>
53×10243+19 = 5
(8
)2429
<244> = 3 × 13 × 359 × 11239 ×
[37423692270610371403942140144495601431395786557292663789613701145893192043671336206457517273094051230073304024410906757768474120779971799637949220047568888069324150310548400565727318645244461164502822071559662335514725756524546601182351<236>]
Free to factor
53×10244+19 = 5
(8
)2439
<245> = 4165188735276958847721222676363
<31> ×
[14138348255417805994663292123114962135085631860915288045171250131192220108663053275529995182181048068200797649591095264501549384901015814904445501705617476587022155504724330270053687125165329754670408637689884934603<215>] (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=862714314 for P31 /
November 20, 2012 2012 年 11 月 20 日)
Free to factor
53×10245+19 = 5
(8
)2449
<246> = 7 × 39087019121
<11> ×
[2152299817659562348495287910266431160736223288808520011165242935921762970401852970889387024027367096469360027464218256291525275254488601988066834760944474197683010981403821003445277899297091476051906530009449859887845401578330478288687<235>]
Free to factor
53×10246+19 = 5
(8
)2459
<247> = 3 × 67 × 6727806433
<10> × 2278583036179
<13> × 3118847617632547
<16> × 126503517408354377
<18> × 1400470655850621696350575187
<28> × 13964945657271615602866061911036908099103790113
<47> ×
247678856670480126409996679407170328410887087306398042853679070157882059491043586522332722816692710040698153130426443<117> (yoyo / GMP-ECM 7.0.5-dev [configured with GMP 6.1.0, --enable-assert] B1=110000000, sigma=0:12013291993586279958 for P47 x P117 /
July 8, 2022 2022 年 7 月 8 日)
53×10247+19 = 5
(8
)2469
<248> = 131 × 647 × 4013 × 116833 × 145757 × 1154751529
<10> × 3569740181565718002071137215977
<31> × 164809478774078763104962559788600467123991
<42> ×
14965331278509232286670639743454859591896464396400806320968931871748707222094017751935787860248817814236311278134334519172571165378486737319827744603<149> (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=4219447995 for P31 /
November 20, 2012 2012 年 11 月 20 日) (Serge Batalov / GMP-ECM B1=11000000, sigma=2104215373 for P42 /
May 27, 2014 2014 年 5 月 27 日)
53×10248+19 = 5
(8
)2479
<249> = 40933 × 50881296683265419494298969
<26> × 42140641599307298274730876079835433386709
<41> ×
[6709659335213395653225786238249025632792580949080901462929168162933939923423491314796314222494434014010907153895439862698586256261287833749731762698717602490049486272842294501273<178>] (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=1893284577 for P41 /
November 21, 2012 2012 年 11 月 21 日)
Free to factor
53×10249+19 = 5
(8
)2489
<250> = 3
3 × 13 × 766386608244001
<15> × 691576107414992186771095861
<27> ×
31654711193626434851368598387839583536537653420748281352501186692626497429564114005729420842105439224545346606312768156896659025689562776624036974440223556419206755118381646890588942066628952640279087009099<206>
53×10250+19 = 5
(8
)2499
<251> = 409781 × 19672573552477511
<17> × 2586181290944158375038495565279
<31> ×
[2824628904155215356982184093858537775770124606556535454165996390211070694722843374813315814424883700045985457430275192046422323087141587709068550490576251131961790486595984308449872282766585290501501<199>] (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=3733942265 for P31 /
November 21, 2012 2012 年 11 月 21 日)
Free to factor
53×10251+19 = 5
(8
)2509
<252> = 7 × 47 × 223 × 4149122683
<10> × 34979485391
<11> × 415700853055175353959977
<24> × 26845887669394161079675077774701
<32> × 49850161892219261129620074499751170709
<38> × 4696082526223998988693596455021504072266239513164531199323400460531
<67> × 21169077312006256612747471007564802726174895890716551205653664100233
<68> (Jason Parker-Burlingham / GMP-ECM for P32 /
