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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
210240673363850739 ~1990
21024743420494878 ~1988
21025019420500398 ~1988
21025211420504238 ~1988
21025619420512398 ~1988
21025883420517678 ~1988
21026171420523438 ~1988
21026651420533038 ~1988
210268011577010075111 ~1994
210270777990289279 ~1991
21027323420546478 ~1988
210274491682195939 ~1990
21027683420553678 ~1988
21027791420555838 ~1988
21028211420564238 ~1988
21028391420567838 ~1988
21028919420578398 ~1988
21028979420579598 ~1988
210312171682497379 ~1990
210312772944378799 ~1990
21031463420629278 ~1988
21031883420637678 ~1988
21032339420646798 ~1988
210325211261951279 ~1989
210326592103265919 ~1990
Exponent Prime Factor Digits Year
210326991682615939 ~1990
210329511682636099 ~1990
21033011420660238 ~1988
21033059420661198 ~1988
21033203420664078 ~1988
21033263420665278 ~1988
210337731262026399 ~1989
21034199420683998 ~1988
21034859420697198 ~1988
21035159420703198 ~1988
21035303420706078 ~1988
21035699420713998 ~1988
21036289151461280910 ~1992
21036299420725998 ~1988
210364131262184799 ~1989
21036563420731278 ~1988
21036611420732238 ~1988
21036959420739198 ~1988
21037259420745198 ~1988
210375371262252239 ~1989
210376071683008579 ~1990
210377811683022499 ~1990
21038183420763678 ~1988
21038879420777598 ~1988
21038999420779998 ~1988
Exponent Prime Factor Digits Year
21039611420792238 ~1988
21039719420794398 ~1988
21040139420802798 ~1988
21040931420818638 ~1988
210412611262475679 ~1989
210412633366602099 ~1990
210413571683308579 ~1990
21041411420828238 ~1988
21041453231455983110 ~1992
21041519420830398 ~1988
21041771420835438 ~1988
210420171683361379 ~1990
210420971262525839 ~1989
21042383420847678 ~1988
21042419420848398 ~1988
210424791683398339 ~1990
21042839420856798 ~1988
21043391420867838 ~1988
210448331262689999 ~1989
21045263420905278 ~1988
21045539420910798 ~1988
21045599420911998 ~1988
210462171262773039 ~1989
21046859420937198 ~1988
21047051420941038 ~1988
Exponent Prime Factor Digits Year
21047303420946078 ~1988
210474016314220319 ~1991
210479691683837539 ~1990
21048133265206475910 ~1993
21048239420964798 ~1988
21048959420979198 ~1988
210489913367838579 ~1990
21049019420980398 ~1988
21049271420985438 ~1988
210493331262959999 ~1989
21049499420989998 ~1988
21049643420992878 ~1988
21050231421004638 ~1988
21050279421005598 ~1988
21050303421006078 ~1988
21050339421006798 ~1988
210508331263049999 ~1989
21051479421029598 ~1988
21051599421031998 ~1988
210517611684140899 ~1990
210520398420815619 ~1991
21052079421041598 ~1988
21052847138948790310 ~1992
210528772947402799 ~1990
21052943421058878 ~1988
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