89w2 = { 82, 892, 8992, 89992, 899992, 8999992, 89999992, 899999992, 8999999992, 89999999992, … }
9×105-8 = 899992 = 2
3 × 19 × 31 × 191
9×106-8 = 8999992 = 2
3 × 23 × 41 × 1193
9×107-8 = 89999992 = 2
3 × 29 × 109 × 3559
9×108-8 = 899999992 = 2
3 × 17 × 47 × 103 × 1367
9×109-8 = 8999999992
<10> = 2
3 × 1124999999
<10>
9×1010-8 = 89999999992
<11> = 2
3 × 7 × 1607142857
<10>
9×1011-8 = 899999999992
<12> = 2
3 × 41 × 59 × 509 × 91369
9×1012-8 = 8999999999992
<13> = 2
3 × 1124999999999
<13>
9×1013-8 = 89999999999992
<14> = 2
3 × 46021 × 244453619
9×1014-8 = 899999999999992
<15> = 2
3 × 112499999999999
<15>
9×1015-8 = 8999999999999992
<16> = 2
3 × 1124999999999999
<16>
9×1016-8 = 89999999999999992
<17> = 2
3 × 7 × 41 × 108793 × 360304489
9×1017-8 = 899999999999999992
<18> = 2
3 × 6691 × 16813630249589
<14>
9×1018-8 = 8999999999999999992
<19> = 2
3 × 1124999999999999999
<19>
9×1019-8 = 89999999999999999992
<20> = 2
3 × 9439 × 1191863544867041
<16>
9×1020-8 = 899999999999999999992
<21> = 2
3 × 31 × 3629032258064516129
<19>
9×1021-8 = 8999999999999999999992
<22> = 2
3 × 41 × 89 × 29599 × 10416015569249
<14>
9×1022-8 = 89999999999999999999992
<23> = 2
3 × 7
2 × 229591836734693877551
<21>
9×1023-8 = 899999999999999999999992
<24> = 2
3 × 19 × 1129 × 19991 × 262343591887339
<15>
9×1024-8 = 8999999999999999999999992
<25> = 2
3 × 17 × 5009 × 560447 × 23573171760289
<14>
9×1025-8 = 89999999999999999999999992
<26> = 2
3 × 11249999999999999999999999
<26>
9×1026-8 = 899999999999999999999999992
<27> = 2
3 × 41 × 2743902439024390243902439
<25>
9×1027-8 = 8999999999999999999999999992
<28> = 2
3 × 16481 × 499881649 × 136553164589071
<15>
9×1028-8 = 89999999999999999999999999992
<29> = 2
3 × 7 × 23
2 × 1657077918337
<13> × 1833394314809
<13>
9×1029-8 = 899999999999999999999999999992
<30> = 2
3 × 9661681 × 11643936495108873911279
<23>
9×1030-8 = 8999999999999999999999999999992
<31> = 2
3 × 13230293909233
<14> × 85032124586053103
<17>
9×1031-8 = 89999999999999999999999999999992
<32> = 2
3 × 41 × 281 × 410491 × 74918369 × 31751949274861
<14>
9×1032-8 = 899999999999999999999999999999992
<33> = 2
3 × 857 × 5897 × 3969809 × 102763681 × 54567154639
<11>
9×1033-8 = 8999999999999999999999999999999992
<34> = 2
3 × 2389 × 1872575189
<10> × 251476326617677664119
<21>
9×1034-8 = 89999999999999999999999999999999992
<35> = 2
3 × 7 × 71 × 504929 × 4486943 × 126826303 × 78778178287
<11>
9×1035-8 = 899999999999999999999999999999999992
<36> = 2
3 × 29 × 31 × 2375386121
<10> × 172146414241
<12> × 306027627341
<12>
9×1036-8 = 8999999999999999999999999999999999992
<37> = 2
3 × 41 × 367 × 8191 × 59281 × 153974979335937141035527
<24>
9×1037-8 = 89999999999999999999999999999999999992
<38> = 2
3 × 199 × 4639 × 55109 × 3029278436999
<13> × 72998401405949
<14>
9×1038-8 = 899999999999999999999999999999999999992
<39> = 2
3 × 112499999999999999999999999999999999999
<39>
9×1039-8 = 8999999999999999999999999999999999999992
<40> = 2
3 × 151 × 619 × 7591 × 1061779 × 52397321 × 28499859594875959
<17>
9×1040-8 = 89999999999999999999999999999999999999992
<41> = 2
3 × 7 × 17 × 36529 × 1231982137
<10> × 7148156761
<10> × 293879504358457
<15>
9×1041-8 = 899999999999999999999999999999999999999992
<42> = 2
3 × 19 × 41 × 205660864621
<12> × 702204175352098916163933361
<27>
9×1042-8 = 8999999999999999999999999999999999999999992
<43> = 2
3 × 103 × 193 × 149533930297
<12> × 378458479693072758461261873
<27>
9×1043-8 = 89999999999999999999999999999999999999999992
<44> = 2
3 × 362908631 × 168040403027468999
<18> × 184476695632330271
<18>
9×1044-8 = 899999999999999999999999999999999999999999992
<45> = 2
3 × 7545367 × 18385529 × 111660133759
<12> × 7262696237845658527
<19>
9×1045-8 = 8999999999999999999999999999999999999999999992
<46> = 2
3 × 1124999999999999999999999999999999999999999999
<46>
9×1046-8 = 89999999999999999999999999999999999999999999992
<47> = 2
3 × 7 × 41 × 20849 × 77689 × 330472433 × 388146463 × 188666587507549783
<18>
9×1047-8 = 899999999999999999999999999999999999999999999992
<48> = 2
3 × 14939 × 1269933879256849
<16> × 5929934355481565432940534109
<28>
9×1048-8 = 8999999999999999999999999999999999999999999999992
<49> = 2
3 × 383 × 1675351 × 1753266518252837716795476456433548604903
<40>
9×1049-8 = 89999999999999999999999999999999999999999999999992
<50> = 2
3 × 491 × 723004262509
<12> × 31690578898861425833758895832226321
<35>
9×1050-8 = 899999999999999999999999999999999999999999999999992
<51> = 2
3 × 23 × 31 × 715457 × 41257159748432652191
<20> × 5345399008358198032729
<22>
9×1051-8 = 8
(9
)502
<52> = 2
3 × 41 × 7121 × 15149 × 254357011883000461937882328277975814482291
<42>
9×1052-8 = 8
(9
)512
<53> = 2
3 × 7 × 1714948649
<10> × 361545688290423601361
<21> × 2592030905290777624913
<22>
9×1053-8 = 8
(9
)522
<54> = 2
3 × 389 × 289203084832904884318766066838046272493573264781491
<51>
9×1054-8 = 8
(9
)532
<55> = 2
3 × 47 × 52661284447
<11> × 454530694876158675454354335724162826560111
<42>
9×1055-8 = 8
(9
)542
<56> = 2
3 × 541 × 1039 × 6857959 × 120994550821
<12> × 24120094988200717554180365619959
<32>
9×1056-8 = 8
(9
)552
<57> = 2
3 × 17 × 41 × 91915010479
<11> × 1756035548316026994403679973079656369286073
<43>
9×1057-8 = 8
(9
)562
<58> = 2
3 × 61 × 405954035754542231699
<21> × 45430322958954145778824350526887241
<35>
9×1058-8 = 8
(9
)572
<59> = 2
3 × 7 × 23270249575064839
<17> × 7603049993122374041
<19> × 9083758825002808686343
<22>
9×1059-8 = 8
(9
)582
<60> = 2
3 × 19
2 × 281 × 1901 × 123209 × 1187159 × 194277059 × 50882128576549
<14> × 403476988127664859
<18>
9×1060-8 = 8
(9
)592
<61> = 2
3 × 687383 × 1636642163102666199193171783416232289713303936815428953
<55>
9×1061-8 = 8
(9
)602
<62> = 2
3 × 41 × 46811 × 5861661658636624391494390259533536780754575613090731749
<55>
9×1062-8 = 8
(9
)612
<63> = 2
3 × 97 × 119321 × 2366827889
<10> × 4106740164658973189058208702372289524911490343
<46>
9×1063-8 = 8
(9
)622
<64> = 2
3 × 29 × 44281 × 170809 × 315105781 × 850966031 × 19127480122631987709589946582407649
<35>
9×1064-8 = 8
(9
)632
<65> = 2
3 × 7
2 × 24943 × 9204660094402993928197105727589516342158079605173264430657
<58>
9×1065-8 = 8
(9
)642
<66> = 2
3 × 31 × 89 × 17581 × 83311 × 313507819 × 1007342862243251343941
<22> × 88151399248221632560949
<23>
9×1066-8 = 8
(9
)652
<67> = 2
3 × 41 × 257 × 3529 × 8999 × 44449 × 16098809 × 473116333607
<12> × 9930381834557036171206030322551
<31>
9×1067-8 = 8
(9
)662
<68> = 2
3 × 1458766324591
<13> × 8604599006130320319644449
<25> × 896264422461899335201091290961
<30>
9×1068-8 = 8
(9
)672
<69> = 2
3 × 112499999999999999999999999999999999999999999999999999999999999999999
<69>
9×1069-8 = 8
(9
)682
<70> = 2
3 × 59 × 71 × 7948769 × 33786428519458801920755434067237545686294327035562047781739
<59>
9×1070-8 = 8
(9
)692
<71> = 2
3 × 7 × 25766701601
<11> × 4684313231791
<13> × 13315262313118378365066475241382861533046556327
<47>
9×1071-8 = 8
(9
)702
<72> = 2
3 × 41 × 70039 × 1190701 × 39548783389
<11> × 2318312248378199
<16> × 358856612145462646945094024672591
<33>
9×1072-8 = 8
(9
)712
<73> = 2
3 × 17 × 23 × 7308701833
<10> × 242376875674908242770033914497
<30> × 1624218068252089474466622660289
<31> (Eric Jeancolas / ECM for P30 x P31 /
December 19, 2022 2022 年 12 月 19 日)
9×1073-8 = 8
(9
)722
<74> = 2
3 × 1281639658910729
<16> × 8777818259432938329382516273712084474650726685367454770631
<58>
9×1074-8 = 8
(9
)732
<75> = 2
3 × 913247 × 3112667525153207440592177
<25> × 39575966847897863070370627515800617546915121
<44>
9×1075-8 = 8
(9
)742
<76> = 2
3 × 10639 × 721951459871
<12> × 36625823690761
<14> × 507833736749602811
<18> × 7874713557917662856593345301
<28>
9×1076-8 = 8
(9
)752
<77> = 2
3 × 7 × 41 × 103 × 7590871 × 109671387533602929776561231
<27> × 457139187307841713293506797333237862159
<39>
9×1077-8 = 8
(9
)762
<78> = 2
3 × 19 × 11131 × 531942559660313302346694154305897706263682744729040281054806632969090591
<72>
9×1078-8 = 8
(9
)772
<79> = 2
3 × 44617 × 1715537 × 560522279 × 26221600036852677604351268204890399053155388755453072340689
<59>
9×1079-8 = 8
(9
)782
<80> = 2
3 × 696851 × 31527300312901627070674291
<26> × 512065847381319568225635154000064594840449972039
<48>
9×1080-8 = 8
(9
)792
<81> = 2
3 × 31 × 2584559 × 342053172057105511
<18> × 10492459408064182109993351
<26> × 391231178624435176931972868671
<30>
9×1081-8 = 8
(9
)802
<82> = 2
3 × 41 × 59174251 × 463698719063531576242923467572110697681500757862385522889743081649219189
<72>
9×1082-8 = 8
(9
)812
<83> = 2
3 × 7 × 77543 × 28321185527160213607
<20> × 731813563297596897035272844896117469160066475432059709657
<57>
9×1083-8 = 8
(9
)822
<84> = 2
3 × 181 × 36931 × 25205154357495269
<17> × 667718668570008121349899659345927199317067750704756665946061
<60>
9×1084-8 = 8
(9
)832
<85> = 2
3 × 27631 × 45863 × 52711 × 8173425225290523538097255009
<28> × 2060573502580047293089419880285335548850017
<43>
9×1085-8 = 8
(9
)842
<86> = 2
3 × 2166691 × 236663867647306349772356251
<27> × 21939341357722550934709496181640548365082235236465839
<53>
9×1086-8 = 8
(9
)852
<87> = 2
3 × 41 × 313 × 1091164463
<10> × 4265830441
<10> × 133894429897
<12> × 7143222943223
<13> × 21679762194616162823
<20> × 90827904839483162657
<20>
9×1087-8 = 8
(9
)862
<88> = 2
3 × 281 × 7244755471
<10> × 341896031219
<12> × 1403429491323061
<16> × 1151695879723970835983654365456100208862088261111
<49>
