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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
5315759106315198 ~1984
5315797318947838 ~1985
5315819106316398 ~1984
5315837744217198 ~1986
5316041425283298 ~1985
53160712976999779 ~1987
5316163850586098 ~1986
5316301318978078 ~1985
53164012977184579 ~1987
5316659425332738 ~1985
5316881425350498 ~1985
5316901319014078 ~1985
5316959106339198 ~1984
5316959425356738
5317043106340878 ~1984
5317451106349038 ~1984
5317517319051038 ~1985
5317813319068798 ~1985
5317859106357198 ~1984
5318077319084638 ~1985
5318171425453698 ~1985
53183033510079999 ~1987
5318363106367278 ~1984
5318471106369438 ~1984
5318549425483938 ~1985
Exp. Prime Factor Digits Year
5318711106374238 ~1984
53188431276522339 ~1986
5318851531885118 ~1985
5318893319133598 ~1985
5318903106378078 ~1984
5318933319135998 ~1985
5318933744650638
5319059425524738 ~1985
5319341319160478 ~1985
53196793830168899 ~1987
5319689744756478 ~1986
5319851106397038 ~1984
5319893319193598 ~1985
53199891276797379 ~1986
5320103106402078 ~1984
5320319106406398 ~1984
5320421425633698 ~1985
5320487425638978 ~1985
5320921319255278 ~1985
5321179532117918 ~1985
53212631277103139 ~1986
5321467532146718 ~1985
53216473086555279 ~1987
5321903106438078 ~1984
5322041319322478 ~1985
Exp. Prime Factor Digits Year
5322061319323678 ~1985
5322257425780578 ~1985
5322271532227118 ~1985
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
5324639150154819910 ~1989
Exp. Prime Factor Digits Year
5324743532474318 ~1985
5324831106496638 ~1984
5324897745485598 ~1986
5324999106499998 ~1984
5324999425999938
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
5326171852187378 ~1986
5326241426099298 ~1985
5326339532633918 ~1985
5326393319583598 ~1985
5326421426113698 ~1985
5326523106530478 ~1984
735
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26-04-05