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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
25770539515410798 ~1989
25770743515414878 ~1989
257710931546265599 ~1990
257713977731419119 ~1992
25772171515443438 ~1989
25772639515452798 ~1989
257727371546364239 ~1990
25772783515455678 ~1989
25772819515456398 ~1989
25773119515462398 ~1989
25773311515466238 ~1989
25774379515487598 ~1989
257755731546534399 ~1990
25775699515513998 ~1989
257759472577594719 ~1991
257761371546568239 ~1990
25776323515526478 ~1989
25776671515533438 ~1989
257770331546621999 ~1990
25777931515558638 ~1989
25777943515558878 ~1989
257787292062298339 ~1990
25780439515608798 ~1989
25780883515617678 ~1989
25781219515624398 ~1989
Exponent Prime Factor Digits Year
257812194640619439
257812571546875439 ~1990
25781771515635438 ~1989
25781963515639278 ~1989
25782059268133413710 ~1993
25782959515659198 ~1989
25782983515659678 ~1989
25783451515669038 ~1989
25783463515669278 ~1989
25783799515675998 ~1989
25784051515681038 ~1989
25784243515684878 ~1989
25784663515693278 ~1989
257851192062809539 ~1990
25785491515709838 ~1989
25785839515716798 ~1989
25785911515718238 ~1989
25786199515723998 ~1989
25786571515731438 ~1989
25786751515735038 ~1989
257867931547207599 ~1990
257882931547297599 ~1990
257885572063084579 ~1990
25788599515771998 ~1989
25789079515781598 ~1989
Exponent Prime Factor Digits Year
25789343515786878 ~1989
25789979515799598 ~1989
25790399515807998 ~1989
25790423515808478 ~1989
257906272063250179 ~1990
25790711515814238 ~1989
25791191515823838 ~1989
25791263515825278 ~1989
25792103515842078 ~1989
257924931547549599 ~1990
25792523515850478 ~1989
25792583515851678 ~1989
257931011547586079 ~1990
25793123515862478 ~1989
25793171515863438 ~1989
257935912063487299 ~1990
25793843515876878 ~1989
257938971547633839 ~1990
257945572063564579 ~1990
25795163515903278 ~1989
25795883515917678 ~1989
25796003515920078 ~1989
25796759515935198 ~1989
25796999515939998 ~1989
25797599515951998 ~1989
Exponent Prime Factor Digits Year
257978171547869039 ~1990
25797911515958238 ~1989
25798403515968078 ~1989
25798739515974798 ~1989
25799051515981038 ~1989
25799363515987278 ~1989
25799759515995198 ~1989
25800023516000478 ~1989
25800083516001678 ~1989
25800311516006238 ~1989
25800839516016798 ~1989
25800851516017038 ~1989
25801199516023998 ~1989
25801799516035998 ~1989
25801859516037198 ~1989
25802219516044398 ~1989
25802519516050398 ~1989
25802531516050638 ~1989
25802831516056638 ~1989
25803131516062638 ~1989
25803143516062878 ~1989
25803551516071038 ~1989
25803623516072478 ~1989
258038714644696799 ~1991
25803983516079678 ~1989
1604
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25-05-04