9×1088-8 = 8
(9
)872
<89> = 2
3 × 7 × 17 × 503 × 5791 × 1306529130257306056391854230143114863
<37> × 24840762002443015618809968749944791899078079
<44> (Eric Jeancolas / ECM for P37 x P44 /
December 19, 2022 2022 年 12 月 19 日)
9×1089-8 = 8
(9
)882
<90> = 2
3 × 229 × 2356365534631
<13> × 14479791174092611
<17> × 14398328559962750389765086364189670831479758551724663373991
<59>
9×1090-8 = 8
(9
)892
<91> = 2
3 × 25241535462072724033
<20> × 44569396409754699642396378941065755579699505244624804950802173692746303
<71>
9×1091-8 = 8
(9
)902
<92> = 2
3 × 29 × 41 × 9461732548359966358284272497897392767031118587047939444911690496215306980656013456686291
<88>
9×1092-8 = 8
(9
)912
<93> = 2
3 × 2014113027958825146832716888543117241044314423
<46> × 55855852396730466171717159165927097782895387513
<47> (Eric Jeancolas / Msieve v. 1.53 for P46 x P47 /
December 19, 2022 2022 年 12 月 19 日)
9×1093-8 = 8
(9
)922
<94> = 2
3 × 352021 × 24457016939
<11> × 396875983196213657930361163888181
<33> × 329249896603786545656120004878744824897748741
<45> (Eric Jeancolas / ECM for P33 x P45 /
December 19, 2022 2022 年 12 月 19 日)
9×1094-8 = 8
(9
)932
<95> = 2
3 × 7 × 23 × 1249 × 150360449 × 372075088841669933195667217162078310765371259250041645483645042744470967219823359
<81>
9×1095-8 = 8
(9
)942
<96> = 2
3 × 19 × 31 × 18439 × 2188481 × 3506909255280912103741
<22> × 677708925430749962042219
<24> × 1991541447494737090278438403713704531
<37>
9×1096-8 = 8
(9
)952
<97> = 2
3 × 41 × 255383 × 2587049 × 27582097 × 37694164553
<11> × 39945754010575145534807144319333673262007601254393316905169031537
<65>
9×1097-8 = 8
(9
)962
<98> = 2
3 × 11249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
<98>
9×1098-8 = 8
(9
)972
<99> = 2
3 × 10778791 × 1088367398359742399
<19> × 9589742530594735629004617274118812672892397776796726113866897950582202711
<73>
9×1099-8 = 8
(9
)982
<100> = 2
3 × 499 × 809 × 37252051 × 3245796871
<10> × 763076509963831261980994673169799
<33> × 30203957074042905895518516489916447384272991
<44> (Eric Jeancolas / ECM for P33 x P44 /
December 19, 2022 2022 年 12 月 19 日)
9×10100-8 = 8
(9
)992
<101> = 2
3 × 7 × 47 × 191 × 25583 × 2450951 × 7546151 × 206542531639
<12> × 78879295570721
<14> × 23224113583909965034571958897227199252742839621866033
<53>
9×10101-8 = 8
(9
)1002
<102> = 2
3 × 41 × 31196929 × 87954248285925523114869384239398817186109068307457520547115078022661750596997669303892841191
<92>
9×10102-8 = 8
(9
)1012
<103> = 2
3 × 21799 × 10412514539609744864122352138217037282078969
<44> × 4956331318857831096200682980811457004089077414360249329
<55> (Eric Jeancolas / Msieve v. 1.53 for P44 x P55 /
December 19, 2022 2022 年 12 月 19 日)
9×10103-8 = 8
(9
)1022
<104> = 2
3 × 16411 × 49121 × 50734463665162125592104679
<26> × 275072518517499845394488296279170555114895914895907383396595681663851
<69>
9×10104-8 = 8
(9
)1032
<105> = 2
3 × 17 × 71 ×
93206296603148301574150787075393537696768848384424192212096106048053024026512013256006628003314001657<101>
9×10105-8 = 8
(9
)1042
<106> = 2
3 × 431 × 18090646653396607729
<20> × 520133117649804653193056250136058445451
<39> × 277400126244482507039853713753606792673713251
<45> (Eric Jeancolas / Dario Alpern's calculator for P39 x P45 /
December 19, 2022 2022 年 12 月 19 日)
9×10106-8 = 8
(9
)1052
<107> = 2
3 × 7
2 × 41
2 × 2207 × 54507206818199633624338367
<26> × 1135357069002316626886835004978409085187204803623805539772344472260932959
<73>
9×10107-8 = 8
(9
)1062
<108> = 2
3 × 1051 ×
107040913415794481446241674595623215984776403425309229305423406279733587059942911512844909609895337773549<105>
9×10108-8 = 8
(9
)1072
<109> = 2
3 × 977 × 1361 × 286726379401559
<15> × 6293220982977520721
<19> × 468877292688963713215857643534624407488345632579233706924502985098153
<69>
9×10109-8 = 8
(9
)1082
<110> = 2
3 × 89 × 306359 × 495440022919
<12> × 3171895394980038130348457251
<28> × 262555988934330351725704117807594040970981303179238963094202621
<63>
9×10110-8 = 8
(9
)1092
<111> = 2
3 × 31 × 103 × 113 × 2657 × 39855580391999
<14> × 2944384129250727110069845154891006806950576735780156347355463647234016240111165812891577
<88>
9×10111-8 = 8
(9
)1102
<112> = 2
3 × 41 × 1109 × 7989649 × 8247055756711
<13> × 16403857402328239
<17> × 22890986176795077170890765297475076852733382393440151076165288223372451
<71>
9×10112-8 = 8
(9
)1112
<113> = 2
3 × 7 × 2711 ×
592822890867892712230594930705590978552985192601570321968698951362175264794224587658744796332402381830637087<108>
9×10113-8 = 8
(9
)1122
<114> = 2
3 × 19 × 791321925240991
<15> × 7482482720007709094176399585117375151717212026434708889126919744678326525871601553037500178644731
<97>
9×10114-8 = 8
(9
)1132
<115> = 2
3 × 151 × 68323635856314184487071986086392049652235439
<44> × 109044710991317745380170619820817049191422994874837188929918484614391
<69> (Dmitry Domanov / Msieve 1.54 snfs for P44 x P69 /
December 23, 2022 2022 年 12 月 23 日)
9×10115-8 = 8
(9
)1142
<116> = 2
3 × 109 × 179 × 281 × 537945970291
<12> × 3814415645152618761680655133811035140251445106268878118446499810869798013488636652182688401295579
<97>
9×10116-8 = 8
(9
)1152
<117> = 2
3 × 23 × 41 × 1830074033729327
<16> × 33795101100873157937748949353624311821520831
<44> × 1928938674793743762646628731642740545846188675422313889
<55> (Eric Jeancolas / Msieve v. 1.53 for P44 x P55 /
December 19, 2022 2022 年 12 月 19 日)
9×10117-8 = 8
(9
)1162
<118> = 2
3 × 61 × 479 × 24892429 × 37150921 × 950514431 × 882502293564833045068177787244051442378129
<42> × 49633597513102349284111513853841555953758423631
<47> (Eric Jeancolas / ECM for P42 x P47 /
December 19, 2022 2022 年 12 月 19 日)
9×10118-8 = 8
(9
)1172
<119> = 2
3 × 7 × 719 × 18199720329208737920379650115311
<32> × 122817676697370647966538160526013773273074393685595851346976186447871986990420561673
<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1711850253 for P32 x P84 /
December 19, 2022 2022 年 12 月 19 日)
9×10119-8 = 8
(9
)1182
<120> = 2
3 × 29 × 52380631 × 1957074234256874954651451524466241049253263178391
<49> × 37842210695961158208692839389656753183039662938556309297826011
<62> (Dmitry Domanov / Msieve 1.54 snfs for P49 x P62 /
December 24, 2022 2022 年 12 月 24 日)
9×10120-8 = 8
(9
)1192
<121> = 2
3 × 17 × 7639 × 12073 × 6202153397269471
<16> × 47124799485611312119
<20> × 2455047344413891651871296494792961648068299095675162755896023961964640067449
<76>
9×10121-8 = 8
(9
)1202
<122> = 2
3 × 41 × 149 × 41231375149
<11> ×
44663687651340886267208000329087302556573934871979486334209586603779651698911252221304759297026226179391639<107>
9×10122-8 = 8
(9
)1212
<123> = 2
3 × 1297 × 936319 × 422271078431
<12> ×
219380172027662881760633401663732917548039053405022244181721556833576380446798942254310644772741333103<102>
9×10123-8 = 8
(9
)1222
<124> = 2
3 × 2069 ×
543740937651039149347510874818753020782986950217496375060415659739004349927501208313194780086998550024166263895601739971<120>
9×10124-8 = 8
(9
)1232
<125> = 2
3 × 7 × 15043729 × 25329637020232913
<17> ×
4217644926936289531618092885379910004385648009024963038209756915447393124885440877100191329769233641<100>
9×10125-8 = 8
(9
)1242
<126> = 2
3 × 31
2 × 122219 × 161309 × 570901 × 96132541 × 13110293191019750647649764059683661619091
<41> × 8252550302804751344326538142938608466295210441643477491259
<58> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P58 /
December 19, 2022 2022 年 12 月 19 日)
9×10126-8 = 8
(9
)1252
<127> = 2
3 × 41 ×
27439024390243902439024390243902439024390243902439024390243902439024390243902439024390243902439024390243902439024390243902439<125>
9×10127-8 = 8
(9
)1262
<128> = 2
3 × 59 × 131 × 2752447669834171051
<19> × 129599456569404595181
<21> × 1150472312390247736255363392331
<31> × 3546751757325907840311550608611790751707549757684427971
<55> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:156681948 for P31 x P55 /
December 19, 2022 2022 年 12 月 19 日)
9×10128-8 = 8
(9
)1272
<129> = 2
3 × 10163827823
<11> × 3493105655935751
<16> ×
3168717344885404225186942020581060689096384346585632921325254352109592738575024867448793138632721169863<103>
9×10129-8 = 8
(9
)1282
<130> = 2
3 × 101720348948524139
<18> ×
11059733982718731423064679229816736295739934720762349840492943397417825668356168862795921461828752912910411767741<113>
9×10130-8 = 8
(9
)1292
<131> = 2
3 × 7 × 17489 × 35129 × 688557065443591
<15> × 129063419529925367
<18> × 1457550678493029786191
<22> × 20195608681163452639330336883949861144025262066690891381014686238511
<68>
9×10131-8 = 8
(9
)1302
<132> = 2
3 × 19 × 41 × 59281 × 5313800341316447342059681
<25> × 458452464116395076222063469606330598955441938074239833683172408345353134310931523284802339542288621
<99>
9×10132-8 = 8
(9
)1312
<133> = 2
3 × 12679182125783
<14> × 2217786409967207
<16> × 30544239456932686799
<20> × 1309821903352893432680696719045081029866309631110500931893900039568910738174706839121
<85>
9×10133-8 = 8
(9
)1322
<134> = 2
3 × 29985919 × 37700231 × 86918297689
<11> × 13861852086184344704654115241
<29> × 27216962759947776951082521059
<29> × 303472272094430676452202773538849869439775060721501
<51>
9×10134-8 = 8
(9
)1332
<135> = 2
3 × 8737 × 1206721 × 2235067020913
<13> × 171134747225671
<15> × 3827059718420291859037962761
<28> × 7289358817424728999275054036445259873803936587108895610145493603418929
<70>
9×10135-8 = 8
(9
)1342
<136> = 2
3 × 1759 × 3014039491
<10> ×
