Mersenne numbers with smoothest P-1 factors:
Top 1,322 factors (top 100 per 10M range) listed here
Exponent Factor ↓Bits min B1 min B2 Ratio k (factored)
M118,003,031375397573096806196207057936909987053751128.1498,80124,688,949192,669.143 × 54 × 7 × 11 × 577 × 81647 × 95873 × 98801 × 24688949
M110,111,0112112269817586651744378264912534933423120.671,107,59318,748,679155,373.8132 × 17 × 19 × 29 × 383 × 563 × 25409 × 1107593 × 18748679
M15,826,8411557959868912222903757721123389359001120.23265,739276,7392,301.7622 × 3 × 53 × 37 × 6907 × 12899 × 135353 × 265739 × 276739
M109,999,889666783118027103004225810070701202271119.01173,4972,990,88125,132.465 × 7 × 71 × 4931 × 9067 × 52571 × 173497 × 2990881
M123,999,52329965428694124514266370746623260209114.53220,217496,0194,330.9523 × 13 × 29 × 1129 × 1871 × 173629 × 220217 × 496019
M134,999,1732172255785916506905498043102798927110.74128,20330,232,931273,001.277 × 401 × 16993 × 43517 × 128203 × 30232931
M324,000,1692107736488354350041793600141033289110.70529,237934,7238,443.8022 × 32 × 53 × 17761 × 194027 × 529237 × 934723
M502,000,0272107472748472812989445447752584121110.70113,7771,099,0819,928.5422 × 5 × 3089 × 12569 × 21617 × 113777 × 1099081
M90,960,127332102845327911778348547844397153108.0365,62996,431892.6024 × 3 × 7 × 17 × 19 × 277 × 2687 × 3571 × 65629 × 96431
M332,286,169156394415748210686875406280597473106.95207,2931,399,43913,085.3624 × 17 × 45587 × 65423 × 207293 × 1399439
M22,327,483154207121335138588922884809229961106.9359,957604,8595,656.7722 × 5 × 72 × 19 × 29 × 257 × 263 × 2609 × 59957 × 604859
M291,715,11798225640025976412553706760976457106.28561,3475,877,76355,306.6622 × 61 × 6047 × 34583 × 561347 × 5877763
M146,040,84746763605829499020357913080104583105.21336,04121,052,219200,106.341327 × 2267 × 7523 × 336041 × 21052219
M22,366,48142592291123677627068672456040799105.0716,649938,2638,929.853 × 857 × 1481 × 3691 × 4337 × 16649 × 938263
M103,009,97940919855648181690280018449570881105.01374,8933,480,29933,141.7425 × 5 × 23 × 97 × 347 × 1229 × 374893 × 3480299
M90,251,19120630591906578680372764523039503104.0315,74935,521341.4719 × 23 × 167 × 887 × 1187 × 2659 × 15749 × 35521
M35,003,32918992960911745014697035773340937103.9183,791105,2111,012.5722 × 112 × 83 × 19991 × 38321 × 83791 × 105211
M577,777,77714208317633332733265225951551519103.49578,4835,385,26952,038.3737357 × 105653 × 578483 × 5385269
M332,332,59711824502017310535973813596981521103.22207,079400,3813,878.8523 × 5 × 53 × 4021 × 25171 × 207079 × 400381
M332,213,17711565147508133829685623092750761103.19148,42922,974,739222,645.9822 × 33 × 5 × 761 × 12421 × 148429 × 22974739
M104,999,10711295511745443042470094838181719103.16138,629168,2471,631.0031 × 1049 × 4943 × 14347 × 138629 × 168247
M332,250,1998889604618507813689470278581551102.81198,0832,167,09321,078.6352 × 7 × 4909 × 36277 × 198083 × 2167093
M143,665,2597064116640624236958951093273591102.4841,231245,6532,397.125 × 7 × 19 × 23 × 7243 × 21911 × 41231 × 245653
M90,638,6776722148325771231226358532686721102.4112,96783,497815.3526 × 35 × 5 × 79 × 619 × 9007 × 12967 × 83497
