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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
567386631134773279 ~1992
567403191134806399 ~1992
567405111134810239 ~1992
567409911134819839 ~1992
56741857136180456910 ~1994
567422213404533279 ~1993
56742947102137304710 ~1994
567431031134862079 ~1992
567432133404592799 ~1993
567461773404770639 ~1993
56746499136191597710 ~1994
567467574539740579 ~1993
567473333404839999 ~1993
56747533136194079310 ~1994
567478911134957839 ~1992
567512031135024079 ~1992
567512511135025039 ~1992
567539475675394719 ~1993
567559914540479299 ~1993
567565013405390079 ~1993
567576613405459679 ~1993
567581991135163999 ~1992
567590631135181279 ~1992
567593235675932319 ~1993
56759501215686103910 ~1995
Exponent Prime Factor Digits Year
56761427283807135110 ~1995
567623991135247999 ~1992
567639231135278479 ~1992
567670431135340879 ~1992
567676431135352879 ~1992
567694035676940319 ~1993
567696591135393199 ~1992
567697431135394879 ~1992
567698573406191439 ~1993
56770381715306800710 ~1996
567705231135410479 ~1992
567707511135415039 ~1992
56771131102188035910 ~1994
567723111135446239 ~1992
56772773817527931310 ~1996
567731031135462079 ~1992
567743031135486079 ~1992
567746573406479439 ~1993
56775077170325231110 ~1994
567779391135558799 ~1992
567787974542303779 ~1993
567799791135599599 ~1992
567815511135631039 ~1992
567815631135631279 ~1992
567820039085120499 ~1994
Exponent Prime Factor Digits Year
567821391135642799 ~1992
56782657170347971110 ~1994
567836115678361119 ~1993
56783651147637492710 ~1994
567838791135677599 ~1992
567840831135681679 ~1992
567845511135691039 ~1992
567868333407209999 ~1993
567877191135754399 ~1992
567888831135777679 ~1992
567894591135789199 ~1992
567918591135837199 ~1992
567921711135843439 ~1992
56792587272604417710 ~1995
567956031135912079 ~1992
567964013407784079 ~1993
567965991135931999 ~1992
567966533407799199 ~1993
567971991135943999 ~1992
56799179102238522310 ~1994
567992991135985999 ~1992
567997279087956339 ~1994
568039791136079599 ~1992
568049031136098079 ~1992
568063573408381439 ~1993
Exponent Prime Factor Digits Year
568065831136131679 ~1992
568078275680782719 ~1993
568078791136157599 ~1992
56808607102255492710 ~1994
568093275680932719 ~1993
568118031136236079 ~1992
568120431136240879 ~1992
568125774545006179 ~1993
568134413408806479 ~1993
568150395681503919 ~1993
568167591136335199 ~1992
568172511136345039 ~1992
568186311136372639 ~1992
568196694545573539 ~1993
568221231136442479 ~1992
568245111136490239 ~1992
568249191136498399 ~1992
568259631136519279 ~1992
568264333409585999 ~1993
568267431136534879 ~1992
568268213409609279 ~1993
568287711136575439 ~1992
568302111136604239 ~1992
568308591136617199 ~1992
568308831136617679 ~1992
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25-05-04