69w8 = { 68, 698, 6998, 69998, 699998, 6999998, 69999998, 699999998, 6999999998, 69999999998, … }
7×105-2 = 699998 = 2 × 13
2 × 19 × 109
7×107-2 = 69999998 = 2 × 449 × 77951
7×108-2 = 699999998 = 2 × 349999999
7×109-2 = 6999999998
<10> = 2 × 23 × 152173913
7×1010-2 = 69999999998
<11> = 2 × 34999999999
<11>
7×1011-2 = 699999999998
<12> = 2 × 13 × 67 × 401836969
7×1012-2 = 6999999999998
<13> = 2 × 977 × 2749 × 1303163
7×1013-2 = 69999999999998
<14> = 2 × 34999999999999
<14>
7×1014-2 = 699999999999998
<15> = 2 × 349999999999999
<15>
7×1015-2 = 6999999999999998
<16> = 2 × 3389 × 4297 × 240342803
7×1016-2 = 69999999999999998
<17> = 2 × 43 × 813953488372093
<15>
7×1017-2 = 699999999999999998
<18> = 2 × 13 × 17 × 4729 × 334893298211
<12>
7×1018-2 = 6999999999999999998
<19> = 2 × 2242231 × 1560945326329
<13>
7×1019-2 = 69999999999999999998
<20> = 2 × 29 × 31 × 107 × 206419 × 1762685797
<10>
7×1020-2 = 699999999999999999998
<21> = 2 × 354031 × 988613991430129
<15>
7×1021-2 = 6999999999999999999998
<22> = 2 × 3499999999999999999999
<22>
7×1022-2 = 69999999999999999999998
<23> = 2 × 34999999999999999999999
<23>
7×1023-2 = 699999999999999999999998
<24> = 2 × 13 × 19 × 1686165329
<10> × 840370765673
<12>
7×1024-2 = 6999999999999999999999998
<25> = 2 × 61 × 43346480791
<11> × 1323684140749
<13>
7×1025-2 = 69999999999999999999999998
<26> = 2 × 487 × 71868583162217659137577
<23>
7×1026-2 = 699999999999999999999999998
<27> = 2 × 4512754633
<10> × 77557950401421703
<17>
7×1027-2 = 6999999999999999999999999998
<28> = 2 × 71547869 × 48918298321365797771
<20>
7×1028-2 = 69999999999999999999999999998
<29> = 2 × 367 × 4643 × 20540135130614719295579
<23>
7×1029-2 = 699999999999999999999999999998
<30> = 2 × 13 × 270547 × 99513492750157728886009
<23>
7×1030-2 = 6999999999999999999999999999998
<31> = 2 × 66310787 × 52781759323713048376277
<23>
7×1031-2 = 69999999999999999999999999999998
<32> = 2 × 23 × 1521739130434782608695652173913
<31>
7×1032-2 = 699999999999999999999999999999998
<33> = 2 × 383419 × 912839478481765379389127821
<27>
7×1033-2 = 6999999999999999999999999999999998
<34> = 2 × 17 × 97 × 1549 × 28053679 × 5034688553
<10> × 9701380477
<10>
7×1034-2 = 69999999999999999999999999999999998
<35> = 2 × 31 × 4973 × 227032426717175976077268864773
<30>
7×1035-2 = 699999999999999999999999999999999998
<36> = 2 × 13 × 26923076923076923076923076923076923
<35>
7×1036-2 = 6999999999999999999999999999999999998
<37> = 2 × 163 × 21472392638036809815950920245398773
<35>
7×1037-2 = 69999999999999999999999999999999999998
<38> = 2 × 43 × 1061 × 5749 × 14407 × 874338887 × 10593477429087493
<17>
7×1038-2 = 699999999999999999999999999999999999998
<39> = 2 × 47 × 8431 × 130567316387
<12> × 6764825824079366631061
<22>
7×1039-2 = 6999999999999999999999999999999999999998
<40> = 2 × 59 × 449 × 487824443 × 1244551035683
<13> × 217617303078781
<15>
7×1040-2 = 69999999999999999999999999999999999999998
<41> = 2 × 69439 × 1927073 × 7777031 × 33631991901366942800407
<23>
7×1041-2 = 699999999999999999999999999999999999999998
<42> = 2 × 13 × 19 × 94529 × 1136201850857
<13> × 13193211816352642547089
<23>
7×1042-2 = 6999999999999999999999999999999999999999998
<43> = 2 × 887401 × 3944101933624145115905886966546127399
<37>
7×1043-2 = 69999999999999999999999999999999999999999998
<44> = 2 × 154549111877651909021
<21> × 226465228915113976396619
<24>
7×1044-2 = 699999999999999999999999999999999999999999998
<45> = 2 × 67 × 12601951 × 189601339 × 30193326854203
<14> × 72410756797891
<14>
7×1045-2 = 6999999999999999999999999999999999999999999998
<46> = 2 × 131 × 157 × 1667 × 447173 × 852031 × 267935665238958395202057257
<27>
7×1046-2 = 69999999999999999999999999999999999999999999998
<47> = 2 × 775314186799
<12> × 45142989249948731867123302240426801
<35>
7×1047-2 = 699999999999999999999999999999999999999999999998
<48> = 2 × 13 × 29
2 × 2147955863
<10> × 17565241800527
<14> × 848494849781884999003
<21>
7×1048-2 = 6999999999999999999999999999999999999999999999998
<49> = 2 × 2165141815144519917341
<22> × 1616522287601923356053185739
<28>
7×1049-2 = 69999999999999999999999999999999999999999999999998
<50> = 2 × 17 × 31 × 73509068941171
<14> × 903475764224952431302194688381547
<33>
7×1050-2 = 699999999999999999999999999999999999999999999999998
<51> = 2 × 179 × 18030758063
<11> × 108442876097495801790052384860086283787
<39>
7×1051-2 = 6
(9
)508
<52> = 2 × 547 × 64855225121
<11> × 98658781389014807838320872796780017877
<38>
7×1052-2 = 6
(9
)518
<53> = 2 × 443 × 3009769619400127
<16> × 26250106154229862716707475787284659
<35>
7×1053-2 = 6
(9
)528
<54> = 2 × 13 × 23 × 1229 × 362301593 × 2628904014184122552537781351230470939033
<40>
7×1054-2 = 6
(9
)538
<55> = 2 × 39209 × 82298599 × 9251039650328237
<16> × 117246339812502634330863397
<27>
7×1055-2 = 6
(9
)548
<56> = 2 × 34999999999999999999999999999999999999999999999999999999
<56>
7×1056-2 = 6
(9
)558
<57> = 2 × 268124407 × 38886920719
<11> × 33568206693690908232509715566846427703
<38>
7×1057-2 = 6
(9
)568
<58> = 2 × 3499999999999999999999999999999999999999999999999999999999
<58>
7×1058-2 = 6
(9
)578
<59> = 2 × 43 × 478679309 × 1572876989
<10> × 1081085828837032967692528029399726236293
<40>
7×1059-2 = 6
(9
)588
<60> = 2 × 13 × 19 × 4363 × 4184909 × 664642691 × 1153264579613
<13> × 101247118592701722354601697
<27>
7×1060-2 = 6
(9
)598
<61> = 2 × 887 × 1277 × 34531715503
<11> × 5436658048853
<13> × 16458996584942992240898523887639
<32>
7×1061-2 = 6
(9
)608
<62> = 2 × 1789 × 2099 × 14892675859
<11> × 59810068284466804487
<20> × 10464012019309696731381973
<26>
7×1062-2 = 6
(9
)618
<63> = 2 × 479 × 9421 × 3581099 × 297826556059
<12> × 72720319833695139939614724177832474621
<38>
7×1063-2 = 6
(9
)628
<64> = 2 × 1494939731
<10> × 2341231507479414231984178899316443413196033385776673829
<55>
7×1064-2 = 6
(9
)638
<65> = 2 × 31 × 37908259231
<11> × 8362093591332372971
<19> × 3561701216940814922077942168082429
<34>
7×1065-2 = 6
(9
)648
<66> = 2 × 13 × 17
2 × 147174434998130177951
<21> × 632986535475219764819195490986199768965957
<42>
7×1066-2 = 6
(9
)658
<67> = 2 × 238673 × 4172741664191417
<16> × 55381294722382864070807
<23> × 63457089569327416301777
<23>
7×1067-2 = 6
(9
)668
<68> = 2 × 34999999999999999999999999999999999999999999999999999999999999999999
<68>
7×1068-2 = 6
(9
)678
<69> = 2 × 580595224110953
<15> × 50775149261723560733
<20> × 11872532757674471761027683944236051
<35>
7×1069-2 = 6
(9
)688
<70> = 2 × 2801 × 7411 × 313741 × 4060387 × 21795524444758151
<17> × 6072563902807392381611545889888677
<34>
7×1070-2 = 6
(9
)698
<71> = 2 × 7211 × 38237 × 75743 × 1675892800394036908659591910397259002609325919379561251199
<58>
7×1071-2 = 6
(9
)708
<72> = 2 × 13 × 449 × 530453683 × 4913529370712297
<16> × 23005799236045891873688156345280966969961777
<44>
7×1072-2 = 6
(9
)718
<73> = 2 × 107 × 75450086531
<11> × 433535359305282964287533421798513118640947140110331536646847
<60>
7×1073-2 = 6
(9
)728
<74> = 2 × 5431 × 1999552375604670163
<19> × 2530618487960076251
<19> × 1273587478673700005890938756771833
<34>
7×1074-2 = 6
(9
)738
<75> = 2 × 229 × 1528384279475982532751091703056768558951965065502183406113537117903930131
<73>
7×1075-2 = 6
(9
)748
<76> = 2 × 23 × 29 × 1231835026215329
<16> × 9908627524267896059
<19> × 429908625367232773944435738334361059927
<39>
7×1076-2 = 6
(9
)758
<77> = 2 × 6449 × 1538083 × 9531377 × 57467661949
<11> × 181485694721
<12> × 35495583594551112203087137197333546809
<38>
7×1077-2 = 6
(9
)768
<78> = 2 × 13 × 19 × 67 × 185153 × 436172380067
<12> × 6621972363779
<13> × 39547588821955598456812837090736985220453019
<44>
7×1078-2 = 6
(9
)778
<79> = 2 × 3499999999999999999999999999999999999999999999999999999999999999999999999999999
<79>
7×1079-2 = 6
(9
)788
<80> = 2 × 31 × 43 × 149 × 4603 × 8807 × 8526949 × 509787274006510043315203365984588079572994920234412541063143
<60>
7×1080-2 = 6
(9
)798
<81> = 2 × 1186058026809662317
<19> × 295095174172424981797674569868820214490949904906946369301928347
<63>
7×1081-2 = 6
(9
)808
<82> = 2 × 17 × 199 × 2270418329
<10> × 3056861031787519739753
<22> × 149068014418643959725215262769858909618229789369
<48>
7×1082-2 = 6
(9
)818
<83> = 2 × 1237 × 53591 × 135799 × 7054759 × 67935119131943215217627
<23> × 8112101729127335674772135688697258785871
<40>
7×1083-2 = 6
(9
)828
<84> = 2 × 13
2 × 2273 × 45427 × 1384727 × 25659933757
<11> × 601802139581429341
<18> × 937981836079241449246989486884374862899
<39>
7×1084-2 = 6
(9
)838
<85> = 2 × 47 × 61 × 1220788280432507847924659923264736658528078130449947680502267178235088943146145797
<82>
7×1085-2 = 6
(9
)848
<86> = 2 × 4481 × 7517 × 1039078958036558775931736906276592071584108825173688727629112462989120813621387
<79>
7×1086-2 = 6
(9
)858
<87> = 2 × 401 × 1637 × 15679 × 3768161762398819103
<19> × 9024581969941765189489918018131199399044358927732415130371
<58>
7×1087-2 = 6
(9
)868
<88> = 2 × 263 × 13463 × 73597 × 1611217 × 8335973067850847891207703623474551643990282914273942072376395807874779