January 2, 2021 2021 年 1 月 2 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1754173392 for P38 /
March 2, 2021 2021 年 3 月 2 日) (Eric Jeancolas / cado-nfs-3.0.0 for P67 x P68 /
March 3, 2021 2021 年 3 月 3 日)
53×10252+19 = 5
(8
)2519
<253> = 3 × 24551 × 13142856407
<11> × 66076426184723
<14> × 56206113725487690656125100053105531
<35> ×
1638034530624081226868656448926115639888436533091408657308277441567211705180734387183909879600530925844917250543060896451330915624467318804495335282503769578661113544264681566653346095563443<190> (Jason Parker-Burlingham / GMP-ECM for P35 x P190 /
January 2, 2021 2021 年 1 月 2 日)
53×10253+19 = 5
(8
)2529
<254> = 5119 × 9817 × 48518232874379462928702488872213
<32> ×
24152632035922878500702324287181546184158289591853073150015656312834053084452650915691083315218227340969571653024036654133807663339697093045590886720808083898631185590127069977524406823786599923909790960186108928611<215> (Jason Parker-Burlingham / GMP-ECM for P32 x P215 /
January 2, 2021 2021 年 1 月 2 日)
53×10254+19 = 5
(8
)2539
<255> = 17 × 19 × 23
2 × 517782943 × 2056258837
<10> ×
[3237051764921822830554613982596230943851212664689776409045845109552634931009592985501028384476681977837522391411425691048910717438036292924602132342303770347966491387174226485480087131737410956593219994380262460603369997666037729737<232>]
Free to factor
53×10255+19 = 5
(8
)2549
<256> = 3 × 13 × 17107 × 7540448277623
<13> ×
1170570924067698258018973008987428043746423269627582729626564957918190824693908281026012104983164866960837357978585960617191282826052061389114015735547736638081308947596446390109196516657951037493275880381481429136644093211675957771941091<238>
53×10256+19 = 5
(8
)2559
<257> = 415979 ×
[141566975469648441120558703417453498587401981563706073837594899956221080604763434906302695301659191663254368342846366977392822447500688469583533997843374037845393370552092506806566891330785661989881433651431656138624519239886842578324600253591861341291<252>]
Free to factor
53×10257+19 = 5
(8
)2569
<258> = 7 × 31 × 349 × 242551 × 1955203 × 2836356869
<10> × 66971253687364919
<17> ×
86318517603499762839567167773617734441580133604352166315535923790725212035266155535795698705485172599759175540756791697704378140830794111723596251353243582226140991090773666474433755492814237202415498756071009406251<215>
53×10258+19 = 5
(8
)2579
<259> = 3
2 × 24251 × 11334727 × 337768891 × 10417019747715127832083949
<26> ×
[676529905812707774075775758260583627635809534374977733717801363915136985658592757189945864274820894059574197948440207343157025948388651488286401185352318954877492910478892314793880871125791730558738228321276410747<213>]
Free to factor
53×10259+19 = 5
(8
)2589
<260> = 281 × 345945353305905307508552159688978917
<36> ×
[605786427254808391327064650454118756526355247992536869952237699969878066739784481881654325608704361321333026839518610635731760117014915498376640230102770702305456544426482296547681681433672693651286557614513370661350658957<222>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:320464187 for P36 /
May 23, 2021 2021 年 5 月 23 日)
Free to factor
53×10260+19 = 5
(8
)2599
<261> = 83 × 1451 × 8761 × 17911 × 65777 × 4207369024889
<13> × 650129189957393
<15> × 115196626724334307
<18> ×
[1503454350585992294887914758394329646599275412423572225703273983363065307684653552675402945118305897430746597284889703708513482555846813154683497496084105701861300137578879080995881089155693046463941<199>]
Free to factor
53×10261+19 = 5
(8
)2609
<262> = 3 × 13
2 × 4626306193
<10> × 33865540576501
<14> × 44694737643496925314621097
<26> ×
[1658733526874125856200419902552785329387300979772966520877737444703796191154562226502743718135201435511056861618354281528932325931653500371471363302796149655251206223475455860084787546180805890260396661063956487<211>]