212196269570198137592902195023238783209267572905051340332233132830455618590850315796773410961795407278896634967190592146571<123>
9×10136-8 = 8
(9
)1352
<137> = 2
3 × 7 × 17 × 41 × 167 × 199 × 823 × 1520632192328014572019963279
<28> × 41777318746243033256727817824143
<32> × 1327050889652919876391764430924745661769006355409434367707081662247
<67> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3390595786 for P32 x P67 /
December 19, 2022 2022 年 12 月 19 日)
9×10137-8 = 8
(9
)1362
<138> = 2
3 × 881 ×
127695800227014755959137343927355278093076049943246311010215664018161180476730987514188422247446083995459704880817253121452894438138479<135>
9×10138-8 = 8
(9
)1372
<139> = 2
3 × 23 × 429911 × 42190903 × 7468591093773337762601307298680931634769277799570369
<52> × 361067688783473183273231191663759098796228231385732632821579717223915369
<72> (Dmitry Domanov / Msieve 1.54 snfs for P52 x P72 /
January 7, 2023 2023 年 1 月 7 日)
9×10139-8 = 8
(9
)1382
<140> = 2
3 × 71 ×
158450704225352112676056338028169014084507042253521126760563380281690140845070422535211267605633802816901408450704225352112676056338028169<138>
9×10140-8 = 8
(9
)1392
<141> = 2
3 × 31 × 23609874191
<11> × 17323092884448657690325390648033
<32> × 207088361454703732665635750564940191889570079
<45> × 42846566923410492439167815396946116686071790597397617
<53> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2326190457 for P32, cado-nfs-3.0.0 for P45 x P53 /
December 19, 2022 2022 年 12 月 19 日)
9×10141-8 = 8
(9
)1402
<142> = 2
3 × 41 × 311 × 8016149 × 4495937388589
<13> ×
2448061033376583828091048151744413944720331391882498076429059508182279051334582003136934075170990814515841192264037409<118>
9×10142-8 = 8
(9
)1412
<143> = 2
3 × 7 × 487 × 311033566340249
<15> ×
10610070292981380147879628117658104286244389312939257102912367518697427596833138368315152175454256242489399930947721117907239<125>
9×10143-8 = 8
(9
)1422
<144> = 2
3 × 281 × 102409 × 35001271 × 2009285734229
<13> ×
55588193577462774898429156731326882995743035684645428470281442536792842078885493329778891069234139261166744997398709<116>
9×10144-8 = 8
(9
)1432
<145> = 2
3 × 103 × 17310024554354956312327
<23> × 20702642568941549207549358420518834145967
<41> × 30478376508352714444875049822987149033951652971820791140382262959779324318765537
<80> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P80 /
January 9, 2023 2023 年 1 月 9 日)
9×10145-8 = 8
(9
)1442
<146> = 2
3 × 2221949 × 622239010721
<12> ×
8136941631232638086129974461986180337967472530750225156343729484710541029150888609851547716773024780198573511481781654868845131<127>
9×10146-8 = 8
(9
)1452
<147> = 2
3 × 41 × 47 × 441995378561287
<15> ×
132084871900692654699526251641202577298918109474089584794417897265631319260861419110036610310012320032740619899396778994941477551<129>
9×10147-8 = 8
(9
)1462
<148> = 2
3 × 29 × 1572229720658033841885835834502598456716963085061
<49> × 24673941052354342877973420920815079236336865850744711206960984639090684989686316941214710531542671
<98> (Bob Backstrom / Msieve 1.54 snfs for P49 x P98 /
December 24, 2022 2022 年 12 月 24 日)
9×10148-8 = 8
(9
)1472
<149> = 2
3 × 7
2 × 359 × 570216112159
<12> × 983059845818475162208304551280473890748819798889
<48> × 1140886790943440076100421112460985181144096720139798169150021658370865558538028485839
<85> (Bob Backstrom / GMP-ECM 7.0.4 B1=29910000, sigma=1:2989857791 for P48 x P85 /
December 29, 2022 2022 年 12 月 29 日)
9×10149-8 = 8
(9
)1482
<150> = 2
3 × 19 × 269 ×
22011348072784190960673058109958912150264136176873410291528076697319506945803169634122480923498336920367834083349638035609469771081980043044414009<146>
9×10150-8 = 8
(9
)1492
<151> = 2
3 × 795155644253938945247
<21> × 1183657393100514027617268470319360422800229301169
<49> × 1195292959292788740420289998074593975807515426797352419445864752612046566947513393
<82> (Bob Backstrom / GMP-ECM 7.0.4 B1=26110000, sigma=1:1928289257 for P49 x P82 /
December 29, 2022 2022 年 12 月 29 日)
9×10151-8 = 8
(9
)1502
<152> = 2
3 × 41 × 250837351 × 171252860747638164821
<21> ×
6387613424992229990060706095128960010702836390988560810618176858344203755268625560343013965378834319684720290668846166909<121>
9×10152-8 = 8
(9
)1512
<153> = 2
3 × 17 × 569 × 10993 ×
1057974272303900918537024900548302454888705855682585298658472635551872154125616755506255312852913767883773748900988081200399991389500055809318391<145>
9×10153-8 = 8
(9
)1522
<154> = 2
3 × 89 × 372557760664589
<15> ×
33928831372760881635694434038017760125003740876819699679420835362188526144349502614203760434821920973024031128978571488193502347992580019<137>
9×10154-8 = 8
(9
)1532
<155> = 2
3 × 7 × 575711 × 635849 × 13811593 × 38624129062132999195609
<23> ×
8229879769119711385298468400447021672740079442324988853769633313278051143158996040028830936640816850700213124799<112>
9×10155-8 = 8
(9
)1542
<156> = 2
3 × 31 × 137714219 × 239791529 × 65122098427757534551
<20> ×
1687523470515306274222942740579859630908365350380733880111516459540750539171794998395468468833382087233419700201582029<118>
9×10156-8 = 8
(9
)1552
<157> = 2
3 × 41 × 28793 × 24928766165791
<14> × 97231203073053913
<17> × 4387606513894315251100831161043598447055476713
<46> × 89608175039666378895781177238889810851539258405723029571530023351954326337
<74> (Bob Backstrom / Msieve 1.44 snfs for P46 x P74 /
February 2, 2023 2023 年 2 月 2 日)
9×10157-8 = 8
(9
)1562
<158> = 2
3 × 661 × 4170609513072196375985891
<25> × 128398104289347811763967822750397740921154330527939009925021
<60> × 31782856110345537151380423421873599589154183758306132006059242544970069
<71> (Eric Jeancolas / cado-nfs-3.0.0 for P60 x P71 /
January 13, 2023 2023 年 1 月 13 日)
9×10158-8 = 8
(9
)1572
<159> = 2
3 × 97 × 2719 × 143604941234661915236700934207001377176642955419749949553037972283754433
<72> × 2970312870112634474081856312243618918857225018408712836933842598294545270555029121
<82> (Bob Backstrom / Msieve 1.54 snfs for P72 x P82 /
December 28, 2022 2022 年 12 月 28 日)
9×10159-8 = 8
(9
)1582
<160> = 2
3 × 76251200417245693501475512256578914035329343756295479903373181531759
<68> × 14753866087930588794845195723960036136025362808574634345561902880686146498922219047625365361
<92> (Bob Backstrom / Msieve 1.54 snfs for P68 x P92 /
December 27, 2022 2022 年 12 月 27 日)
9×10160-8 = 8
(9
)1592
<161> = 2
3 × 7 × 23 × 1223 × 235337 ×
242778361729789785704294456747684157724928638753956847031124263295969724112784076331678755860543596236640614938490833889497575472105273795085260626209<150>
9×10161-8 = 8
(9
)1602
<162> = 2
3 × 41 × 1167349 × 14521499 × 14060946919
<11> × 13962474192769
<14> × 1055964476057783167955941
<25> × 780782805079519038104390677293740032297594842594510552774509370949947878859394473569887386254770139
<99>
9×10162-8 = 8
(9
)1612
<163> = 2
3 × 8161 × 119503 × 43645115849353132240999
<23> × 516583861859625952539853566573137
<33> × 51162746658394999512046394300337397259577951633874696007176696105604069222680678989916266588802231
<98> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3461939370 for P33 x P98 /
December 19, 2022 2022 年 12 月 19 日)
9×10163-8 = 8
(9
)1622
<164> = 2
3 × 5444575571590553717796821590823776579
<37> ×
2066276765208619523137639174672879269646526619976624674435465896715659099061507397792931007648352866667827418544245891908344981<127> (Bob Backstrom / GMP-ECM 7.0.4 B1=25160000, sigma=1:557027749 for P37 x P127 /
December 27, 2022 2022 年 12 月 27 日)
9×10164-8 = 8
(9
)1632
<165> = 2
3 × 2113 × 30492791969
<11> × 512870652530623548511014147730347190057645496739351418583
<57> × 3404458040449650703151413971032578656006973730843209321029241569438805368433518626657525288249
<94> (Bob Backstrom / Msieve 1.54 snfs for P57 x P94 /
December 31, 2022 2022 年 12 月 31 日)
9×10165-8 = 8
(9
)1642
<166> = 2
3 × 439 × 919
2 × 213259625503321
<15> × 42052342748728208645797619666488581520739569
<44> × 338343736961762755448088458857491353092012317406397633125619433453123611306356388335190267740939169
<99> (Bob Backstrom / GMP-ECM 7.0.4 B1=26200000, sigma=1:296468163 for P44 x P99 /
December 31, 2022 2022 年 12 月 31 日)
9×10166-8 = 8
(9
)1652
<167> = 2
3 × 7 × 41 × 4091716553805383
<16> × 36865770622720614459813342814716082911699535159000332067296502668833
<68> × 259861396478665407070228230857676618228744237906412160437909129242195857172429943
<81> (Bob Backstrom / Msieve 1.54 snfs for P68 x P81 /
January 1, 2023 2023 年 1 月 1 日)
9×10167-8 = 8
(9
)1662
<168> = 2
3 × 19 × 97549 × 1240865819613067300442312381
<28> × 729754456276195699690383141932951
<33> ×
67030818463496407346451323935561732687976832563754785699554072647269890210907279474279426755438212059<101> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2810934619 for P33 x P101 /
December 19, 2022 2022 年 12 月 19 日)
9×10168-8 = 8
(9
)1672
<169> = 2
3 × 17 × 727 × 3049 × 337377551088241
<15> ×
88490283065586988858093963521122136276796471331114309019366870805517578925988586404292870678628629444535994402728254615457946889127685424293204529<146>
9×10169-8 = 8
(9
)1682
<170> = 2
3 × 5763481 × 1675832491
<10> ×
1164761616260158797253321797523230114885343307383804826194853512164196855435520567221951689655642369855628152847967968833382072744702325868410799432395269<154>
9×10170-8 = 8
(9
)1692
<171> = 2
3 × 31 × 67511 × 4377559 × 265182391 × 7883206159999343
<16> ×
