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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
715971083143194216710 ~2000
715976887715976887110 ~2002
715985717429591430310 ~2001
715989971143197994310 ~2000
716011883143202376710 ~2000
716019299143203859910 ~2000
716021459143204291910 ~2000
716026163143205232710 ~2000
716036317429621790310 ~2001
716057291143211458310 ~2000
716059763143211952710 ~2000
7160621631861761623911 ~2003
716065583143213116710 ~2000
716097983143219596710 ~2000
716098501429659100710 ~2001
716113571572890856910 ~2002
716204939143240987910 ~2000
7162060091718894421711 ~2003
716214371143242874310 ~2000
7162282971002719615911 ~2002
716238443143247688710 ~2000
716253371143250674310 ~2000
716264303143252860710 ~2000
716372771143274554310 ~2000
716382059143276411910 ~2000
Exponent Prime Factor Digits Year
716386421573109136910 ~2002
7163898112292447395311 ~2003
716400539143280107910 ~2000
716421479143284295910 ~2000
716473301429883980710 ~2001
716479213429887527910 ~2001
716483699143296739910 ~2000
716494703143298940710 ~2000
716496461429897876710 ~2001
716531423143306284710 ~2000
7165341531003147814311 ~2002
716548837429929302310 ~2001
716551271143310254310 ~2000
716552183143310436710 ~2000
716559719143311943910 ~2000
716588291143317658310 ~2000
716589011143317802310 ~2000
716612851716612851110 ~2002
716627963143325592710 ~2000
716661563143332312710 ~2000
716664731143332946310 ~2000
716684723143336944710 ~2000
716694479143338895910 ~2000
716726051143345210310 ~2000
716732519143346503910 ~2000
Exponent Prime Factor Digits Year
716752451143350490310 ~2000
716764883143352976710 ~2000
716785457430071274310 ~2001
716830319143366063910 ~2000
7168317293440792299311 ~2004
716835221430101132710 ~2001
716876291143375258310 ~2000
716893511143378702310 ~2000
716985851143397170310 ~2000
716998823143399764710 ~2000
717039503143407900710 ~2000
717092303143418460710 ~2000
717106697430264018310 ~2001
717107819143421563910 ~2000
717137951143427590310 ~2000
717141983143428396710 ~2000
717172997430303798310 ~2001
717182171143436434310 ~2000
717202991143440598310 ~2000
717214499143442899910 ~2000
717227519143445503910 ~2000
717233063143446612710 ~2000
717248771143449754310 ~2000
717255631717255631110 ~2002
717262957430357774310 ~2001
Exponent Prime Factor Digits Year
717274991143454998310 ~2000
717316163143463232710 ~2000
717325597430395358310 ~2001
717339971143467994310 ~2000
717347003143469400710 ~2000
717349271143469854310 ~2000
717352319143470463910 ~2000
717376823143475364710 ~2000
717401341430440804710 ~2001
717425399143485079910 ~2000
717434363143486872710 ~2000
717435923143487184710 ~2000
717444053430466431910 ~2001
717472859143494571910 ~2000
717481139143496227910 ~2000
717535823143507164710 ~2000
7175380271291568448711 ~2003
717560699143512139910 ~2000
717561913430537147910 ~2001
717575843143515168710 ~2000
7175811591291646086311 ~2003
7175962331578711712711 ~2003
717600677430560406310 ~2001
717601991143520398310 ~2000
717605939143521187910 ~2000
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26-08-30