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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
7516739150334798 ~1985
75168433006737219 ~1988
7516877451012638 ~1986
7516877601350178
7517057601364578 ~1986
75171231954451999 ~1987
7517137451028238 ~1986
7517183150343678 ~1985
75172391353103039 ~1987
7517291150345838 ~1985
75178272556061199 ~1988
75181573458352239 ~1988
7518191150363838 ~1985
7518241451094478 ~1986
75182531202920499 ~1987
7518359150367198 ~1985
7518431150368638 ~1985
7518473451108398 ~1986
7518727751872718 ~1986
7518821451129278 ~1986
7519139150382798 ~1985
7519223150384478 ~1985
75193132255793919 ~1988
7519331150386638 ~1985
7519333451159998 ~1986
Exp. Prime Factor Digits Year
7519517601561378 ~1986
7519541601563298 ~1986
7519817601585378 ~1986
7520063150401278 ~1985
7520221451213278 ~1986
75203111203249779 ~1987
75203474361801279 ~1988
7520351150407038 ~1985
7520389180489336110 ~1990
75204072556938399 ~1988
7520417451225038 ~1986
7520501451230078 ~1986
7520567601645378 ~1986
7520581451234878 ~1986
7520819150416398 ~1985
75208196768737119
75209111353763999 ~1987
7520993451259598 ~1986
7521443150428878 ~1985
75215332256459919 ~1988
7521659150433198 ~1985
7521869601749538 ~1986
7522187601774978 ~1986
7522283150445678 ~1985
7522799150455998 ~1985
Exp. Prime Factor Digits Year
75229271203668339 ~1987
7523189601855138 ~1986
7523471150469438 ~1985
7523513451410798 ~1986
7523533451411998 ~1986
7523699150473998 ~1985
75240711354332799 ~1987
7524107601928578 ~1986
7524679752467918 ~1986
7524719150494398 ~1985
7524941451496478 ~1986
75249671203994739 ~1987
7524983150499678 ~1985
7525003752500318 ~1986
7525151602012098 ~1986
7525403150508078 ~1985
7525571150511438 ~1985
7525601451536078 ~1986
75256571204105139 ~1987
7525943150518878 ~1985
7526297602103778 ~1986
7526447602115778 ~1986
7526663150533278 ~1985
7526993451619598 ~1986
7527181451630878 ~1986
Exp. Prime Factor Digits Year
75274196774677119 ~1989
7528043150560878 ~1985
7528091150561838 ~1985
7528111752811118 ~1986
75283571156355635311 ~1992
75283931656246479 ~1987
7528403150568078 ~1985
7528537451712238 ~1986
75290992409311699 ~1988
7529261602340898 ~1986
7529771150595438 ~1985
7529783150595678 ~1985
7529831150596638 ~1985
7529857451791438 ~1986
7529881451792878 ~1986
7529939150598798 ~1985
7530073451804398 ~1986
75301211656626639 ~1987
75302393614514739 ~1988
7530353451821198 ~1986
7530791150615838 ~1985
7530851150617038 ~1985
7531019150620398 ~1985
7531157602492578 ~1986
75314231807541539 ~1987
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