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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
354881332129287999 ~1991
354881332235752379111
35488451709769038 ~1990
35489411709788238 ~1990
354896332129377999 ~1991
35490137134862520710 ~1993
354909076388363279 ~1992
354912892839303139 ~1991
35491837141967348110 ~1993
354935833549358319 ~1992
35493863709877278 ~1990
35493911709878238 ~1990
354939612129637679 ~1991
354944212129665279 ~1991
354951112839608899 ~1991
354952612129715679 ~1991
354958273549582719 ~1992
35496143709922878 ~1990
35496743709934878 ~1990
35497391709947838 ~1990
35499083709981678 ~1990
354991734969884239 ~1992
355003072840024579 ~1991
35502419710048398 ~1990
355031292953860332911 ~1996
Exponent Prime Factor Digits Year
35503619710072398 ~1990
35503631710072638 ~1990
35503703710074078 ~1990
35504603710092078 ~1990
35504723710094478 ~1990
35505923710118478 ~1990
35506379710127598 ~1990
35506739710134798 ~1990
35507051710141038 ~1990
35507123710142478 ~1990
355082812130496879 ~1991
35509763710195278 ~1990
35510231710204638 ~1990
35510483710209678 ~1990
35512291376430284710 ~1994
355127212130763279 ~1991
35515283710305678 ~1990
35515559710311198 ~1990
355156612130939679 ~1991
35516303710326078 ~1990
355164972130989839 ~1991
35516951710339038 ~1990
35517563710351278 ~1990
35518943710378878 ~1990
35519651710393038 ~1990
Exponent Prime Factor Digits Year
35520071710401438 ~1990
355209592841676739 ~1991
35521523710430478 ~1990
35522891710457838 ~1990
35523503710470078 ~1990
355238476394292479 ~1992
35524337106573011110 ~1993
35524343710486878 ~1990
35525471710509438 ~1990
35525771710515438 ~1990
35526563710531278 ~1990
35526671710533438 ~1990
35527259710545198 ~1990
35527391710547838 ~1990
35527703710554078 ~1990
35528159710563198 ~1990
35528243710564878 ~1990
35531291710625838 ~1990
355318275685092339 ~1992
35532323710646478 ~1990
35532599710651998 ~1990
35532719710654398 ~1990
35532863710657278 ~1990
355331172131987039 ~1991
35533343710666878 ~1990
Exponent Prime Factor Digits Year
35534363710687278 ~1990
35534783710695678 ~1990
355351734974924239 ~1992
355354072842832579 ~1991
35535683113714185710 ~1993
35536211710724238 ~1990
355369812132218879 ~1991
35537171710743438 ~1990
355374735685995699 ~1992
355376392843011139 ~1991
355378672843029379 ~1991
35537951113721443310 ~1993
35538131710762638 ~1990
355391593553915919 ~1992
355402492843219939 ~1991
355405212132431279 ~1991
35541683710833678 ~1990
35541949106625847110 ~1993
355421812132530879 ~1991
35542679710853598 ~1990
355431975686911539 ~1992
35543831710876638 ~1990
35544143710882878 ~1990
35544479710889598 ~1990
355447012132682079 ~1991
1882
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25-07-08