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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.
Exp. Prime Factor Digits Year
59669931909437779
5967061358023678 ~1985
59671614296355939 ~1988
5967179119343598 ~1984
5967803119356078 ~1984
5967877954860338 ~1986
5967917358075038 ~1985
5968019119360398 ~1984
5968031119360638 ~1984
5968049835526878 ~1986
5968181358090878 ~1985
59684392506744399 ~1987
5968691477495298 ~1985
5968813358128798 ~1985
5968883119377678 ~1984
5968939596893918 ~1986
5969357477548578 ~1985
5969437358166238 ~1985
59694371790831119
59694611313281439 ~1986
5969729477578338 ~1985
59698615731066579 ~1988
5969863596986318 ~1986
5970053358203198 ~1985
5970067597006718 ~1986
Exp. Prime Factor Digits Year
5970157955225138 ~1986
5970203119404078 ~1984
59702411313453039 ~1986
59702991074653839 ~1986
5970449477635938 ~1985
59705112388204419 ~1987
5970599119411998 ~1984
5970599477647938
5970763597076318 ~1986
59707992388319619 ~1987
5970803119416078 ~1984
5971093358265598 ~1985
5971151119423038 ~1984
59712792388511619 ~1987
5971379119427598 ~1984
5971391119427838 ~1984
5971463119429278 ~1984
5971799119435998 ~1984
5971919119438398 ~1984
5971951597195118 ~1986
5972357358341438 ~1985
5972537358352238 ~1985
5972699119453998 ~1984
5972903119458078 ~1984
5973119119462398 ~1984
Exp. Prime Factor Digits Year
5973263119465278 ~1984
5973497358409838 ~1985
5973503119470078 ~1984
5973563119471278 ~1984
5973601358416078 ~1985
5973637358418238 ~1985
5973881358432878 ~1985
5973881477910498
5973893836345038 ~1986
5974019477921538 ~1985
5974301358458078 ~1985
59743331314353279 ~1986
5974337358460238 ~1985
5974343119486878 ~1984
5974469477957538 ~1985
5974511119490238 ~1984
5974543597454318 ~1986
5974933955989298 ~1986
5975017358501038 ~1985
5975171119503438 ~1984
5975197358511838 ~1985
5975267478021378 ~1985
5975351119507038 ~1984
5975401358524078 ~1985
5975513358530798 ~1985
Exp. Prime Factor Digits Year
5976281358576878 ~1985
59763014661514799 ~1988
59764091434338179 ~1987
5976563119531278 ~1984
5976701478136098 ~1985
59767012868816499
5976881478150498 ~1985
5976923119538478 ~1984
5977199119543998 ~1984
5977289478183138 ~1985
5977379478190338 ~1985
5977667478213378 ~1985
5977733358663998 ~1985
5978047597804718 ~1986
5978051119561038 ~1984
5978117478249378 ~1985
5978177358690638 ~1985
5978363119567278 ~1984
59783631554374399
5978471119569438 ~1984
5978639119572798 ~1984
5978737358724238 ~1985
5978783119575678 ~1984
5979023119580478 ~1984
5979059119581198 ~1984
773
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25-11-02