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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
53222774151376079 ~1987
5322301319338078 ~1985
5322371106447438 ~1984
5322511532251118 ~1985
5322563106451278 ~1984
5322659106453198 ~1984
5322673319360398 ~1985
5323151425852098 ~1985
5323273319396398 ~1985
5323291532329118 ~1985
5323343106466878 ~1984
53234411597032319 ~1986
5323859106477198 ~1984
5323943106478878 ~1984
5324057745367998 ~1986
5324087958335678 ~1986
5324261425940898 ~1985
5324381463221147110 ~1990
5324471106489438 ~1984
5324531425962498 ~1985
5324597319475838 ~1985
5324743532474318 ~1985
5324831106496638 ~1984
5324999106499998 ~1984
5324999425999938
Exp. Prime Factor Digits Year
5325101426008098 ~1985
5325143106502878 ~1984
5325179106503598 ~1984
5325247242831263310 ~1989
53253232662661519 ~1987
53253891278093379 ~1986
5325527426042178 ~1985
5325623106512478 ~1984
5325791106515838 ~1984
5325839106516798 ~1984
5325869426069538 ~1985
5325953319557198 ~1985
5325997319559838 ~1985
5326019106520398 ~1984
5326241426099298 ~1985
5326339532633918 ~1985
5326393319583598 ~1985
5326421426113698 ~1985
5326523106530478 ~1984
5326903532690318 ~1985
5326931426154498 ~1985
5326963852314098 ~1986
5327081426166498 ~1985
5327183106543678 ~1984
5327243106544878 ~1984
Exp. Prime Factor Digits Year
53272431385083199
5327251532725118 ~1985
53274891598246719 ~1986
53275271811359199 ~1987
5327711106554238 ~1984
53278996393478819 ~1988
5327941319676478 ~1985
5328077319684638 ~1985
5328317426265378 ~1985
5328731106574638 ~1984
53287611598628319 ~1986
5329003532900318 ~1985
5329061426324898 ~1985
5329217319753038 ~1985
53295079912883039 ~1988
5329787959361678 ~1986
5329981319798878 ~1985
5330033319801998 ~1985
5330069426405538 ~1985
5330107508492207910 ~1990
5330153319809198 ~1985
5330293319817598 ~1985
5330309426424738 ~1985
5330327426426178 ~1985
5330483106609678 ~1984
Exp. Prime Factor Digits Year
5330513319830798 ~1985
5330603106612078 ~1984
5330657426452578 ~1985
5330669426453538 ~1985
5330711106614238 ~1984
53310491279451779 ~1986
5331089746352478 ~1986
5331167959610078 ~1986
5331317746384398 ~1986
5331479106629598 ~1984
53315812985685379 ~1987
5331619533161918 ~1985
5331719106634398 ~1984
5331857319911438 ~1985
5331923106638478 ~1984
5332037319922238 ~1985
5332081853132978 ~1986
5332121426569698 ~1985
5332721426617698 ~1985
5332861853257778 ~1986
5332967426637378 ~1985
5332991106659838 ~1984
5333113853298098 ~1986
53332495546578979 ~1988
5333353320001198 ~1985
717
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25-09-07