Mersenne numbers with smoothest P-1 factors:
Top 1,322 factors (top 100 per 10M range) listed here
Exponent Factor Bits min B1 min B2Ratio k (factored)
M120,581,291557462078511319798439372.2445,778,903,114,73979,996,594,956.6122 × 5778903114739
M103,715,039237899146625661421883371.0181,433,610,478,04320,188,614,530.4123 × 1433610478043
M104,204,959309907162530957061103971.39131,143,852,112,75716,022,059,728.0213 × 1143852112757
M117,231,22956624431476301677406368.943805,024,849,31311,677,183,148.803 × 805024849313
M103,609,46938491554134169379531968.389206,392,301,2793,018,176,855.8132 × 206392301279
M321,797,123183598398036895594998676180.60967147,502,800,2091,829,995,352.8922 × 5 × 967 × 147502800209
M149,497,3331734205139576530130488173.8811131,820,924,0971,784,337,107.7323 × 5 × 11 × 131820924097
M102,813,643613482773282021567767372.3819130,853,933,3591,807,936,308.5322 × 3 × 19 × 130853933359
M101,343,799138194964641896499279370.233746,068,421,073655,991,187.5322 × 37 × 46068421073
M100,999,18916834767929721484238337364381797.0919,47718,660,890,959192,207,216.5822 × 72 × 11699 × 19477 × 18660890959
M102,071,99354288286984541869372968.881618,467,455,267268,113,661.3124 × 32 × 18467455267
M121,668,931240475051883074463726371.0364715,274,115,083215,048,488.75647 × 15274115083
M107,964,349155944743675107899155170.402513,756,282,039195,397,501.053 × 52 × 7 × 13756282039
M107,479,441167724167374742751561770.51167,740,690,761109,786,784.4124 × 32 × 7 × 7740690761
M112,721,317271597874610535224186715981.173,8513,487,581,42142,967,577.313 × 13 × 23 × 3851 × 3487581421
M102,171,961262313511276698552559171.151091,121,613,27115,763,670.813 × 5 × 7 × 109 × 1121613271
M104,056,09312346382127571430215366.7411642,052,0439,619,816.4222 × 3 × 7 × 11 × 642052043
M101,103,31945333255677381955252768.621,307571,774,3378,332,579.023 × 1307 × 571774337
M115,775,58160920628074156158139969.055,041521,916,1197,559,017.95712 × 521916119
M103,578,157114506713824198693535969.961,889325,130,9474,647,654.3632 × 1889 × 325130947
M178,497,58910248114003712719748450376.44163307,193,5214,018,769.0832 × 72 × 13 × 163 × 307193521
M111,006,9532682710448668582356753135984.475,261247,664,0172,931,910.323 × 19 × 1627 × 5261 × 247664017
M110,294,531205880008551067271200170.80125179,484,4632,535,009.1625 × 53 × 13 × 179484463
M101,567,15922168791769253438275967.59149143,615,8192,124,900.113 × 17 × 149 × 143615819
M104,137,27910257775903093017920966.481,063115,830,7131,742,462.9622 × 1063 × 115830713
M123,000,89333656291833396212227070311388.1217,49772,379,171821,361.1522 × 17 × 15887 × 17497 × 72379171
M126,523,421894704279444702739864772.9223,78970,775,527970,566.133 × 7 × 23789 × 70775527
M102,461,46197012576270359280543969.7225,94360,826,951872,487.103 × 25943 × 60826951
M113,310,233204880489684344875851370.802,33353,821,307760,238.7123 × 32 × 2333 × 53821307
M112,402,01350048738288376790498756178.73197,90951,132,947649,491.3522 × 5 × 11 × 197909 × 51132947
M107,647,367213994318797068126371970.862,38347,943,037676,606.663 × 29 × 2383 × 47943037
M107,999,5034721546324638900718455375.3231343,077,607571,915.1322 × 3 × 7 × 193 × 313 × 43077607
M112,412,31728420046886857761397762533259397.84756,88138,331,763391,768.7723 × 13 × 43 × 9743 × 756881 × 38331763
M135,999,31967599916340418859845042031557799.09689,23731,003,561312,873.5722 × 32 × 367 × 8803 × 689237 × 31003561
M109,999,861145537941575371200665445780.271,03930,421,871379,005.2922 × 3 × 107 × 163 × 1039 × 30421871
M134,999,1732172255785916506905498043102798927110.74128,20330,232,931273,001.277 × 401 × 16993 × 43517 × 128203 × 30232931
M129,303,679842899517324414981699972.844,22929,757,571408,556.657 × 37 × 4229 × 29757571
M127,999,8494051397738393594703454375.1022329,617,993394,376.333 × 72 × 163 × 223 × 29617993
M111,013,499580368052790990270853705782.261,126,97328,424,579345,531.9624 × 3 × 17 × 1126973 × 28424579
M122,999,3997340866512644790738964775.9615,93727,097,531356,741.88691 × 15937 × 27097531
M108,000,3535801296773302867473840975.6299,46925,001,059330,619.6522 × 33 × 99469 × 25001059
M102,000,1311860066582325914417280465783.942,01124,752,281294,868.1523 × 401 × 571 × 2011 × 24752281
M118,003,031375397573096806196207057936909987053751128.1498,80124,688,949192,669.143 × 54 × 7 × 11 × 577 × 81647 × 95873 × 98801 × 24688949
M332,200,2295076414413391736433416124985.391,86724,624,563288,370.8024 × 241 × 431 × 1867 × 24624563
M332,255,113191602926035200685210707980.6624,73324,486,431303,559.3532 × 232 × 24733 × 24486431
M332,216,47721401506463229677237114377.50177,32323,590,513304,385.637 × 11 × 177323 × 23590513
M107,000,359457522325172364294568435981.92235,24323,526,409287,187.203863 × 235243 × 23526409
M122,000,39367461673657823527356215722108799.09975,80323,332,297235,465.75103 × 239 × 4933 × 975803 × 23332297
M332,331,8632494000763111609780920879135394.33187,95123,021,653244,048.0822 × 3 × 13 × 55589 × 187951 × 23021653
M332,213,17711565147508133829685623092750761103.19148,42922,974,739222,645.9822 × 33 × 5 × 761 × 12421 × 148429 × 22974739

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