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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
41748779834975598 ~1991
41748911834978238 ~1991
41749199834983998 ~1991
41750603835012078 ~1991
41751011175354246310 ~1994
41751191835023838 ~1991
41751551835031038 ~1991
417526572505159439 ~1992
41752979835059598 ~1991
41753639835072798 ~1991
41754059835081198 ~1991
417550132505300799 ~1992
41755979835119598 ~1991
417565932505395599 ~1992
41756731242189039910 ~1994
41757251835145038 ~1991
417579172505475039 ~1992
41759233100222159310 ~1993
41759339835186798 ~1991
41759351835187038 ~1991
41760443835208878 ~1991
41760671835213438 ~1991
41760791835215838 ~1991
417610812505664879 ~1992
417613612505681679 ~1992
Exponent Prime Factor Digits Year
41761451835229038 ~1991
41761679835233598 ~1991
417637793341102339 ~1992
41763983835279678 ~1991
417640572505843439 ~1992
41764319835286398 ~1991
41764559835291198 ~1991
417647877517661679 ~1993
417648597517674639 ~1993
41765051835301038 ~1991
417652313341218499 ~1992
41765579835311598 ~1991
41766743835334878 ~1991
41767403835348078 ~1991
41767619835352398 ~1991
41767703835354078 ~1991
41768159835363198 ~1991
41768183835363678 ~1991
41768231835364638 ~1991
41768579835371598 ~1991
417689412506136479 ~1992
41769131835382638 ~1991
41769179835383598 ~1991
41769443835388878 ~1991
417696012506176079 ~1992
Exponent Prime Factor Digits Year
41769683835393678 ~1991
41771003835420078 ~1991
41771423835428478 ~1991
41771531835430638 ~1991
41771651835433038 ~1991
41773223835464478 ~1991
417734693341877539 ~1992
41773691835473838 ~1991
41773859835477198 ~1991
417740213341921699 ~1992
41774171835483438 ~1991
41774723835494478 ~1991
41775143835502878 ~1991
41775263835505278 ~1991
41775731835514638 ~1991
41775971835519438 ~1991
41776019835520398 ~1991
417767812506606879 ~1992
41777159835543198 ~1991
41777231835544638 ~1991
417774412506646479 ~1992
41777999835559998 ~1991
41778923835578478 ~1991
41778983835579678 ~1991
41779379835587598 ~1991
Exponent Prime Factor Digits Year
41780003835600078 ~1991
41780423835608478 ~1991
41781343267400595310 ~1994
41782511835650238 ~1991
41782883835657678 ~1991
41782943835658878 ~1991
41783459835669198 ~1991
41784023835680478 ~1991
41784503835690078 ~1991
41784779835695598 ~1991
41785739835714798 ~1991
417858376685733939 ~1993
417869332507215999 ~1992
41787059835741198 ~1991
41787131835742638 ~1991
41787143835742878 ~1991
41787299835745998 ~1991
41787899835757998 ~1991
41787923835758478 ~1991
417879376686069939 ~1993
41788283835765678 ~1991
41788559835771198 ~1991
417886612507319679 ~1992
41788679835773598 ~1991
41788979835779598 ~1991
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