M332,219,5396157103818187609775710294086831102.281,518,69119,058,287186,334.273 × 5 × 613 × 34819 × 1518691 × 19058287
M332,198,6815414284231543658478199587186241102.10830,8611,320,25112,931.6425 × 32 × 5 × 1949 × 2647 × 830861 × 1320251
M108,999,2834248174441292756761962085395809101.75126,493276,0112,712.7824 × 3 × 137 × 701 × 121081 × 126493 × 276011
M10,223,3273299613891631433703277191374977101.3892,683187,7871,852.3126 × 32 × 1279 × 1787 × 7043 × 92683 × 187787
M91,200,2713069815806085172665022491248033101.2818,83939,989394.8524 × 3 × 31 × 1013 × 1487 × 9967 × 18839 × 39989
M125,000,9211623164609799334015524462053609100.36233,9211,690,88316,848.7422 × 353 × 569 × 20431 × 233921 × 1690883
M10,563,47390251445277395513847695563532799.5136,319177,8391,787.153 × 73 × 163 × 1201 × 32833 × 36319 × 177839
M22,057,59184138900347681995520103804232999.41297,371326,0233,279.6222 × 3 × 7 × 28477 × 82241 × 297371 × 326023
M333,070,64368686102516261096456512865981799.1218,973409,7694,134.2422 × 23 × 37 × 5521 × 7057 × 18973 × 409769
M135,999,31967599916340418859845042031557799.09689,23731,003,561312,873.5722 × 32 × 367 × 8803 × 689237 × 31003561
M122,000,39367461673657823527356215722108799.09975,80323,332,297235,465.75103 × 239 × 4933 × 975803 × 23332297
M103,000,54959185508530849856500906848300198.901,038,01713,644,203137,957.9722 × 3 × 53 × 13 × 101 × 103 × 1038017 × 13644203
M117,999,25142551599815977843286529292680798.43177,53911,612,057117,978.5819 × 6607 × 6967 × 177539 × 11612057
M95,001,36736242828540806484666984754455398.194,09910,739109.3722 × 13 × 29 × 43 × 97 × 103 × 211 × 317 × 4099 × 10739
M13,527,79930217660462760771080024397535197.9333,773200,2972,045.283 × 52 × 347 × 3529 × 17977 × 33773 × 200297
M112,412,31728420046886857761397762533259397.84756,88138,331,763391,768.7723 × 13 × 43 × 9743 × 756881 × 38331763
M102,999,65322876876120839860907462419664197.5349,1213,317,23334,012.5124 × 3 × 5 × 19 × 293 × 5101 × 49121 × 3317233
M123,999,43321936077813428646825595434366397.4710,97310,245,643105,116.7097 × 167 × 463 × 1049 × 10973 × 10245643
M71,559,43120637103883446929130075473991397.383,0833,67137.7022 × 33 × 19 × 79 × 311 × 1559 × 1621 × 3083 × 3671
M332,318,08717575151232713034436789412704797.1583,177255,3612,628.54331 × 5623 × 6689 × 83177 × 255361
M100,999,18916834767929721484238337364381797.0919,47718,660,890,959192,207,216.5822 × 72 × 11699 × 19477 × 18660890959
M22,773,82713742843754783060020997359515396.7954,269829,0638,565.1823 × 3 × 192 × 277 × 27943 × 54269 × 829063
M113,999,53912940343142373699288795320288796.7138,921242,7892,510.543 × 113 × 6263 × 28289 × 38921 × 242789
M90,805,53111957057802457003945843941003196.5917,90367,211695.813 × 5 × 19 × 232 × 1229 × 2953 × 17903 × 67211
M90,806,08111443177124950301412095348157796.5363,12782,651856.2222 × 35 × 13 × 2699 × 3541 × 63127 × 82651
M48,421,10311206734511958010700465517287196.502,5033,06731.785 × 11 × 79 × 191 × 239 × 353 × 2153 × 2503 × 3067

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