Free to factor
53×10262+19 = 5
(8
)2619
<263> = 29 × 2437 × 125219 × 574547 × 131018288044460792237
<21> × 124340617040786419450601872631
<30> ×
[710950071028204768113344691356019043279894571265736559317922841322517532383772527797559236402133384274035533572428426543283974455534212611697742266952945775509610690659143872717093104552984531551283<198>] (Jason Parker-Burlingham / GMP-ECM for P30 /
January 2, 2021 2021 年 1 月 2 日)
Free to factor
53×10263+19 = 5
(8
)2629
<264> = 7 × 7547 × 1349839917468971
<16> ×
[8258072725350613632840701337027361606617437568839084100216227911133542035913217273988708462819899013331137787149211392022085240269461534310897441760691217547979690705028539715941583520844280108583347003732383185850985185248260553570730185439271<244>]
Free to factor
53×10264+19 = 5
(8
)2639
<265> = 3 × 44075295082972913
<17> × 136258642576618772759152014327792546970477
<42> × 20123751805645470031755720237498213708600032491
<47> ×
[16242163066973938348314522365853592064543373203583163058649649983431663994491611850229203279536760970963304963844775863833788473397635738644785028342185396810893<161>] (Ignacio Santos / GMP-ECM B1=3000000 for P47 /
June 18, 2024 2024 年 6 月 18 日) (Ignacio Santos / GMP-ECM B1=3000000 for P42 /
June 23, 2024 2024 年 6 月 23 日)
Free to factor
53×10265+19 = 5
(8
)2649
<266> = 36651401 × 3302128561690990670182616742883
<31> ×
[486573891954812837762227855484263633114278022299150255483960729850365055694523120897540295870328819618169066511664788233441041093999003573102797621683537724300189954124633136350749868715438872454207700051400162414485012953125083<228>] (Jason Parker-Burlingham / GMP-ECM for P31 /
January 2, 2021 2021 年 1 月 2 日)
Free to factor
53×10266+19 = 5
(8
)2659
<267> = 5449 × 5737 × 6997 × 11329 × 124483378807823054942783874778717
<33> × 63474944698037440984716469906053292926531674227
<47> ×
30075617495432058188326318723589420858916603700285473074308665892026793071945325390493716586997903880372495483702639803091405817753694142248550436990155866322350810574566259<173> (Jason Parker-Burlingham / GMP-ECM for P33 /
January 2, 2021 2021 年 1 月 2 日) (Seth Troisi / GMP-ECM 7.0.6, ecm-db 0.1 B1=10000000000 for P47 x P173 /
January 2, 2024 2024 年 1 月 2 日)
53×10267+19 = 5
(8
)2669
<268> = 3
2 × 13 × 2212127 × 738138773989697189178742228763
<30> ×
30824740043257309980242365886100017476300415705161520039968808172071796966555657915762855565785369146910833383906085273035634029100773332807613381216229877175710350165652039852822433444511179546205336315051847831482596249173754417<230> (Jason Parker-Burlingham / GMP-ECM for P30 x P230 /
January 2, 2021 2021 年 1 月 2 日)
53×10268+19 = 5
(8
)2679
<269> = 71 × 2011 ×
[412442053836917299142665262807298512329293735783394771635503945825347132243708118649462385673786350346957150383376561929730768721951022117010588866087847044697045747605696058221254150684537080486121324888387732883849313906534405060119265790888765934465292222977069<264>]
Free to factor
53×10269+19 = 5
(8
)2689
<270> = 7
2 × 278743 ×
[43115488423275780908336447207122242651642236820801202430773141325257688461684359595441026826107092056115247472775477322420461543493973264150708709213958032506198481923176611217464005054827322753589704047396514753798806031251586578792745661253826225041389445261727<263>]
Free to factor
53×10270+19 = 5
(8
)2699
<271> = 3 × 17 × 229 × 354043 ×
[1424202322376683217138321008709262344811057320599012285490968187416903264568287492838042907245028417259823212906365075338552294098405789859059173510310778326579121401892871239418829022686956734666841156603108258371624436300959290018425922002584424552309106864837<262>]
Free to factor
53×10271+19 = 5
(8
)2709
<272> = 200467 × 793143740105009687
<18> × 123740417855490802977133