5874037478027588824231304099552687273608321079244717421305264533174997980243236619390047729974436477078921063474844092853187027520217<133>
9×10171-8 = 8
(9
)1702
<172> = 2
3 × 41 × 281 × 17029 × 7645171 × 24317311 × 527619272009225064237817921
<27> × 3162417545305604354308007878084728749
<37> × 18485473793676300868999266502233139441955273289211700579576508990546640459765515867739
<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2213502735 for P37 x P86 /
December 19, 2022 2022 年 12 月 19 日)
9×10172-8 = 8
(9
)1712
<173> = 2
3 × 7 ×
1607142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857<172>
9×10173-8 = 8
(9
)1722
<174> = 2
3 × 180181 × 22520479 × 2672623411953566382956189106093522519795232903073067313747909
<61> ×
10373567508017045505388878182995763502893990869707860098347136324761166983791804956151590014536119289<101> (Bob Backstrom / Msieve 1.54 snfs for P61 x P101 /
December 30, 2022 2022 年 12 月 30 日)
9×10174-8 = 8
(9
)1732
<175> = 2
3 × 71 × 401 × 8116847 ×
4868133072856736514928348158113231805776209965772442957147321387236014059860099919669686893663760776205673874872897715089134828729257871417180072165647520684863127<163>
9×10175-8 = 8
(9
)1742
<176> = 2
3 × 29 × 704801224722241
<15> × 85530335535997309
<17> × 772289548920076347618178736683018503701
<39> × 53306600228112384039727712304642695275722675661
<47> × 156317123915499491584527829918456114574977718568796746359
<57> (Bob Backstrom / GMP-ECM 7.0.4 B1=30080000, sigma=1:2924063559, Msieve 1.54 gnfs for P39 x P47 x P57 /
January 3, 2023 2023 年 1 月 3 日)
9×10176-8 = 8
(9
)1752
<177> = 2
3 × 41 × 129125089 × 206462535543126514455677098283239967
<36> ×
102924028243775843850387815132700763607667868006506832305843845283773161039731317270963027267412798893561302147081481275494130193753<132> (Bob Backstrom / Msieve 1.54 snfs for P36 x P132 /
December 31, 2022 2022 年 12 月 31 日)
9×10177-8 = 8
(9
)1762
<178> = 2
3 × 61 × 69050315519
<11> × 47956857152461
<14> × 4417892616052151714382465541
<28> ×
1260640196096250582792252303779630962814310778934924002358741169995514863893077028452425551297727781997514171930472167107861<124>
9×10178-8 = 8
(9
)1772
<179> = 2
3 × 7 × 103 × 1072270807
<10> × 767215366761271
<15> ×
18966861922162644376517724958024194136368968422365330006390692927820897930703482150221157328229240544846602239245940821963049093281121988994998419734527<152>
9×10179-8 = 8
(9
)1782
<180> = 2
3 × 15146313121
<11> × 537057009380184670199
<21> × 3237985161343141901404333661501
<31> ×
4271204332095615882581793490219857647370279087620053502831263551104621008221056019549860725796817620738331359456387981<118> (Bob Backstrom / GMP-ECM 7.0.4 B1=25020000, sigma=1:3345886049 for P31 x P118 /
January 4, 2023 2023 年 1 月 4 日)
9×10180-8 = 8
(9
)1792
<181> = 2
3 × 22619239 × 37655428633
<11> × 551249797996769089801087
<24> ×
2396064441460829381371963063931615139528012964040835080980236512032162029682733697366398985590861965188398758412799258239149608419230165871<139>
9×10181-8 = 8
(9
)1802
<182> = 2
3 × 41 × 226178660461009
<15> × 131013111403482526897514609
<27> ×
9259814302109856112646852242840541534554842424738519224149456506779823389598458475966224033012740627119006899752315805649467474577094209319<139>
9×10182-8 = 8
(9
)1812
<183> = 2
3 × 23 × 233 × 37663 × 2538617 × 39516559 ×
5556195914925198693087235573136227492142778443877730976187197107588321708439771137560136080530372714737724951248838703295996061705303625854291643415082318911849<160>
9×10183-8 = 8
(9
)1822
<184> = 2
3 × 3079 × 34012141 × 176604496926061
<15> × 64735686974622049787331927644974792205009
<41> ×
939643997285663933034367379745499178199762624694263997258342464401801974506147881591126529534998247756967019106200209<117> (Bob Backstrom / GMP-ECM 7.0.4 B1=28720000, sigma=1:3926032360 for P41 x P117 /
January 7, 2023 2023 年 1 月 7 日)
9×10184-8 = 8
(9
)1832
<185> = 2
3 × 7 × 17 × 601 × 937 × 8449108033
<10> × 244900718425885233820762685344177372174501856084334486923766503541654293353
<75> × 81131699951942870179641354407414575362977117952974936326004659730353022567294389958295992017
<92> (Bob Backstrom / Msieve 1.44 snfs for P75 x P92 /
January 11, 2023 2023 年 1 月 11 日)
9×10185-8 = 8
(9
)1842
<186> = 2
3 × 19 × 31 × 59 × 47593849 × 13548011339
<11> × 19880876764075939
<17> ×
252536003293884792377029620799553107316432726075507760780633208696929201547709611213216324231033400701646933518325919124580354076802194970727636681<147>
9×10186-8 = 8
(9
)1852
<187> = 2
3 × 41 × 122743 × 16985879 × 23614417 × 45506688287
<11> × 4667217113790796814008683931859755349463049206083453162071799120694341823967
<76> × 2624058074122709483752225319560898279530385245147114911159234475260733376710759
<79> (Bob Backstrom / Msieve 1.44 snfs for P76 x P79 /
March 28, 2023 2023 年 3 月 28 日)
9×10187-8 = 8
(9
)1862
<188> = 2
3 × 1171 × 17177971 ×
559272882467079051400099092844266870970379629969869616898340481114276415940473626402958713505266548277333705086376494921929666846407045033612606220679591866618077045266346186439<177>
9×10188-8 = 8
(9
)1872
<189> = 2
3 × 10513 × 2543239 × 1179115474297
<13> × 1739356299424708019863
<22> × 539589729407050031992014454149160157499127
<42> ×
3802157606681184206625483211986982687953636327472908311075784042855119777772553283800668790455180248081<103> (Bob Backstrom / GMP-ECM 7.0.4 B1=26040000, sigma=1:231958674 for P42 x P103 /
January 13, 2023 2023 年 1 月 13 日)
9×10189-8 = 8
(9
)1882
<190> = 2
3 × 151 × 225132049 × 871996261 × 20303453641021987499004890020493189
<35> × 404200708956467421023784689613508411
<36> × 15515956357234042576138241850950176395461
<41> × 298042426078455211977367705198482503806014710674616313980039
<60> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:603192700 for P35 /
December 19, 2022 2022 年 12 月 19 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:4223826997 for P36 /
January 13, 2023 2023 年 1 月 13 日) (Dmitry Domanov / Msieve 1.54 gnfs for P41 x P60 /
January 13, 2023 2023 年 1 月 13 日)
9×10190-8 = 8
(9
)1892
<191> = 2
3 × 7
2 × 145687 × 61642509403698641819409697751
<29> × 1510933448799237887133058290866232390384925699630202139773158778416116601
<73> × 16920375483200433700160425592491035362465827483411209570173045490039931688274615223
<83> (Bob Backstrom / Msieve 1.44 snfs for P73 x P83 /
January 24, 2023 2023 年 1 月 24 日)
9×10191-8 = 8
(9
)1902
<192> = 2
3 × 41 × 1951 × 148764823504602629938533845723101
<33> × 5195087656928758107142196979380308421414355590012353806735875579
<64> × 1819777391551088197323979345470053112746064395294770470016524835883194646673844274204160791
<91> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:839133885 for P33 /
December 19, 2022 2022 年 12 月 19 日) (Bob Backstrom / Msieve 1.44 snfs for P64 x P91 /
April 4, 2023 2023 年 4 月 4 日)
9×10192-8 = 8
(9
)1912
<193> = 2
3 × 47 × 2153 × 2999 × 680487534780600047
<18> × 5928642013040410247881037829155795729
<37> ×
918879933395415842704896247879934799374942856245450117311320627387744272452252788678137724649475580763527903325536021838802020897<129> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:3123996843 for P37 x P129 /
January 11, 2023 2023 年 1 月 11 日)
9×10193-8 = 8
(9
)1922
<194> = 2
3 × 199289 × 113386127411
<12> × 3889339505279
<13> × 7262799040040675213597316719684982857184522919
<46> ×
17625010704668749793424575502453102774179614922233896284596430760322177108396990378483907611031378339193590688722409781<119> (Bob Backstrom / GMP-ECM 7.0.4 B1=27230000, sigma=1:2739039853 for P46 x P119 /
January 23, 2023 2023 年 1 月 23 日)
9×10194-8 = 8
(9
)1932
<195> = 2
3 × 1759454127828385646736473
<25> × 5409316094190777319974763748498911921
<37> ×
11820401102215668312690838544379062568834776897993807204822404643297346151292970288664459082029443140784130755942513835663330401381703<134> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:543131541 for P37 x P134 /
December 19, 2022 2022 年 12 月 19 日)
9×10195-8 = 8
(9
)1942
<196> = 2
3 × 191 × 12763519 × 27077890374894089
<17> × 277101660086828821
<18> × 120114623485999364497433460413599
<33> × 25877676049782522580878354518749915940374714460053621511
<56> × 19786711272966880354605917313298337431094163031276791434922976291
<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:403047177 for P33 /
December 19, 2022 2022 年 12 月 19 日) (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P65 /
December 24, 2022 2022 年 12 月 24 日)
9×10196-8 = 8
(9
)1952
<197> = 2
3 × 7 × 41 × 177943 × 2290347089
<10> ×
96180806702126563304037495974926211428879268739503236631653919795399993208744241788857022999001719372826803002305288758824461471237442913287400396947616038153179286086381169502551<179>
9×10197-8 = 8
(9
)1962
<198> = 2
3 × 89 × 409 × 911 × 159769 × 26107099 × 61928948934716429479
<20> ×
13133364225843455910374528181500814764855298711907112099750059251604526070874927239204969122317889830759424909675381842695962049424964605992251785073139280541<158>
9×10198-8 = 8
(9
)1972
<199> = 2
3 × 2609 × 10486671172327718832539360280571243613815155166319423
<53> × 1311501759085838033177791275015581473178417778609923141303614781801
<67> × 31352481174336382232498890183222827101633213834403528987025385305813890775657
<77> (Bob Backstrom / Msieve 1.44 snfs for P53 x P67 x P77 /
February 10, 2023 2023 年 2 月 10 日)
9×10199-8 = 8
(9
)1982
<200> = 2