<70>
7×1088-2 = 6
(9
)878
<89> = 2 × 3257 × 325783 × 1122103 × 29396061282249821010037464324849038873544466568003455547126476342049866343
<74>
7×1089-2 = 6
(9
)888
<90> = 2 × 13 × 1319 × 112589 × 841879218811600379717
<21> × 215344679068223940824655769490557832736532506296125174016909
<60>
7×1090-2 = 6
(9
)898
<91> = 2 × 1021 × 277549 × 1223431468001
<13> × 55415866435787482582663
<23> × 182175034573722509166898526230694214602145700337
<48>
7×1091-2 = 6
(9
)908
<92> = 2 × 719 × 16004453 × 103129186150242603931252031813
<30> × 29492849051044346725109302721606999073513521303289689
<53>
7×1092-2 = 6
(9
)918
<93> = 2 × 113 × 13721 × 225737565246218412058771742558561161658410046482589506557031305930512817701436916347463
<87>
7×1093-2 = 6
(9
)928
<94> = 2 × 6779 × 4351693 × 118643557641377758106966691715120542783203714540963444827454710910246954844220978817
<84>
7×1094-2 = 6
(9
)938
<95> = 2 × 31 × 1129032258064516129032258064516129032258064516129032258064516129032258064516129032258064516129
<94>
7×1095-2 = 6
(9
)948
<96> = 2 × 13 × 19 × 83509384001
<11> × 11295921371136581
<17> × 1502152933542378780770084634549074565254446110787929792972855544357
<67>
7×1096-2 = 6
(9
)958
<97> = 2 × 2396197 × 388764494663
<12> × 3757153422256239262987921786854874409197310185639150584075417870263310504975509
<79>
7×1097-2 = 6
(9
)968
<98> = 2 × 17 × 23 × 59 × 14293 × 16644253 × 743593472299
<12> × 425723474273839322657
<21> × 10659556059846913471657
<23> × 1889945534810355174460235449
<28>
7×1098-2 = 6
(9
)978
<99> = 2 × 379 × 461 × 5437 × 34119789127903
<14> × 720477307451157212101
<21> × 14987939487155682593599792155331046576790440035932039311
<56>
7×1099-2 = 6
(9
)988
<100> = 2 × 311 × 7243124950781278142081
<22> × 1553751919106488587512595125312509833208016407024827847049382752683224740089
<76>
7×10100-2 = 6
(9
)998
<101> = 2 × 43 × 1069 × 159279897421140805511
<21> × 49245050549620672566088712157312539
<35> × 97072972536613376945813721041211448568293
<41>
7×10101-2 = 6
(9
)1008
<102> = 2 × 13 × 1252151 × 1058371967
<10> × 697956182940791
<15> × 29107271732402003802484495590336190822940235415372560419568634014382709
<71>
7×10102-2 = 6
(9
)1018
<103> = 2 × 24545912957775622181427926292046337803646912476351
<50> × 142589929574865317068984038773130630094949457182278849
<54>
7×10103-2 = 6
(9
)1028
<104> = 2 × 29 × 449 × 129879011 × 1045648003
<10> × 19792434672535781398374929334869814108125520537135848381397347943672716986022007443
<83>
7×10104-2 = 6
(9
)1038
<105> = 2 × 60709667 × 5765144453847852599817422816699027520608867777186127540445906250811752928903398531242149623386997
<97>
7×10105-2 = 6
(9
)1048
<106> = 2 × 1811 × 16245650269
<11> × 4935137033937527
<16> × 24105340925690019370343213297172675918362811489753663318670534288715477781343
<77>
7×10106-2 = 6
(9
)1058
<107> = 2 × 347 × 4529081 × 27952499 × 67351301 × 11829376426668986330581195735864585922299043260486483627110728872324276971577084843
<83>
7×10107-2 = 6
(9
)1068
<108> = 2 × 13 × 1399 × 1423 × 14419 × 396001 × 7748449 × 305843227 × 999440643959120863174298912187872451249648187786352639471440585204345228627
<75>
7×10108-2 = 6
(9
)1078
<109> = 2 × 223 × 439 × 9428182151
<10> × 137610472681948926124098971
<27> × 27556192503076581186909426189637597731229649996443447412344112911027
<68>
7×10109-2 = 6
(9
)1088
<110> = 2 × 31 × 257 × 191057 × 144694061 × 115617061548612234605232191683
<30> × 1374477515744482678995930795941779310005954746590695054962249767
<64>
7×10110-2 = 6
(9
)1098
<111> = 2 × 67 × 244597 × 1586349896245617823
<19> × 61121537516064326749386052848431
<32> × 220266707769714612021558872952806749655400256295153777
<54>
7×10111-2 = 6
(9
)1108
<112> = 2 × 701 × 112746061 × 8371248225956669104895155597
<28> × 5290033576580994142691555264381672932640666532420593072379318872982375347
<73>
7×10112-2 = 6
(9
)1118
<113> = 2 × 3691 × 30119 × 42223 ×
7456488689142891882814223053417019295894838441016946005733206511218257654948755080609255828035484597<100>
7×10113-2 = 6
(9
)1128
<114> = 2 × 13 × 17 × 19 × 109 × 4793 × 16831 × 143423297 × 91239525919
<11> × 33654330547520043073
<20> × 21524577967292348113919833860962186588760008462484389906593397
<62>
7×10114-2 = 6
(9
)1138
<115> = 2 × 1065629 × 148371775170696457
<18> × 386278178055029271056503
<24> × 57307379040198530384049547833751204927177545290998569725835236439461
<68>
7×10115-2 = 6
(9
)1148
<116> = 2 ×
34999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<116>
7×10116-2 = 6
(9
)1158
<117> = 2 × 9343 × 1562613314849333
<16> × 23973429986215640529970058379651159898939163183721632293749982928505051842044025877244026551294621
<98>
7×10117-2 = 6
(9
)1168
<118> = 2 × 163 × 1170661 × 7441691 × 7958749 × 68944571908603622159
<20> × 4491927820703793951542755268275792805968181985799090984306048143302238760753
<76>
7×10118-2 = 6
(9
)1178
<119> = 2 × 181 × 349 × 89416937 × 21058410971439072429012250061
<29> × 2506554956004860852098423136141919961
<37> × 117392790352612267785433394603026676209723
<42>
7×10119-2 = 6
(9
)1188
<120> = 2 × 13 × 23 × 541 × 5039 × 1282381 × 37176137 × 11902391513
<11> × 756727760204601433008059493149267412090051998810376673775629310491254571976741226434059
<87>
7×10120-2 = 6
(9
)1198
<121> = 2 × 5333 × 9349947439716061
<16> ×
70191947325916414042551648915000497865568729104078356650461801830847676420684339237083091650335622623<101>
7×10121-2 = 6
(9
)1208
<122> = 2 × 43 × 3659 × 37357410894581
<14> × 2465722052096810794927046569
<28> × 2414995304929480052218819898717611064281855255973648169479978118060238356643
<76>
7×10122-2 = 6
(9
)1218
<123> = 2 × 573304169832567752405089
<24> × 610496170125915438417737624081908238066731515362108573847125810567149865194459878785757310834052191
<99>
7×10123-2 = 6
(9
)1228
<124> = 2 × 157 × 17669 × 2701009586515090931
<19> × 93968662162188179563227325069819796188573
<41> × 4971039931610312342847416183488782149088517768093798090681
<58>
7×10124-2 = 6
(9
)1238
<125> = 2 × 31 × 1082810357
<10> × 16341370251572382334474003
<26> × 38887867322850943883524217
<26> × 1640783775651244431273283899346310069810650227286609402389779047
<64>
7×10125-2 = 6
(9
)1248
<126> = 2 × 13 × 107 × 2677 × 69033304489909202831
<20> ×
1361550896486726922123717982912572630151758603438881627224269083812098478809588292616349823681498147<100>
7×10126-2 = 6
(9
)1258
<127> = 2 × 1579 × 83389 × 411833 × 2334797022179361499935007184894384373722199601268077
<52> × 27644381281523616711669538489365133677994308966658180170686669
<62>
7×10127-2 = 6
(9
)1268
<128> = 2 × 513727 × 140749554678856939883
<21> ×
484048215425528832370815420983761958991325761715608529529272281225750732820673366252907070118320574339<102>
7×10128-2 = 6
(9
)1278
<129> = 2 × 293 × 630914846808725137
<18> ×
1893344648947383096724114923306080809166204192826637381666833646563777587359301839143349915713274624028229539<109>
7×10129-2 = 6
(9
)1288
<130> = 2 × 17 × 97 × 2647 × 10876459076764342970888131107997
<32> × 73723495288133585155795065118671300124919669958227928228026954659957010247898932299847704189
<92>
7×10130-2 = 6
(9
)1298
<131> = 2 × 47 × 343273936699
<12> × 13999632054137
<14> × 270977889312576649089887290429644992119
<39> × 571845724919044796526327985491618821883115609225826417954172336061
<66>
7×10131-2 = 6
(9
)1308
<132> = 2 × 13 × 19 × 29 × 38891 × 3095070623
<10> × 1721819354181999785701
<22> × 5242808621278426190258123367480073601
<37> × 44967819563589660061331071377644469397428685370434787461
<56>
7×10132-2 = 6
(9
)1318
<133> = 2 × 1747 × 152369679323
<12> × 940861362684384787460291
<24> × 13974972167731901815819163344780880493384919639901915194541628761759357652288096350759371358869
<95>
7×10133-2 = 6
(9
)1328
<134> = 2 × 919519 × 823188002048725596287
<21> × 17493184825734633231060402770917
<32> × 198119670906226660639532274681791
<33> × 13341720008872690497157716602413496654664589
<44>
7×10134-2 = 6
(9
)1338
<135> = 2 × 4423 × 6229 × 625589 × 694029876735290676766848855321817
<33> × 29259405914216078712661595353153661529815229614962657699154689190506171701126517158103769
<89>
7×10135-2 = 6
(9
)1348
<136> = 2 × 449 × 53051 ×
146935971474942022214283948055363291003039097688869293694318351223907372571143143805941410582807257075271393887942178092358829901<129>
7×10136-2 = 6
(9
)1358
<137> = 2 × 491 × 151771 × 5172227 × 50599162884388267610450007267637
<32> × 1794637951553207067093716161782273147664616165120720876399295234553867112323548051930599641
<91>
7×10137-2 = 6
(9
)1368
<138> = 2 × 13 × 48641471237628943
<17> × 359180986546586166732601613
<27> × 36844075612637897142992444421968053
<35> × 41825099786916581493127526854537579795327715317395011514149
<59>
7×10138-2 = 6
(9
)1378
<139> = 2 × 297707 × 38543183534472223
<17> × 211730716233638260876519751939011
<33> × 9261841913906146424351274517871350766023
<40> × 155542897327708032269051626202222319390886103
<45>
7×10139-2 = 6
(9
)1388
<140> = 2 × 31 × 10059443 × 427117276045019009
<18> × 936748190062150475436236300512963
