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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
31346279626925598 ~1989
31346411626928238 ~1989
31346891626937838 ~1989
31347611626952238 ~1989
31348151626963038 ~1989
31348319626966398 ~1989
313496531880979199 ~1991
313498211880989279 ~1991
313508571881051439 ~1991
313519731881118399 ~1991
313527731881166399 ~1991
31353503457761143910 ~1994
31353551627071038 ~1989
31353659627073198 ~1989
31355459627109198 ~1989
31355711627114238 ~1989
31355903627118078 ~1989
31356323627126478 ~1989
313567571881405439 ~1991
31357031627140638 ~1989
31357499627149998 ~1989
31357871627157438 ~1989
313585131881510799 ~1991
31359719627194398 ~1989
31360271627205438 ~1989
Exponent Prime Factor Digits Year
31361279627225598 ~1989
313613775017820339 ~1992
31362011627240238 ~1989
313620472508963779 ~1991
31362119627242398 ~1989
31363331627266638 ~1989
313640179409205119 ~1992
31364603627292078 ~1989
31365023627300478 ~1989
31366799627335998 ~1989
31367543627350878 ~1989
31368131627362638 ~1989
31368719627374398 ~1989
31369643225861429710 ~1993
31370351627407038 ~1989
31370411627408238 ~1989
31370611225868399310 ~1993
313707412509659299 ~1991
31371971627439438 ~1989
313722915019566579 ~1992
31372703677650384910 ~1994
313737171882423039 ~1991
31374179627483598 ~1989
313750331882501999 ~1991
31375439627508798 ~1989
Exponent Prime Factor Digits Year
31376363627527278 ~1989
31379303627586078 ~1989
31379819627596398 ~1989
31380491627609838 ~1989
31380683627613678 ~1989
31381979627639598 ~1989
31382003627640078 ~1989
313822335021157299 ~1992
313823715648826799 ~1992
31382831627656638 ~1989
31382951627659038 ~1989
31383179627663598 ~1989
31383323627666478 ~1989
31384079627681598 ~1989
31384163627683278 ~1989
31384271627685438 ~1989
313855513138555119 ~1991
31385771627715438 ~1989
31386851627737038 ~1989
31387319627746398 ~1989
31387619627752398 ~1989
31388963627779278 ~1989
31388999627779998 ~1989
313900131883400799 ~1991
31390811627816238 ~1989
Exponent Prime Factor Digits Year
31391099627821998 ~1989
31392083627841678 ~1989
31392143627842878 ~1989
313926795650682239 ~1992
31393559627871198 ~1989
31394683125578732110 ~1993
31396199627923998 ~1989
31396439627928798 ~1989
313964713139647119 ~1991
313967094395539279 ~1992
31396811627936238 ~1989
31397603627952078 ~1989
31397843627956878 ~1989
313981312511850499 ~1991
31398239627964798 ~1989
313984811883908879 ~1991
31398863627977278 ~1989
31400951628019038 ~1989
31401239628024798 ~1989
31402139628042798 ~1989
31402823628056478 ~1989
314029395652529039 ~1992
31405151628103038 ~1989
31405343628106878 ~1989
314068494396958879 ~1992
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