3 × 281 × 3319 × 5755931 × 326910231209
<12> × 273305110064218372216663441160725527013154555353282026934028302394999689
<72> ×
23455630220253797329712631094048353578350192067216496086788879619871302518136205955465390897338762527011<104> (Bob Backstrom / Msieve 1.44 snfs for P72 x P104 /
February 18, 2023 2023 年 2 月 18 日)
9×10200-8 = 8
(9
)1992
<201> = 2
3 × 17
2 × 31 × 12241 × 106993 × 243368825502158364667718968521502365447364811963146097818894992123833138082562043729
<84> ×
39396330918541127084356993061864003144933888346425881160685516445764094515562244394670092099454914577393<104> (Bob Backstrom / Msieve 1.44 snfs for P84 x P104 /
May 31, 2023 2023 年 5 月 31 日)
9×10201-8 = 8
(9
)2002
<202> = 2
3 × 41 × 2001346079809459
<16> × 17961037381695305399876259650245620265422871
<44> × 31314220089408713858012074057428513544449224988129965315100662851
<65> × 24376618157535100687792894181975437435953734373011206954841175085072523343001
<77> (Bob Backstrom / GMP-ECM 7.0.4 B1=40700000, sigma=1:354318392, Msieve 1.44 gnfs for P44 x P65 x P77 /
June 5, 2023 2023 年 6 月 5 日)
9×10202-8 = 8
(9
)2012
<203> = 2
3 × 7 × 9778164792606516886430843893284481016008650228766261868027905144755559
<70> ×
164360377558583673991297644276209153878567195464994836129743339103021531779228562356888044279104769468553012817052167957544604835023<132> (Bob Backstrom / Msieve 1.44 snfs for P70 x P132 /
June 26, 2023 2023 年 6 月 26 日)
9×10203-8 = 8
(9
)2022
<204> = 2
3 × 19 × 29 × 38883404771204496479
<20> × 24963214880686526036040596870488638513812328073317790201481
<59> × 12939575418675325162602669601052494954097630956446202509600169
<62> × 16256090034341889630627869602576188171247984405656354654231079
<62> (Bob Backstrom / Msieve 1.44 snfs for P59 x P62 x P62 /
July 11, 2023 2023 年 7 月 11 日)
9×10204-8 = 8
(9
)2032
<205> = 2
3 × 23 × 78468053017597129745047350560422169
<35> × 160815815353420131773562220072065457001
<39> ×
3876172111945691111142036444974567457653756304674350881736890987072982220209313352218609555976495195711614246550416677054058161177<130> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3835422845 for P35 /
December 19, 2022 2022 年 12 月 19 日) (anonymous / GMP-ECM 7.0.5 B1=3000000 for P39 x P130 /
August 31, 2023 2023 年 8 月 31 日)
9×10205-8 = 8
(9
)2042
<206> = 2
3 × 4365395412522487173344256056084948144937787046641822653523581133621
<67> ×
2577086136969052541082931673639865950992425470609121861680078848732892743538617822260284484097834165790951043948773906265651433507760597219<139> (Bob Backstrom / Msieve 1.44 snfs for P67 x P139 /
December 29, 2023 2023 年 12 月 29 日)
9×10206-8 = 8
(9
)2052
<207> = 2
3 × 41 × 3863 × 996409 × 617384711743871
<15> × 6794847792023392354391
<22> × 16035403955974408010950434752401308702526223011289645593395386208044770049
<74> × 10597192108179135678259906505101208272452407909105552243452800245603781131839613015953
<86> (Bob Backstrom / Msieve 1.44 snfs for P74 x P86 /
April 9, 2024 2024 年 4 月 9 日)
9×10207-8 = 8
(9
)2062
<208> = 2
3 ×
1124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<208>
9×10208-8 = 8
(9
)2072
<209> = 2
3 × 7 ×
1607142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857<208>
9×10209-8 = 8
(9
)2082
<210> = 2
3 × 71
3 × 538711 × 2132661430399
<13> × 46581897185200319
<17> × 104612117435245443211
<21> ×
56143638287533629064797974707270042629935880840954485238555695642548254427981971982744695830636318317839230618095578611659080221332969839513791245709<149>
9×10210-8 = 8
(9
)2092
<211> = 2
3 × 136394895233
<12> × 247604522647
<12> ×
[33311626070648780944917333164034227618378044786224048475169675953086603706231138600285067844180305026068107890367309280240917158108108780828179677937619042738255540721760214996451513404249<188>]
Free to factor
9×10211-8 = 8
(9
)2102
<212> = 2
3 × 41 × 3351301 × 111797011 × 931528079 ×
786192844580237623270237477370779788685784696226728352516955979799686507923493988352507035321293433890686150665376950850867572564631042900638913777873965374544613293159032518200322010231<186>
9×10212-8 = 8
(9
)2112
<213> = 2
3 × 103 × 141319 × 45248784569
<11> ×
170807849169050355821297105758230505044531295840138875054542849515355471526010107963604324894598929508985132683438915034123967233751655186909728538707037179812828701678698920045342389533393365703<195>
9×10213-8 = 8
(9
)2122
<214> = 2
3 × 148094411 × 20836250658536066388168394249
<29> × 948819199549855022766117809542381
<33> × 11186252357812133287910582151479369
<35> × 61298894757716884379580034387509716909
<38> × 560368300202940827504917539693549515692230752217832282904016713991393541
<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:97286619 for P33, GMP-ECM 7.0.4 B1=1000000, sigma=1:2743935569 for P35 /
December 19, 2022 2022 年 12 月 19 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:4037731290 for P38 x P72 /
December 24, 2022 2022 年 12 月 24 日)
9×10214-8 = 8
(9
)2132
<215> = 2
3 × 7 × 1327 × 1553 × 208337 × 1236577087
<10> ×
[3027084209793414175199383759617712896991295597890063639647764628355224923739787662228081254766868519871445582470799715129726031296795227780863233529365453572855477945611906903956217856218452313<193>]
Free to factor
9×10215-8 = 8
(9
)2142
<216> = 2
3 × 31 × 271549 × 3310501622959
<13> × 1314130650612499
<16> × 258983587354237380697561
<24> × 13907567247268333142887759
<26> × 125787211606676750610823829
<27> ×
6780322793771968354379922752194998677818328082067476629464867141904531213212833532710906645001715792714611<106>
9×10216-8 = 8
(9
)2152
<217> = 2
3 × 17 × 41 × 1055489 × 74008312358407673
<17> × 1139285229601970081557127
<25> ×
[18136482655309877659450396080259880099204736358524922659491038253999615639883282646613329061480538554526757272267116311436674363053521928379146337769571945401655624793<167>]
Free to factor
9×10217-8 = 8
(9
)2162
<218> = 2
3 × 105361 ×
[106775751938573096306982659617885175729159746016078055447461584457246988923795332238684143088998775638044437695162346598836381583318305634912348971630869107164890234527007146856996421825912814039350423781095471759<213>]
Free to factor
9×10218-8 = 8
(9
)2172
<219> = 2
3 × 599 × 7545286121
<10> × 43113193793
<11> × 185036690233
<12> × 122269050484969
<15> × 2949368722936449911751431
<25> × 17773633196499293271484433573824708463
<38> × 84452587128139390656609379719872491177199
<41> × 5764307728987304973004339006179201492541030417960582940899361657543
<67> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:910351156 for P38 /
December 23, 2022 2022 年 12 月 23 日) (ebina / Msieve 1.53 gnfs for P41 x P67 /
December 25, 2022 2022 年 12 月 25 日)
9×10219-8 = 8
(9
)2182
<220> = 2
3 × 58277744857944851
<17> × 153187088312217131
<18> × 169575854207293531
<18> × 398712558242037085584998330291219
<33> × 297579748543620075599362116291305513249
<39> × 6263258298899376899782094369247451215935960567568310988175239161773979637324568258773048253434639
<97> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1530221090 for P33 x P39 x P97 /
February 3, 2023 2023 年 2 月 3 日)
9×10220-8 = 8
(9
)2192
<221> = 2
3 × 7 × 829121 × 16386230017
<11> × 35601036141419863475246822884668367
<35> ×
[3322728698607329158138534946350910883896137015870107341428377637653516784786411177670317106337782276493320221725564549090836960852496612402906978242764503291889987300903<169>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:247670567 for P35 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10221-8 = 8
(9
)2202
<222> = 2
3 × 19 × 41 × 1381 × 47456579 × 430790209440109
<15> × 462983001601035378821
<21> × 369705926699735592409301239
<27> ×
29883927537839848536640676832991775323765995277448240888198809996009321716499943394149719142091276669713909896982722272862256151678650656779502789<146>
9×10222-8 = 8
(9
)2212
<223> = 2
3 × 113 × 202140311 × 522164273441
<12> ×
94322215982455764647829365190608959494607015636487532051817527364415305794834499091607559505092006887761811055525486936829768986277117928105486292720345238223560647070215035186727856629685468946268873<200>
9×10223-8 = 8
(9
)2222
<224> = 2
3 × 109 × 17765689 ×
[5809569737166508239872069535606713747622936435600745692823340025016089913230801960117431823089238026082108262348339497236044524110750061872821411671316433697076209472595789878347718149035077898566008203026745450099<214>]
Free to factor
9×10224-8 = 8
(9
)2232
<225> = 2
3 × 223 × 23297 × 199284141378337
<15> × 236406237987417906063007489
<27> × 208876539892506881684190419524111087
<36> ×
2200525082953608961326406385061700197040889550718682877800388261879322568699321751219383598515850138080206384623535331635966410498520162621519<142> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2839158871 for P36 x P142 /
December 19, 2022 2022 年 12 月 19 日)
9×10225-8 = 8
(9
)2242
<226> = 2
3 × 19672549678928869
<17> × 3186270174590776026541691
<25> ×
17947719499149429926935676500697102104817648618298034228918525205798323060410573178700468200402527101417021002543025282720052065063716099527461847158103819979547408702635645085653079881<185>
9×10226-8 = 8
(9
)2252
<227> = 2
3 × 7 × 23 × 41 × 59281 × 43650193 × 12697497055398521759766264447868423
<35> ×
[51870803991408287391491486481714457952469590093705243592452587362328756535214570993136479099119124025717429311585076922119714798699122675235865471946388763585937222956374622561<176>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1345242969 for P35 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10227-8 = 8
