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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.
Exp. Prime Factor Digits Year
294668358933677 ~1982
29468635186478899 ~1986
29470997073037619 ~1987
29471175599522319 ~1986
2947157707317698 ~1984
2947213176832798 ~1983
294727158945437 ~1982
29472911414699699 ~1985
2947499235799938 ~1983
294755958951197 ~1982
294758358951677 ~1982
2947673114959247110 ~1987
294782358956477 ~1982
2948039707529378 ~1984
2948119294811918 ~1983
294841158968237 ~1982
2948453943504978 ~1984
2948573707657538 ~1984
2948683707683938 ~1984
294872358974477 ~1982
2948747530774478 ~1984
2948797176927838 ~1983
2948873176932398 ~1983
294890358978077 ~1982
2948951235916098 ~1983
Exp. Prime Factor Digits Year
2949137176948238 ~1983
29491373774895379
29492831238698879 ~1985
29495092300617039 ~1985
2949511294951118 ~1983
2949511471921778
294953958990797 ~1982
2949839943948498 ~1984
2949871471979378 ~1984
295015159003037 ~1982
2950267708064098 ~1984
2950477177028638 ~1983
2950511236040898 ~1983
295075159015037 ~1982
2950751531135198
2950799236063938 ~1983
29508132773764239 ~1986
295094359018877 ~1982
2951063767276398 ~1984
2951077177064638 ~1983
2951309885392718 ~1984
2951413177084798 ~1983
2951513413211838 ~1984
295157959031597 ~1982
2951639708393378 ~1984
Exp. Prime Factor Digits Year
2951657177099438 ~1983
295169959033997 ~1982
2951747708419298 ~1984
295177159035437 ~1982
2951827472292338 ~1984
2951857177111438 ~1983
2951867531336078 ~1984
2951873413262238 ~1984
29519335372518079 ~1986
2952269413317678 ~1984
295231159046237 ~1982
2952317177139038 ~1983
2952361177141678 ~1983
295243159048637 ~1982
2952431767632078
295247959049597 ~1982
2952557413357998 ~1984
2952601472416178 ~1984
2952737177164238 ~1983
29527871181114819 ~1985
295286359057277 ~1982
2952953413413438 ~1984
2952977413416798 ~1984
29530631889960339 ~1985
2953141649691038 ~1984
Exp. Prime Factor Digits Year
2953421236273698 ~1983
29534591004176079 ~1985
2953501177210078 ~1983
2953661177219678 ~1983
2953793177227598 ~1983
29538232126752579 ~1985
295388359077677 ~1982
2953961236316898 ~1983
295399159079837 ~1982
2954129236330338 ~1983
2954417413618398 ~1984
2954459236356738 ~1983
2954797177287838 ~1983
2954851295485118 ~1983
2955101177306078 ~1983
29552091122979439 ~1985
29552094432813519
2955223295522318 ~1983
2955427295542718 ~1983
295553959110797 ~1982
2955613177336798 ~1983
2955629413788078 ~1984
2955629709350978
2955947236475778 ~1983
2956007709441698 ~1984
507
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26-02-08