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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
7437431148748638 ~1985
7437779148755598 ~1985
7438001595040098 ~1986
7438439148768798 ~1985
7438477446308638 ~1986
7438841446330478 ~1986
7438927168119750310 ~1990
7439219148784398 ~1985
74394171785460099 ~1987
7439639148792798 ~1985
7439717446383038 ~1986
7439843148796878 ~1985
7440011148800238 ~1985
7441061446463678 ~1986
7441099744109918 ~1986
74412891041780479 ~1987
7441409595312738 ~1986
7441633446497998 ~1986
7441823148836478 ~1985
7441883148837678 ~1985
7441961595356898 ~1986
7442657446559438 ~1986
7442881446572878 ~1986
74431571190905139 ~1987
7443173446590398 ~1986
Exp. Prime Factor Digits Year
7443223744322318 ~1986
7443287595462978 ~1986
7443539148870798 ~1985
7443607744360718 ~1986
7444357446661438 ~1986
7444439595555138 ~1986
7444499148889998 ~1985
74446732233401919 ~1988
7444799148895998 ~1985
7444993446699598 ~1986
7445219148904398 ~1985
7445759148915198 ~1985
7445831148916638 ~1985
7445959744595918 ~1986
7446121446767278 ~1986
7446223744622318 ~1986
74462771191404339 ~1987
7446421446785278 ~1986
7446443148928878 ~1985
7446773446806398 ~1986
7446863148937278 ~1985
7447081446824878 ~1986
7447123744712318 ~1986
7447151148943038 ~1985
7447523148950478 ~1985
Exp. Prime Factor Digits Year
7447681446860878 ~1986
7447879744787918 ~1986
7448473446908398 ~1986
74486032383552979 ~1988
7448657446919438 ~1986
7448723148974478 ~1985
7449017446941038 ~1986
7449059148981198 ~1985
7449133446947998 ~1986
7449151744915118 ~1986
74493013575664499 ~1988
7449461446967678 ~1986
7450043149000878 ~1985
7450117447007038 ~1986
74504095960327219 ~1989
7450427596034178 ~1986
7450637447038238 ~1986
74506372831242079
7450823149016478 ~1985
7450921447055278 ~1986
7450931149018638 ~1985
7451351149027038 ~1985
7451399149027998 ~1985
7451597447095838 ~1986
7451713447102798 ~1986
Exp. Prime Factor Digits Year
74518795365352899 ~1988
7451891149037838 ~1985
7452143149042878 ~1985
7452311149046238 ~1985
74523235365672579 ~1988
7452491149049838 ~1985
74527871341501679 ~1987
7452833447169998 ~1986
7452877447172638 ~1986
7453343149066878 ~1985
7453409596272738 ~1986
7453991149079838 ~1985
74543874174456739 ~1988
74547311341851599 ~1987
7454791745479118 ~1986
7455083149101678 ~1985
7455179149103598 ~1985
7455257111828855110 ~1989
74553731640182079 ~1987
7455431596434498 ~1986
7455803149116078 ~1985
74559772236793119 ~1988
7456283149125678 ~1985
7456511149130238 ~1985
74566193131779999 ~1988
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