(9
)2262
<228> = 2
3 × 281 × 76511 × 43612189 × 586596971 × 60260101435879
<14> × 86574097632394286741
<20> ×
[39206384139367929966258075565551531376315305867878888656246363373690775564095893933084657316215681880670895597829282419299794090500439871569711204340047497008040481641229<170>]
Free to factor
9×10228-8 = 8
(9
)2272
<229> = 2
3 × 4258127 × 28012473600593
<14> × 13388971125005719039
<20> ×
[704425788808965118567769407608639986355909172824576949131704490761610719380737662115910865817418688309444059750757239754397924248191726413882152152714844692465719863074598430849362251756031<189>]
Free to factor
9×10229-8 = 8
(9
)2282
<230> = 2
3 × 23399 × 34501 × 4624283551
<10> × 828334611753071
<15> × 1313925225969911531
<19> ×
[2768870385608239031325482407518603070865459250678346735097844410039303929504436807540341460858355743935127831796031138944594767303917640055568652096804968491562521632985087831151<178>]
Free to factor
9×10230-8 = 8
(9
)2292
<231> = 2
3 × 31 × 13375189787895483319
<20> × 5375009134242689409692857
<25> ×
50479107626064320865628039636650486540222543264721929077749342530584580356580280866574218064400744139845522372432697725946361827458689714655508773973635740932151122963042152855072252063<185>
9×10231-8 = 8
(9
)2302
<232> = 2
3 × 29 × 41 × 629921 × 4113501599
<10> ×
[365151349889639994083103382320986354717238532825569266143589304491488694935293106539497239415551420447039621635796024281284965179394026113325100505758896162398600343780482697459342912845326029926111405124666512429<213>]
Free to factor
9×10232-8 = 8
(9
)2312
<233> = 2
3 × 7
3 × 17 × 1879 × 4271 × 414976613130449
<15> × 5081397015271887838375346191513
<31> × 878602778055218301003532638742393223
<36> ×
129763875433781309230604095395038621275772324223898969351347836984610133613945794881141827773404395472650077379878563963750469854619925340431<141> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:538889803 for P31, GMP-ECM 7.0.4 B1=1000000, sigma=1:2590910484 for P36 x P141 /
December 19, 2022 2022 年 12 月 19 日)
9×10233-8 = 8
(9
)2322
<234> = 2
3 × 2329699 × 39005971 ×
[1238002767829545380994359435176473872735194837351612362792033011987352479542438278178613898047222916050709205023293824627743532583946545875877511218499426014924598610093442645209677322875075551728331891954956048483012631<220>]
Free to factor
9×10234-8 = 8
(9
)2332
<235> = 2
3 × 193 × 68113 × 4210808221049
<13> ×
20323558050079772672516551694422851695243977865694003022700323210182655023333474753770941249425731328537999031786646728825654278419758785081397057623131076523960308703836446230651210930923681496935484635074255068039<215>
9×10235-8 = 8
(9
)2342
<236> = 2
3 × 199 × 1229 × 4302577315528886291
<19> × 606868702385683902511746578099
<30> ×
[17616682996192579465227161322097048562738284737333404149035157760565247480272256299047239402635300936814073063222836547268319614000597308883100604692899889089120120471106493315385541<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4247203610 for P30 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10236-8 = 8
(9
)2352
<237> = 2
3 × 41 × 902643338936943991555988052889
<30> × 7794669019890564384338735653453999
<34> × 27437785300776511793967011654392249
<35> ×
14213654413067216489960968284129052009264822864117365562193026613804149186457549403029978629699485448815852300377179243413073843793542201<137> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4159487986 for P30, GMP-ECM 7.0.4 B1=1000000, sigma=1:2013491480 for P34, GMP-ECM 7.0.4 B1=1000000, sigma=1:1463593845 for P35 x P137 /
December 19, 2022 2022 年 12 月 19 日)
9×10237-8 = 8
(9
)2362
<238> = 2
3 × 61 ×
18442622950819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459<236>
9×10238-8 = 8
(9
)2372
<239> = 2
3 × 7 × 47 ×
[34194528875379939209726443768996960486322188449848024316109422492401215805471124620060790273556231003039513677811550151975683890577507598784194528875379939209726443768996960486322188449848024316109422492401215805471124620060790273556231<236>]
Free to factor
9×10239-8 = 8
(9
)2382
<240> = 2
3 × 19 ×
[5921052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421<238>]
Free to factor
9×10240-8 = 8
(9
)2392
<241> = 2
3 × 31062767 × 249252607 × 868626928350579361
<18> ×
[167278214845561146849452189086184940018257764061455335023318291719681291008375567594422975223729965363134252764127422949207724574046562486287366542069311148342236745326986944069959326067930279126570749998511<207>]
Free to factor
9×10241-8 = 8
(9
)2402
<242> = 2
3 × 41 × 89 × 2131 × 27239 × 11384530735726421075662679433751
<32> ×
[4665400330039628815973222234523658247783618422692118755788688751647042606505385572865707389608642425184727625275755319328981589093835164569727804136281245336640320686398248307443688017955377819585189<199>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2798122035 for P32 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10242-8 = 8
(9
)2412
<243> = 2
3 × 4889 × 1994647 × 5816191 × 7126956135933281
<16> × 781328894255921633
<18> ×
356196629732396905592240336054749720384270032415361735834623932290694218309657370487035221579414431210047235876757495679496634951345060920490669754864133630550743852260597053204571251722479871<192>
9×10243-8 = 8
(9
)2422
<244> = 2
3 × 59 × 1931 × 1513097750556356139119141586352385329
<37> ×
[6526062841027789746462092308377675240924488784659892491464093516491123864305365597910000996110266335182871489733284130625491536994209639232410577620782695296165804884456462985405265287770062805288562039<202>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3177203934 for P37 /
January 29, 2023 2023 年 1 月 29 日)
Free to factor
9×10244-8 = 8
(9
)2432
<245> = 2
3 × 7 × 71 × 37057 × 2574529 × 46144108935773561
<17> ×
[5141760268593771435464815746132590838134120685092964769110785680774858309628040914009423566833461220331636885872521533462062609006364874890463942433822811740816464358947177064374463759862673669667383903562945608999<214>]
Free to factor
9×10245-8 = 8
(9
)2442
<246> = 2
3 × 31 × 27299688181
<11> × 32786372105375639
<17> × 40702798325213419
<17> × 16224018641303618510698939
<26> ×
[6139840281717496099417995185909712598713605528279855163505300361022304030412086028565635832075131927527985351956710161871210476086846393887635200064443239737126020340151094291<175>]
Free to factor
9×10246-8 = 8
(9
)2452
<247> = 2
3 × 41 × 103 × 593 × 5441 × 382566954344861023
<18> × 14359269197935174524739950359
<29> ×
[15029974051947831137587025069204959828934135354026691581181102608079263827301874095132709533120982641152496411346710230577766767438815604060320561153995787305423529229688155777159258900503593<191>]
Free to factor
9×10247-8 = 8
(9
)2462
<248> = 2
3 × 177101 × 1411239548599
<13> ×
45012254983169516860535810863568097620386223688503747042439875468866077867923123579068935151061630154773976890295143852739154583474485366697687810468236972233550796274142235436269487572349315148408792013448678811990072337863681501<230>
9×10248-8 = 8
(9
)2472
<249> = 2
3 × 17 × 23 × 263 × 34833275414194459828523030599289
<32> × 106174697850146351905657712134351063
<36> ×
[295804426899876845052192855324900994795549112058698657577187932506441456433421362993675093681889543078687612354033786397424897861862719355835923779851357819014186265455201420529<177>] (Dmitry Domanov / for P32 /
January 29, 2023 2023 年 1 月 29 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3755492150 for P36 /
February 1, 2023 2023 年 2 月 1 日)
Free to factor
9×10249-8 = 8
(9
)2482
<250> = 2
3 × 461 × 266221 × 6828681421
<10> × 45292939301
<11> × 119338548324018625106466655721
<30> × 561131461889001968866082333969
<30> × 15142494080361621572322784745599590404959
<41> × 97899783070788796630900067103863923090082154741260151109
<56> × 298550234715869656438777772575974814248256667720588501919707391821
<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3490343427 for P30(1193...), GMP-ECM 7.0.4 B1=1000000, sigma=1:2722837459 for P30(5611...) /
December 19, 2022 2022 年 12 月 19 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2973906673 for P41 /
January 1, 2023 2023 年 1 月 1 日) (Ignacio Santos / GNFS, Msieve for P56 x P66 /
January 3, 2023 2023 年 1 月 3 日)
9×10250-8 = 8
(9
)2492
<251> = 2
3 × 7 × 454868741011386469127563346804233
<33> ×
[3533201366111518431600577738499808474436404603993602857042956745396985099233699065974359743695490935046778494383713238558195023411173218702568798537214474079717821208234773502941919946580137933099337133633688647729729<217>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3595748470 for P33 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10251-8 = 8
(9
)2502
<252> = 2
3 × 41 × 379 × 4560769 × 378282073349
<12> × 29496980979147809
<17> × 5802853754576463538216524941
<28> ×
24516384580169944220154868907608020399208118500465335376138965885042165478971320121034725009410913084537052705558190756743549420510942576138811450704299312839844405984547386347444885669<185>
9×10252-8 = 8
(9
)2512
<253> = 2
3 × 786277537354345889
<18> ×
1430792495720254260715930650681396455971693512906831145213672743745664244586416835861498977265186788654724850193814463387984326544135702420113696812001587961013862010587803075614174014759576283990062430571795491689770031127057781016991<235>
