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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
3416057819853698 ~1985
341611168322237 ~1982
341627968325597 ~1982
34163891639866739 ~1985
3416459273316738 ~1983
3416641204998478 ~1983
3416683341668318 ~1984
3416731341673118 ~1984
34167979020344099 ~1987
341699968339997 ~1982
341714368342877 ~1982
3417487615147678 ~1984
341750368350077 ~1982
3417847820283298 ~1985
3417893205073598 ~1983
3417899273431938 ~1983
3417907341790718 ~1984
3418087341808718 ~1984
3418913478647838 ~1984
341893168378637 ~1982
3418931273514498
3418997273519778 ~1983
3419033478664638 ~1984
341924368384877 ~1982
3419321205159278 ~1983
Exp. Prime Factor Digits Year
34195311914937379 ~1986
3419653205179198 ~1983
3419707341970718 ~1984
342008368401677 ~1982
34200831915246499
3420253205215198 ~1983
3420341273627298 ~1983
3420457205227438 ~1983
3420617478886398 ~1984
3420631342063118 ~1984
3420787615741678 ~1984
3420821205249278 ~1983
342107968421597 ~1982
3421513752732878 ~1985
3421633205297998 ~1983
342167968433597 ~1982
3421793479051038 ~1984
34218533284978899 ~1986
34220171026605119 ~1985
3422137205328238 ~1983
3422143342214318 ~1984
3422207273776578 ~1983
3422227342222718 ~1984
342223168444637 ~1982
3422437547589938 ~1984
Exp. Prime Factor Digits Year
3422437821384898
342248368449677 ~1982
342254368450877 ~1982
342265168453037 ~1982
3422651273812098
3422723821453538 ~1985
3422753205365198 ~1983
34229871711493519 ~1985
34231431437720079 ~1985
342319168463837 ~1982
34232711437773839 ~1985
342341968468397 ~1982
342361168472237 ~1982
34236311437925039 ~1985
342365968473197 ~1982
342368368473677 ~1982
342386368477277 ~1982
3423899616301838 ~1984
34240631369625219 ~1985
3424073479370238 ~1984
34241511095728339 ~1985
3424207342420718 ~1984
3424243821818338 ~1985
3424307273944578 ~1983
3424397821855298 ~1985
Exp. Prime Factor Digits Year
3424459342445918 ~1984
34244691095830099 ~1985
342455968491197 ~1982
3424621753416638 ~1985
342464368492877 ~1982
342470368494077 ~1982
3424727273978178 ~1983
342476368495277 ~1982
3424901273992098 ~1983
3424933753485278 ~1985
342535168507037 ~1982
3425447274035778 ~1983
342584368516877 ~1982
342587968517597 ~1982
34260771027823119 ~1985
342611968522397 ~1982
34261393015002339 ~1986
3426217548194738 ~1984
342635968527197 ~1982
34264914180319039 ~1986
342662368532477 ~1982
34268232467312579 ~1986
3427093205625598 ~1983
3427141205628478 ~1983
342721168544237 ~1982
548
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25-09-07