<33> × 280519086272790559745062596965029408586023034751786321625323965113564110272444809
<81>
7×10140-2 = 6
(9
)1398
<141> = 2 × 298691 × 13058855747654627998460357
<26> × 55875798985793705624726044475522445281951495221849
<50> × 1605894595912541953157461655270295338955002587489111582743673
<61>
7×10141-2 = 6
(9
)1408
<142> = 2 × 23 × 1973 × 376488544970659585811267226353633827827472157932422373
<54> × 204861975423137073958158320074921016217268473450971047314220665963147289363023949297
<84>
7×10142-2 = 6
(9
)1418
<143> = 2 × 43 × 547 ×
1488031971429786148548105947876365800773776625143488797245015092895710216402363845074614174567407848305769312529229199438799370775052081119<139>
7×10143-2 = 6
(9
)1428
<144> = 2 × 13 × 67 × 30781 × 2249734717524199
<16> ×
5802776640735810933410116931648548296627405111776287228071021851385917917435738445815553344932846757814999223425591991451<121>
7×10144-2 = 6
(9
)1438
<145> = 2 × 61 × 503 × 1523 × 30447774765917
<14> × 112359392318737694050639
<24> × 4786429061699675616478981348784169399305159
<43> × 4573974659129133148728511496753974913675197977489918024883
<58>
7×10145-2 = 6
(9
)1448
<146> = 2 × 17 × 902780621167438299400639311241434603771732511305552588995131549511
<66> × 2280535803647822951216507313061523161615231865364847671359152924048303719632377
<79>
7×10146-2 = 6
(9
)1458
<147> = 2 × 773 × 6558169 × 10588120192267404334195828936193383106512409239602961
<53> × 6520592856340157390219883107844976664693279432634516584688947978533983089415336987707
<85>
7×10147-2 = 6
(9
)1468
<148> = 2 × 827 × 1446222851
<10> × 1668667199
<10> × 13123911937
<11> × 888470671883329099
<18> × 150401158792868642659389629142527428556110247505779949142246926765067209093212651793811588518072851
<99>
7×10148-2 = 6
(9
)1478
<149> = 2 × 161921 × 1856800558986366727019694527872556664337
<40> ×
116412498094110212216093416663843738857818493017299783739007455608593617495985647825452409238109412492687<105>
7×10149-2 = 6
(9
)1488
<150> = 2 × 13 × 19 × 26339 × 330036095271833163325461910733768611748980036568742814539581
<60> × 163008544097132606205889519744487880914752620016250863905562984007282629405070038063
<84>
7×10150-2 = 6
(9
)1498
<151> = 2 × 2753 × 203386526545811113
<18> ×
6250858292173748773442717911801173462387098525784655578299082829871927840997816880932000947703555047131346335953957757818473361191<130>
7×10151-2 = 6
(9
)1508
<152> = 2 × 313 × 75536316313
<11> ×
1480361920200444374970410632763007080868729276119285996526731799774195654323472112724027714538608138002850839716730772868232690085746329871<139>
7×10152-2 = 6
(9
)1518
<153> = 2 × 58309 × 1328721400512183275527
<22> ×
4517503744060828848741260614829885931905386295981915601049708753072054939891723070775023765501607767255451556628658731280218293<127>
7×10153-2 = 6
(9
)1528
<154> = 2 × 3079 × 246207760827857
<15> × 104427088196134311070429112190957484047660704257
<48> × 44212334645825977548010675054843097342833538925138614896325716411162155758338488421483769
<89> (Dmitry Domanov / Msieve 1.54 snfs for P48 x P89 /
September 10, 2021 2021 年 9 月 10 日)
7×10154-2 = 6
(9
)1538
<155> = 2 × 31 × 4337 × 163656820483609389100949007658899631061776351558807982230074144504097
<69> × 1590679993688647498496080192934014246068359476888203889870646551303908370507954961
<82> (ivelive / for P69 x P82 /
September 10, 2021 2021 年 9 月 10 日)
7×10155-2 = 6
(9
)1548
<156> = 2 × 13 × 59 × 127118139084032364271889
<24> × 1763097728818780923366140757374048817154293390335394417163609
<61> × 2036051542418738824595485898698627885739941023895490284750216517259097
<70> (ivelive / for P61 x P70 /
September 10, 2021 2021 年 9 月 10 日)
7×10156-2 = 6
(9
)1558
<157> = 2 × 167 × 1063 × 8337036739753
<13> × 27193692971004551699
<20> × 27352867399864061320828018802438112506343549161672136937
<56> × 3179329526269204991636189706889188968810756111770289479348166821
<64> (ivelive / for P56 x P64 /
September 10, 2021 2021 年 9 月 10 日)
7×10157-2 = 6
(9
)1568
<158> = 2 × 619 × 3089 ×
18304568140323865339045055909995915466366402017477201660381226625720219382864100087286640646287232145331995182237665466758642763341284489075049252362989<152>
7×10158-2 = 6
(9
)1578
<159> = 2 × 7159 ×
48889509708059784886157284536946500907948037435396005028635284257577874004749266657354379103226707640731945802486380779438469059924570470736136331889928761<155>
7×10159-2 = 6
(9
)1588
<160> = 2 × 29 × 108623968305768041155658453349479
<33> × 62571601463573758093661031309859032069891725048641810199
<56> × 17756898463681502246736693214198209695824286301851638617459743477510411
<71> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2453079492 for P33 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P71 /
September 13, 2021 2021 年 9 月 13 日)
7×10160-2 = 6
(9
)1598
<161> = 2 × 21379 ×
1637120538846531643201272276533046447448430703026334253239159923289209036905374432854670471022966462416389915337480705365077880162776556433883717666869357781<157>
7×10161-2 = 6
(9
)1608
<162> = 2 × 13
2 × 17 × 140253695536139
<15> × 6671554886164629061163385994060040969155543186603374130932054373
<64> × 130194021467565491079571988996473814774601359521411292614290114090704785184370529
<81> (Eric Jeancolas / cado-nfs-3.0.0 for P64 x P81 /
September 13, 2021 2021 年 9 月 13 日)
7×10162-2 = 6
(9
)1618
<163> = 2 × 1393030767233459201
<19> × 272045518170798597726133
<24> × 50644631385106522828033512332985082439443194500388409
<53> × 182361159870361513315843569603376874782101193268029752364573973663867
<69> (Eric Jeancolas / cado-nfs-3.0.0 for P53 x P69 /
September 13, 2021 2021 年 9 月 13 日)
7×10163-2 = 6
(9
)1628
<164> = 2 × 23 × 43 × 32633 × 210031 × 32721279490327
<14> × 255349249096869218694563633287531
<33> × 31057259873404190120112936337279251145114741
<44> × 19897721737239039849010158055158464339371551437697980943511501
<62> (Eric Jeancolas / ECM for P33 x P44 x P62 /
September 8, 2021 2021 年 9 月 8 日)
7×10164-2 = 6
(9
)1638
<165> = 2 × 2003 × 57379659039473
<14> × 114035346690079
<15> × 226235919926249
<15> × 4708216986450634384639498663
<28> × 5365058307695595548728122254423455037
<37> × 4673014930078797599265120091930687794878695853461118521
<55> (Eric Jeancolas / ECM for P37 x P55 /
September 8, 2021 2021 年 9 月 8 日)
7×10165-2 = 6
(9
)1648
<166> = 2 × 173137 ×
20215205299849252326192552718367535535443030663578553399908742787503537660927473619157083696725714318718702530366126246844984029987813119090662307883352489646927<161>
7×10166-2 = 6
(9
)1658
<167> = 2 × 671501 × 2707034083183
<13> × 25495586936525862784208237
<26> × 5829472920741656126240530945755173384450854136176601
<52> × 129548787667016425672321247828177132796154483513165792846887125524095569
<72> (Eric Jeancolas / cado-nfs-3.0.0 for P52 x P72 /
September 13, 2021 2021 年 9 月 13 日)
7×10167-2 = 6
(9
)1668
<168> = 2 × 13 × 19 × 449 × 112859 × 4398197 × 141537601 × 44149100389
<11> × 51533999012536364687591271279157
<32> × 131332708657589927363656383523135908786733
<42> × 150332693683900761669022962692127200392911473926678394656019
<60> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2323617958 for P32 /
September 8, 2021 2021 年 9 月 8 日) (Dmitry Domanov / Msieve 1.54 gnfs for P42 x P60 /
September 10, 2021 2021 年 9 月 10 日)
7×10168-2 = 6
(9
)1678
<169> = 2 × 3706406637075228646177
<22> × 650364965954919118376414531693513
<33> ×
1451970660966153531238734105202404034751193242505529154883198357786239018763815069568697862422953270464309235109799<115> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:856701163 for P33 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / ECM for P115 /
September 8, 2021 2021 年 9 月 8 日)
7×10169-2 = 6
(9
)1688
<170> = 2 × 31 × 2269818767226851863303273
<25> × 766674489199491098389247083734797701
<36> × 4188179968664922961598237513341767271
<37> × 154909773943705810331834989549491066484933314533767134908470061602705363
<72> (Eric Jeancolas / ECM for P36 x P37 x P72 /
September 8, 2021 2021 年 9 月 8 日)
7×10170-2 = 6
(9
)1698
<171> = 2 × 1873 × 8783 × 696873308786158047761659760551047935167
<39> ×
30530474456076179241928123056719615754726800850522568456616347539762742077026988199940911525559847718699955676738888462513983<125> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3255094304 for P39 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / ECM for P125 /
September 8, 2021 2021 年 9 月 8 日)
7×10171-2 = 6
(9
)1708
<172> = 2 × 41257 × 272779913086551291851945716171
<30> × 1629622773308159104470926183684277281
<37> ×
190840667743402899807846708783239809178237623981841572233996971409043011489259620157760571055725736757<102> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2241077648 for P30 x P102 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:358410608 for P37 /
September 8, 2021 2021 年 9 月 8 日)
7×10172-2 = 6
(9
)1718
<173> = 2 × 34792789 × 361226205149
<12> × 1157653997220667
<16> × 211339995027271065453670574573
<30> ×
