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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
789170423157834084710 ~2000
789177419157835483910 ~2000
789186977631349581710 ~2002
789199319157839863910 ~2000
789255671157851134310 ~2000
789258479157851695910 ~2000
789276023157855204710 ~2000
789353563789353563110 ~2002
789358799157871759910 ~2000
789361283157872256710 ~2000
789363901473618340710 ~2002
789366059157873211910 ~2000
789380759157876151910 ~2000
789386651157877330310 ~2000
7893902635841487946311 ~2004
7893931071420907592711 ~2003
789405361473643216710 ~2002
789461009631568807310 ~2002
789470243157894048710 ~2000
7894708791421047582311 ~2003
789473411157894682310 ~2000
789492551631594040910 ~2002
789494873473696923910 ~2002
789528851157905770310 ~2000
789552611157910522310 ~2000
Exponent Prime Factor Digits Year
7895665791421219842311 ~2003
7895833031263333284911 ~2003
789602173473761303910 ~2002
789602669631682135310 ~2002
789644783157928956710 ~2000
789674857473804914310 ~2002
789676717473806030310 ~2002
789687611157937522310 ~2000
789739859157947971910 ~2000
789775331157955066310 ~2000
789795563157959112710 ~2000
789834119157966823910 ~2000
789834719157966943910 ~2000
789860471157972094310 ~2000
789869219157973843910 ~2000
789896257473937754310 ~2002
789905807631924645710 ~2002
7899119817583155017711 ~2005
789912317473947390310 ~2002
789932303157986460710 ~2000
789933563157986712710 ~2000
7899437512053853752711 ~2003
789963491157992698310 ~2000
789978911157995782310 ~2000
790055099158011019910 ~2000
Exponent Prime Factor Digits Year
790082017474049210310 ~2002
790096799158019359910 ~2000
790119923158023984710 ~2000
790123391158024678310 ~2000
790133849632107079310 ~2002
790140443158028088710 ~2000
790154639158030927910 ~2000
790161503158032300710 ~2000
790179059158035811910 ~2000
790189931158037986310 ~2000
790191191158038238310 ~2000
790195823158039164710 ~2000
790209911158041982310 ~2000
790214879158042975910 ~2000
790246031158049206310 ~2000
790264379158052875910 ~2000
790270139158054027910 ~2000
790270199158054039910 ~2000
790326421474195852710 ~2002
790329539158065907910 ~2000
790338817474203290310 ~2002
790352939158070587910 ~2000
790363943158072788710 ~2000
790380179158076035910 ~2000
790398431158079686310 ~2000
Exponent Prime Factor Digits Year
790405087790405087110 ~2002
790435619158087123910 ~2000
790441633474264979910 ~2002
790474259158094851910 ~2000
790518719158103743910 ~2000
790541723158108344710 ~2000
7905587893162235156111 ~2004
790579631158115926310 ~2000
790585571158117114310 ~2000
790600541474360324710 ~2002
790615643158123128710 ~2000
790622603158124520710 ~2000
790641503158128300710 ~2000
7906558932371967679111 ~2003
790674701474404820710 ~2002
790728083158145616710 ~2000
790735921474441552710 ~2002
790741517474444910310 ~2002
790750463158150092710 ~2000
790758071158151614310 ~2000
790803281474481968710 ~2002
790814723158162944710 ~2000
790835261474501156710 ~2002
7908635171898072440911 ~2003
790873211158174642310 ~2000
3387
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25-05-04