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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
73354812200644319
7335611586848898 ~1986
7335743146714878 ~1985
73366573374862239 ~1988
7336691146733838 ~1985
73367331027142639 ~1987
7336799146735998 ~1985
7336873440212398 ~1986
73370091027181279 ~1987
7337279146745598 ~1985
7337327586986178 ~1986
7337339586987138 ~1986
7337357440241438 ~1986
7337717587017378 ~1986
7337723146754478 ~1985
7337909587032738 ~1986
73379092201372719
7338059146761198 ~1985
7338119146762398 ~1985
73382171174114739 ~1987
7338293440297598 ~1986
7338371146767438 ~1985
73383771027372799 ~1987
7338431146768638 ~1985
7339559587164738 ~1986
Exp. Prime Factor Digits Year
7339583146791678 ~1985
7339751146795038 ~1985
7339763146795278 ~1985
73401012202030319 ~1987
73401171027616399 ~1987
7340159146803198 ~1985
73402971027641599 ~1987
73403092202092719 ~1987
7340363146807278 ~1985
73407171027700399 ~1987
7340833440449998 ~1986
7340867587269378 ~1986
7341023146820478 ~1985
7341143146822878 ~1985
7341359146827198 ~1985
7341359587308738
7341461587316898 ~1986
7341539146830798 ~1985
7341647587331778 ~1986
73416891762005379 ~1987
7342087734208718 ~1986
73421034845787999 ~1988
7342193440531598 ~1986
7342393440543598 ~1986
73424095727079039 ~1988
Exp. Prime Factor Digits Year
7342513440550798 ~1986
73430231174883699 ~1987
7343053440583198 ~1986
7343183146863678 ~1985
7343333440599998 ~1986
7344251146885038 ~1985
7344503146890078 ~1985
7344553440673198 ~1986
7344853440691198 ~1986
7344983146899678 ~1985
7345049587603938 ~1986
7345097440705838 ~1986
7345141440708478 ~1986
7345631146912638 ~1985
7345777440746638 ~1986
7345823146916478 ~1985
7345931146918638 ~1985
7345937440756238 ~1986
73459371028431199
7346113440766798 ~1986
7346231146924638 ~1985
7346237587698978 ~1986
7346693440801598 ~1986
73471491763315779 ~1987
7347491146949838 ~1985
Exp. Prime Factor Digits Year
7347503146950078 ~1985
73476011616472239 ~1987
7347911146958238 ~1985
7348001440880078 ~1986
73480431763530339 ~1987
7348157440889438 ~1986
7348499146969998 ~1985
73486671322760079 ~1987
7348697440921838 ~1986
73487931028831039 ~1987
7348931146978638 ~1985
7349003146980078 ~1985
7349477440968638 ~1986
73494971175919539 ~1987
7349533440971998 ~1986
7349609587968738 ~1986
7349711146994238 ~1985
7349737440984238 ~1986
7349893440993598 ~1986
7350127735012718 ~1986
7350263147005278 ~1985
7350361441021678 ~1986
7350419147008398 ~1985
7350481441028878 ~1986
7350641441038478 ~1986
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25-04-13