<24> ×
[2993139717328110480507259155002981598503414024467564534418912452511569074298453049802181801851960737457334792731179161002438629220292627912010249770765982869641242379831367925817670012824008413583669035250333107642260603134377<226>]
Free to factor
53×10272+19 = 5
(8
)2719
<273> = 19 × 31 × 461 × 38103914042447842751801804107287729073
<38> ×
56917727381704430669006575186980735180130497548252749446512056916288993327895556806081523913203744304525811432916613001343150908089886093795714856375899492581179692961225094138635143618257507040073735195723484461452322267132453217<230> (Jason Parker-Burlingham / GMP-ECM for P38 x P230 /
January 2, 2021 2021 年 1 月 2 日)
53×10273+19 = 5
(8
)2729
<274> = 3 × 13 × 2125463 × 790798848301961
<15> × 100814858233034342462442139751
<30> ×
[891096282884795913951543012753747772474141186545693554058749650782462284732871314054790752919882379470682734684929108776909775872949057517754045019229171530586412926596655163570979865885739192316611481079704318021147677607<222>] (Jason Parker-Burlingham / GMP-ECM for P30 /
January 2, 2021 2021 年 1 月 2 日)
Free to factor
53×10274+19 = 5
(8
)2739
<275> = 4657 ×
12645241333237897549686254861260229523059671223725335814663708157373607234032400448548183141268818743587908286211915157588337747238327010712666714384558490205902703218571803497721470665426001479254646529716317133109059241762698923961539379190227375754539164459714169827977<272>
53×10275+19 = 5
(8
)2749
<276> = 7 ×
[84126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<275>]
Free to factor
53×10276+19 = 5
(8
)2759
<277> = 3
5 × 23 × 57877087508372338869394128498945619
<35> ×
[18205079597313501791138758981998579477239027106959543886331008368772721010634512407849754657642474140054683265860663752690602223023363291069702011787188974450816538548913198650799186866760055952766605440014094792848813875523812118342548279<239>] (Jason Parker-Burlingham / GMP-ECM for P35 /
January 2, 2021 2021 年 1 月 2 日)
Free to factor
53×10277+19 = 5
(8
)2769
<278> = 7673 × 97381 × 13001239 × 1627579660174097387237
<22> × 226656528137199658686875875831
<30> ×
[16432313204919272561743688169020293351539424978564850588827389443656647040396921954689197210256547600000004630219421038202793960571932567686437862757570029550303437278166869549451320979195349093520742562982110841<212>] (Jason Parker-Burlingham / GMP-ECM for P30 /
January 2, 2021 2021 年 1 月 2 日)
Free to factor
53×10278+19 = 5
(8
)2779
<279> = 9283 × 826667 × 730518766146049
<15> ×
105046849432624520900940330338285387651517266557914988114750099067341320082342159725351091763190028546015027750537071795377793920565869923024626612834662335797185786093044840094142658111934547574344848353003350963905458304974160540387353161993262774161401<255>
53×10279+19 = 5
(8
)2789
<280> = 3 × 13 × 61 × 67 × 480749 ×
76850328081055485430455510111558685990699068522375742117857650028350695829204660799528958020998856167731025783437752495925756247057051368471542237249991895140737117048830869677983589083089999856133039318831378625066830571974553366003800009533487069325276295973506445277<269>
53×10280+19 = 5
(8
)2799
<281> = 1803742783793
<13> × 56771135713399
<14> × 698002974190057
<15> ×
[823898852431931036039849810890550381188470916805312239855516152657609520405844835163939536581983210051744422771005311974942482479504632911220769078239330453792169889647283155797754312140421632225169867462655144047376564807828312419921190311<240>]
Free to factor
53×10281+19 = 5
(8
)2809
<282> = 7 × 89 × 109 × 4013 × 20027366209
<11> × 954851026197487
<15> ×
[113003058342810431614799828613416949171847299324704010217049997048525148666082828545067574525682038682414101958799140944289858765026438847234226162252096256685006898628013351160447575906573198838785677292522497220250688304952040041493406783692728113<249>]
