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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
811948663811948663110 ~2002
811973951162394790310 ~2001
811983671162396734310 ~2001
811997363162399472710 ~2001
812001161487200696710 ~2002
812037059162407411910 ~2001
812057483162411496710 ~2001
812072771162414554310 ~2001
812102099162420419910 ~2001
812109971162421994310 ~2001
812170559649736447310 ~2002
812195771162439154310 ~2001
812206777487324066310 ~2002
812218943162443788710 ~2001
812231911812231911110 ~2002
8122460691949390565711 ~2003
812261231162452246310 ~2001
812302391162460478310 ~2001
812304071162460814310 ~2001
812309279162461855910 ~2001
812316803162463360710 ~2001
812328001487396800710 ~2002
812350439162470087910 ~2001
812380421487428252710 ~2002
812389997487433998310 ~2002
Exponent Prime Factor Digits Year
812399839812399839110 ~2002
812444377487466626310 ~2002
812449523162489904710 ~2001
812457323162491464710 ~2001
812468219649974575310 ~2002
812527043162505408710 ~2001
812528677487517206310 ~2002
812541143162508228710 ~2001
812580253487548151910 ~2002
812583419162516683910 ~2001
812600843162520168710 ~2001
812613551162522710310 ~2001
812654159162530831910 ~2001
812655377487593226310 ~2002
812668079162533615910 ~2001
812670191162534038310 ~2001
8126869134388509330311 ~2004
812688983162537796710 ~2001
812694119162538823910 ~2001
812725559162545111910 ~2001
812789947812789947110 ~2002
812809717487685830310 ~2002
812832239162566447910 ~2001
812857739162571547910 ~2001
812863409650290727310 ~2002
Exponent Prime Factor Digits Year
812889251162577850310 ~2001
812931923162586384710 ~2001
812946059650356847310 ~2002
812972879162594575910 ~2001
812996003162599200710 ~2001
813033971162606794310 ~2001
813051719162610343910 ~2001
813070463162614092710 ~2001
813113117487867870310 ~2002
813128777487877266310 ~2002
813174023162634804710 ~2001
813190991162638198310 ~2001
8131979235855025045711 ~2004
813209429650567543310 ~2002
813240383162648076710 ~2001
813246779162649355910 ~2001
813264143162652828710 ~2001
813345479162669095910 ~2001
813356639162671327910 ~2001
813363671162672734310 ~2001
813373283162674656710 ~2001
813380279162676055910 ~2001
813394781650715824910 ~2002
813397813488038687910 ~2002
813397919162679583910 ~2001
Exponent Prime Factor Digits Year
813411877488047126310 ~2002
81341196111062402669712 ~2005
813414323162682864710 ~2001
813438643813438643110 ~2002
813476591162695318310 ~2001
813477491162695498310 ~2001
813479063162695812710 ~2001
813490763162698152710 ~2001
813504683162700936710 ~2001
813549563162709912710 ~2001
813564431162712886310 ~2001
813567323162713464710 ~2001
813592751162718550310 ~2001
813624353488174611910 ~2002
813630997488178598310 ~2002
813635261650908208910 ~2002
813668279162733655910 ~2001
813673559162734711910 ~2001
813676859162735371910 ~2001
813683993488210395910 ~2002
813686339162737267910 ~2001
813693911162738782310 ~2001
813713903162742780710 ~2001
8137317291139224420711 ~2003
813765881651012704910 ~2002
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