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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
29104837139703217710
29104987605383729710 ~1994
291050531746303199 ~1990
29105339582106798 ~1989
29105399582107998 ~1989
29105423582108478 ~1989
29105519582110398 ~1989
29106443582128878 ~1989
29106503582130078 ~1989
29106683582133678 ~1989
29107223582144478 ~1989
29107751582155038 ~1989
291080212328641699 ~1991
29108279582165598 ~1989
291086094075205279 ~1991
291086171746517039 ~1990
291092512328740099 ~1991
29109851582197038 ~1989
291103811746622879 ~1990
29110391582207838 ~1989
29110583582211678 ~1989
29110979582219598 ~1989
29111339582226798 ~1989
29111723582234478 ~1989
29112119582242398 ~1989
Exponent Prime Factor Digits Year
29112851582257038 ~1989
29113211582264238 ~1989
29113223582264478 ~1989
29113691582273838 ~1989
29113739582274798 ~1989
29113943582278878 ~1989
29115743582314878 ~1989
29116259582325198 ~1989
291163571746981439 ~1990
29116751582335038 ~1989
29116799582335998 ~1989
29116931582338638 ~1989
29117351582347038 ~1989
29117639582352798 ~1989
29118539582370798 ~1989
29118983582379678 ~1989
29119091582381838 ~1989
29119151582383038 ~1989
29119991582399838 ~1989
29120183582403678 ~1989
29120519582410398 ~1989
29120699582413998 ~1989
29121143582422878 ~1989
29121359582427198 ~1989
291216411747298479 ~1990
Exponent Prime Factor Digits Year
29121899582437998 ~1989
29122403582448078 ~1989
29123483582469678 ~1989
29123999582479998 ~1989
29124059582481198 ~1989
29124503582490078 ~1989
29124863582497278 ~1989
291250494077506879 ~1991
291252771747516639 ~1990
29125331582506638 ~1989
291253634660058099 ~1991
29125391582507838 ~1989
29126231582524638 ~1989
29126711582534238 ~1989
29126939582538798 ~1989
29127083582541678 ~1989
29128523582570478 ~1989
29128751582575038 ~1989
29129651582593038 ~1989
291296992330375939 ~1991
29130203582604078 ~1989
29131031582620638 ~1989
291313931747883599 ~1990
29131559582631198 ~1989
29132003582640078 ~1989
Exponent Prime Factor Digits Year
29132039582640798 ~1989
29132531582650638 ~1989
29133011582660238 ~1989
291343214661491379 ~1991
291344531748067199 ~1990
29134631163153933710 ~1993
29134643582692878 ~1989
29134751582695038 ~1989
29135219582704398 ~1989
29135471582709438 ~1989
29135831582716638 ~1989
29136083582721678 ~1989
29136839582736798 ~1989
29137739582754798 ~1989
291378171748269039 ~1990
291378531748271199 ~1990
29138579582771598 ~1989
291397011748382079 ~1990
29139839582796798 ~1989
29140151582803038 ~1989
291408475245352479 ~1992
29141279582825598 ~1989
29142383582847678 ~1989
29142959582859198 ~1989
291431812331454499 ~1991
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25-04-13