Mersenne numbers with smoothest P-1 factors:
Top 712 factors (top 100 per 10M range) listed here
Exponent Factor Bitsmin B1 min B2 Ratio k (factored)
M78,724,411734277451864747167510502805298930545450478445879159.01367,7391,662,14910,453.3132 × 712 × 972 × 151 × 257 × 653 × 1039 × 6959 × 97549 × 367739 × 1662149
M74,433,9078851585217744433227501340616144864335985889142.67332,7111,678,40911,764.5324 × 13 × 17 × 151 × 307 × 571 × 1607 × 2539 × 278813 × 332711 × 1678409
M90,368,7232062804097524395327964177243306753755087887140.57213,6112,959,30121,052.81421 × 1931 × 3343 × 5569 × 26723 × 44641 × 213611 × 2959301
M390,4791957624278709340579880052055465517454027847140.49461,051492,7193,507.1413 × 31 × 137 × 307 × 12149 × 15427 × 46807 × 74209 × 461051 × 492719
M67,825,4531722206812177416217749744344545878167459479140.31378,277747,4275,327.153 × 17 × 29 × 79 × 1447 × 24481 × 31039 × 349529 × 378277 × 747427
M42,759,6111710707474993819843765393982449905030927777140.30385,37910,067,37171,758.2924 × 33 × 31 × 353 × 479 × 1291 × 6277 × 280979 × 385379 × 10067371
M92,617,1931175619298002469430597399521162713999664087139.75127,7276,152,49144,023.593 × 19 × 107 × 199 × 2161 × 6907 × 10181 × 43789 × 127727 × 6152491
M55,493,563302770551709636967279596431237539393266369137.80170,2792,255,19116,366.0125 × 3 × 7 × 29 × 503 × 47711 × 99787 × 152219 × 170279 × 2255191
M1,187,803180153864303424969999558424827024324050497137.051,254,9711,258,5119,182.9825 × 7 × 17 × 83 × 149 × 2087 × 2689 × 4999 × 36343 × 1254971 × 1258511
M67,894,507118932379415737719145680729417648731019161136.45370,4232,251,94316,503.8922 × 5 × 19 × 2897 × 15667 × 214589 × 283697 × 370423 × 2251943
M90,637,55350372915688071635203772506465064751309351135.21542,401548,8934,059.5752 × 17 × 19 × 61 × 229 × 401 × 95819 × 215351 × 542401 × 548893
M3,764,77330765908815864935017721933245161473305593134.501,232,3891,337,3599,943.3022 × 3 × 43 × 109 × 647 × 9497 × 66763 × 107449 × 1232389 × 1337359
M90,230,53318679284268158177698225198717247306867073133.78560,0811,804,50113,488.7226 × 35 × 13 × 431 × 1373 × 5273 × 162343 × 560081 × 1804501
M52,556,92311807082829215921976116857702927422849657133.12589,0211,105,3098,303.3022 × 35 × 67 × 79 × 1259 × 109717 × 242773 × 589021 × 1105309
M51,767,5874287546212756665748947038205777929154321131.6682,5911,773,90713,473.8723 × 33 × 5 × 6829 × 9461 × 54623 × 74159 × 82591 × 1773907
M55,501,4994185864995365978016690272528312914075119131.62147,139965,4077,334.76149 × 8623 × 17807 × 79579 × 145807 × 147139 × 965407
M72,023,4674021910401167038711547288780767627169551131.56478,7871,095,7138,328.4252 × 13 × 17 × 29 × 31 × 61 × 139 × 3433 × 368111 × 478787 × 1095713
M60,809,6212905866497364711208590790240514270083169131.09329,2091,341,86310,235.8724 × 271 × 1451 × 3037 × 13441 × 210601 × 329209 × 1341863
M73,068,4392706068649427583903118720272427115812361130.99366,9832,107,52916,089.0622 × 3 × 5 × 19 × 29 × 167 × 191 × 523 × 967 × 44893 × 366983 × 2107529
M76,282,3431100703310223101784429057504873742480439129.69101,3231,068,7038,240.213 × 7 × 53 × 709 × 28663 × 35537 × 82891 × 101323 × 1068703
M80,389,5011076750854477193458085593196594593248943129.6622,5491,099,7998,482.053 × 7 × 13 × 1283 × 1933 × 3793 × 6451 × 16301 × 22549 × 1099799
M49,018,6991036176351584867483876489705678886019057129.61171,937194,8631,503.5023 × 3 × 53 × 131 × 1117 × 4937 × 13399 × 25621 × 171937 × 194863
M75,490,157942567142014977676068132544342253389409129.47147,793502,3393,879.9724 × 34 × 43 × 859 × 6353 × 15991 × 17291 × 147793 × 502339
M39,993,869865479351028708028377260890582073995281129.35368,449666,2035,150.5223 × 3 × 5 × 31 × 311 × 6072 × 3217 × 33149 × 357293 × 666203
