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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
10249979819998338 ~1987
102506931435097039 ~1988
10250759205015198 ~1986
10250771205015438 ~1986
102508433280269779 ~1989
102509691435135679 ~1988
10251011205020238 ~1986
10251347820107778 ~1987
10251443205028878 ~1986
102516132255354879 ~1988
10251817615109038 ~1987
10252271205045438 ~1986
10252301615138078 ~1987
10252433615145998 ~1987
10252577615154638 ~1987
10252919205058398 ~1986
10253213615192798 ~1987
10253471205069438 ~1986
102534711845624799
102540291435564079 ~1988
10254173615250398 ~1987
10254841615290478 ~1987
102549132461179139 ~1988
10254983205099678 ~1986
10255499205109998 ~1986
Exponent Prime Factor Digits Year
10255523205110478 ~1986
10255571205111438 ~1986
10255681615340878 ~1987
102558311640932979 ~1988
10256243205124878 ~1986
10256303180510932910 ~1990
10256531820522498 ~1987
10256663205133278 ~1986
10256783205135678 ~1986
10257061615423678 ~1987
10257277615436638 ~1987
102576974103078819 ~1989
10257743205154878 ~1986
10257959205159198 ~1986
102580572461933699 ~1988
10258091205161838 ~1986
10258177615490638 ~1987
10258211205164238 ~1986
10258739205174798 ~1986
10259531205190638 ~1986
102600118208008819 ~1990
10260083205201678 ~1986
10260221615613278 ~1987
10260839205216798 ~1986
10260923205218478 ~1986
Exponent Prime Factor Digits Year
10261019205220398 ~1986
10261177615670638 ~1987
10261211205224238 ~1986
102612132462691139 ~1988
10261271205225438 ~1986
102617213899453999 ~1989
10261763205235278 ~1986
10261781820942498 ~1987
10261793615707598 ~1987
10262051205241038 ~1986
10262221615733278 ~1987
102623872668220639 ~1988
10262597615755838 ~1987
10262699205253998 ~1986
10262737615764238 ~1987
10263107821048578 ~1987
10263133615787998 ~1987
10263479205269598 ~1986
10263557615813438 ~1987
10263611205272238 ~1986
10263887821110978 ~1987
10263983205279678 ~1986
10264301615858078 ~1987
10264343205286878 ~1986
10264357615861438 ~1987
Exponent Prime Factor Digits Year
10264511205290238 ~1986
10264697615881838 ~1987
10264703205294078 ~1986
10264853615891198 ~1987
10264861615891678 ~1987
10264979205299598 ~1986
102652371437133199 ~1988
10265459205309198 ~1986
102655031026550319 ~1987
102655131437171839 ~1988
10265597615935838 ~1987
10265891205317838 ~1986
10265939205318798 ~1986
10265999205319998 ~1986
10266071205321438 ~1986
10266083205321678 ~1986
102663311026633119 ~1987
102663671642618739 ~1988
10266527821322178 ~1987
10266961616017678 ~1987
10267139205342798 ~1986
10267403205348078 ~1986
102674471642791539 ~1988
102679371437511199 ~1988
10268101616086078 ~1987
1025
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25-04-13