11382537344184398199056059362191460485292625622507261633832428346349092602803886142403121913664686360828579649<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4078144918 for P30 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / ECM for P110 /
September 8, 2021 2021 年 9 月 8 日)
7×10173-2 = 6
(9
)1728
<174> = 2 × 13 × 1283129 × 58365320525840849196990571
<26> ×
359500498206430418717942031032994665575964767432730939328192116603635675122459490628125936962981447479448198564725041266716431202557242799097<141>
7×10174-2 = 6
(9
)1738
<175> = 2 × 101411 × 721176761 × 24785755429165539876799633664217865828005070001
<47> × 330797381072030726410614292954945353799681014925089978127
<57> × 5836829842821189452232772277678845607594631824045271407747
<58> (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P57 x P58 /
September 14, 2021 2021 年 9 月 14 日)
7×10175-2 = 6
(9
)1748
<176> = 2 × 131 × 857 × 619055097940343111
<18> ×
503601044734987033557562967056085847489660067005298320680263771226489672629144903356956699693368238213781353376876429265764431259871059607947328445962427<153>
7×10176-2 = 6
(9
)1758
<177> = 2 × 47 × 67 × 35452343 × 8333840543147815291
<19> × 9143787015317131354057423751396649089830423
<43> × 10403136604632450811913465984228321883251911
<44> × 3954711910534860707618802003465053363624300426985786924502759
<61> (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P44 x P61 /
September 14, 2021 2021 年 9 月 14 日)
7×10177-2 = 6
(9
)1768
<178> = 2 × 17 × 23873 × 182510483 × 4307069333259019
<16> × 11357187645409201
<17> × 155333914492440451
<18> × 14211144885743206672571
<23> × 78137524218742286628544953336511403143333613
<44> × 5600369035679380116624034073317577286628932607259
<49> (Dmitry Domanov / YAFU/SIQS for P44 x P49 /
September 10, 2021 2021 年 9 月 10 日)
7×10178-2 = 6
(9
)1778
<179> = 2 × 107 × 248473 × 261637 × 747557 × 15020798183
<11> × 186509664931
<12> × 2192354685570203804560323450724786743719
<40> × 214950100537508323203672918743333858076544856633
<48> × 5098222289692960694339030723136532695129207789599831
<52> (Eric Jeancolas / cado-nfs-3.0.0 for P40 x P48 x P52 /
September 14, 2021 2021 年 9 月 14 日)
7×10179-2 = 6
(9
)1788
<180> = 2 × 13 × 3067 × 18307 × 27191 × 30929446178601463069918690796466249619473942342805465662413219681
<65> ×
570159560519726090829590555986020624419378446180924594568151201787803869318053061212525039250318100877<102> (Eric Jeancolas / cado-nfs-3.0.0 for P65 x P102 /
September 15, 2021 2021 年 9 月 15 日)
7×10180-2 = 6
(9
)1798
<181> = 2 × 199 × 66071 × 70067 × 11053169 × 17238097 × 707368709698536229902221
<24> ×
28188280817310998444700090671250800170453380014401417857451286734634726327687960079933656287725204350976863870653087176702721805881<131>
7×10181-2 = 6
(9
)1808
<182> = 2 × 6392457278012674334799769
<25> ×
5475202801962410775863036605601674141060278070418665314305914518756617386259628971709629518982762359477268052669812800869556004192449175228186102702357795671<157>
7×10182-2 = 6
(9
)1818
<183> = 2 × 269 × 2843 × 70486707299
<11> × 44608661728751996567
<20> × 3619522115278338772561
<22> ×
40212516503924016154269129238277579170541782131990502459690312855548671865407267686396719178080622443486916960101503644843069<125>
7×10183-2 = 6
(9
)1828
<184> = 2 × 21023 × 21753073 × 2891768353
<10> × 42422462883550087626383
<23> × 19024155977878035778884976728389
<32> × 704046292448842613898177921719138298710876593
<45> × 4657863357525173244586305458624234020119698960566894634357351747
<64> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:78379294 for P32 /
September 8, 2021 2021 年 9 月 8 日) (Dmitry Domanov / Msieve 1.54 gnfs for P45 x P64 /
September 11, 2021 2021 年 9 月 11 日)
7×10184-2 = 6
(9
)1838
<185> = 2 × 31 × 43 × 157411 × 58974729103211303209
<20> ×
2828374169693026511632878347199841368981995715751093328287360848384669881967723090196226809411911401317886736504693170761361234264885071889232369665111062297<157>
7×10185-2 = 6
(9
)1848
<186> = 2 × 13 × 19 × 23 × 677 × 1153 × 2221 × 181721 × 21027009937
<11> ×
9300238427019781878221000368754630277303215970557955213781296015954263686621963107947630731900328390733191869857989867049927196429524103920807162699791114327<157>
7×10186-2 = 6
(9
)1858
<187> = 2 × 19463 × 1359557951
<10> × 3578515111
<10> × 3898908046018333
<16> ×
9480138659565441848496918298277392269095684983545919528304190112423854224067373505660180535107421601238975280513182012564552558385623952649519622821<148>
7×10187-2 = 6
(9
)1868
<188> = 2 × 29 × 482021 × 1398151 × 119526016869338213460995068656046397
<36> × 796882746243925099288658918059426220237295864072859427037343
<60> × 18801527683970010408748474515679461887334424755471705167154110321992384924531091
<80> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1642671849 for P36 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / cado-nfs-3.0.0 for P60 x P80 /
September 15, 2021 2021 年 9 月 15 日)
7×10188-2 = 6
(9
)1878
<189> = 2 × 1511 × 4054536877
<10> × 31765114994746940859644695267427281
<35> × 2693458231180036822959360269212907638092292440663403503943274346053
<67> × 667731167619916473989340866047707820152766153739861333348571201413988781369
<75> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1239896728 for P35 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / cado-nfs-3.0.0 for P67 x P75 /
September 18, 2021 2021 年 9 月 18 日)
7×10189-2 = 6
(9
)1888
<190> = 2 × 24203 × 221702189 × 24423673722541
<14> × 130511931315467662345290769109
<30> ×
204629223566567892111889550184039598467595863605406585422900856444468400908963979516315991851129563566965858158425483846066816795965313<135> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3905854437 for P30 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / ECM for P135 /
September 8, 2021 2021 年 9 月 8 日)
7×10190-2 = 6
(9
)1898
<191> = 2 × 193 × 1787 × 88734672744251
<14> × 314282126149279151911
<21> ×
3638925366133123857919837604933529214809686989046973684132984178166517272265308625302987783489315632528151697513040023710429606180048021505405829178449<151>
7×10191-2 = 6
(9
)1908
<192> = 2 × 13 × 38237 × 14762513 × 1397580827359
<13> ×
34127435440060803484740611128511148931977112142004050405939041318246203512971712913128985208341095267745573506177339200431180763637919714440762890040082936580013176537<167>
7×10192-2 = 6
(9
)1918
<193> = 2 × 5101 × 41796379 × 21444524053973
<14> ×
765521954482610405247975529638080247218916253478732484269679781205384051420070697771385735001592798806317172952507691681410452894936799166463014277364433847874125699197<168>
7×10193-2 = 6
(9
)1928
<194> = 2 × 17 × 1433 × 19447 × 5987959 × 137990426383613
<15> × 127762635485951636247599371650088651949335567599107
<51> ×
699823757735370218380170402300701332191861693852807864262223386267157190779683174656927131325366497307196583243713<114> (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P114 /
September 19, 2021 2021 年 9 月 19 日)
7×10194-2 = 6
(9
)1938
<195> = 2 × 2341 × 246157963 × 1914337175129
<13> ×
317273871555208441199264941541360260894413804308905366238603407648634481097841327100461986963047702966539131594648435257956742490834664931272592394809577717065845677939457<171>
7×10195-2 = 6
(9
)1948
<196> = 2 × 8664995189
<10> × 180466176959
<12> × 261001783230863993
<18> ×
8575519239819984447832033931764956062994238712357322187542700986575364483122319832823788387384819832639567063840428862581407760970456929166107368847381869893<157>
7×10196-2 = 6
(9
)1958
<197> = 2 × 97543177942565829885601
<23> × 1340861660354410045378907
<25> ×
267600654049277647860587825795326229339092308999998381766344279241153333773291324037378171384681677942730928013944252462142972901984375461675580799757<150>
7×10197-2 = 6
(9
)1968
<198> = 2 × 13 × 389 × 17804648440354241
<17> ×
3887242979984900242224785583055844874296986548724837249844498072741808785893699163018998550373875013094497011828948237605066370526740332787345602359374629510969743796440084691327<178>
7×10198-2 = 6
(9
)1978
<199> = 2 × 163 ×
21472392638036809815950920245398773006134969325153374233128834355828220858895705521472392638036809815950920245398773006134969325153374233128834355828220858895705521472392638036809815950920245398773<197>
7×10199-2 = 6
(9
)1988
<200> = 2 × 31 × 449 × 2556937591604178080935873904419646688509638145950858319
<55> ×
983421913463062663053872680104240048471939007654154816186664814024553505213561718282093154139945025418648062203489083945287096528421699412559<141> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P141 /
September 21, 2021 2021 年 9 月 21 日)
7×10200-2 = 6
(9
)1998
<201> = 2 × 683 × 941 × 3023 × 3361 × 407984257 × 3323935788778117851328313
<25> × 1330207783722267322305668827
<28> ×
29712250101889768118538280691922116145011066640893895159929424334255696752605745333122054986266302219350040540009754983015983573<128>
7×10201-2 = 6
(9
)2008
<202> = 2 × 157 × 62922883 ×