M44,287,279856499762737611127433267716347749399639129.33345,81712,346,82395,466.32192 × 37 × 739 × 3779 × 4337 × 13999 × 345817 × 12346823
M74,524,399747679029252426826532803512346176559241129.1477,573414,3833,208.9022 × 5 × 112 × 1151 × 25243 × 32051 × 69247 × 77573 × 414383
M49,155,443703840035380105902924574754576835258753129.05100,1033,914,11130,330.5426 × 3 × 4673 × 9467 × 32003 × 67219 × 100103 × 3914111
M46,821,793673451873270551092348474202195198626881128.9996,8232,346,85718,194.8325 × 5 × 7 × 11 × 47 × 599 × 2309 × 4019 × 9833 × 96823 × 2346857
M60,808,259592791747603566405334727072882584265279128.80407,311437,4133,396.043 × 22013 × 25219 × 41999 × 391133 × 407311 × 437413
M81,408,911515915621113284589965054291244700204201128.60120,3311,255,4539,762.4322 × 52 × 59 × 109 × 15559 × 35863 × 58451 × 120331 × 1255453
M1,214,959511832698428938598163967328408513076439128.59216,421323,8992,518.877 × 491 × 2861 × 25733 × 102587 × 115757 × 216421 × 323899
M56,562,059431792856522106727648703693953106009449128.34304,4291,215,2719,468.8922 × 113 × 1627 × 1777 × 5443 × 123143 × 304429 × 1215271
M69,252,709388846469071789640842798743803390069863128.19740,3512,112,54116,479.453 × 293 × 563 × 1597 × 21523 × 105527 × 740351 × 2112541
M118,003,031375397573096806196207057936909987053751128.1498,80124,688,949192,669.143 × 54 × 7 × 11 × 577 × 81647 × 95873 × 98801 × 24688949
M76,928,147364499258648857845320223014691516322351128.10398,821607,3074,740.913 × 52 × 541 × 1627 × 1823 × 8269 × 9829 × 398821 × 607307
M81,713,939353858467647709115308094848147823710871128.06439,8231,267,5779,898.585 × 13 × 43 × 701 × 2423 × 16433 × 49783 × 439823 × 1267577
M344,101,117327159431287639319574914584833878554471127.941,595,45326,158,507204,453.963 × 5 × 41 × 139 × 253681 × 525253 × 1595453 × 26158507
M90,126,433284799487774033594964085810386474865767127.7447,11912,856,153100,640.597 × 19 × 223 × 271 × 2273 × 6257 × 22817 × 47119 × 12856153
M56,522,203269358208514326405627718441875474548889127.66322,271572,9634,488.1022 × 32 × 19 × 443 × 1831 × 134609 × 172787 × 322271 × 572963
M46,588,579248899426060465101893309100731164569367127.55469,811684,7735,368.713 × 7 × 17 × 23 × 229 × 4259 × 15377 × 67427 × 469811 × 684773
M45,836,051242964050202234127772015401466629634879127.51210,0112,069,76116,231.647 × 103 × 349 × 2647 × 63793 × 143501 × 210011 × 2069761
M78,282,691217694933418897765124195012386876677201127.36154,487186,6891,465.8923 × 52 × 7603 × 11549 × 39119 × 70177 × 154487 × 186689
M78,613,361167154870810800354055615290945501103113126.9790,247842,3536,634.0422 × 139 × 4481 × 7121 × 16381 × 48121 × 90247 × 842353
M65,004,239165261465754251734316112575553851897089126.9686,5611,573,96912,397.5527 × 5881 × 9221 × 25913 × 51871 × 86561 × 1573969
M83,146,447157544242604295371624341861542903804983126.89311,7111,929,48115,206.0511 × 13 × 197 × 9817 × 64601 × 88169 × 311711 × 1929481
M81,990,457108902798747573438688068625623850781441126.36609,9231,799,71314,243.1627 × 33 × 5 × 47 × 373 × 4139 × 482527 × 609923 × 1799713
M60,598,09191559406498269750876942963604753872777126.11254,519579,4334,594.8122 × 73 × 13 × 233 × 59 × 6089 × 65707 × 254519 × 579433
M76,656,00189404804980321142562090118479945708207126.0764,92194,771751.7211 × 23 × 53 × 1151 × 8737 × 11159 × 62989 × 64921 × 94771
M72,657,63169148281223400569919388111225205698697125.70207,721395,6713,147.7122 × 32 × 71 × 349 × 523 × 881 × 1187 × 11867 × 207721 × 395671
M45,001,21155062473074260323676300727171302587521125.37282,1032,166,67317,281.9026 × 3 × 5 × 11 × 79 × 101 × 419 × 1907 × 14867 × 282103 × 2166673

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