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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
10263983205279678 ~1986
10264301615858078 ~1987
10264343205286878 ~1986
10264357615861438 ~1987
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
Exponent Prime Factor Digits Year
10267403205348078 ~1986
102674471642791539 ~1988
102679371437511199 ~1988
10268101616086078 ~1987
10268171205363438 ~1986
10268381821470498 ~1987
10268393616103598 ~1987
10268411205368238 ~1986
10268519205370398 ~1986
102686818214944819 ~1990
10269137616148238 ~1987
10269179205383598 ~1986
10269263205385278 ~1986
10269491205389838 ~1986
10269911205398238 ~1986
10270277616216638 ~1987
10270277821622178
10270391205407838 ~1986
102704331437860639 ~1988
10270607821648578 ~1987
10270691205413838 ~1986
10271231205424638 ~1986
10271231821698498
10271377616282638 ~1987
10271483205429678 ~1986
Exponent Prime Factor Digits Year
10271693616301598 ~1987
10271741616304478 ~1987
10271879205437598 ~1986
10271909821752738 ~1987
10272011205440238 ~1986
10272013616320798 ~1987
10272371205447438 ~1986
10272803205456078 ~1986
102729071849123279 ~1988
102729172465500099 ~1988
10273273616396398 ~1987
10273297616397838 ~1987
10273541616412478 ~1987
10273693616421598 ~1987
10273751205475038 ~1986
10273799205475998 ~1986
10273883205477678 ~1986
10274039205480798 ~1986
10274219205484398 ~1986
102743871849389679 ~1988
10274711205494238 ~1986
10275073616504398 ~1987
10275431205508638 ~1986
10275623205512478 ~1986
10276379205527598 ~1986
Exponent Prime Factor Digits Year
10276571822125698 ~1987
102765892466381379 ~1988
10276631205532638 ~1986
102767111027671119 ~1987
10276751205535038 ~1986
10276907822152578 ~1987
10277417616645038 ~1987
10277417822193378
10277483205549678 ~1986
10277549822203938 ~1987
10277693616661598 ~1987
102776935755508099
10277857271335424910 ~1991
10278011205560238 ~1986
10278097616685838 ~1987
102781332466751939 ~1988
10278431205568638 ~1986
10278959205579198 ~1986
10279103205582078 ~1986
102791213083736319 ~1989
10279153616749198 ~1987
102794573083837119 ~1989
102795671850322079 ~1988
10279943205598878 ~1986
10280243205604878 ~1986
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