9×10253-8 = 8
(9
)2522
<254> = 2
3 × 9059 × 130650827745797649308427703979
<30> ×
9505174565310657417035684064660464541754304530054549925451338563069825821640580316581811244929454249781123958503052952891768519324408563298728040664556509475804442294421529310147785711709647425508689539296587500495184159<220> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3767578005 for P30 x P220 /
December 19, 2022 2022 年 12 月 19 日)
9×10254-8 = 8
(9
)2532
<255> = 2
3 × 97 × 13343529473
<11> × 377196656651938444706303894537
<30> ×
[230431705562292812133615627054458069393105682864424697480564076033120249557188238707992825561408314377677904257035502850220733262009475289767786126776192299747895436323758337077603852295514310545658239585860022567<213>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3595929191 for P30 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10255-8 = 8
(9
)2542
<256> = 2
3 × 281 × 701 × 1949539 × 14690094565651
<14> ×
[199421356236526680136467908537611881350495388318104722131071519721586108936355355798636208835592156832086326379238770996644760506948732690215922426818952393840614229192775244839931281769191871717986948382630468994748494204220373211<231>]
Free to factor
9×10256-8 = 8
(9
)2552
<257> = 2
3 × 7 × 41 × 186311 × 27672538381347833737599735490121
<32> ×
7602967435893290520264506411365785081361184594923583184377612599085891028879863079815322570244599668897472079424246706333865374836193156048352202166321767583245867088751480000851215634748069602838527261522729215713567<217> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3172588663 for P32 x P217 /
December 19, 2022 2022 年 12 月 19 日)
9×10257-8 = 8
(9
)2562
<258> = 2
3 × 19 × 131 × 732761 ×
[61682970368538953735287907695874920761850654673631568470036147520090539590776170737308371496664775199959206556961816951208280812774228881736726238326738421338440307516331091395685158010734820568452830162692222798193735550013715030266196905028286031<248>]
Free to factor
9×10258-8 = 8
(9
)2572
<259> = 2
3 × 1319 × 1175597645819838333627886853021151757793
<40> ×
[725519382392964124387108874082629122895863285273430101846009275597919174074036059314532835440683165755377730159977464897765980765893871072252218519713885223399635935107761509878375985352799817262401600550045588930697<216>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1542460864 for P40 /
January 19, 2023 2023 年 1 月 19 日)
Free to factor
9×10259-8 = 8
(9
)2582
<260> = 2
3 × 29 × 158550559 × 101180353507232819
<18> × 1572434941432335839
<19> ×
[15378637809582654639707845219825893177917377367071747005164475208851996845730661315790666786611449396887708475659494331689221974934905880511390101551800677105863460346937962699680966027866587850116065550913743498249<215>]
Free to factor
9×10260-8 = 8
(9
)2592
<261> = 2
3 × 31 × 3308403286389623059639
<22> × 189757910414323306514999
<24> ×
5780594372092822450993234425221305241718635824396259182030500773151619398869619911890027504474401020041869206170931956624665596750957742005115875069436538858693686050671658049393843584173783544025699088571451419089<214>
9×10261-8 = 8
(9
)2602
<262> = 2
3 × 41 × 6890560878748132709
<19> ×
[3982117693041699869264586282745933857333128469751482467451425556345538308227369718304783955954056876938060075889897642977066273445541204376494717770432386838656158265132629278515676768772282441753425105887021707834790715569330455966614938971<241>]
Free to factor
9×10262-8 = 8
(9
)2612
<263> = 2
3 × 7 × 526456967 × 633628361161391
<15> × 2067002700559119958249
<22> × 104362179137198886414598573951
<30> ×
[22334324107154405291951532346404887799719291833142515438864260810652106416993860744593916914989764956754182614507608570269724538902203085996035377543185408224055591692129724192814664142119<188>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1252413212 for P30 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10263-8 = 8
(9
)2622
<264> = 2
3 × 181 × 47609350332379233950819575011901
<32> ×
[13055144776954691268574045090399660277197555514267167436005320020516476447133124782054051744063737386624337218250873616812657333206744940970242277894840294307256033832207275658614059928179087337976392350320691894791425969433659679<230>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3917502550 for P32 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10264-8 = 8
(9
)2632
<265> = 2
3 × 17 × 151 × 248593 × 8696415443057
<13> × 69110409462767
<14> ×
[2933283327221816414798118954123957775252451142249020785015977675430007362879678536650662756115468620733907301915823498416218395343122935216769395172901427088567321371927647057269980052922964122082451916647826192637461122775413191<229>]
Free to factor
9×10265-8 = 8
(9
)2642
<266> = 2
3 × 10016761 × 64134261781764987816711049
<26> ×
17511974278404088245510672855188815639272056947218461024971163555144411278237378337630759644932793032275001975120722172238899896088199949590894314256540504677046649501626359176695673331550161878818020249591667075213899035061812035391<233>
9×10266-8 = 8
(9
)2652
<267> = 2
3 × 41 × 15121 × 518292829937
<12> × 209485455623063905977254711
<27> × 44152326397256637192019768378499543
<35> ×
37853451440386113118093273931329161743395781328975287622887120765300127224797846479464358966593041278957073134376043995428441194566123138829228292782891288161595088930273326782684875524759<188> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:950519667 for P35 x P188 /
December 19, 2022 2022 年 12 月 19 日)
9×10267-8 = 8
(9
)2662
<268> = 2
3 × 757825067651
<12> × 38386301209749732540486609239
<29> ×
[38672948848369489505713412676691081902648850946490416031839661661433579017137606383190877322456587261958527047636075748231446292328154830696445899482946979431205591816531293893336061353199733614834458418133231596127264053824691<227>]
Free to factor
9×10268-8 = 8
(9
)2672
<269> = 2
3 × 7 × 141222607 × 34165771998007961
<17> × 4209006544516583538247422389191
<31> ×
[79136970128446564653295627337004324814466940975406087368409706371890737923463858548607827826534880188854520583765384546514146802936241436220199260979960384367631522429632327678681034671082144942996947310108936201<212>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3147694971 for P31 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10269-8 = 8
(9
)2682
<270> = 2
3 × 149 × 1078126144091
<13> × 2388686776195441
<16> ×
[293182113393230842653504016143544564228914236738409159721347052953194395968925629550630576500636355201699970500387012693600595912077047489992147441054919282547150418550129632071253281977300686961085988307797343623237829991665203431293518921<240>]
Free to factor
9×10270-8 = 8
(9
)2692
<271> = 2
3 × 23 × 8883703 × 13770031873054796603273582206913
<32> ×
399848720048533152789542813094801370113875393634352534795921979104619883352805796769410462615527577581115141743928692159051985087522653864833581354624071884706123048757996144765112664398121625258167093948500425350390566230478480367<231> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:663349389 for P32 x P231 /
December 19, 2022 2022 年 12 月 19 日)
9×10271-8 = 8
(9
)2702
<272> = 2
3 × 41 × 44727254065518169
<17> × 211481842938484479895562179
<27> ×
[29008371119932669522699656404862913913958543663403777242462942638777560054906679535200576272380745456817516209955117050990272776793104012021917295473809788659654734838195852218680866025148935028957819412558754258224947295135189<227>]
Free to factor
9×10272-8 = 8
(9
)2712
<273> = 2
3 × 534633202073863
<15> × 2164232716032188400111934584278593
<34> ×
97228287958564645307647257714475259707434630603453388764095015035713459341485511371629576479771644681337596271306051801353546193216640232943850750366221827671190914917984793848583499022194916967972014753978346297123127108361<224> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4090228498 for P34 x P224 /
December 19, 2022 2022 年 12 月 19 日)
9×10273-8 = 8
(9
)2722
<274> = 2
3 × 5260935824041291979419177019689
<31> ×
213840281962574670532268852826805013213155653906734401154051599481644703246059213740004589561177527448656913165166574149414889624070697493868838200978779081289048913396236912794051368539770414677568188647769337300026637794606427722392372034791<243> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:577856720 for P31 x P243 /
December 19, 2022 2022 年 12 月 19 日)
9×10274-8 = 8
(9
)2732
<275> = 2
3 × 7
2 × 3329 × 7351 × 53939712121
<11> × 45866849062889999651479994513
<29> ×
[3792177822298872240534104262691899885635814538136884598171260881929874796656828533732990548106245309552103460661494488751878717292482143259312618938188465310536433538933533899503826823158927619566929489210781802174593916053953<226>]
Free to factor
9×10275-8 = 8
(9
)2742
<276> = 2
3 × 19 × 31 ×
[191001697792869269949066213921901528013582342954159592529711375212224108658743633276740237691001697792869269949066213921901528013582342954159592529711375212224108658743633276740237691001697792869269949066213921901528013582342954159592529711375212224108658743633276740237691<273>]
Free to factor
9×10276-8 = 8
(9
)2752
<277> = 2
3 × 41 × 53465440711
<11> × 227112814726615380886858508436719
<33> × 16945272926639982268837057956619623247
<38> ×
