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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
45041939900838798 ~1991
450427972702567839 ~1992
450431393603451139 ~1992
450431398107765039
45043703900874078 ~1991
450441794504417919 ~1992
45044579900891598 ~1991
45045491900909838 ~1991
45046643900932878 ~1991
45047699900953998 ~1991
45047819900956398 ~1991
45048491900969838 ~1991
45048539900970798 ~1991
450487673603901379 ~1992
450490514504905119 ~1992
45049493135148479110 ~1994
45049859900997198 ~1991
450500812703004879 ~1992
45050231901004638 ~1991
450503812703022879 ~1992
45050591901011838 ~1991
45051059901021198 ~1991
450530177379684184711 ~1998
450555412703332479 ~1992
450566537209064499 ~1993
Exponent Prime Factor Digits Year
45056831901136638 ~1991
450582132703492799 ~1992
45058439901168798 ~1991
450586612703519679 ~1992
450589012703534079 ~1992
450591372703548239 ~1992
45060311901206238 ~1991
45062399901247998 ~1991
45062429216299659310 ~1994
45063671901273438 ~1991
45064823901296478 ~1991
45065771901315438 ~1991
450671998112095839 ~1993
45067619901352398 ~1991
45067679901353598 ~1991
45067859901357198 ~1991
450683332704099999 ~1992
450686096309605279 ~1993
45069119901382398 ~1991
45071051901421038 ~1991
45071231901424638 ~1991
45071399901427998 ~1991
45072143901442878 ~1991
450730193605841539 ~1992
450731573605852579 ~1992
Exponent Prime Factor Digits Year
450737931766892685711 ~1996
45073943901478878 ~1991
45075071901501438 ~1991
45075263901505278 ~1991
45075479901509598 ~1991
45075839901516798 ~1991
45076043901520878 ~1991
45076789243414660710 ~1994
450771437212342899 ~1993
450773772704642639 ~1992
45078443901568878 ~1991
450785693606285539 ~1992
450789473606315779 ~1992
45080291901605838 ~1991
450805012704830079 ~1992
45081923901638478 ~1991
45082451901649038 ~1991
45082931901658638 ~1991
45083411901668238 ~1991
450837412705024479 ~1992
45084443901688878 ~1991
45085511901710238 ~1991
45085979901719598 ~1991
45086287108207088910 ~1993
45086963901739278 ~1991
Exponent Prime Factor Digits Year
450878532705271199 ~1992
45088271901765438 ~1991
45089963901799278 ~1991
45090491901809838 ~1991
45090659901813198 ~1991
450912132705472799 ~1992
450913073607304579 ~1992
45091643901832878 ~1991
45091751901835038 ~1991
45091919901838398 ~1991
45092051901841038 ~1991
450931572705589439 ~1992
45093791901875838 ~1991
45094019901880398 ~1991
45094331901886638 ~1991
45095423901908478 ~1991
45095819901916398 ~1991
45096539901930798 ~1991
45096983901939678 ~1991
45097103901942078 ~1991
45097259901945198 ~1991
450979732705878399 ~1992
450980412705882479 ~1992
45098759901975198 ~1991
45100859902017198 ~1991
2090
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25-11-02