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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
415243397474381039 ~1993
41524643830492878 ~1991
41524979830499598 ~1991
41525411830508238 ~1991
41525843830516878 ~1991
41526263830525278 ~1991
41526497232548383310 ~1994
41526731830534638 ~1991
41527099174413815910 ~1994
415273634152736319 ~1992
41527679830553598 ~1991
41527883830557678 ~1991
41527943830558878 ~1991
415282332491693999 ~1992
41528579830571598 ~1991
41529083830581678 ~1991
41529311830586238 ~1991
41529461132894275310 ~1993
41529671830593438 ~1991
41530271830605438 ~1991
41530679830613598 ~1991
41530763830615278 ~1991
41531183830623678 ~1991
41531713290721991110 ~1994
41532191830643838 ~1991
Exponent Prime Factor Digits Year
41533391830667838 ~1991
41533403830668078 ~1991
41533931830678638 ~1991
41534411830688238 ~1991
41534543830690878 ~1991
41534639830692798 ~1991
41535023830700478 ~1991
415351572492109439 ~1992
415356799968562979 ~1993
41535803174450372710 ~1994
41535863830717278 ~1991
41535971830719438 ~1991
41536331830726638 ~1991
41536823830736478 ~1991
41536871830737438 ~1991
41537063830741278 ~1991
41537339830746798 ~1991
41537399830747998 ~1991
41537423830748478 ~1991
41537843830756878 ~1991
41538671830773438 ~1991
415389674153896719 ~1992
41539523830790478 ~1991
41539931830798638 ~1991
41540039830800798 ~1991
Exponent Prime Factor Digits Year
41540111174468466310 ~1994
41541299830825998 ~1991
41541431830828638 ~1991
415416499139162799 ~1993
41542199830843998 ~1991
415422732492536399 ~1992
41542463830849278 ~1991
41543039830860798 ~1991
41543759830875198 ~1991
41544011830880238 ~1991
41544731830894638 ~1991
41545151830903038 ~1991
415471793323774339 ~1992
41547479830949598 ~1991
41547791830955838 ~1991
415478412492870479 ~1992
41548751830975038 ~1991
415487813323902499 ~1992
41549639830992798 ~1991
41549831830996638 ~1991
41549939830998798 ~1991
41549999830999998 ~1991
41550263831005278 ~1991
41551199831023998 ~1991
41551739831034798 ~1991
Exponent Prime Factor Digits Year
41552711831054238 ~1991
41552999831059998 ~1991
41553419831068398 ~1991
41554283831085678 ~1991
41554343831086878 ~1991
41554391831087838 ~1991
41554559831091198 ~1991
41554679831093598 ~1991
41555219831104398 ~1991
41555291831105838 ~1991
415556213324449699 ~1992
41555959872675139110 ~1995
415562716649003379 ~1993
41556479831129598 ~1991
41556563831131278 ~1991
41556863831137278 ~1991
415571834155718319 ~1992
41557283831145678 ~1991
41557751831155038 ~1991
41557811831156238 ~1991
41557931831158638 ~1991
41558351831167038 ~1991
41558411831168238 ~1991
41558459831169198 ~1991
41558483831169678 ~1991
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