Free to factor
53×10282+19 = 5
(8
)2819
<283> = 3 ×
[1962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<283>]
Free to factor
53×10283+19 = 5
(8
)2829
<284> = 1511 × 825005483485254544397
<21> ×
47240236229451243739648512643192279775687750124297080611264497779352132153898683159439367844831874325308067583226422906177711690083533663626404337569630251042803978025854561865656125652896373364978207152118374427265488280149540933984918120962365981477452269467<260>
53×10284+19 = 5
(8
)2839
<285> = 317 × 369780429911
<12> × 110996031940637
<15> ×
45260851660017886750560449785924933008835834788632955605361002717422428398096463603012921565041715354799597611772755439454020320676586260520529205925078745984018680860061861188195062739959317992359079355555262752295349754988297790637363353080680372931819031<257>
53×10285+19 = 5
(8
)2849
<286> = 3
2 × 13 × 122775081061
<12> × 2536705975775404515103890721
<28> ×
161609593132402224112140925584351145199454202918773368579337932256782723303290914988255257902116869882645516405874936969543000449020597048346794624238615648212627832400164505058656256768433462424851983741335422425637084624655874367328614495327857<246>
53×10286+19 = 5
(8
)2859
<287> = 17 × 24917 × 2648959 × 7080117722303
<13> × 128973706658887847
<18> ×
57474048460363349902603396421253656361547287747434648953256946504156119778179134774273195305774012192206327991413962925555630352485699295204967202694741831464872459813963187662903511363626449573419929266468516783185857057104148142099933479440179<245>
53×10287+19 = 5
(8
)2869
<288> = 7 × 31 × 281 × 31481 × 25477391 × 231066030996557
<15> × 350308443838487
<15> ×
[148756901789850693995901214588503488524066214954573917775148256128663699087349601563481573904440859183275075012170623239671428421345295966090786412168893301943233959357359760604833370316709418086988582874225443429698065169162795311366946952413<243>]
Free to factor
53×10288+19 = 5
(8
)2879
<289> = 3 × 9433 × 3755879434380564061
<19> × 119170214227771374803
<21> ×
[464925009049186467875590449337675039242048588369941146389835223954004176878134463263976434580796107737043121334522158473698411807170554687101642993713090765462761024031220243701999340348171596108656462433499536334613531083808863482574437025881917<246>]
Free to factor
53×10289+19 = 5
(8
)2889
<290> = 343307 × 2558333666369098763
<19> × 6378512289787336867588722331
<28> ×
10511728101560519796574560081924736207388840680403123537140042599247502119864492069314581668273273447274192017631772913215689306434281559812050564276809920570516213722672704681480724443006627329213155550111134497929486865587439167393365459<239>
53×10290+19 = 5
(8
)2899
<291> = 19 × 29 × 25855805833122110654726541053
<29> ×
41335546475719331338014957135386458933400710671666476685654824136306350527586956445432601420715411083998933080173642024435149311134839129861660915689353753749720061816088958282883372558146686547870392649085469645581409187223581250033647092889966263267017858763<260>
53×10291+19 = 5
(8
)2909
<292> = 3 × 13 × 59 × 279221053 ×
[9165762102166499889696266708906358568218389441608534084513886893325108780146872025608423840289306247999677532389325241717041358334093022751865222967761505054150402743907648692089395371324037233415115874624532405203382116928041600302819900464796058670243255785684148809093973318513<280>]
Free to factor
53×10292+19 = 5
(8
)2919
<293> = 210323 × 385739 ×
[725860296988151218007664212999890957775209275730073426980911686688394609253149934339691068249550406401952974861619750792873716749074853494723583854113734564920701157787642325025104385480620997210063458859179471292814839623038874288999312489919615382367249366104135650335787790839337<282>]
