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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
42688463853769278 ~1991
42689051853781038 ~1991
426899873415198979 ~1992
42690971853819438 ~1991
426918773415350179 ~1992
426934913415479299 ~1992
426942139392726879 ~1993
42697463102473911310 ~1993
42698459853969198 ~1991
42699071853981438 ~1991
42699851853997038 ~1991
42700631854012638 ~1991
427009012562054079 ~1992
427016935978237039 ~1993
427019993416159939 ~1992
42702083854041678 ~1991
42702479854049598 ~1991
427025093416200739 ~1992
42702791307460095310 ~1994
42703499854069998 ~1991
42704423854088478 ~1991
42706211854124238 ~1991
42706451854129038 ~1991
42706511854130238 ~1991
42707891854157838 ~1991
Exponent Prime Factor Digits Year
427082932562497599 ~1992
42708983854179678 ~1991
42710351854207038 ~1991
42710399854207998 ~1991
427111812562670879 ~1992
42711703102508087310 ~1993
42713399854267998 ~1991
42713591854271838 ~1991
427145412562872479 ~1992
427153972562923839 ~1992
42715511854310238 ~1991
427182713417461699 ~1992
427190572563143439 ~1992
427191772563150639 ~1992
42719783854395678 ~1991
42720539854410798 ~1991
42720599854411998 ~1991
42722629299058403110 ~1994
42722651854453038 ~1991
42726311854526238 ~1991
42727259854545198 ~1991
42727319854546398 ~1991
42728051854561038 ~1991
427294372563766239 ~1992
427295932563775599 ~1992
Exponent Prime Factor Digits Year
42729971854599438 ~1991
42730091854601838 ~1991
42730199854603998 ~1991
42730223854604478 ~1991
42730663102553591310 ~1993
42730703854614078 ~1991
42730739854614798 ~1991
42731831854636638 ~1991
42733811854676238 ~1991
427339132564034799 ~1992
42734171854683438 ~1991
42734663854693278 ~1991
42735083854701678 ~1991
42735419854708398 ~1991
427362172564173039 ~1992
42736751854735038 ~1991
427369375983171199 ~1993
42738743854774878 ~1991
427388772564332639 ~1992
42739043854780878 ~1991
42742439854848798 ~1991
42744599854891998 ~1991
42744899854897998 ~1991
427449732564698399 ~1992
427455532564733199 ~1992
Exponent Prime Factor Digits Year
42746111854922238 ~1991
42746519854930398 ~1991
427473074274730719 ~1992
42749711854994238 ~1991
42749831854996638 ~1991
42750511171002044110 ~1994
42750863855017278 ~1991
42751979855039598 ~1991
42752051855041038 ~1991
42752903855058078 ~1991
427535172565211039 ~1992
42754403855088078 ~1991
42755807342046456110 ~1995
427565836841053299 ~1993
427573613420588899 ~1992
427575772565454639 ~1992
42759191855183838 ~1991
42759779855195598 ~1991
42761363855227278 ~1991
42761591855231838 ~1991
42761639855232798 ~1991
427623713420989699 ~1992
42763859855277198 ~1991
42764651855293038 ~1991
427646993421175939 ~1992
2057
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25-11-02