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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
256340874614135679 ~1991
25634123512682478 ~1989
25634639512692798 ~1989
25634663512693278 ~1989
25635059512701198 ~1989
256353776152490499 ~1991
256353971538123839 ~1990
25635479512709598 ~1989
25635671512713438 ~1989
25636199512723998 ~1989
256362531538175199 ~1990
25636343512726878 ~1989
25636463512729278 ~1989
25636619512732398 ~1989
25636811512736238 ~1989
25637831512756638 ~1989
25638311512766238 ~1989
25638551512771038 ~1989
256397872051182979 ~1990
25639931512798638 ~1989
25639979512799598 ~1989
25640399512807998 ~1989
256406771538440639 ~1990
256410472051283779 ~1990
25641419512828398 ~1989
Exponent Prime Factor Digits Year
25641683512833678 ~1989
25641911512838238 ~1989
256419712051357699 ~1990
25642277143596751310 ~1992
25642439512848798 ~1989
25642499512849998 ~1989
25642811512856238 ~1989
25643291512865838 ~1989
25643543512870878 ~1989
25643771512875438 ~1989
25643869138476892710 ~1992
25644263512885278 ~1989
25644299512885998 ~1989
256443376154640899 ~1991
25644431512888638 ~1989
25644779512895598 ~1989
256448411538690479 ~1990
25646363369307627310 ~1993
25646843512936878 ~1989
25647659512953198 ~1989
256482011538892079 ~1990
25649159512983198 ~1989
256496936155926339 ~1991
25650539513010798 ~1989
256506411539038479 ~1990
Exponent Prime Factor Digits Year
256507011539042079 ~1990
25651211513024238 ~1989
25651259513025198 ~1989
25651343513026878 ~1989
25651943513038878 ~1989
25651991513039838 ~1989
25652111513042238 ~1989
256521112052168899
25652339513046798 ~1989
25652663513053278 ~1989
256528211539169279 ~1990
25653359513067198 ~1989
25654619513092398 ~1989
25654679513093598 ~1989
25654823513096478 ~1989
256549331539295999 ~1990
25654943513098878 ~1989
256552514104840179 ~1991
25655699513113998 ~1989
25655783513115678 ~1989
25655939513118798 ~1989
25655951513119038 ~1989
25656083513121678 ~1989
25656131513122638 ~1989
256563312565633119 ~1991
Exponent Prime Factor Digits Year
25656443513128878 ~1989
25656671513133438 ~1989
25656899513137998 ~1989
25657031513140638 ~1989
256570611539423679 ~1990
25657211513144238 ~1989
25657319513146398 ~1989
25658137348950663310 ~1993
256581531539489199 ~1990
25658183513163678 ~1989
25658459513169198 ~1989
25659083513181678 ~1989
25659251513185038 ~1989
25659503513190078 ~1989
25659839513196798 ~1989
25660091513201838 ~1989
25660319513206398 ~1989
256605412052843299 ~1990
256610992052887939 ~1990
25661243513224878 ~1989
25661651513233038 ~1989
25661771513235438 ~1989
256618491868182607311 ~1995
25662431513248638 ~1989
25664017384960255110 ~1993
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