Mersenne numbers with smoothest P-1 factors:
Top 712 factors (top 100 per 10M range) listed here
Exponent Factor Bits min B1 min B2 Ratiok (factored)
M3,870,56336174716570195216701279948305449104.8452,237103,007982.5722 × 31 × 37 × 199 × 257 × 479 × 7727 × 52237 × 103007
M59,196,2175001975412906865957610285539470217111.9598,873111,893999.5322 × 73 × 359 × 2531 × 3299 × 4363 × 98873 × 111893
M1,120,883284426619379530934997448781235736751117.7852,957118,1631,003.2932 × 53 × 83 × 227 × 241 × 379 × 1549 × 6761 × 52957 × 118163
M83,870,6417837088231376746839606394372500001112.59117,649117,6491,044.9024 × 57 × 76 × 41 × 67 × 367 × 13999 × 22511
M57,943,77724270720192033602142766671690264721114.2376,103120,4011,054.0723 × 32 × 5 × 7 × 112 × 312 × 257 × 367 × 827 × 76103 × 120401
M53,325,74916989901206839076953658196595288534753123.6817,099131,7491,065.2824 × 233 × 443 × 1129 × 2017 × 2791 × 6737 × 17099 × 131749
M2,374,29111282348875528353503558868060433103.1542,409111,5091,081.0023 × 3 × 17209 × 30089 × 40429 × 42409 × 111509
M82,697,267455998380777598416046144746206311108.4914,731117,5111,083.1433 × 5 × 31 × 131 × 491 × 1117 × 5297 × 14731 × 117511
M78,686,233218212326673142655964751252868143983117.39122,789131,5071,120.233 × 6379 × 7639 × 10141 × 57923 × 122789 × 131507
M2,489,2871204472511387783382130896707882023109.8998,017123,2031,121.1313 × 31 × 227 × 317 × 8389 × 82351 × 98017 × 123203
M68,077,4633218850144069004048143485391972193111.31118,387125,1491,124.3324 × 32 × 41 × 47 × 347 × 431 × 38449 × 118387 × 125149
M53,970,19916599258054689318535856265824810591113.6839,509131,8491,159.8632 × 5 × 23 × 193 × 3089 × 5783 × 8273 × 39509 × 131849
M52,110,089228373942108831679916287914025551107.4974,161126,0411,172.553 × 52 × 29 × 761 × 3907 × 36251 × 74161 × 126041
M64,038,041214251684113854438872558251182849107.4027,277127,1391,183.7827 × 33 × 479 × 11467 × 25411 × 27277 × 127139
M66,548,1231502883965784236568003626760142849110.21131,072131,0721,189.28217 × 33 × 17 × 151 × 2712 × 599 × 3137 × 9007
M62,104,71770464927369489188600312400203816503115.7660,779139,8611,208.173 × 3697 × 7691 × 18541 × 42197 × 60779 × 139861
M6,877,43313603188137653658483968070877893447113.3973,477138,4971,221.432351 × 12967 × 53629 × 59443 × 73477 × 138497
M48,283,0311651490586835046595306455961781998737120.3147,251147,6291,227.0423 × 29 × 43 × 79 × 9151 × 11027 × 30829 × 47251 × 147629
M91,036,4276850122247775772484596715067321113112.4012,227138,3191,230.6022 × 32 × 13 × 23 × 83 × 653 × 3691 × 10331 × 12227 × 138319
M79,568,1739485039456097595867170767685398249112.8724,247141,1571,250.6222 × 7 × 11 × 29 × 107 × 463 × 2953 × 13327 × 24247 × 141157
M55,106,8674938848593337228476234544935355729111.93134,777140,4491,254.8223 × 7 × 13 × 4483 × 18047 × 40193 × 134777 × 140449
M86,337,45747970890695546633080024712194808751115.2113,499146,0111,267.3754 × 19 × 389 × 647 × 3739 × 12613 × 13499 × 146011
M3,976,36710301671702941918594997261296001103.026,991132,1131,282.3726 × 3 × 53 × 11 × 317 × 4049 × 4139 × 6991 × 132113
M64,794,34919704273405690960273485306189042417113.9259,693148,1991,300.8623 × 53 × 283 × 1579 × 7699 × 11783 × 59693 × 148199
M63,241,4696451141407954020631830495401666577112.31126,781148,6671,323.6823 × 13 × 19 × 101 × 191 × 823 × 86257 × 126781 × 148667