354290721716823566517816930001615279221673727288837460794546821510039347243109033846933405343941529877327806337608934379357766703517885414701800902688644678316678427315119181802958902914712729<192>
7×10202-2 = 6
(9
)2018
<203> = 2 × 233 × 8137061475065898630057063301
<28> × 7111799206761993006322099836613
<31> × 1886226015772684641732417154400687616301326172462424576287
<58> × 1376167538458619485319474706220673411145465383959886587790805587456415632219737422113
<85> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:350217318 for P31 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P85 /
October 27, 2021 2021 年 10 月 27 日)
7×10203-2 = 6
(9
)2028
<204> = 2 × 13 × 19 × 5680299436877395494226957
<25> × 9972816001326007995087099497
<28> × 6404151364048727424330820967166578146651923733179302193888763083167953
<70> × 3905894121478026998078042158128264565405386695805728836438297943927549117929541
<79> (Thomas Kozlowski / cado-nfs for P70 x P79 /
August 22, 2024 2024 年 8 月 22 日)
7×10204-2 = 6
(9
)2038
<205> = 2 × 61 × 113 × 11491236663346698854368377584150856432676997906084928843901578541361300733022577010620886673
<92> ×
44186845336728364144866658434363725630311911565695869031490361030404449157581140868710396547370393808178106091<110> (Bob Backstrom / Msieve 1.44 snfs for P92 x P110 /
October 4, 2023 2023 年 10 月 4 日)
7×10205-2 = 6
(9
)2048
<206> = 2 × 43 × 69001 × 9596810033
<10> × 120674510701156852205133421
<27> × 10932347017907204253962653219
<29> ×
931726291346068967557544038110268089339542287622455766216058398392685521163880608708152157328966906202145480784958720640273369819776979<135>
7×10206-2 = 6
(9
)2058
<207> = 2 × 4937 × 18979 × 12523854505428293764318823
<26> × 110647928108093717626960896821297805007525327
<45> ×
2695567997005516445566567509878035313003793957020949191291764083052405947276233055940607624999645719173854999930175893075695185253<130> (Ignacio Santos / GMP-ECM B1=11000000 for P45 x P130 /
February 27, 2024 2024 年 2 月 27 日)
7×10207-2 = 6
(9
)2068
<208> = 2 × 23 × 964289 × 1900392589
<10> × 10142831230429
<14> × 1782916179539402557370059
<25> × 1179166982958620177199603412073
<31> × 21074936561123901401623068592063
<32> × 184781273521454038730060994256115062428155167527409632133461310909944804645316115238503505077
<93> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1902232036 for P31 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1739077461 for P32 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / ECM for P93 /
September 8, 2021 2021 年 9 月 8 日)
7×10208-2 = 6
(9
)2078
<209> = 2 × 3253 × 65462027 × 100754440439526757060271899472669997430557053528164003
<54> ×
1631286855452686612398977167008560943212366206699053731705609144886510366102962317856829887469294637720737206695202689154982384676336868272876643<145> (Bob Backstrom / YAFU for P54 x P145 /
September 21, 2024 2024 年 9 月 21 日)
7×10209-2 = 6
(9
)2088
<210> = 2 × 13 × 17 × 67 × 17986949924309
<14> × 7426695876922801223832037
<25> ×
[176948873620835028216336724132108797054055837368697785737772606084670375896776411350965812608259395551333555581043022784587130444883176570448024384528716598123342432529<168>]
Free to factor
7×10210-2 = 6
(9
)2098
<211> = 2 × 1203906469
<10> × 332546901394801
<15> × 902062009014121
<15> × 2681196886813423832092640536797971119373
<40> × 10088683596567937515935963546269770849106962715763236091277317
<62> × 358280185094763501429145027431558664901446425989430374894240924163444811
<72> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:1680269896 for P40 /
September 30, 2021 2021 年 9 月 30 日) (Jason Parker-Burlingham / CADO-NFS-3.0.0-dev for P62 x P72 /
October 6, 2021 2021 年 10 月 6 日)
7×10211-2 = 6
(9
)2108
<212> = 2 × 4428814631
<10> × 144634845069149
<15> × 2644762485370583
<16> ×
[20659553464074279024786574884271165927227062350909421490212422237984467628325389919284817426899913892991820302859846418189951450869450177167625689531212910758807951735254987<173>]
Free to factor
7×10212-2 = 6
(9
)2118
<213> = 2 ×
349999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<213>
7×10213-2 = 6
(9
)2128
<214> = 2 × 59 ×
[59322033898305084745762711864406779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661<212>]
Free to factor
7×10214-2 = 6
(9
)2138
<215> = 2 × 31 × 8069 × 12569 × 949021 ×
11730326116980063488018695781105349361132278974221885981271886076043780646798646640547418143832212847617628441189369595679965187925049733775861777100810051016559253581360082604501868791001683380090809<200>
7×10215-2 = 6
(9
)2148
<216> = 2 × 13 × 29 × 4146825927831101
<16> ×
[223877726970393875095572407799448808194548549002393421726443505245732227376780720736980804590604470243863982371452163693614494223517946273377274208041264100705866006101630713187588627258163914937987<198>]
Free to factor
7×10216-2 = 6
(9
)2158
<217> = 2 × 569 × 4027 × 18493 ×
[82597476429665476766233390530486516404471137623615775857641380688164806041650392156479127249946859550680613626042077105351267746643662819836076000941684766651487817313804532974658571578147063784887040993561<206>]
Free to factor
7×10217-2 = 6
(9
)2168
<218> = 2 × 445619 × 22047017 ×
3562497003012428947786102630984759822662491257805136984465823155596393750324524246488377980229981337879777327290145942077435087948068022087658162906942987418761395217171947719086505982413249997953790300413<205>
7×10218-2 = 6
(9
)2178
<219> = 2 × 2153 × 46021 × 209597 × 1796321 ×
[9382076157136734770436406305517651777106784653777629481314932727045101788709286998322132394355421033217240186718831721244645840552690028385890786223269079871435039958179520012307386114605095892492279<199>]
Free to factor
7×10219-2 = 6
(9
)2188
<220> = 2 × 1174763 × 162761222497
<12> × 1437014095723108853833959133951939
<34> × 23916196456449817922760736752891544700709335311433901247977203115488203
<71> × 532615377559945609088413369117230898624936721738616318405612924989005740964997126981409636650722877
<99> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2350464247 for P34 /
September 8, 2021 2021 年 9 月 8 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P71 x P99 /
August 15, 2022 2022 年 8 月 15 日)
7×10220-2 = 6
(9
)2198
<221> = 2 × 27293124960196076751238633967092980950879
<41> × 1710419921744231303608339115041112076115452111701
<49> ×
749742335110646474977246911988574376083909536151831690746250763379180702932208876008195262794770926127144521537823612271719954159581<132> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:327641586 for P41 /
September 8, 2021 2021 年 9 月 8 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P49 x P132 /
August 15, 2022 2022 年 8 月 15 日)
7×10221-2 = 6
(9
)2208
<222> = 2 × 13 × 19
2 × 109 × 652572249318918370998793068912208911359
<39> × 1494578290973814317328300156361034713793015343807050479
<55> ×
701525918404095835402729867311039996597634580221196135222184645163883053216925173737935012703605463760351177604667250655807<123> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:54096585 for P39 /
September 8, 2021 2021 年 9 月 8 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P55 x P123 /
December 12, 2021 2021 年 12 月 12 日)
7×10222-2 = 6
(9
)2218
<223> = 2 × 47 × 2304451 × 6089639 × 47697804814585971082779248195561373502242380795757172751019532253513
<68> ×
111253265776130857098660986572906395749433318078518294181658994110402123355813456723201523951239154832471118374172482129431234291179328761381<141> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P68 x P141 /
March 8, 2022 2022 年 3 月 8 日)
7×10223-2 = 6
(9
)2228
<224> = 2 × 381834613 × 20179633136027
<14> × 3178904768272970296637601502674674182969
<40> ×
[1428900426141603065504624023398946203897540161781594462048056983717605115275896172074034107945654093438714008456188088741354695607162119730909687982576115129668321<163>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3995295698 for P40 /
September 8, 2021 2021 年 9 月 8 日)
Free to factor
7×10224-2 = 6
(9
)2238
<225> = 2 × 20103013062476241291977824517
<29> ×
[17410325452819848747934652889753093890427918838751283407345305205988420522521248131696626234316786597987591712459812092256996428615109570982976556906309023536747386987629038993039147039314361988147<197>]
Free to factor
7×10225-2 = 6
(9
)2248
<226> = 2 × 17 × 97 × 5887515371
<10> × 9302608640359958971820789
<25> × 59719922086586551605775048613
<29> × 1763611867960129623542768922173489
<34> × 1963538376097290662261440801453297
<34> × 187391093404400609221699424621086019297197949027161109285584872122250316875673169112469920101
<93> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4153843159 for P34 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / cado-nfs-3.0.0 for P34 x P93 /
September 12, 2021 2021 年 9 月 12 日)
7×10226-2 = 6
(9
)2258
<227> = 2 × 43 × 26203 ×
[31063370162656681420288285825606689807398229742910673285235402656716921282757433242598708296316150556167454640823126057818694646183776223031447668427811834079002138047392052569872613556587253900449886352441447766055546631<221>]
Free to factor
7×10227-2 = 6
(9
)2268
