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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
17582303351646078 ~1988
17582423351648478 ~1988
17582483351649678 ~1988
17582639351652798 ~1988
175828611054971679 ~1989
175828971054973839 ~1989
175833171054999039 ~1989
175835572461697999 ~1990
17583719351674398 ~1988
175841532813464499 ~1990
17584163351683278 ~1988
17584571351691438 ~1988
17584943351698878 ~1988
17585651351713038 ~1988
17586251351725038 ~1988
175864611055187679 ~1989
17586791351735838 ~1988
175868931055213599 ~1989
17587343351746878 ~1988
175873571055241439 ~1989
17587763351755278 ~1988
17587859351757198 ~1988
175887311758873119 ~1989
175888993166001839 ~1990
17589371351787438 ~1988
Exponent Prime Factor Digits Year
175899591407196739 ~1989
17589983351799678 ~1988
17590091351801838 ~1988
17590103351802078 ~1988
17590679351813598 ~1988
17590691351813838 ~1988
17590739351814798 ~1988
175908295277248719 ~1990
175911115629155539 ~1991
17591303351826078 ~1988
17591459351829198 ~1988
175915074573791839 ~1990
17591543351830878 ~1988
17591831351836638 ~1988
175918435629389779 ~1991
17592083351841678 ~1988
17592479351849598 ~1988
175925171055551039 ~1989
17593319351866398 ~1988
17593451351869038 ~1988
17593931351878638 ~1988
175947771055686639 ~1989
175950011055700079 ~1989
175956612815305779 ~1990
17595911351918238 ~1988
Exponent Prime Factor Digits Year
17595971351919438 ~1988
17596619351932398 ~1988
17596643351932878 ~1988
175966611055799679 ~1989
175967271407738179 ~1989
17596919351938398 ~1988
17597003351940078 ~1988
17597039351940798 ~1988
17597759351955198 ~1988
175977771407822179 ~1989
17597831351956638 ~1988
17597843351956878 ~1988
17598299351965998 ~1988
17598551351971038 ~1988
175985771055914639 ~1989
175990693871795199 ~1990
175993578095704239 ~1991
175993971407951779 ~1989
17599691351993838 ~1988
175998912815982579 ~1990
17599931351998638 ~1988
176001615280048319 ~1990
176002993168053839 ~1990
17601119352022398 ~1988
17601599352031998 ~1988
Exponent Prime Factor Digits Year
17601659352033198 ~1988
17602223352044478 ~1988
17602619352052398 ~1988
17602703352054078 ~1988
17602979352059598 ~1988
176040531056243199 ~1989
176044371056266239 ~1989
17604491352089838 ~1988
17604599352091998 ~1988
176047093873035999 ~1990
176049713168894799 ~1990
17605019352100398 ~1988
17605151352103038 ~1988
17605463253518667310 ~1992
17606243352124878 ~1988
17606423352128478 ~1988
17606591352131838 ~1988
176066696690534239 ~1991
17607071352141438 ~1988
176071331056427999 ~1989
176072211056433279 ~1989
17607743352154878 ~1988
176079171408633379 ~1989
176087691408701539 ~1989
17608919352178398 ~1988
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