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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.
Exponent Prime Factor Digits Year
25041911500838238 ~1989
25042403500848078 ~1989
25042499500849998 ~1989
25043171500863438 ~1989
25043351500867038 ~1989
25044083500881678 ~1989
25044203500884078 ~1989
250442512003540099 ~1990
25045103500902078 ~1989
25045259500905198 ~1989
25045283500905678 ~1989
250456611502739679 ~1990
250461371502768239 ~1990
25046603500932078 ~1989
25046711500934238 ~1989
25046999500939998 ~1989
25047019160300921710 ~1992
250472771502836639 ~1990
250473135510408879 ~1991
25047419500948398 ~1989
25047611500952238 ~1989
25048319500966398 ~1989
250484811502908879 ~1990
250484812003878499
25049411500988238 ~1989
Exponent Prime Factor Digits Year
25049963500999278 ~1989
25050071501001438 ~1989
25050143501002878 ~1989
250503312505033119 ~1990
25050491501009838 ~1989
25050803501016078 ~1989
25051919501038398 ~1989
25052831501056638 ~1989
25052987125264935110 ~1992
250532411503194479 ~1990
250533131503198799 ~1990
25053863501077278 ~1989
25054019501080398 ~1989
25054163501083278 ~1989
250542292004338339 ~1990
25054343501086878 ~1989
25054979501099598 ~1989
25055557135300007910 ~1992
25055759501115198 ~1989
25055819501116398 ~1989
25056491501129838 ~1989
250566714510200799 ~1991
25058123501162478 ~1989
25058171501163438 ~1989
250582272505822719 ~1990
Exponent Prime Factor Digits Year
250584171503505039 ~1990
25058471501169438 ~1989
25058483501169678 ~1989
25059143501182878 ~1989
25059371501187438 ~1989
250597011503582079 ~1990
250601531503609199 ~1990
250601996014447779 ~1991
25060319501206398 ~1989
25060391501207838 ~1989
250606612004852899 ~1990
25060859501217198 ~1989
25060991501219838 ~1989
250626192506261919 ~1990
25062659501253198 ~1989
25063799501275998 ~1989
25063823501276478 ~1989
25063919501278398 ~1989
25064471501289438 ~1989
25064639501292798 ~1989
25064939501298798 ~1989
25065563501311278 ~1989
25065611501312238 ~1989
250657792005262339 ~1990
25065851501317038 ~1989
Exponent Prime Factor Digits Year
25066031501320638 ~1989
25066319501326398 ~1989
25066523501330478 ~1989
25067459501349198 ~1989
250677611504065679 ~1990
25067879501357598 ~1989
25067891501357838 ~1989
250678914512220399
25068299501365998 ~1989
250683495515036799 ~1991
25068479501369598 ~1989
25068623501372478 ~1989
25068839501376798 ~1989
25069463501389278 ~1989
25069799501395998 ~1989
25070099501401998 ~1989
25070711501414238 ~1989
250707771504246639 ~1990
250708794512758239 ~1991
25071071501421438 ~1989
25071503501430078 ~1989
25071779501435598 ~1989
25071911501438238 ~1989
250719731504318399 ~1990
25071983501439678 ~1989
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