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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
51199091126379999 ~1986
5119973307198398 ~1985
5120263512026318 ~1985
5120371819259378 ~1986
51205972765122399 ~1987
5120657307239438 ~1985
5120831102416638 ~1983
5120957409676578 ~1985
5120957716933998
5120963102419278 ~1983
5121209409696738 ~1985
5121323102426478 ~1983
5121353307281198 ~1985
5121359102427198 ~1983
5121667819466738 ~1986
5121821307309278 ~1985
5121841307310478 ~1985
5121911102438238 ~1983
5122121307327278 ~1985
5122277717118798 ~1985
5122433717140638 ~1985
5122679102453598 ~1983
5122739102454798 ~1983
5122889717204478 ~1985
5122919102458398 ~1983
Exp. Prime Factor Digits Year
5122961409836898 ~1985
5123003102460078 ~1983
5123197307391838 ~1985
5123231102464638 ~1983
5123281819724978 ~1986
5123771102475438 ~1983
5124011102480238 ~1983
51241313689374339 ~1987
51242531229820739 ~1986
51244431332355199 ~1986
51244915022001199 ~1988
5124683102493678 ~1983
51250733177545279 ~1987
51252016457753279 ~1988
5125273307516398 ~1985
5125321233714637710 ~1989
5125511102510238 ~1983
5125733585358708710 ~1990
5125811410064898 ~1985
5125931102518638 ~1983
5126003102520078 ~1983
5126123102522478 ~1983
5126483102529678 ~1983
5126603102532078 ~1983
5126753307605198 ~1985
Exp. Prime Factor Digits Year
5126819410145538 ~1985
51269091230458179 ~1986
5126959512695918 ~1985
5126963102539278 ~1983
5126971512697118 ~1985
51269773588883919 ~1987
5127203102544078 ~1983
5127341307640478 ~1985
5127481820396978 ~1986
5127839410227138 ~1985
5127971102559438 ~1983
51282971538489119 ~1986
5128337307700238 ~1985
5128337410266978
5128351923103198 ~1986
5128391102567838 ~1983
5128523102570478 ~1983
5128583102571678 ~1983
5128691102573838 ~1983
5128817718034398 ~1985
5128859102577198 ~1983
5128867923196078 ~1986
5128973718056238 ~1985
5129129410330338 ~1985
5129171102583438 ~1983
Exp. Prime Factor Digits Year
51291771538753119 ~1986
5129197307751838 ~1985
5129279102585598 ~1983
5129309410344738 ~1985
5129381307762878 ~1985
5129557307773438 ~1985
5129953307797198 ~1985
5130017307801038 ~1985
5130067513006718 ~1985
5130557410444578 ~1985
5130577307834638 ~1985
5130683102613678 ~1983
5130743102614878 ~1983
5130857307851438 ~1985
5131013718341838 ~1985
5131019102620398 ~1983
5131163102623278 ~1983
5131177307870638 ~1985
5131207820993138 ~1986
5131211410496898 ~1985
5131543821046898 ~1986
5131631410530498 ~1985
5131799102635998 ~1983
5131823102636478 ~1983
5131961307917678 ~1985
717
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26-03-15