<228> = 2 × 13 × 149 × 1723 × 2011253033
<10> × 65745436919101
<14> ×
[793086976520899014563138307092777867160447845382482737196926590404786068170456289368836455255194350519040453972413958123872828434523604150300965166655925340167825582237460562283818416766125662320153<198>]
Free to factor
7×10228-2 = 6
(9
)2278
<229> = 2 × 179 × 1804819 × 82631533 × 261818101 ×
[500767206331414119391762195124998448559831574207967355309558226834887546644812452672690134160263652275021054593085452636300370934506310525062342956868971275318169553820676509834270689429886847054881151703<204>]
Free to factor
7×10229-2 = 6
(9
)2288
<230> = 2 × 23 × 31 × 2447 ×
[20060628952302129120524831906258400388373776516569219773360745705162631518916313360780094812264036851948546206219826664702635565431753453723854552415844228643024546758746864093824134770744266528955225249339288856435249161609<224>]
Free to factor
7×10230-2 = 6
(9
)2298
<231> = 2 ×
[349999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<231>]
Free to factor
7×10231-2 = 6
(9
)2308
<232> = 2 × 107 × 449 × 15270165791
<11> × 5052698744702077281417464050142267
<34> ×
[944214723229908801787812697066504788076913428521052430289329875656110255332295561711088420982306935069678204802159036959066962639631774239841330496439718788139924385124232853661720569<183>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1519796369 for P34 /
September 8, 2021 2021 年 9 月 8 日)
Free to factor
7×10232-2 = 6
(9
)2318
<233> = 2 × 949773247656971136395277807634263599
<36> ×
[36850901082276980200924231193469006119160870839625327805651350122056554636761490646238260504160139435649346412445328414217180274111437720964096958452428068593376943562647495670736109448638975223601<197>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1907313729 for P36 /
September 8, 2021 2021 年 9 月 8 日)
Free to factor
7×10233-2 = 6
(9
)2328
<234> = 2 × 13 × 547 × 1663 × 5011 × 3941831 ×
1498382572320643760290765789250041042192986122232519633971728298336575376193135632396417135773070629618970610828869203083237215311496916999887527195973575407456683528240531491744159804448264084501161892899055394141323<217>
7×10234-2 = 6
(9
)2338
<235> = 2 × 349 × 33757 × 120767 × 11515185853
<11> × 1764937337605709831251
<22> ×
121040372920456707507246295226131952282002776913790867851888947242186732429637037581631696620302207183255900734502209139422333080779922889379485636457013021757920060629578199358387772394866943<192>
7×10235-2 = 6
(9
)2348
<236> = 2 × 971 ×
36045314109165808444902162718846549948506694129763130792996910401647785787847579814624098867147270854788877445932028836251287332646755921730175077239958805355303810504634397528321318228630278063851699279093717816683831101956745623069<233>
7×10236-2 = 6
(9
)2358
<237> = 2 × 883 × 1496204805056068645899541
<25> × 15505323480878375933449193296897096363
<38> ×
[17085805747564718628657234156266337163814603373630722577759388246485481094549234431734013206133708110661957754087505841494467130129605046362904193661638724736044094588670291<173>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:4216656658 for P38 /
September 21, 2021 2021 年 9 月 21 日)
Free to factor
7×10237-2 = 6
(9
)2368
<238> = 2 × 610201451819453673674287159010537
<33> × 24506854959997534221475896377542176103
<38> ×
234049235706488852060857329383633799154573927948270636394045782915989032752007268764787158977439890846695447930325159269586925435268034411291371316628225161330853142209<168> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2303862178 for P33 /
September 8, 2021 2021 年 9 月 8 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1715530799 for P38 x P168 /
September 21, 2021 2021 年 9 月 21 日)
7×10238-2 = 6
(9
)2378
<239> = 2 × 3657653 × 22332901477
<11> × 1238940510294881
<16> × 14196143889168806214113
<23> ×
24361248755387977148407676444266472743509115577582272909322362954451081330581773817758126981027725873123326306794585042449394263372395084172886354577089041203408644546931582989169527143<185>
7×10239-2 = 6
(9
)2388
<240> = 2 × 13
2 × 19 × 189817 × 2323206923
<10> ×
247175112429681721691006892245469355554026905628676517245386875028882056047310753519513926009015240348209338357564042179751081282096326266823353657706070368124503211467888063973144872124363366782088585748723629738476385199<222>
7×10240-2 = 6
(9
)2398
<241> = 2 × 18587 × 1566767507
<10> ×
[120186085203814456484818981651559763145404340971805423487563139613788085204016794291991959547197171899902049834743207465124319266605369280509300539154992371878267947496516339358604219469846080973873328111814447455514072829555711<228>]
Free to factor
7×10241-2 = 6
(9
)2408
<242> = 2 × 17 × 93596417 × 102227869 × 638448113645417
<15> ×
337027224131679800485993888546353316340969107682676022232232974196687293501291791292838561742229095975466002502891162288330406023696001499968818113965726473609641229568117273269877906048124772075299684112730467<210>
7×10242-2 = 6
(9
)2418
<243> = 2 × 67 × 571 × 355027 × 2441319953476687
<16> ×
[10555311394012930614543056712973235364717213197084802560394804495557619879822774849586412541662365906804302987860908609807007298590726812769264510581536618123000172947974325883956158678479379876631428187302699938434043<218>]
Free to factor
7×10243-2 = 6
(9
)2428
<244> = 2 × 29 × 3251582821
<10> × 3397821195053784454578001201
<28> ×
10923824267315841193160693343137952423010483289559852442683122241660167074619867424995404531955478826769580840272475194579817476269230591058358212704457791902563289822597585318713127444527274477186660375711<206>
7×10244-2 = 6
(9
)2438
<245> = 2 × 31 × 5567772637291973
<16> × 8419720052440443217412429
<25> ×
[24083921684563056306341199618429465442297590662255251398474249948318582472372888758352889549590321116471403692089638080594845788413552952804716145744305694769500917255252151305312489202773800365718375137<203>]
Free to factor
7×10245-2 = 6
(9
)2448
<246> = 2 × 13 × 1367 × 1473866374139
<13> × 10972545670093570621
<20> × 62327146347585239125073
<23> ×
[19539499111161042103191069506099470376113712199752813237619366956573957816689800567300233248286552636663211703878853997151482213830863102047582130589449358874066725275191844465851562958787<188>]
Free to factor
7×10246-2 = 6
(9
)2458
<247> = 2 × 6379 × 36705433 × 129495193 × 8604918746653
<13> × 37145388068120529517923277
<26> ×
[361143472523731617787807141385300991746561229909950113972307944887783237316147186537511627401591591707794559033124680747003190874910932819294134243857633999872656447976101788958791258416629<189>]
Free to factor
7×10247-2 = 6
(9
)2468
<248> = 2 × 43 × 10036571 × 35425771673
<11> × 1204703744825825230238561
<25> ×
[1900267094390991491480904831754698582497707363825945264825548701306788363944470745154349908330632245055618834590433954056786577814553437387983722211616807585002304548485452646902948862935496569912387014911<205>]
Free to factor
7×10248-2 = 6
(9
)2478
<249> = 2 × 1297 × 17921 × 359424805968243270879371489730116005763
<39> ×
41894574266665578807620338178066190110839003021281301282258862347667305447397735863176469523376784952787344002442452346915352398319578448828425105752345627304871212059151022524445285016556631399009597829<203> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3957843416 for P39 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / ECM for P203 /
September 8, 2021 2021 年 9 月 8 日)
7×10249-2 = 6
(9
)2488
<250> = 2 × 1061 × 7623617157705827655829
<22> ×
[432704669262701429328691889322577586344908145064989423098921073715014717396183463239684797093240289399828575824381124278408144204573639384524721467167325841801831000638465928072560655074032361502198519520841827992884567622471<225>]
Free to factor
7×10250-2 = 6
(9
)2498
<251> = 2 × 41453 × 97931 × 6146559823
<10> × 155416823687
<12> ×
[9025302083695883418858213354260362368646007900612877082265149285049050430153915291595199912040528617239016791082084747992330875374169134510984906058274204337892672730333487748247227489309280917295600301553877916188085193<220>]
Free to factor
7×10251-2 = 6
(9
)2508
<252> = 2 × 13 × 23 × 457753003 ×
2557205641910141000203674291121250884358344945888429274475959266074264440296578261222235292508599116343604714980079117041520493543001771565793251409208115354555947389010206969908377206218665662375460528805229646761485028762374705052081179767<241>
7×10252-2 = 6
(9
)2518
<253> = 2 × 66949693 × 218023960558227071
<18> × 104603273806376007175822313
<27> ×
2292292074287902818560430350440350977669830056248726510446447502449276247448943007188951702669152321984342526418164757908344079439707046329346465240488139077474212268590844744346096565198211578158632141<202>
7×10253-2 = 6
(9
)2528
<254> = 2 ×
34999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<254>
7×10254-2 = 6
(9
)2538
<255> = 2 × 311 × 1473503 × 2309261 ×
[330737629916198234881868766063974256399163896620099539902485159240866953099435306132013944435058706346329969043577290361416051973706792276976580346248695658871781102715751396985049470512346696414423903315318204905675096912785346767889937923<240>]