M1,093,59116548907310721419358312842891374201113.67133,583151,6511,334.1122 × 3 × 52 × 103 × 14563 × 28687 × 28933 × 133583 × 151651
M2,224,63319348830652986542819423072530111103.9373,477144,0311,385.823 × 5 × 11 × 337 × 419 × 479 × 36821 × 73477 × 144031
M58,918,51119836429529232502735517527776984801113.9394,151158,5811,391.8724 × 52 × 11 × 29 × 31 × 67 × 883 × 48179 × 94151 × 158581
M47,741,5637638056198918263560828832830837128791122.5225,969171,0431,396.0133 × 5 × 43 × 137 × 557 × 1097 × 3677 × 10079 × 25969 × 171043
M78,282,691217694933418897765124195012386876677201127.36154,487186,6891,465.8923 × 52 × 7603 × 11549 × 39119 × 70177 × 154487 × 186689
M75,258,457371735694932374304244312917084041108.2052,981159,0131,469.6822 × 3 × 5 × 7 × 13 × 83 × 18859 × 34301 × 52981 × 159013
M2,493,7491096356529421037221178187487141359109.7689,101162,3891,479.543 × 31 × 59 × 1697 × 29077 × 56113 × 89101 × 162389
M75,239,6831690063705808784133909698515753401110.3884,509163,6131,482.2622 × 3 × 52 × 7 × 13 × 192 × 5683 × 14503 × 84509 × 163613
M69,237,43317234096925586235777074508015408761113.738,713169,2591,488.2422 × 32 × 5 × 3229 × 3323 × 5231 × 8353 × 8713 × 169259
M49,018,6991036176351584867483876489705678886019057129.61171,937194,8631,503.5023 × 3 × 53 × 131 × 1117 × 4937 × 13399 × 25621 × 171937 × 194863
M85,768,1571947366977239251021518452357763663110.5913,907166,3571,504.3311 × 197 × 397 × 487 × 2239 × 5231 × 13907 × 166357
M8,039,653238083741161251594946379992604607107.5592,849162,0111,506.333 × 72 × 7591 × 25657 × 34381 × 92849 × 162011
M83,847,1993350528218252457811753094404203417111.37154,873169,5231,522.1922 × 7 × 7591 × 49927 × 71713 × 154873 × 169523
M78,303,2296177910801917604007471167323861258257122.2294,063190,4091,557.9623 × 72 × 29 × 35803 × 57601 × 93949 × 94063 × 190409
M5,019,041269041778379531787565401586805689107.73116,927169,2431,571.0022 × 19 × 31 × 127 × 167 × 977 × 27743 × 116927 × 169243
M90,505,6871454495398390508756475565937688257110.16165,883173,8911,578.4725 × 72 × 23 × 29 × 31 × 59 × 107 × 1361 × 165883 × 173891
M1,127,1116701004491088867886548945221929102.40133,723162,6231,588.0822 × 3 × 251 × 443 × 1213 × 84457 × 133723 × 162623
M81,047,8613833514009825820736874639567951241111.5664,271178,5671,600.6022 × 32 × 5 × 13 × 181 × 191 × 4259 × 5981 × 64271 × 178567
M940,08748367371070067241824367270213319105.25138,179171,0471,625.093 × 233 × 1987 × 11821 × 66293 × 138179 × 171047
M60,006,101877473977520115188807809211906449109.4418,439179,8991,643.8923 × 7 × 11 × 557 × 661 × 1153 × 8429 × 18439 × 179899
M87,354,4131221993778563687436070889915315521109.9179,903182,2091,657.7625 × 5 × 43 × 367 × 4801 × 39631 × 79903 × 182209
M74,127,94342416178418208477274150298779893039115.03181,759192,0131,669.2472 × 11 × 19 × 317 × 38639 × 65353 × 181759 × 192013
M66,353,071572739790542431079241475639650801108.8268,261185,6831,706.3423 × 32 × 52 × 13 × 17 × 47 × 673 × 27061 × 68261 × 185683
M78,170,86742905184167900924058140736027299417115.0536,479200,9091,746.3322 × 53 × 59 × 107 × 751 × 1427 × 26107 × 36479 × 200909
M87,734,79787028359281397992647159998070383649116.07132,469202,7331,746.6924 × 35 × 7 × 11 × 157 × 173 × 1051 × 2161 × 132469 × 202733

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