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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
319009163801837 ~1982
319013963802797 ~1982
3190139255211138
3190267319026718 ~1984
319028363805677 ~1982
3190381191422878 ~1983
319075163815037 ~1982
319100363820077 ~1982
3191039255283138 ~1983
319109963821997 ~1982
3191113191466798 ~1983
3191137191468238 ~1983
31912812297722339 ~1986
319142363828477 ~1982
31915271276610819 ~1985
3191609446825278 ~1984
3191609195964792710
3191897255351778 ~1983
319199963839997 ~1982
3192017446882398 ~1984
3192037191522238 ~1983
3192271319227118 ~1984
3192389255391138 ~1983
3192677191560638 ~1983
3192713191562798 ~1983
Exp. Prime Factor Digits Year
3193097255447778 ~1983
31932375364638179 ~1987
3193261702517438 ~1984
3193471510955378 ~1984
319376363875277 ~1982
3193889766533378 ~1984
31939031277561219 ~1985
3194273447198238 ~1984
3194417255553378 ~1983
31945331277813219 ~1985
3194561191673678 ~1983
3194563511130098 ~1984
3194567255565378 ~1983
319465163893037 ~1982
3194687766724898 ~1984
3194803319480318 ~1984
3194879255590338 ~1983
3195121191707278 ~1983
3195169702937198 ~1984
3195271575148798 ~1984
31952991022495699 ~1985
3195457191727438 ~1983
3195601191736078 ~1983
319562363912477 ~1982
3195679319567918 ~1984
Exp. Prime Factor Digits Year
3195761255660898 ~1983
3196157191769438 ~1983
319616363923277 ~1982
319622363924477 ~1982
3196253191775198 ~1983
319628363925677 ~1982
31964474411096879 ~1986
319649963929997 ~1982
3196573191794398 ~1983
319669163933837 ~1982
31966912301617539
3196819575427438 ~1984
3196849703306798 ~1984
3196913191814798 ~1983
31971411023085139 ~1985
3197167319716718 ~1984
319721963944397 ~1982
319739963947997 ~1982
31973994092670739
3197401342761387310 ~1988
3197587767420898 ~1984
319772363954477 ~1982
319778363955677 ~1982
3197837191870238 ~1983
3197849255827938 ~1983
Exp. Prime Factor Digits Year
319811963962397 ~1982
3198269255861538 ~1983
3198269447757678
3198617191917038 ~1983
31987191535385139 ~1985
319873163974637 ~1982
3198827575788878 ~1984
3198913191934798 ~1983
3198931319893118 ~1984
3199037191942238 ~1983
3199153191949198 ~1983
31993032047553939 ~1985
3199319255945538 ~1983
319937963987597 ~1982
3199411319941118 ~1984
3199571255965698 ~1983
3199577255966178 ~1983
3199613191976798 ~1983
3199837191990238 ~1983
3199951319995118 ~1984
3200027256002178 ~1983
3200137192008238 ~1983
3200339256027138 ~1983
3200557192033438 ~1983
3200581192034878 ~1983
538
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26-05-10