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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
25730483514609678 ~1989
25731119514622398 ~1989
25731911514638238 ~1989
25733003514660078 ~1989
25733171514663438 ~1989
25733783514675678 ~1989
25734323514686478 ~1989
257349714632294799 ~1991
25734983514699678 ~1989
257351811544110879 ~1990
25735211514704238 ~1989
25735511514710238 ~1989
257356571544139439 ~1990
257359011544154079 ~1990
25736411514728238 ~1989
25736831514736638 ~1989
25736939514738798 ~1989
25736999514739998 ~1989
25737359514747198 ~1989
257383934118142899 ~1991
25738451514769038 ~1989
25738763514775278 ~1989
257398674633176079 ~1991
25739999514799998 ~1989
25740131514802638 ~1989
Exponent Prime Factor Digits Year
25740503514810078 ~1989
25741379514827598 ~1989
257417331544503999 ~1990
25741871514837438 ~1989
257419811544518879 ~1990
257422731544536399 ~1990
25742903514858078 ~1989
25743479514869598 ~1989
25743563514871278 ~1989
257436072574360719 ~1991
257437371544624239 ~1990
25744079514881598 ~1989
25744583514891678 ~1989
25744871514897438 ~1989
25746047128730235110 ~1992
25746251514925038 ~1989
257464392574643919 ~1991
25747283514945678 ~1989
25748699514973998 ~1989
25748711514974238 ~1989
25748843514976878 ~1989
257489536179748739 ~1991
257494571544967439 ~1990
257495516694883279 ~1992
25749863514997278 ~1989
Exponent Prime Factor Digits Year
257500131545000799 ~1990
25750037123600177710 ~1992
25750331515006638 ~1989
25750391515007838 ~1989
25750619515012398 ~1989
25751003515020078 ~1989
25751399515027998 ~1989
25751471515029438 ~1989
25751543515030878 ~1989
25751903515038078 ~1989
25752491515049838 ~1989
25752539515050798 ~1989
25752563515051278 ~1989
25752911515058238 ~1989
25752983515059678 ~1989
25753463515069278 ~1989
25753523515070478 ~1989
257536331545217999 ~1990
257541292060330339 ~1990
25754999515099998 ~1989
25755479515109598 ~1989
25755563515111278 ~1989
25756019515120398 ~1989
257561512060492099 ~1990
25756583515131678 ~1989
Exponent Prime Factor Digits Year
25756859515137198 ~1989
25756931515138638 ~1989
257579812060638499 ~1990
25758443515168878 ~1989
257584935666868479 ~1991
25758599515171998 ~1989
25759463515189278 ~1989
25759823515196478 ~1989
25760123515202478 ~1989
257609276697841039 ~1992
257625736183017539 ~1991
25762799515255998 ~1989
25762931515258638 ~1989
25763651515273038 ~1989
25763839108208123910 ~1992
25764311515286238 ~1989
25764763103059052110 ~1992
257651938244861779 ~1992
25765391515307838 ~1989
25765703515314078 ~1989
25765763515315278 ~1989
25766243515324878 ~1989
257663331545979999 ~1990
25766651515333038 ~1989
25767023515340478 ~1989
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