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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
2496257349475998 ~1983
2496401948632398 ~1984
249650349930077 ~1981
2496541149792478 ~1982
2496553149793198 ~1982
2496553549241678
2496691249669118 ~1983
249677949935597 ~1981
24968693595491379 ~1985
249691149938237 ~1981
2497097948896878 ~1984
2497211199776898 ~1982
2497217149833038 ~1982
2497349349628878 ~1983
2497357149841438 ~1982
2497381149842878 ~1982
2497423249742318 ~1983
2497457199796578 ~1982
24974771198788979 ~1984
2497633149857998 ~1982
2497633749289918
249773949954797 ~1981
249775149955037 ~1981
249793149958637 ~1981
2497939449629038 ~1983
Exp. Prime Factor Digits Year
249799149959837 ~1981
249812349962477 ~1981
2498137599552898 ~1984
249818349963677 ~1981
2498213149892798 ~1982
249823149964637 ~1981
2498231449681598
249833949966797 ~1981
2498893149933598 ~1982
2498957149937438 ~1982
2499137199930978 ~1982
249917949983597 ~1981
2499193149951598 ~1982
2499197199935778 ~1982
2499311199944898 ~1982
249944349988877 ~1981
2499509599882178 ~1984
249955149991037 ~1981
2499667449940078 ~1983
249977949995597 ~1981
249986349997277 ~1981
2500067200005378 ~1982
2500117150007038 ~1982
25001591800114499 ~1985
2500213400034098 ~1983
Exp. Prime Factor Digits Year
2500273150016398 ~1982
2500301150018078 ~1982
2500331650086078 ~1984
2500439200035138 ~1982
250055950011197 ~1981
2500621150037278 ~1982
2500651250065118 ~1983
2500709200056738 ~1982
2500937150056238 ~1982
2500999250099918 ~1983
2501143600274338 ~1984
2501189200095138 ~1982
2501197150071838 ~1982
2501299450233838 ~1983
2501417150085038 ~1982
2501507600361698 ~1984
2501591450286398 ~1983
2501593550350478 ~1983
250165150033037 ~1981
2502191650569678 ~1984
2502343400374898 ~1983
2502359600566178 ~1984
2502551800816338 ~1984
2502559450460638 ~1983
250268350053677 ~1981
Exp. Prime Factor Digits Year
250271950054397 ~1981
2502793150167598 ~1982
25030692202700739 ~1985
250310350062077 ~1981
2503213400514098 ~1983
2503261550717438 ~1983
2503351250335118 ~1983
2503427600822498 ~1984
2503439801100498 ~1984
2503499200279938 ~1982
2503637150218238 ~1982
2503759250375918 ~1983
2503799450683838 ~1983
250385950077197 ~1981
2503931200314498 ~1982
2503979450716238 ~1983
2503997600959298 ~1984
2504147200331778 ~1982
250453150090637 ~1981
250454350090877 ~1981
2504563400730098 ~1983
2504687601124898 ~1984
2504717200377378 ~1982
250489150097837 ~1981
2505109551123998 ~1983
441
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25-04-13