[133353772706965377754176230190078198990531673145059814593638579046321493280705143486823249915410011016946572682133463476087769501426424170945952710021722901667709079213454508891373227174892034593<195>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4044287101 for P33 /
December 19, 2022 2022 年 12 月 19 日) (Dmitry Domanov / for P38 /
January 29, 2023 2023 年 1 月 29 日)
Free to factor
9×10277-8 = 8
(9
)2762
<278> = 2
3 × 1481 × 12799 ×
[593500958754637682436259711588077204081872745059051762726863103701921344610449446933602119806055492919955607183397968665154092104701587981716372064221129699795608820933058420172195466612827776731164482117130289392650157984679656406732062910679582865368818113796976985721<270>]
Free to factor
9×10278-8 = 8
(9
)2772
<279> = 2
3 × 3121638687350327
<16> ×
[36038764017078139164601232000583142502850365730492351475888088897363973975138388938479891929385598013654464811119401758655540823035513702963163459468627425661685541460044920732662243256754151799948873539309551419457501994969256894851010391708901217402100886767737<263>]
Free to factor
9×10279-8 = 8
(9
)2782
<280> = 2
3 × 71 × 25297558390427510858874315561340669181
<38> ×
[626347814994308657281583845458390617768479943977033857128075147015970193180262082146406277800078210478289881280628840264242378917612632723545192727819506117803744444864944499082293488804120553194606568262842823341105912767988155255234964349<240>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:77502544 for P38 /
January 14, 2023 2023 年 1 月 14 日)
Free to factor
9×10280-8 = 8
(9
)2792
<281> = 2
3 × 7 × 17 × 103 × 1033 × 21929 × 1002719 × 8854081 × 2862862822134439
<16> × 16071456576491903263694561
<26> ×
[99190635875366130815504406935768429465818549135114535095337143703891800254974345297577445912673056984807017303714037909060753438701683087281682948650780916164962698917897775823450125592263232066073376997023841372071<215>]
Free to factor
9×10281-8 = 8
(9
)2802
<282> = 2
3 × 41 × 6841 × 11374300908804079
<17> × 129480073586255801
<18> × 40986643369786809523419022546680927019
<38> ×
6644756511983623655194892112950868326824427297782259284701811634225085868795988094630596850131169709563518579383216544165188881723305994779603883532619443430240627510944316820266877487501623727499103754379<205> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3075768295 for P38 x P205 /
January 30, 2023 2023 年 1 月 30 日)
9×10282-8 = 8
(9
)2812
<283> = 2
3 × 4401207463
<10> × 3996212940887
<13> × 42790018749521
<14> × 2071789972559356647569
<22> ×
721512494738793633472375324484759927268984274888838936291751105637921192697335038096223651024754253518084705733474452518262569109975536383423297268059078763263609570272580268507924076325700921844027993323824196434115799936671<225>
9×10283-8 = 8
(9
)2822
<284> = 2
3 × 281 × 4871 × 9739 × 69285929 ×
[12180599469886193773254691936298815420707678682834706846641752740287794876835804980019895920337914981237232548003123338643606706797872294807272272813398354805617526799045273019318595602678646687497112943468515022654601315839371699470243824379571911904014123876672379<266>]
Free to factor
9×10284-8 = 8
(9
)2832
<285> = 2
3 × 47 × 337 × 3593 × 5209 × 1900601809
<10> × 36558254951
<11> × 78042114209
<11> ×
69985419041784998067812671386889996545127150741019020934108340139034829137245240099100238242649934357438050586323720017065368179898882395826820387936506136128394772857736935586662417110720704826890445940578521937594816485693341466418849248903<242>
9×10285-8 = 8
(9
)2842
<286> = 2
3 × 89 × 131134961 × 2341327564428629089
<19> × 76616194341271139958381630601
<29> ×
[537354970279618635424842264532650346398549366038575100459419048961407342450034936139683044441160697815498901382457938215904264898397782807812858471990331553495807625627315023953316451687539790106901884488364159704498930736855279<228>]
Free to factor
9×10286-8 = 8
(9
)2852
<287> = 2
3 × 7 × 41 × 16011410054104302793
<20> × 191590115776671229633
<21> ×
[12778148938772630344044736579216718209690826494640795667042373856888448670010044643760858424204102771639781457675835825313320035107663958645619980868712836255932020249322610242019584337166998552373984195907738981006709673010910141640646316886233<245>]
Free to factor
9×10287-8 = 8
(9
)2862
<288> = 2
3 × 29 ×
3879310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931<286>
9×10288-8 = 8
(9
)2872
<289> = 2
3 × 124782503 × 1207611222593
<13> × 1341014676520336058051442936481
<31> ×
[5567217110783848213301630789443389204003191525087870115245293164869150592712801055078071166823912905792019596935881892575714163483448095099805242801775397836600684419430595380394170078196402533501212238155393196485737648639696948374408201<238>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1322410519 for P31 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10289-8 = 8
(9
)2882
<290> = 2
3 × 9538469 × 2639187081077501114019971
<25> × 33595767703703868627339693887617889
<35> ×
[13302066159355144617545343416877928061856061892156821002928064923620836207579888310040212236578371714142054475064838360607420132187308602541496479177491665533841043916847978134594244225994722769158732937153389133948547470609<224>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2862924670 for P35 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10290-8 = 8
(9
)2892
<291> = 2
3 × 31 × 191 × 39444577 × 1579797143126891684052471599
<28> ×
[304908010442821607329515235229662137314194908175619571592888923602949293473329976739893851966618165232362521954213319985571484881653036964522854644868047415752304613744764669579958454700008743905988158006339632037503742551950258890403760189228565093553<252>]
Free to factor
9×10291-8 = 8
(9
)2902
<292> = 2
3 × 41 × 659 × 1049 × 13499 × 27357125578154089
<17> ×
107481990725441721642045435233920516767099232281925861135959502220198946556738561924467708093877379288113299899855458375137331927070612697162541733338847732580911188164279549406292020099290547424200200449562245471435811967928900543731495915410043917052051099196039<264>
9×10292-8 = 8
(9
)2912
<293> = 2
3 × 7 × 23 × 504983 × 5345689 × 26238559 × 611869439 ×
[1612305951652897838972696586145806700634050553800431438477473795956429750516424384099374416747845471276617633787618622250422424386542353167674774007414499863140197684665942910211583436364129401969844226159842723798862899789067798632194942382754669663428252729857<262>]
Free to factor
9×10293-8 = 8
(9
)2922
<294> = 2
3 × 19 × 179 × 631
2 × 86069 × 123001 × 205619 × 94224596239
<11> ×
[405045904063186372140726385447771066691325552013694404254887504131567891074173638922351709753665589634990466972683860490101247364745137363575757617576020282498383781110348900599494211540201582538986136553360689860329913104321451144939473723453054168468929071<258>]
Free to factor
9×10294-8 = 8
(9
)2932
<295> = 2
3 × 65183 × 212477201 × 263320760783
<12> × 17278140373254683119
<20> ×
17853515374436474684682860987161657059809183224346032622616592258675664237923235175282807597493084557852913891057862091767670189065327844573213812847045314737506867492940456981216798808181451311864210013709584659069097682920778442781908055065703729489<251>
9×10295-8 = 8
(9
)2942
<296> = 2
3 × 1991788496522534641199
<22> × 479549472475325777582899
<24> × 1345044454287054810445310048975506199
<37> ×
[8756675312723113448303301948111429184647922271848216030702962341810136289875674257958055421657078175478149820103051122010384072001394044357271434595964940604884513449720000889874200595546062887356964646463593920301<214>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1296388628 for P37 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10296-8 = 8
(9
)2952
<297> = 2
3 × 17 × 41 × 311 × 2879385295918415914765001
<25> ×
[180243483729634241237086099543790463927789295389287988593977346584456051799662447344395992006907885430015235784334171860239782285760505530059390148699910474964516037171098946790472446135294159064288810210310881675580179664287652600142176681889698115362603939693475897<267>]
Free to factor
9×10297-8 = 8
(9
)2962
<298> = 2
3 × 61 × 1750096313192549372589828056441851
<34> ×
[10538061712258789816751772017763871560702511777391805116015443340142452702237953686594877897968696852052017922192828393752487517028337444261586867274276389388994641183869284647582131225155001060972525024057064775659338273413697829025267744206150897113831489145809<263>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:115724700 for P34 /
December 19, 2022 2022 年 12 月 19 日)
Free to factor
9×10298-8 = 8
(9
)2972
<299> = 2
3 × 7 × 40729823 × 61511137 ×
[641487509921129549575202696436974461900121595191350706579991961906914477611426303114284729804590730014124651603079637407481778667852046736465170593006985435356821105996556904586611189116129780649843590902501590328439250176196472239708220673668561503814393117622022038364884024871607<282>]
Free to factor
9×10299-8 = 8
(9
)2982
<300> = 2
3 × 109857198690959
<15> × 12773503993626809
<17> × 9698022035112420720731
<22> ×
8266673541293974581475874653364170626615030069003513093454105164690841551310478696605631788402654324257378895152833040145277741758115303706998848719891159848154007765283323680850668802127653807288269878752338335310331603524068511444134861274360859<247>
9×10300-8 = 8
(9
)2992
<301> = 2
3 ×
1124999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<301>