Mersenne numbers with smoothest P-1 factors:
Top 712 factors (top 100 per 10M range) listed here
Exponent Factor Bits min B1min B2 Ratio k (factored)
M44,355,307126466464476673305237361984375001106.641,953,1251,953,12518,315.0522 × 3 × 59 × 17 × 36209 × 252731 × 390989
M344,101,117327159431287639319574914584833878554471127.941,595,45326,158,507204,453.963 × 5 × 41 × 139 × 253681 × 525253 × 1595453 × 26158507
M1,187,803180153864303424969999558424827024324050497137.051,254,9711,258,5119,182.9825 × 7 × 17 × 83 × 149 × 2087 × 2689 × 4999 × 36343 × 1254971 × 1258511
M3,764,77330765908815864935017721933245161473305593134.501,232,3891,337,3599,943.3022 × 3 × 43 × 109 × 647 × 9497 × 66763 × 107449 × 1232389 × 1337359
M110,111,0112112269817586651744378264912534933423120.671,107,59318,748,679155,373.8132 × 17 × 19 × 29 × 383 × 563 × 25409 × 1107593 × 18748679
M44,005,9211311614458045509573867618417896897110.021,061,1076,058,87955,073.2225 × 41 × 32077 × 55079 × 1061107 × 6058879
M332,264,49715332269681406403050019823853901889113.561,059,06153,935,031474,938.5425 × 3 × 31 × 269 × 504563 × 1059061 × 53935031
M91,068,6414221991341726269002954122415938161111.70849,4194,293,07138,433.4123 × 5 × 37 × 317 × 859 × 15773 × 849419 × 4293071
M49,500,09131635414223272907617393753133493761114.61844,7091,530,56913,354.9228 × 3 × 5 × 245941 × 261707 × 844709 × 1530569
M2,387,249490344897451496050629443590471559108.60817,277836,8817,706.418363 × 57119 × 314339 × 817277 × 836881
M69,252,709388846469071789640842798743803390069863128.19740,3512,112,54116,479.453 × 293 × 563 × 1597 × 21523 × 105527 × 740351 × 2112541
M4,745,267210934588472654482000860430131127107.38739,8291,420,93313,232.9433 × 13 × 17 × 109 × 571 × 56929 × 739829 × 1420933
M47,625,9437125206606581478563794834571497809112.46738,8636,357,19356,530.2123 × 409 × 10589 × 459649 × 738863 × 6357193
M46,775,1294282806619841375669149433269263311111.72701,3594,616,47341,321.015 × 11 × 1303 × 7573 × 26053 × 701359 × 4616473
M88,407,99751074533355497472508452304324907249115.30686,6391,909,81116,564.1123 × 35 × 72 × 31 × 241 × 309523 × 686639 × 1909811
M90,233,141439678601781169170027757144438063108.44679,2972,434,78722,453.2333 × 43 × 10733 × 118213 × 679297 × 2434787
M80,264,563323894707775100416325851657052806783117.96673,3491,439,57912,203.6519 × 8779 × 19121 × 652627 × 673349 × 1439579
M47,366,5132643434148720614657262028267894247111.03662,353723,8596,519.7229 × 67 × 467 × 2063 × 31091 × 662353 × 723859
M86,323,771135437748540570445736815359194711167116.71660,337971,8218,327.153 × 71 × 89 × 149159 × 432323 × 660337 × 971821
M71,746,099475327927128613139507425624855391108.55659,189701,7196,464.445 × 17 × 563 × 1201 × 124601 × 659189 × 701719
M91,426,3936676517298558762481364387959135721112.36645,87712,943,981115,198.1822 × 5 × 43 × 113 × 409 × 109883 × 645877 × 12943981
M89,953,4712788993444537242575813230277100487111.10640,1531,533,79313,805.103 × 41 × 577 × 14779 × 15053 × 640153 × 1533793
M83,291,827666295551813326374501692100685063109.04624,541691,8916,345.4283 × 303089 × 367949 × 624541 × 691891
M87,181,249432962965774860494449086469106489108.42620,8271,030,2199,502.4722 × 3931 × 13627 × 18119 × 620827 × 1030219
M71,952,3198772575360803528256703544565094935671122.72615,497711,6495,798.8532 × 5 × 112 × 20789 × 26821 × 45841 × 615497 × 711649
