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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
546772619109354523910 ~1999
5467895994374316792111 ~2003
546799387546799387110 ~2001
546799817328079890310 ~2000
546806951109361390310 ~1999
546834181328100508710 ~2000
546843971109368794310 ~1999
546897119109379423910 ~1999
546900973328140583910 ~2000
546902171437521736910 ~2001
546917411109383482310 ~1999
546920639109384127910 ~1999
546937871109387574310 ~1999
546940139109388027910 ~1999
546946223109389244710 ~1999
546976019109395203910 ~1999
546998897328199338310 ~2000
547012463109402492710 ~1999
547110359109422071910 ~1999
547133351109426670310 ~1999
547149611109429922310 ~1999
547151603109430320710 ~1999
547162079109432415910 ~1999
547174679109434935910 ~1999
547206743109441348710 ~1999
Exponent Prime Factor Digits Year
547214399109442879910 ~1999
547219853328331911910 ~2000
547226819109445363910 ~1999
547229723109445944710 ~1999
547281547875650475310 ~2001
547352159109470431910 ~1999
547354877328412926310 ~2000
547384421328430652710 ~2000
547396823109479364710 ~1999
547404359109480871910 ~1999
547454003109490800710 ~1999
547469119547469119110 ~2001
547482191109496438310 ~1999
547509731109501946310 ~1999
547512377328507426310 ~2000
547523831109504766310 ~1999
547553537328532122310 ~2000
547557971109511594310 ~1999
547582513328549507910 ~2000
547588523109517704710 ~1999
547609417328565650310 ~2000
547614299109522859910 ~1999
547662443109532488710 ~1999
547679603109535920710 ~1999
547697879438158303310 ~2001
Exponent Prime Factor Digits Year
547718999109543799910 ~1999
547724603109544920710 ~1999
547732343109546468710 ~1999
547735193328641115910 ~2000
5477374991314569997711 ~2002
547741471547741471110 ~2001
547752809438202247310 ~2001
547774651985994371910 ~2002
547791551109558310310 ~1999
547793891109558778310 ~1999
547809371438247496910 ~2001
547828439109565687910 ~1999
547831157328698694310 ~2000
547831283109566256710 ~1999
547855811109571162310 ~1999
547860251109572050310 ~1999
547865459109573091910 ~1999
547873619109574723910 ~1999
547899623109579924710 ~1999
547907183109581436710 ~1999
547908743109581748710 ~1999
547945637438356509710 ~2001
547954019109590803910 ~1999
547954331109590866310 ~1999
547970723109594144710 ~1999
Exponent Prime Factor Digits Year
547974263109594852710 ~1999
547982041328789224710 ~2000
547984141328790484710 ~2000
5479881971315171672911 ~2002
547991519109598303910 ~1999
547999271109599854310 ~1999
548020673328812403910 ~2000
548032403109606480710 ~1999
548037071109607414310 ~1999
548039951438431960910 ~2001
548068039986522470310 ~2002
548072411109614482310 ~1999
548078159109615631910 ~1999
548120351109624070310 ~1999
548139023109627804710 ~1999
548154599109630919910 ~1999
548163503109632700710 ~1999
548170079109634015910 ~1999
548179903548179903110 ~2001
548183033767456246310 ~2001
548187331548187331110 ~2001
548210639109642127910 ~1999
548220401438576320910 ~2001
548221099548221099110 ~2001
548227439438581951310 ~2001
3305
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25-07-08