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Mersenne numbers with smoothest P-1 factors:
Top 1,277 factors (top 100 per 10M range) listed here
Exponent Factor Bits min B1 min B2 Ratiok (factored)
M789,8511920261206422204954.09471272.3524 × 3 × 7 × 11 × 19 × 29 × 47 × 127
M990,05319566702053100100957.441271372.3923 × 32 × 11 × 71 × 101 × 127 × 137
M1,313,219174568133671489348960.601491973.2523 × 3 × 17 × 19 × 23 × 127 × 149 × 197
M1,389,64314794498594323142357.041212113.7033 × 112 × 31 × 47 × 53 × 211
M58,029,469925287388213872244504772.971732773.8037 × 47 × 67 × 109 × 131 × 173 × 277
M1,040,15915488793306584294357.101912233.917 × 29 × 79 × 109 × 191 × 223
M1,351,81339042179081683975158.441252333.9953 × 31 × 41 × 47 × 83 × 233
M53,163,70148759184466390176716168.722332814.0922 × 3 × 5 × 7 × 19 × 67 × 131 × 233 × 281
M46,951,24359769190478671209991169.021513114.515 × 7 × 13 × 37 × 83 × 97 × 151 × 311
M53,316,20935469026084099883264168.272563114.5628 × 3 × 5 × 11 × 23 × 101 × 109 × 311
M59,059,1833606759547420158445192974.933433434.5822 × 3 × 73 × 11 × 41 × 73 × 103 × 131 × 167
M49,839,8091834054527468916509271373.961913474.6922 × 33 × 7 × 23 × 43 × 47 × 79 × 191 × 347
M962,4311636571260558080153.862562564.7528 × 35 × 52 × 7 × 11 × 71
M1,771,54325694827302603360157.832112774.7925 × 3 × 52 × 11 × 47 × 211 × 277
M1,338,79128857004582660416158.001632814.8426 × 32 × 5 × 19 × 43 × 163 × 281
M989,0811851235086829632154.041672694.9826 × 3 × 5 × 7 × 31 × 167 × 269
M1,173,63129806949449790631158.052892894.9832 × 5 × 172 × 137 × 263 × 271
M78,531,4133876087922041620061544175.042933835.1023 × 5 × 59 × 83 × 103 × 109 × 293 × 383
M1,669,65112772573503269767356.832772935.1622 × 32 × 13 × 19 × 53 × 277 × 293
M880,6811372812729156960153.611272815.2425 × 3 × 52 × 7 × 13 × 127 × 281
M671,9173108700408213572154.792892895.2722 × 3 × 5 × 172 × 29 × 179 × 257
M966,5571593141375170911953.822892895.373 × 13 × 172 × 31 × 103 × 229
M1,300,45720157931495498275157.481633115.4134 × 53 × 151 × 163 × 311
M1,446,70312887023531115817756.841993115.4724 × 3 × 11 × 29 × 47 × 199 × 311
M550,1631330644321310586443163.532713495.495 × 72 × 43 × 53 × 229 × 271 × 349
M43,401,37369083934438631896952169.232713835.5323 × 5 × 7 × 17 × 89 × 181 × 271 × 383
M900,061121345498210809750.112892895.7725 × 32 × 7 × 13 × 172 × 89
M68,398,3495438615846074066837282375.532894395.813 × 112 × 172 × 163 × 211 × 251 × 439
M800,07773678247328811200159.351393535.9526 × 3 × 53 × 17 × 23 × 139 × 353
M1,053,80923756851675959235357.722433476.0124 × 35 × 29 × 43 × 67 × 347
M51,673,129261787444950538516874371.152334316.0672 × 23 × 41 × 53 × 103 × 233 × 431
M7,419,34147835489232628365860768.703474196.103 × 19 × 109 × 127 × 281 × 347 × 419
M57,697,903110371873009724064435169.902714396.283 × 52 × 43 × 97 × 257 × 271 × 439
M65,028,53956682522742580643219105778.915295296.7023 × 32 × 13 × 232 × 191 × 197 × 449 × 521
M61,464,751130448173805435881544380180.114795416.7522 × 52 × 7 × 11 × 73 × 263 × 277 × 479 × 541
M1,436,021174092722486769301760.592234196.9122 × 3 × 72 × 11 × 17 × 59 × 223 × 419
M1,285,4415965744452113423355.733793896.9822 × 192 × 109 × 379 × 389
M45,913,831130967397149730004870362444190.085936437.1422 × 3 × 5 × 11 × 397 × 499 × 523 × 547 × 593 × 643
M1,233,019153200377427073984160.411314437.3326 × 34 × 5 × 7 × 59 × 131 × 443
M39,197,941272319183704005089433771.212565237.3428 × 7 × 13 × 79 × 151 × 239 × 523
M55,009,3912528100215747901258284974.424435477.3525 × 7 × 17 × 29 × 31 × 277 × 443 × 547
M899,009151533774517753495960.392434617.6335 × 19 × 31 × 53 × 241 × 461
M60,119,32913189864811999710804166.842775217.7922 × 5 × 19 × 83 × 241 × 277 × 521
M1,807,06369617394753004246995169.241675417.8133 × 52 × 7 × 11 × 17 × 19 × 127 × 167 × 541
M51,441,707378983439303448218516771.684615717.973 × 37 × 41 × 97 × 317 × 461 × 571
M467,003238196601643357972961.052434877.9823 × 35 × 101 × 149 × 179 × 487
M49,762,8831316470098531289103808173.484495877.9926 × 3 × 5 × 72 × 47 × 227 × 449 × 587
M43,814,22715833734140155944433847177.074616178.013 × 5 × 59 × 83 × 197 × 439 × 461 × 617
M51,885,737198129398207190390472170.754635698.0423 × 5 × 7 × 41 × 59 × 107 × 463 × 569
M80,078,5276157570526631572535696175.703116198.1824 × 3 × 5 × 11 × 43 × 73 × 241 × 311 × 619

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