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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
8900123101461402310 ~1990
8900201534012078 ~1986
89002731246038239 ~1987
8900279712022338 ~1987
8900399178007998 ~1985
89006692136160579 ~1988
8900891178017838 ~1985
89009291958204399 ~1988
89011211958246639 ~1988
8901911178038238 ~1985
8901911712152898
8901923178038478 ~1985
8902037534122238 ~1986
8902211712176898 ~1987
8902499178049998 ~1985
8902717534163038 ~1986
8902871178057438 ~1985
8902871712229698
8903183178063678 ~1985
8903201534192078 ~1986
8903759178075198 ~1985
8903819178076398 ~1985
8904173534250398 ~1986
8904299178085998 ~1985
8904317534259038 ~1986
Exp. Prime Factor Digits Year
8904431178088638 ~1985
8904431712354498
8904491178089838 ~1985
8904557534273438 ~1986
8904601534276078 ~1986
8904839178096798 ~1985
8904911178098238 ~1985
8905031178100638 ~1985
8905079178101598 ~1985
89051512315339279 ~1988
8905181534310878 ~1986
8905321534319278 ~1986
89053271602958879 ~1988
8905619178112398 ~1985
89057472137379299 ~1988
89064071425025139 ~1987
8906561534393678 ~1986
8906593534395598 ~1986
8906939178138798 ~1985
8906969712557538 ~1987
8907077534424638 ~1986
8907377712590178 ~1987
8907539178150798 ~1985
89077191603389439 ~1988
8907733534463998 ~1986
Exp. Prime Factor Digits Year
8907841534470478 ~1986
89079114988430179 ~1989
8908183890818318 ~1987
8908271178165438 ~1985
8908373534502398 ~1986
8908477534508638 ~1986
8908589333181228710 ~1991
8908673534520398 ~1986
8908703178174078 ~1985
8908721534523278 ~1986
8908937534536238 ~1986
89089432138146339 ~1988
89089878552627539 ~1989
8909321712745698 ~1987
8909903178198078 ~1985
8909941534596478 ~1986
8910179178203598 ~1985
8910179755583179310
89101993742283599 ~1988
8910481534628878 ~1986
8910719178214398 ~1985
8911379178227598 ~1985
8911453534687198 ~1986
8911607712928578 ~1987
8911631178232638 ~1985
Exp. Prime Factor Digits Year
8911781534706878 ~1986
8911997534719838 ~1986
8912053534723198 ~1986
8912219178244398 ~1985
8912279178245598 ~1985
8912399178247998 ~1985
89124891247748479 ~1987
8912537713002978 ~1987
8912591178251838 ~1985
8912741534764478 ~1986
8912999178259998 ~1985
8913119178262398 ~1985
8913161534789678 ~1986
8913187891318718 ~1987
89134031426144499 ~1987
8913539178270798 ~1985
8913563178271278 ~1985
8913791178275838 ~1985
8913901534834078 ~1986
8913917534835038 ~1986
8913923178278478 ~1985
8914319178286398 ~1985
8914331178286638 ~1985
8914583178291678 ~1985
8914799178295998 ~1985
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25-04-13