Free to factor
7×10255-2 = 6
(9
)2548
<256> = 2 × 2659 × 94933 × 10243383438671
<14> ×
[1353596029558345254441088307852184678649329131406575259579309892941380867463987655014312209429794974937748350911576333095609072051854257665058418171184602316915458784167288276761664073269003992226207595472758912812508386763438166715727<235>]
Free to factor
7×10256-2 = 6
(9
)2558
<257> = 2 × 8543 × 25129124419340867
<17> ×
[163034787356526687432876621538998406692907959843705058652778399249516984391758002574518496751406351291870099783266781885590382256785141820464760714336952869669714827247977750772092765225232356413385661321976829953000254436964727335850379<237>]
Free to factor
7×10257-2 = 6
(9
)2568
<258> = 2 × 13 × 17 × 19 × 1901 × 7941359 × 1391840831
<10> × 22031457954757
<14> ×
[180057996194751459439913913460450832139380680943079827885371535721305689015778527242864298874894560392225370380048357435169293999482182554716832307236513814263240648845130297232278828168415030352539653516225156226302141817<222>]
Free to factor
7×10258-2 = 6
(9
)2578
<259> = 2 × 42157 × 42669152758474837886803
<23> ×
1945737848991365384319695654465622359883572592881268775081100660808668461715653358501774798296491993700257376828573262456697895671369336046306638029267729184884162053880452011670816651712200799020899093224012834176075264388958222169<232>
7×10259-2 = 6
(9
)2588
<260> = 2 × 31 × 7334869219
<10> × 388638138443
<12> × 3112061826403909
<16> × 12216588703414773049541339157017941
<35> × 169375696535404941233395792973817643909
<39> × 437675907925536895988168429457381226919009
<42> ×
140529225876401454345032912441070044981644686256731938596791293156311041067932734314388425265110346175638533<108> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2212592703 for P35 /
September 8, 2021 2021 年 9 月 8 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:2085592334 for P39 /
September 17, 2021 2021 年 9 月 17 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2612535810 for P42 x P108 /
September 18, 2021 2021 年 9 月 18 日)
7×10260-2 = 6
(9
)2598
<261> = 2 × 4973 × 17977 × 4130977 × 887976238702265341
<18> ×
[1067279690087914635647803085721433840576481461226033869053670231645116356426937549384581050035884329160338472917331541107560273081464203558735836510880151083630298031994573817283364243434630367759571750842678465502583670051913167<229>]
Free to factor
7×10261-2 = 6
(9
)2608
<262> = 2 × 823 ×
[4252733900364520048602673147023086269744835965978128797083839611178614823815309842041312272174969623329283110571081409477521263669501822600243013365735115431348724179829890643985419198055893074119076549210206561360874848116646415552855407047387606318347509113<259>]
Free to factor
7×10262-2 = 6
(9
)2618
<263> = 2 ×
[34999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<263>]
Free to factor
7×10263-2 = 6
(9
)2628
<264> = 2 × 13 × 449 × 947 × 231289422801405526800404801
<27> × 558032977322905351098287419
<27> ×
490583271598244072230867854749387084762890936133266004876876323034867667318649895839707541743725336786649387265545885641387689348457070547117341531210034063819117732422461709564049128237202245966121442939<204>
7×10264-2 = 6
(9
)2638
<265> = 2 × 61 × 63391 × 684043855563065806859
<21> × 11654032193401130328094772726513384711
<38> ×
[113540407036773624115021851711698848996982220920624016796606554043633636781658343973232672604795445964519610840083374217550156896479204908903376541490299774888844959910547706380287437787677954915563401<201>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1610576718 for P38 /
September 16, 2021 2021 年 9 月 16 日)
Free to factor
7×10265-2 = 6
(9
)2648
<266> = 2 × 1423 × 3803 × 1155449 × 33983203 × 89156047 × 1141055694852011261
<19> × 666510932507239681246663497283
<30> ×
2429163815747623612214649121608768719711953126251426330028006351257514798386385518511361955381213956557172559671043788962268780070209097441102062065856631037645478585594897655514558873790513<190> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:736513132 for P30 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / ECM for P190 /
September 8, 2021 2021 年 9 月 8 日)
7×10266-2 = 6
(9
)2658
<267> = 2 × 655449146249
<12> × 70193556934065174410421417178583
<32> ×
7607321874921322174542720893359424726549906062304782202656773378402336983212322124316665907670884604204468360863679551856941904252861500965066903253329050107617557288862678241522220213768567735305097047646568698778242516497<223> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3724025087 for P32 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / ECM for P223 /
September 8, 2021 2021 年 9 月 8 日)
7×10267-2 = 6
(9
)2668
<268> = 2 × 34729489 ×
[100778908667501557538033456236571750307066136216400995707135224477388653774894298041644090991376233609426271719690433683029427815652571219806890910488202115499021595163695037378753254906802688631554584635552800676105542468534449211158851199912558460045294648591<261>]
Free to factor
7×10268-2 = 6
(9
)2678
<269> = 2 × 43 × 47 × 5183169081100702954463
<22> ×
3341229864604013153654096757427620814761803626916581168313027401728521409635659013223195398919634465816420846040169971777284449867705381335265003251902536869219051707726067753193932084263602464232795901832317688917728197102052620113167238363213<244>
7×10269-2 = 6
(9
)2688
<270> = 2 × 13 × 363055315127
<12> × 9045784678011451
<16> ×
8197957208432912181323657460641769481045070120564176120458414716603863721295491626655657593670493339065649746885844024555338018900188424264611665330017549292755737035114920005748153711284115664481732550959557818014943049820757186430369390599<241>
7×10270-2 = 6
(9
)2698
<271> = 2 × 509 ×
[6876227897838899803536345776031434184675834970530451866404715127701375245579567779960707269155206286836935166994106090373280943025540275049115913555992141453831041257367387033398821218074656188605108055009823182711198428290766208251473477406679764243614931237721021611<268>]
Free to factor
7×10271-2 = 6
(9
)2708
<272> = 2 × 29 × 59 × 160060618085902792039
<21> ×
[127800791991555294771874804341917239683201018013974448996959274275695752089348096973554817031897373423059148216625042734224700817092351231156801229479826589848911238228863110082078063275710154716691396420625869280992856131205763323461505855363918631<249>]
Free to factor
7×10272-2 = 6
(9
)2718
<273> = 2 × 41870149 × 72962090681
<11> ×
[114568774609224920106165584378054073223598903049593569926148612058684641787556351237781193460395126990377074875103485824488803549034497058840132784828879154156685228860709373155044674618935798758197090319281422579314945255744769468015439517237608089375371<255>]
Free to factor
7×10273-2 = 6
(9
)2728
<274> = 2 × 17 × 23 × 443 ×
[20206335552181418253826213967773781413635235230612021037681929185453747697921056733616991796227765814344188946557129083844746064094496371519458701136750705778434644050966151501330731527079376259287697805591959033097977634473163099767338479213453955534515307742490459723<269>]
Free to factor
7×10274-2 = 6
(9
)2738
<275> = 2 × 31 × 293 × 383 × 2857 × 16193 × 144413 × 69910850545084611840949
<23> × 7592791882353265198793293
<25> × 8931105457744552367935455454553
<31> × 730651270128108562924683244300575061
<36> × 1131820837801015220782920907234018071893
<40> ×
384111209635440770536946715640184745524768085462659888144683232129310118381417250698686430244529609079<102> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2116301956 for P31 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2278445299 for P36 x P102 /
September 8, 2021 2021 年 9 月 8 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:356118057 for P40 /
September 8, 2021 2021 年 9 月 8 日)
7×10275-2 = 6
(9
)2748
<276> = 2 × 13 × 19 × 67 × 329419 × 767729 ×
[83625686895060893175707438550093668858461097469061157388654415980980958444548980827504665975110466333330963722718737218615108156133305505674946101731446131845940302056278275893307112720003067960713811915050156859695469662257781403555126959294185377299137554601<260>]
Free to factor
7×10276-2 = 6
(9
)2758
<277> = 2 × 340448539 × 45472762488784511
<17> × 810644296265696583447840825638293
<33> × 239867009061903007566465453211683455092363
<42> ×
[1162691184794329617788694644262549791687565795590493045660845961862792446408451955440102472705516097197885302059446955618037289986446572208852019608528712760174868602808065249909<178>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:625714017 for P33 /
September 8, 2021 2021 年 9 月 8 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:356394873 for P42 /
September 16, 2021 2021 年 9 月 16 日)
Free to factor
7×10277-2 = 6
(9
)2768
<278> = 2 × 3274333 × 3249556819
<10> × 56288546775737
<14> ×
[58438764784562779190549005765737084846186919420063379290990048843454893281391304119937110758739364954430910675922738276572614984665761956069717470006882338247665045054661096672107470738361014763372114484626444479955921224865976095148336733055562801<248>]
