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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
787980383157596076710 ~2000
787994377472796626310 ~2002
787995083157599016710 ~2000
788037311157607462310 ~2000
788046911157609382310 ~2000
788050141472830084710 ~2002
788073263157614652710 ~2000
788089441472853664710 ~2002
788122417472873450310 ~2002
788126819157625363910 ~2000
788128163157625632710 ~2000
788183171157636634310 ~2000
788183603157636720710 ~2000
788210063157642012710 ~2000
788245079157649015910 ~2000
788299943157659988710 ~2000
788302301472981380710 ~2002
788353763157670752710 ~2000
788390333473034199910 ~2002
788402063157680412710 ~2000
788428211157685642310 ~2000
788431103157686220710 ~2000
788447111157689422310 ~2000
788456891157691378310 ~2000
788459183157691836710 ~2000
Exponent Prime Factor Digits Year
788518931157703786310 ~2000
788551019157710203910 ~2000
788558161473134896710 ~2002
788563511157712702310 ~2000
788575691157715138310 ~2000
788579003157715800710 ~2000
788594483157718896710 ~2000
788607719157721543910 ~2000
788644211157728842310 ~2000
788663423157732684710 ~2000
788670139788670139110 ~2002
788671199630936959310 ~2002
788673779157734755910 ~2000
788684339157736867910 ~2000
788693051157738610310 ~2000
788699111157739822310 ~2000
788701103157740220710 ~2000
788715071157743014310 ~2000
7887242412366172723111 ~2003
788738711157747742310 ~2000
788760743157752148710 ~2000
7887899291893095829711 ~2003
788834639157766927910 ~2000
788841181473304708710 ~2002
788868551157773710310 ~2000
Exponent Prime Factor Digits Year
7888838631893321271311 ~2003
788896217631116973710 ~2002
7889190495680217152911 ~2004
7889756175522829319111 ~2004
789006503157801300710 ~2000
78903025130929985839312 ~2006
789087179157817435910 ~2000
789100139157820027910 ~2000
789101039157820207910 ~2000
789117779157823555910 ~2000
7891196331104767486311 ~2003
789128603157825720710 ~2000
789147421473488452710 ~2002
789155459157831091910 ~2000
789170423157834084710 ~2000
789177419157835483910 ~2000
789186977631349581710 ~2002
789199319157839863910 ~2000
789255671157851134310 ~2000
789258479157851695910 ~2000
789276023157855204710 ~2000
789353563789353563110 ~2002
789358799157871759910 ~2000
789361283157872256710 ~2000
789363901473618340710 ~2002
Exponent Prime Factor Digits Year
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
7895665791421219842311 ~2003
7895833031263333284911 ~2003
789602173473761303910 ~2002
789602669631682135310 ~2002
789644783157928956710 ~2000
789674857473804914310 ~2002
789676717473806030310 ~2002
789687611157937522310 ~2000
789739859157947971910 ~2000
789775331157955066310 ~2000
789795563157959112710 ~2000
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25-04-13