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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.
Exp. Prime Factor Digits Year
9023101541386078 ~1986
90231111624159999 ~1988
9023159721852738 ~1987
9023543180470878 ~1985
9023897721911778 ~1987
90240115955847279 ~1989
90240795233965839 ~1989
90241211443859379 ~1988
9024137541448238 ~1986
9024347721947778 ~1987
9024577541474638 ~1986
9024593541475598 ~1986
90245931263443039
9024667902466718 ~1987
9024679902467918 ~1987
90247031443952499 ~1988
9024731180494638 ~1985
9024863180497278 ~1985
90251099386113379 ~1990
9025319180506398 ~1985
90254411444070579 ~1988
9025477541528638 ~1986
9025613541536798 ~1986
9026063180521278 ~1985
9026077541564638 ~1986
Exp. Prime Factor Digits Year
90261232346791999 ~1988
9026267722101378 ~1987
9026663180533278 ~1985
9026819180536398 ~1985
9026903180538078 ~1985
9027089722167138 ~1987
9027191722175298 ~1987
90274191624935439 ~1988
90274199388515779
9027443180548878 ~1985
90276531263871439 ~1987
9027803180556078 ~1985
9027839180556798 ~1985
9027923180558478 ~1985
9028247722259778 ~1987
9028273541696398 ~1986
9028337541700238 ~1986
9028337722266978
9028381541702878 ~1986
90285017945080899 ~1989
9028871722309698 ~1987
9028919180578398 ~1985
9028931180578638 ~1985
90289692166952579 ~1988
9029093541745598 ~1986
Exp. Prime Factor Digits Year
9029243180584878 ~1985
9029291180585838 ~1985
9029417541765038 ~1986
9029519180590398 ~1985
9029543180590878 ~1985
9029599902959918 ~1987
9029651180593038 ~1985
9029729722378338 ~1987
9029879180597598 ~1985
9030071180601438 ~1985
9030457541827438 ~1986
9030683180613678 ~1985
90307932709237919 ~1988
9030839180616798 ~1985
9030851722468098 ~1987
9031103180622078 ~1985
9031207334154659110 ~1991
9031409722512738 ~1987
90314094876960879
90314111445025779 ~1988
9031727722538178 ~1987
9031787722542978 ~1987
9031901541914078 ~1986
9032099180641998 ~1985
9032761541965678 ~1986
Exp. Prime Factor Digits Year
9033191180663838 ~1985
9033337542000238 ~1987
9033371180667438 ~1985
9033391903339118 ~1987
90333914336027699
9033599180671998 ~1985
90337572710127119 ~1988
9034357542061438 ~1987
90344113613764419 ~1989
9034559180691198 ~1985
9035027722802178 ~1987
9035333542119998 ~1987
9035357722828578 ~1987
9035471722837698 ~1987
9035861542151678 ~1987
90358993795077599 ~1989
9036073542164398 ~1987
9036107722888578 ~1987
90367211445875379 ~1988
90368214337674099 ~1989
9036941542216478 ~1987
9036959180739198 ~1985
90369976325897919 ~1989
90370511626669199 ~1988
9037313542238798 ~1987
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26-03-08