M3,101,45929703678247969690756317730494161104.55614,749620,4915,934.8523 × 5 × 13 × 229 × 2137 × 49333 × 614749 × 620491
M284,4831095020038434688556178073932975593109.76613,1631,375,30312,530.7122 × 5653 × 228023 × 442633 × 613163 × 1375303
M81,990,457108902798747573438688068625623850781441126.36609,9231,799,71314,243.1627 × 33 × 5 × 47 × 373 × 4139 × 482527 × 609923 × 1799713
M67,156,603306007141204293856739924224703041107.92600,2831,120,08110,379.2625 × 32 × 5 × 41 × 6983 × 8219 × 600283 × 1120081
M66,965,33314040925936648387757766050570941897113.44596,653839,0097,396.3722 × 32 × 13 × 1901 × 2243 × 104947 × 596653 × 839009
M86,561,14925547741080671669073692967604586137114.30595,291635,2795,558.0622 × 53 × 211 × 307 × 1787 × 15901 × 595291 × 635279
M52,556,92311807082829215921976116857702927422849657133.12589,0211,105,3098,303.3022 × 35 × 67 × 79 × 1259 × 109717 × 242773 × 589021 × 1105309
M81,685,7537120523289813462373499147940972756151122.42587,7731,461,35911,937.123 × 52 × 509 × 2393 × 5851 × 94933 × 587773 × 1461359
M86,712,73913444035741208241834077025208257609113.37585,061918,9438,105.5222 × 173 × 373 × 1033 × 540769 × 585061 × 918943
M49,993,589128203888100422458553918391701051343116.63581,8914,504,93938,627.2519 × 5503 × 12119 × 386017 × 581891 × 4504939
M50,487,78115533973950639553683474990068165121113.58581,8091,048,2619,229.1928 × 5 × 13 × 59 × 1861 × 138059 × 581809 × 1048261
M86,270,59387086749091426073473652028596980089116.07580,8891,065,3919,179.0222 × 32 × 132 × 17 × 19 × 23 × 37 × 487681 × 580889 × 1065391
M82,860,96148015927448924347956908353305618012311125.18574,9631,028,8038,218.933 × 5 × 11 × 117071 × 149257 × 169889 × 574963 × 1028803
M80,429,8631534462569585865059971697998146513110.24570,6831,125,49910,209.4123 × 37 × 7 × 103 × 107 × 11003 × 570683 × 1125499
M90,230,53318679284268158177698225198717247306867073133.78560,0811,804,50113,488.7226 × 35 × 13 × 431 × 1373 × 5273 × 162343 × 560081 × 1804501
M54,123,28113388519897748181096604133770431323679123.33557,831841,4576,822.683 × 659 × 21611 × 24103 × 255877 × 557831 × 841457
M13,828,2611979553586274192263311048622055057969120.58556,5591,039,0678,617.6323 × 13 × 71 × 397 × 160751 × 262651 × 556559 × 1039067
M83,738,12923481243009743691576006367315666919114.18554,2691,129,3339,891.0711 × 59 × 271 × 647 × 751 × 2621 × 554269 × 1129333
M72,025,4118144149230612711262471777697484833112.65554,0512,052,31718,218.6224 × 13 × 557 × 929 × 461957 × 554051 × 2052317
M90,637,55350372915688071635203772506465064751309351135.21542,401548,8934,059.5752 × 17 × 19 × 61 × 229 × 401 × 95819 × 215351 × 542401 × 548893
M72,483,041355915443529857181791168143743183108.13541,3631,077,6079,965.553 × 89 × 283 × 419 × 132929 × 541363 × 1077607
M40,618,999524124196882059493423274896878401108.69533,6932,829,47326,032.1225 × 52 × 10771 × 495829 × 533693 × 2829473
M77,196,407417494342608057466418323496316871108.36533,413677,1136,248.545 × 257 × 13829 × 421313 × 533413 × 677113
M324,000,1692107736488354350041793600141033289110.70529,237934,7238,443.8022 × 32 × 53 × 17761 × 194027 × 529237 × 934723
M46,983,7875934251633528506939512891894321712223122.16524,2311,798,38714,721.7511 × 313 × 571 × 937 × 1999 × 18191 × 524231 × 1798387

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