Free to factor
53×10293+19 = 5
(8
)2929
<294> = 7 × 4460161 × 77525051459
<11> × 139046162287
<12> × 67839875970231142562227
<23> ×
[25792810603724296422059006924108754636663296918780447121990797038795092423253286092119353621576324011768227692511070935713211684393860276438032738955807692647874214129804739629665526786645919073875533615932894415168785813877956390346489853977<242>]
Free to factor
53×10294+19 = 5
(8
)2939
<295> = 3
2 × 191 × 268607 × 329317 ×
[38728083560668797248064427396498929228188611739552934181384020647899193294954884671295573889685616550913411719259677541130339883752419761061920206355993132585778122932942826170422331551834101202657433141053223819715870499678685804977532011739384305495042364177391664469775266349149<281>]
Free to factor
53×10295+19 = 5
(8
)2949
<296> = 479 × 1583 × 5923323656493133075741
<22> × 175479640075457678178972877022933814380651
<42> ×
[74717913093429802642638022778834446354875850733237602664989588346409949711825791995291906087771741059652871588389534993066679088912899537973498010503588515778127423668263591037382119919185511351002462023031710027151838756321047<227>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3296995587 for P42 /
May 23, 2021 2021 年 5 月 23 日)
Free to factor
53×10296+19 = 5
(8
)2959
<297> = 739 × 32889487 × 609856603 × 118753656230997587
<18> × 11486882823130243780513
<23> × 595450946170125877114253
<24> × 2693928450771333040031828550573826365271
<40> ×
[18156112482536359075697533972460574793994744061358242218580160425238190475734390071165888953597754564495257714795228210420658118025218458992699993566142184712504561153136129847<176>] (Ignacio Santos / GMP-ECM B1=3000000 for P40 /
June 19, 2024 2024 年 6 月 19 日)
Free to factor
53×10297+19 = 5
(8
)2969
<298> = 3 × 13 × 47 × 36571 × 64217 × 566201597018712770009
<21> × 11640970205548067473091253731440254397
<38> ×
[207550497490103290316935122224292436630064452354834000287380609678076971020277250284017954746785321285870320333496787978227323549007038945726641996322506162520295489433320301471912273128753520796734813230906814714273904162518703<228>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:986772964 for P38 /
May 23, 2021 2021 年 5 月 23 日)
Free to factor
53×10298+19 = 5
(8
)2979
<299> = 23 × 51197 × 2774353 × 2492960222239
<13> × 18170763475181755000397
<23> × 372934301964355627207306789979
<30> × 794526940050158287364038877130737
<33> × 183168187264628419442524401781592645463452389469
<48> ×
7331954517968522169505853186450336100108068593601652483524007970963048479062356362609394131238570191552990056832503967133180072751510355325463<142> (Jason Parker-Burlingham / GMP-ECM for P30 x P33 /
January 2, 2021 2021 年 1 月 2 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:276505730 for P48 x P142 /
April 3, 2021 2021 年 4 月 3 日)
53×10299+19 = 5
(8
)2989
<300> = 7 × 2333 × 145601 × 227207 × 9918427361
<10> × 22473508763
<11> × 572587679764578435591919
<24> × 226551604507667921259609080147
<30> ×
37697423975526923725298432199261133208202262547760633051731259437807868819942664691182703327902021743384371048977194045027126973178030605290463773551993613076198977486141601282652419646679522340942672900956550483<212> (Jason Parker-Burlingham / GMP-ECM for P30 x P212 /
January 2, 2021 2021 年 1 月 2 日)
53×10300+19 = 5
(8
)2999
<301> = 3 × 16860456895027
<14> × 79684398687264389094413238783481626040801343
<44> ×
1461064761786459532337690295735488191561383203776355287641567323682964093953928625037622505700750712383776641918121248224843651352907395227986583575193688637330485011312667918640924599652380308591434062939041691194654954082385585780957498820383<244> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1:2386466431 for P44 x P244 /
May 3, 2021 2021 年 5 月 3 日)