Mersenne numbers with smoothest P-1 factors:
Top 100 factors (top 100 per 10M range) listed here
ExponentFactor Bits min B1 min B2 Ratio k (factored)
M138,742,7591646497814180973237355173.802392513.4052 × 19 × 71 × 139 × 211 × 239 × 251
M122,878,5371013832935262112599744773.102392773.793 × 72 × 107 × 173 × 229 × 239 × 277
M106,798,8733427353744919710644253774.863433434.5822 × 32 × 73 × 11 × 109 × 137 × 239 × 331
M98,921,0511964583817872706988476155184.022292813.3433 × 52 × 7 × 132 × 17 × 19 × 31 × 193 × 229 × 281
M93,607,9633287625385134198013251174.801133895.203 × 5 × 19 × 23 × 61 × 97 × 103 × 113 × 389
M93,429,0732091880747634206897536174.153734195.6527 × 3 × 5 × 7 × 223 × 239 × 373 × 419
M88,695,571568753614152469311227372.27813174.3923 × 34 × 7 × 11 × 17 × 43 × 47 × 59 × 317
M78,531,4133876087922041620061544175.042933835.1023 × 5 × 59 × 83 × 103 × 109 × 293 × 383
M70,349,033902248512026028521437772.932933474.7622 × 11 × 172 × 193 × 257 × 293 × 347
M68,398,3495438615846074066837282375.532894395.813 × 112 × 172 × 163 × 211 × 251 × 439
M59,059,1833606759547420158445192974.933433434.5822 × 3 × 73 × 11 × 41 × 73 × 103 × 131 × 167
M58,980,811332615335192742594335171.492332693.7652 × 7 × 17 × 37 × 61 × 67 × 233 × 269
M58,029,469925287388213872244504772.971732773.8037 × 47 × 67 × 109 × 131 × 173 × 277
M55,645,649177511189848949868040170.592413595.0923 × 32 × 52 × 23 × 61 × 73 × 241 × 359
M49,839,8091834054527468916509271373.961913474.6922 × 33 × 7 × 23 × 43 × 47 × 79 × 191 × 347
M43,401,37369083934438631896952169.232713835.5323 × 5 × 7 × 17 × 89 × 181 × 271 × 383
M43,148,9218256832872597128906848976.133974095.3722 × 32 × 97 × 109 × 113 × 137 × 397 × 409
M33,753,30143147874319497665200168.551251372.0024 × 32 × 53 × 7 × 43 × 79 × 109 × 137
M31,693,3091157576634818899223071173.291992573.515 × 11 × 13 × 19 × 31 × 61 × 139 × 199 × 257
M24,833,23384440791617865297371169.521513495.0232 × 5 × 17 × 53 × 73 × 109 × 151 × 349
M24,791,28137004774862992268384168.331691692.4725 × 33 × 5 × 132 × 29 × 31 × 83 × 137
M21,026,7419784170647687326908766.412433114.6835 × 112 × 43 × 61 × 97 × 311
M20,045,49714418835177195971408166.971912413.6024 × 3 × 5 × 43 × 67 × 113 × 191 × 241
M20,005,1599118695549107749999366.312813174.7822 × 3 × 79 × 137 × 197 × 281 × 317
M19,570,2539857162665998508931366.422273535.3124 × 132 × 59 × 197 × 227 × 353
M18,862,87112863648014781295672166.801732814.2123 × 32 × 5 × 17 × 73 × 157 × 173 × 281
M17,764,93928919097295278975523367.97891932.8424 × 3 × 7 × 11 × 41 × 53 × 59 × 89 × 193
M16,924,8715732621175379837060165.641073134.7722 × 52 × 7 × 29 × 47 × 53 × 107 × 313
M16,339,48317856075965556034833767.281792633.9123 × 3 × 19 × 29 × 67 × 131 × 179 × 263
M15,637,7599056588331903867315166.301733134.7232 × 52 × 11 × 17 × 31 × 41 × 173 × 313
M14,726,4979577496457702738235166.383613615.4452 × 11 × 192 × 23 × 47 × 157 × 193
M13,035,833107716634371445402628769.872933535.053 × 11 × 29 × 47 × 83 × 107 × 293 × 353
M12,718,70911428786704202836441766.631573375.0626 × 3 × 29 × 101 × 151 × 157 × 337
M11,802,19110605154259460612519166.522692934.4033 × 5 × 31 × 53 × 257 × 269 × 293
M10,264,84311508171659261430158366.641573134.7013 × 19 × 61 × 67 × 113 × 157 × 313
M10,200,79712278367142302396508966.731912774.1524 × 3 × 7 × 31 × 67 × 163 × 191 × 277
M10,141,06915748824598231932345767.092813475.1725 × 35 × 72 × 11 × 19 × 281 × 347
M8,812,3612369597689339317085764.362232293.5622 × 7 × 53 × 113 × 157 × 223 × 229
M8,809,1875475378783970829260965.572563174.8328 × 32 × 7 × 13 × 19 × 23 × 107 × 317
M8,776,0516937629368111696176165.911391912.9024 × 5 × 13 × 37 × 53 × 73 × 139 × 191
M8,655,3071988427737552692867364.11733595.6024 × 32 × 7 × 11 × 59 × 67 × 73 × 359
M8,115,5511540473648663727107163.742432433.8135 × 5 × 112 × 29 × 31 × 43 × 167
M7,977,7313220235287713596252964.80891973.0424 × 72 × 29 × 61 × 83 × 89 × 197
M7,926,7611130711444099906474361773.262114015.4725 × 33 × 11 × 47 × 113 × 167 × 211 × 401
M7,536,8693148766275202441559164.771812774.2832 × 5 × 89 × 101 × 103 × 181 × 277
M7,196,0233227898023986313436164.811032333.6022 × 3 × 5 × 11 × 37 × 43 × 89 × 103 × 233
M7,174,5295627245779174050920165.612333114.7423 × 52 × 7 × 29 × 31 × 43 × 233 × 311
M6,943,6612673450510477163560164.542432433.7723 × 35 × 52 × 11 × 13 × 19 × 61 × 239
M6,078,869582150204687454603362.34673074.9223 × 32 × 7 × 11 × 13 × 17 × 19 × 67 × 307
M5,517,167524857675438796056162.1983891.4323 × 5 × 7 × 41 × 71 × 79 × 83 × 89

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