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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
7341539146830798 ~1985
7341647587331778 ~1986
73416891762005379 ~1987
7342087734208718 ~1986
73421034845787999 ~1988
7342193440531598 ~1986
73422012936880419 ~1988
7342393440543598 ~1986
73424095727079039 ~1989
7342513440550798 ~1986
7342787123358821710 ~1989
73428311174852979 ~1987
73430231174883699 ~1987
7343053440583198 ~1986
7343183146863678 ~1985
7343263734326318 ~1986
7343333440599998 ~1986
7344251146885038 ~1985
7344503146890078 ~1985
7344553440673198 ~1986
7344853440691198 ~1986
7344983146899678 ~1985
7345049587603938 ~1986
7345097440705838 ~1986
7345141440708478 ~1986
Exp. Prime Factor Digits Year
7345631146912638 ~1985
7345777440746638 ~1986
7345823146916478 ~1985
7345931146918638 ~1985
7345937440756238 ~1986
73459371028431199
7346113440766798 ~1986
7346231146924638 ~1985
7346237587698978 ~1986
7346347734634718 ~1986
7346693440801598 ~1986
73471491763315779 ~1987
7347491146949838 ~1985
7347503146950078 ~1985
73476011616472239 ~1987
7347911146958238 ~1985
7348001440880078 ~1986
73480431763530339 ~1987
7348157440889438 ~1986
7348499146969998 ~1985
73486671322760079 ~1987
7348697440921838 ~1986
73487931028831039 ~1987
7348843734884318 ~1986
7348931146978638 ~1985
Exp. Prime Factor Digits Year
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
7350877441052638 ~1986
7351031147020638 ~1985
7351583147031678 ~1985
7351607588128578 ~1986
7351637441098238 ~1986
7351691147033838 ~1985
7351987735198718 ~1986
73520471323368479 ~1987
7352063147041278 ~1985
73524611176393779 ~1987
7352519147050398 ~1985
Exp. Prime Factor Digits Year
7352977441178638 ~1986
7352999588239938 ~1986
73532511323585199 ~1987
7353431147068638 ~1985
73535271323634879 ~1987
7353539147070798 ~1985
7353659588292738 ~1986
7354079147081598 ~1985
7354199147083998 ~1985
7354271147085438 ~1985
7354283147085678 ~1985
73542894559659199 ~1988
7354631147092638 ~1985
73546492794766639 ~1988
73546811176748979 ~1987
7354751147095038 ~1985
7354861441291678 ~1986
7354883147097678 ~1985
7354927735492718 ~1986
7355039147100798 ~1985
7355141441308478 ~1986
7355141588411298
7355143735514318 ~1986
7355303147106078 ~1985
7355363147107278 ~1985
882
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26-01-11