Mersenne numbers with smoothest P-1 factors:
Top 2,229 factors (top 100 per 10M range) listed here
Exponent Factor Bits min B1 min B2 Ratiok (factored)
M5,517,167524857675438796056162.1983891.4323 × 5 × 7 × 41 × 71 × 79 × 83 × 89
M70,97958509788023944149.0681811.6523 × 34 × 5 × 19 × 23 × 41 × 71
M9,4331567758176127143.8361731.6732 × 5 × 11 × 13 × 29 × 61 × 73
M1,019,25714910057171459453757.051031091.9122 × 32 × 37 × 67 × 73 × 103 × 109
M33,753,30143147874319497665200168.551251372.0024 × 32 × 53 × 7 × 43 × 79 × 109 × 137
M990,05319566702053100100957.441271372.3923 × 32 × 11 × 71 × 101 × 127 × 137
M3,873,9411054709316128149591163.191071512.395 × 7 × 13 × 23 × 83 × 97 × 107 × 151
M24,791,28137004774862992268384168.331691692.4725 × 33 × 5 × 132 × 29 × 31 × 83 × 137
M123,34121240805178671747357.561011492.5924 × 34 × 72 × 17 × 53 × 101 × 149
M343,0515077430400655431155.49611572.8333 × 5 × 7 × 13 × 17 × 37 × 61 × 157
M17,764,93928919097295278975523367.97891932.8424 × 3 × 7 × 11 × 41 × 53 × 59 × 89 × 193
M2,405,39975203235475165512159.381691692.8523 × 32 × 5 × 11 × 132 × 37 × 59 × 107
M1,389,623696444836549181888162.59671792.8626 × 3 × 5 × 7 × 17 × 31 × 59 × 67 × 179
M8,776,0516937629368111696176165.911391912.9024 × 5 × 13 × 37 × 53 × 73 × 139 × 191
M2,823,4375927453047133319902365.681491973.007 × 11 × 13 × 29 × 97 × 127 × 149 × 197
M498,4975889997539099273755.711691693.0324 × 34 × 7 × 11 × 132 × 31 × 113
M7,977,7313220235287713596252964.80891973.0424 × 72 × 29 × 61 × 83 × 89 × 197
M429,4672660439315569655571364.531091993.0825 × 32 × 31 × 41 × 47 × 83 × 109 × 199
M2,487,49376220428212709177759.40971913.2225 × 7 × 19 × 29 × 67 × 97 × 191
M1,313,219174568133671489348960.601491973.2523 × 3 × 17 × 19 × 23 × 127 × 149 × 197
M98,921,0511964583817872706988476155184.022292813.3433 × 52 × 7 × 132 × 17 × 19 × 31 × 193 × 229 × 281
M3,605,293760506246846218265762.721282113.3627 × 3 × 37 × 59 × 67 × 89 × 211
M5,155,861565868103257042674362.301392113.3932 × 7 × 47 × 71 × 89 × 139 × 211
M138,742,7591646497814180973237355173.802392513.4052 × 19 × 71 × 139 × 211 × 239 × 251
M31,693,3091157576634818899223071173.291992573.515 × 11 × 13 × 19 × 31 × 61 × 139 × 199 × 257
M8,812,3612369597689339317085764.362232293.5622 × 7 × 53 × 113 × 157 × 223 × 229
M5,012,5494765831908202961848965.371092333.5622 × 34 × 71 × 79 × 103 × 109 × 233
M7,196,0233227898023986313436164.811032333.6022 × 3 × 5 × 11 × 37 × 43 × 89 × 103 × 233
M20,045,49714418835177195971408166.971912413.6024 × 3 × 5 × 43 × 67 × 113 × 191 × 241
M3,658,201324631830161474065761.491932233.6323 × 73 × 127 × 139 × 193 × 223
M5,201,9931629222089110183444963.821032333.6523 × 3 × 7 × 11 × 17 × 31 × 67 × 103 × 233
M58,980,811332615335192742594335171.492332693.7652 × 7 × 17 × 37 × 61 × 67 × 233 × 269
M6,943,6612673450510477163560164.542432433.7723 × 35 × 52 × 11 × 13 × 19 × 61 × 239
M122,878,5371013832935262112599744773.102392773.793 × 72 × 107 × 173 × 229 × 239 × 277
M58,029,469925287388213872244504772.971732773.8037 × 47 × 67 × 109 × 131 × 173 × 277
M8,115,5511540473648663727107163.742432433.8135 × 5 × 112 × 29 × 31 × 43 × 167
M1,040,15915488793306584294357.101912233.917 × 29 × 79 × 109 × 191 × 223
M16,339,48317856075965556034833767.281792633.9123 × 3 × 19 × 29 × 67 × 131 × 179 × 263
M1,351,81339042179081683975158.441252333.9953 × 31 × 41 × 47 × 83 × 233
M18,862,87112863648014781295672166.801732814.2123 × 32 × 5 × 17 × 73 × 157 × 173 × 281
M913,33723830997496003675157.732432434.2135 × 53 × 113 × 191 × 199
M7,536,8693148766275202441559164.771812774.2832 × 5 × 89 × 101 × 103 × 181 × 277
M88,695,571568753614152469311227372.27813174.3923 × 34 × 7 × 11 × 17 × 43 × 47 × 59 × 317
M410,0871913327496628800154.091252394.4226 × 3 × 53 × 72 × 83 × 239
M5,304,4611544336421443207035363.741392834.4423 × 33 × 19 × 71 × 127 × 139 × 283
M60,383129171274387279950.201912234.443 × 13 × 47 × 137 × 191 × 223
M2,692,643197500938934644427360.781972714.4623 × 3 × 17 × 113 × 149 × 197 × 271
M59,059,1833606759547420158445192974.933433434.5822 × 3 × 73 × 11 × 41 × 73 × 103 × 131 × 167
M823,33755509386514627274358.952512714.6034 × 17 × 59 × 61 × 251 × 271
M49,839,8091834054527468916509271373.961913474.6922 × 33 × 7 × 23 × 43 × 47 × 79 × 191 × 347

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