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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
199730711997307119 ~1990
19973171399463438 ~1988
19973231399464638 ~1988
19973483399469678 ~1988
199735732796300239 ~1990
199735811198414879 ~1989
19973711399474238 ~1988
199741971597935779 ~1989
19974299399485998 ~1988
199748275193455039 ~1991
19975199399503998 ~1988
19975379399507598 ~1988
19975463399509278 ~1988
199760571598084579 ~1989
19976399399527998 ~1988
199765211198591279 ~1989
19976591399531838 ~1988
19976699399533998 ~1988
19976783399535678 ~1988
19977239399544798 ~1988
199777194794652579 ~1991
19977791399555838 ~1988
19978163399563278 ~1988
199781692796943679 ~1990
199783331198699999 ~1989
Exponent Prime Factor Digits Year
199786271997862719 ~1990
19978643399572878 ~1988
19978919399578398 ~1988
19978943399578878 ~1988
199790411198742479 ~1989
19979243399584878 ~1988
19979363399587278 ~1988
199795371198772239 ~1989
199796931198781599 ~1989
19979783399595678 ~1988
199800911998009119 ~1990
19980179399603598 ~1988
19980503399610078 ~1988
19980563399611278 ~1988
199807131198842799 ~1989
19980743399614878 ~1988
19981163399623278 ~1988
19981463399629278 ~1988
19982639399652798 ~1988
199827771598622179 ~1989
19983011399660238 ~1988
19983191399663838 ~1988
19983371399667438 ~1988
19983443399668878 ~1988
19984031399680638 ~1988
Exponent Prime Factor Digits Year
19984319399686398 ~1988
19985051399701038 ~1988
19985243399704878 ~1988
19985711399714238 ~1988
19986359399727198 ~1988
19986383399727678 ~1988
19986503399730078 ~1988
19986731399734638 ~1988
19987091399741838 ~1988
19987283399745678 ~1988
19988099399761998 ~1988
19988291399765838 ~1988
199883211599065699 ~1989
199884111599072899 ~1989
19988519399770398 ~1988
19989071399781438 ~1988
19989239399784798 ~1988
19989503399790078 ~1988
19989839399796798 ~1988
199899731199398399 ~1989
19990031399800638 ~1988
19990163399803278 ~1988
199902411599219299 ~1989
19990391399807838 ~1988
19990499399809998 ~1988
Exponent Prime Factor Digits Year
19990559399811198 ~1988
19990583399811678 ~1988
19990643399812878 ~1988
19990931399818638 ~1988
19992383399847678 ~1988
19992419399848398 ~1988
199928811551447565711 ~1994
199937811599502499 ~1989
19993943399878878 ~1988
19994879399897598 ~1988
199953431999534319 ~1990
19995359399907198 ~1988
199953973199263539 ~1990
19995491399909838 ~1988
19995551399911038 ~1988
19995863399917278 ~1988
199967897998715619 ~1991
19997459399949198 ~1988
19998373107991214310 ~1992
19998479399969598 ~1988
199985211199911279 ~1989
199985331467892322311 ~1994
19998743399974878 ~1988
19999379399987598 ~1988
20000243400004878 ~1988
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