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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
20853319120949250310 ~1992
208535411251212479 ~1989
20853803417076078 ~1988
20853851417077038 ~1988
20854271417085438 ~1988
20854919417098398 ~1988
208556211251337279 ~1989
20855759417115198 ~1988
208557677090960799 ~1991
20856131417122638 ~1988
20856359417127198 ~1988
20856383417127678 ~1988
20857043417140878 ~1988
208572171251433039 ~1989
208573211251439279 ~1989
20858111417162238 ~1988
208581971251491839 ~1989
208583895006013379 ~1991
208586811251520879 ~1989
208589691668717539 ~1990
208596531251579199 ~1989
20859659417193198 ~1988
20860331417206638 ~1988
208603933337662899 ~1990
208603971668831779 ~1990
Exponent Prime Factor Digits Year
208606671668853379 ~1990
20860811417216238 ~1988
208610171251661039 ~1989
20861051417221038 ~1988
20861339417226798 ~1988
20861663417233278 ~1988
20861783417235678 ~1988
20861999417239998 ~1988
20862059417241198 ~1988
20862239417244798 ~1988
20862251417245038 ~1988
20862899417257998 ~1988
20862923417258478 ~1988
20862983417259678 ~1988
20863631417272638 ~1988
20863943417278878 ~1988
208642813338284979 ~1990
20864303417286078 ~1988
208646091669168739 ~1990
208651492921120879 ~1990
208654731251928399 ~1989
208657371251944239 ~1989
20866211417324238 ~1988
20866343417326878 ~1988
208663436677229779
Exponent Prime Factor Digits Year
20866511417330238 ~1988
20866679417333598 ~1988
20866691417333838 ~1988
20867303417346078 ~1988
20867471417349438 ~1988
208685811252114879 ~1989
20868623417372478 ~1988
20868671417373438 ~1988
20868839417376798 ~1988
208690911669527299 ~1990
20869223417384478 ~1988
208692371252154239 ~1989
20870051417401038 ~1988
20870231417404638 ~1988
208711331252267999 ~1989
20871731417434638 ~1988
208717571252305439 ~1989
20871863417437278 ~1988
208719731252318399 ~1989
20872151417443038 ~1988
20873159417463198 ~1988
20873483417469678 ~1988
208744491669955939 ~1990
20874611417492238 ~1988
208747798767407199 ~1991
Exponent Prime Factor Digits Year
208749131252494799 ~1989
208750935010022339 ~1991
20875103417502078 ~1988
20875139417502798 ~1988
20875619417512398 ~1988
20875979417519598 ~1988
20876351417527038 ~1988
20876519417530398 ~1988
208769931252619599 ~1989
20877431417548638 ~1988
20877743417554878 ~1988
20877959417559198 ~1988
208782131252692799 ~1989
208784411252706479 ~1989
20878523417570478 ~1988
20878631417572638 ~1988
208791291670330339 ~1990
20879483417589678 ~1988
208795011252770079 ~1989
208796035011104739 ~1991
20880323417606478 ~1988
20881163417623278 ~1988
20881463417629278 ~1988
20881571417631438 ~1988
208819211252915279 ~1989
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