Mersenne numbers with smoothest P-1 factors:
Top 2,186 factors (top 100 per 10M range) listed here
Exponent Factor Bits min B1 min B2 Ratiok (factored)
M7,174,5295627245779174050920165.612333114.7423 × 52 × 7 × 29 × 31 × 43 × 233 × 311
M423,1091881775769201036954.061792574.7526 × 7 × 13 × 83 × 179 × 257
M70,349,033902248512026028521437772.932933474.7622 × 11 × 172 × 193 × 257 × 293 × 347
M16,924,8715732621175379837060165.641073134.7722 × 52 × 7 × 29 × 47 × 53 × 107 × 313
M2,150,30372590379549533040159.331732834.7724 × 3 × 52 × 132 × 17 × 173 × 283
M4,693,2178124111744804073353766.141673174.7924 × 32 × 73 × 103 × 151 × 167 × 317
M2,841,0314296308838908045398365.222393134.8033 × 23 × 37 × 53 × 83 × 239 × 313
M2,72920992768095600147.581252294.8124 × 32 × 53 × 7 × 31 × 43 × 229
M8,809,1875475378783970829260965.572563174.8328 × 32 × 7 × 13 × 19 × 23 × 107 × 317
M1,338,79128857004582660416158.001632814.8426 × 32 × 5 × 19 × 43 × 163 × 281
M91,4331843007267931559354.031392634.8722 × 34 × 67 × 127 × 139 × 263
M6,078,869582150204687454603362.34673074.9223 × 32 × 7 × 11 × 13 × 17 × 19 × 67 × 307
M2,005,91946121983315772760158.682892894.9323 × 33 × 52 × 11 × 172 × 37 × 181
M2,324,89958875514668387900159.032692934.9622 × 33 × 53 × 7 × 17 × 269 × 293
M1,173,63129806949449790631158.052892894.9832 × 5 × 172 × 137 × 263 × 271
M24,833,23384440791617865297371169.521513495.0232 × 5 × 17 × 53 × 73 × 109 × 151 × 349
M13,035,833107716634371445402628769.872933535.053 × 11 × 29 × 47 × 83 × 107 × 293 × 353
M4,025,543336726995559064836161.551393115.0522 × 3 × 5 × 11 × 107 × 137 × 139 × 311
M55,645,649177511189848949868040170.592413595.0923 × 32 × 52 × 23 × 61 × 73 × 241 × 359
M78,531,4133876087922041620061544175.042933835.1023 × 5 × 59 × 83 × 103 × 109 × 293 × 383
M10,141,06915748824598231932345767.092813475.1725 × 35 × 72 × 11 × 19 × 281 × 347
M93,607,9633287625385134198013251174.801133895.203 × 5 × 19 × 23 × 61 × 97 × 103 × 113 × 389
M252,449945832865949948753.071012775.2232 × 13 × 59 × 97 × 101 × 277
M389,5314004211472104313755.151992935.3125 × 132 × 163 × 199 × 293
M43,148,9218256832872597128906848976.133974095.3722 × 32 × 97 × 109 × 113 × 137 × 397 × 409
M157,42925155761366191809757.80713115.3823 × 32 × 13 × 29 × 31 × 43 × 71 × 311
M3,562,499304364663875843395161.402933315.393 × 52 × 11 × 19 × 281 × 293 × 331
M1,300,45720157931495498275157.481633115.4134 × 53 × 151 × 163 × 311
M7,926,7611130711444099906474361773.262114015.4725 × 33 × 11 × 47 × 113 × 167 × 211 × 401
M550,1631330644321310586443163.532713495.495 × 72 × 43 × 53 × 229 × 271 × 349
M5,455,771542536715287134691362.233433435.5124 × 33 × 73 × 11 × 29 × 67 × 157
M2,321,587232640614531711747361.012893375.5224 × 3 × 7 × 172 × 61 × 251 × 337
M43,401,37369083934438631896952169.232713835.5323 × 5 × 7 × 17 × 89 × 181 × 271 × 383
M8,655,3071988427737552692867364.11733595.6024 × 32 × 7 × 11 × 59 × 67 × 73 × 359
M3,290,201468030292889086648162.023373535.6923 × 5 × 7 × 131 × 163 × 337 × 353
M2,408,587818581227286161840162.833613615.7524 × 3 × 52 × 192 × 83 × 167 × 283
M4,531,2173026583079057212945764.712333735.7623 × 3 × 11 × 19 × 47 × 163 × 233 × 373
M59,149197942168248128150.812512935.7726 × 32 × 5 × 79 × 251 × 293
M68,398,3495438615846074066837282375.532894395.813 × 112 × 172 × 163 × 211 × 251 × 439
M7,254,8936585794036969521617765.843473835.8223 × 3 × 72 × 113 × 257 × 347 × 383
M14,219,9634035404164026389292165.132333795.8222 × 32 × 5 × 17 × 59 × 89 × 233 × 379
M280,50724842165852449657757.791133375.8325 × 7 × 23 × 37 × 61 × 113 × 337
M42,100,4773728887035265820139163374.981974395.8523 × 33 × 7 × 17 × 41 × 43 × 113 × 197 × 439
M176,067,0833131890724481718990575174.734314395.873 × 53 × 53 × 67 × 353 × 431 × 439
M3,189,4516080770394096770380165.722633895.9222 × 3 × 52 × 31 × 43 × 233 × 263 × 389
M21,582,97314549320869404034370924976.952574575.9425 × 32 × 132 × 41 × 73 × 197 × 257 × 457
M800,07773678247328811200159.351393535.9526 × 3 × 53 × 17 × 23 × 139 × 353
M666,929270243891667458508961.232563675.9928 × 3 × 7 × 11 × 13 × 43 × 167 × 367
M1,729,9211700012307661424424763.882573836.003 × 29 × 31 × 83 × 223 × 257 × 383
M4,958,8433295299134589636475164.843433896.0053 × 73 × 41 × 43 × 113 × 389

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