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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
9303263186065278 ~1985
9303319930331918 ~1987
93033775209891139 ~1989
9303643930364318 ~1987
9303839186076798 ~1985
9303851186077038 ~1985
93040332791209919 ~1988
9304109744328738 ~1987
9304271744341698 ~1987
9304283186085678 ~1985
9304313558258798 ~1987
9304511186090238 ~1985
9304583186091678 ~1985
9304657558279438 ~1987
9304931186098638 ~1985
9305063186101278 ~1985
93052992233271779 ~1988
9305561558333678 ~1987
9305771186115438 ~1985
9306197558371838 ~1987
9306263186125278 ~1985
9306383186127678 ~1985
93068411489094579 ~1988
9307121558427278 ~1987
9307121744569698
Exp. Prime Factor Digits Year
9307139186142798 ~1985
9307379186147598 ~1985
9307997558479838 ~1987
9308141744651298 ~1987
9308471186169438 ~1985
9308513558510798 ~1987
9308531186170638 ~1985
9308543186170878 ~1985
93085574468107379 ~1989
93091374468385779 ~1989
93094131303317839 ~1987
9309479186189598 ~1985
9309697558581838 ~1987
9310153558609198 ~1987
9310241558614478 ~1987
9310333558619998 ~1987
9310481558628878 ~1987
9310523186210478 ~1985
9310667744853378 ~1987
9310991186219838 ~1985
9311063186221278 ~1985
9312323186246478 ~1985
9312731186254638 ~1985
9312749745019938 ~1987
93127671676298079 ~1988
Exp. Prime Factor Digits Year
9312917745033378 ~1987
9313013558780798 ~1987
9313217558793038 ~1987
9313259186265198 ~1985
9313279216068072910 ~1990
9313301745064098 ~1987
9313511186270238 ~1985
9313523186270478 ~1985
9314573558874398 ~1987
9314603186292078 ~1985
9314681558880878 ~1987
93147191676649439 ~1988
9314821558889278 ~1987
9314999186299998 ~1985
9315101558906078 ~1987
9315181542143534310 ~1991
9315329745226338 ~1987
93153479687960899 ~1990
9315419186308398 ~1985
9315421558925278 ~1987
9315599186311998 ~1985
9315731186314638 ~1985
93158692235808579 ~1988
9315959186319198 ~1985
9315973558958398 ~1987
Exp. Prime Factor Digits Year
9316033558961998 ~1987
9316297558977838 ~1987
9316319186326398 ~1985
9316343186326878 ~1985
9316379186327598 ~1985
9316451186329038 ~1985
93167591677016639 ~1988
93168232236037539 ~1988
9317219745377538 ~1987
9317237559034238 ~1987
9317459186349198 ~1985
9317681559060878 ~1987
9317831186356638 ~1985
9317879186357598 ~1985
93181576522709919 ~1989
9318779745502338 ~1987
9318833559129998 ~1987
9318899186377998 ~1985
9319477559168638 ~1987
9319571186391438 ~1985
9319619186392398 ~1985
9319631186392638 ~1985
9319753559185198 ~1987
93199435219168099 ~1989
93200237642418879 ~1989
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