Free to factor
7×10278-2 = 6
(9
)2778
<279> = 2 ×
[349999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<279>]
Free to factor
7×10279-2 = 6
(9
)2788
<280> = 2 × 157 × 163 × 199 × 347 × 746555202145901
<15> × 13774916528792900947314543677077660676227
<41> ×
192596031636115395262406688055820885802287480807380009398229397106552833616305409306437636077025470686353764213405271932152322071710932830337906778884541565891508666006454114683246942707490236348768016348428911539819<216> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:1922123060 for P41 x P216 /
September 30, 2021 2021 年 9 月 30 日)
7×10280-2 = 6
(9
)2798
<281> = 2 × 166967 × 5118293 ×
40955502290752676607665695010085456208449935251519238134871976063045758087420558858568600277165300888143687617331519274493435077124977365762186153709153008562203362782001918829825853058708673032829062656946039980771720207829422667600509570494336355638043525235181025429<269>
7×10281-2 = 6
(9
)2808
<282> = 2 × 13 × 7043 × 66666871 ×
[57339900051325588200893853007487180660884864313512609334291997642812805661023281910702401336476287889607384951951825923219901451099475899367172948183159430735306340208565322106629806767055839288185416277388992828982351005833318924632451822372001878890792931389954392991<269>]
Free to factor
7×10282-2 = 6
(9
)2818
<283> = 2 × 69877 × 4827445943
<10> × 297974815807193018479
<21> × 304258735249664126353453
<24> ×
114444192206117448735786188715456472742610732287702607466271699708117127583838856781808894973137306608838642020365560440227045164362808094760624379557644811753316610015076252650097738658172738525697362744591784218069701572007<225>
7×10283-2 = 6
(9
)2828
<284> = 2 × 1187 × 67170431 × 4350314286939663281
<19> × 3883288372702231506751
<22> ×
[25984772236675351026897469917147980134152677577755527228933754833488158934410359464240962784237976392511447594724663487127244413033465179671471683728196445868362995229568509065608587487206586984431293636291464206093142494773576748357<233>]
Free to factor
7×10284-2 = 6
(9
)2838
<285> = 2 × 107 × 4925881 ×
[664049342114269015043899343878837845424973336569062373352153731247623663855172189350968171703321870975262156577230294097189316864494776167626559793325988024264750006757650697929993326664595680172716274121139375785308309391524435060638813531884415488031101612304782703257103397<276>]
Free to factor
7×10285-2 = 6
(9
)2848
<286> = 2 × 28653809 × 1966851379
<10> × 52613755287050103581
<20> ×
[1180360961753630825826811552177854908546392250667095896520911179491835998429853203050586856387714986275421643369182710471105798576932530612836683861461983857959259335320218294004395400467942178891519125735016556003252503522101230114385567860673588889<250>]
Free to factor
7×10286-2 = 6
(9
)2858
<287> = 2 × 401 × 3660648107
<10> × 67752317631840701
<17> × 31260850669888455208417441
<26> × 24014428038890961578592241183
<29> × 8051396002877728466232048430770083
<34> × 74458615859792474957196133585649399215946821
<44> × 856199345816263425728191520900613092900221182268259659
<54> × 913287378589994538363562533439492487130193829060866767750094540163329987
<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2227516482 for P34 /
September 8, 2021 2021 年 9 月 8 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:3554920068 for P44 /
September 12, 2021 2021 年 9 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P54 x P72 /
September 15, 2021 2021 年 9 月 15 日)
7×10287-2 = 6
(9
)2868
<288> = 2 × 13 ×
[26923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923<287>]
Free to factor
7×10288-2 = 6
(9
)2878
<289> = 2 × 1237 × 18119 × 125564479 × 2445547476366323201051
<22> × 1258047782293589149636603
<25> ×
[404225852740068608380029795244332070461864477775317367976147420530866003968634649794624486883797031589943387182583982433769406568932111375072293330115690232871775870974354134389143079983232986068897620431243235872796502421663859<228>]
Free to factor
7×10289-2 = 6
(9
)2888
<290> = 2 × 17 × 31 × 43 × 8887 ×
[173793605603924164276330104905246559324817205002870400017812354914925621774058610066174298788856693651037048541254185130023462583654372743696584131868192327571431443633914654240576142288141883033953902795359414784692539274387961362622706789029216080554269717357522649018545053859557<282>]
Free to factor
7×10290-2 = 6
(9
)2898
<291> = 2 × 7177 × 6044050153
<10> ×
[8068578686644541321402147940153602659680973389826980566953365645201168821988423389325356950471541742896261402156472787601764617970689232754247928596854762098651661970444096364913666650082725034864213222867769419710397052957265593553885065626226336870076730430204483769242213679<277>]
Free to factor
7×10291-2 = 6
(9
)2908
<292> = 2 × 7529 × 4568958337
<10> × 3291078325733419542570973
<25> × 1251718824900268659757905311
<28> ×
24698384492486574589926773356789330563944216219126847618461922893120393534420507006572969199375567353914896190454061154010144449228996778202488633495764683338926867356114862606452259543602932909489018083053113457190312827875021<227>
7×10292-2 = 6
(9
)2918
<293> = 2 × 239611 × 503743462507844843
<18> × 143836392602339590603786331691331047653
<39> ×
[2015965461200517686860637847533732011594705429294060188300311134595418159508122185890969460583381548195898824219265234836250972459584331028799546858047573581976443330435558946077560865715122809924847539003658375767064449073224268571<232>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3358032850 for P39 /
September 26, 2021 2021 年 9 月 26 日)
Free to factor
7×10293-2 = 6
(9
)2928
<294> = 2 × 13 × 19 × 4621 × 641791 × 13114253837262473852707
<23> × 49173438636723938470884793569906441343943
<41> ×
[740913205551894924824677689524662955121294086207261754029847705574451613242477247215472163773698708831412126651576716282700051963277493087087680760013694119456142191707551432081114199700410152887001840662822541525350647<219>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3:3125014738 for P41 /
September 13, 2021 2021 年 9 月 13 日)
Free to factor
7×10294-2 = 6
(9
)2938
<295> = 2 × 160815773 × 21913225815138569
<17> × 2642618494183450151
<19> × 41243117703997449822223
<23> ×
9112701193310024482150802738961924221205942561932268440878103060610129200008697806886224714264599433545968810063370093607068617754447542455435081861191816748619476456106923992154437257311036932106271669319119922959311820884662299<229>
7×10295-2 = 6
(9
)2948
<296> = 2 × 23 × 449 × 29947 ×
[113172404911243910916386743076320019730541742171926997111959866064532994119636211249279491926004169614147642242588289891529067803524647198850890082695367283401411762374721017492091811443300969506927459130219173009853316631630052963165754739056462065261423453601507914296633066954485864571<288>]
Free to factor
7×10296-2 = 6
(9
)2958
<297> = 2 × 1149011326868297
<16> ×
[304609703852047414869763247060307203505560950508621830030781777384988348706622559248024115362478511115308184728991304237475408057477072780322471891860479905933686922697485617372009552230241655448344868011482504864563689665156479018739998684281999290261123903198267427891876139055367<282>]
Free to factor
7×10297-2 = 6
(9
)2968
<298> = 2 × 3882631235467094176288291647208277
<34> ×
[901450533861719604030646326454045319000845172451206471867798324852642666597289628137058310908796870043098476430353711505797229100072943289028141200210424933406957530375476924298809401066242022481771661572091019437255058081758485456253535882348426131034496395318787<264>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2279281269 for P34 /
September 8, 2021 2021 年 9 月 8 日)
Free to factor
7×10298-2 = 6
(9
)2978
<299> = 2 × 181 × 40786903 × 2451841727
<10> × 1711667158545429525305591396937641
<34> × 50652128637954030111311427311415041
<35> ×
[22302794788369459674068011751728319187328061619376388185240761040573552265067910341665353867041401397162117340332251199551642122009245257752542988430851271295544574130380238221725371507578286981670765753712487539<212>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2369325186 for P34 /
September 8, 2021 2021 年 9 月 8 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2228283956 for P35 /
September 15, 2021 2021 年 9 月 15 日)
Free to factor
7×10299-2 = 6
(9
)2988
<300> = 2 × 13 × 29 × 90173 ×
10295564779531805367583873039095701128108565612795986824148017746376762780862639486885524291782071368207901928332808896874063563228490263381432348976345822255428196804486136448414322707300534978137074031670510393210857490822018777286372105067356379298137229347619184473017545613249579992434819<293>
7×10300-2 = 6
(9
)2998
<301> = 2 × 65222141 × 695341580023
<12> × 487627722116662649
<18> ×
[158265555181969952782994531365180762437660494085038573700082277096673197451304758447542713477736129858080030061039081581608508168788053323555799950990984594652506753624468449789514464490291141959464063249098910934282397049339980961724911427753074125320097358043157<264>]
Free to factor