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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
539543783107908756710 ~1999
5395505631726561801711 ~2002
539556911107911382310 ~1999
539561413323736847910 ~2000
539568791107913758310 ~1999
539573351107914670310 ~1999
539573459107914691910 ~1999
539579851539579851110 ~2001
539598659107919731910 ~1999
539599111971278399910 ~2002
539600783107920156710 ~1999
539602139107920427910 ~1999
539607119107921423910 ~1999
539614139107922827910 ~1999
539627663107925532710 ~1999
5396337797770726417711 ~2004
539639819107927963910 ~1999
5396481472698240735111 ~2003
539663899539663899110 ~2001
539665823107933164710 ~1999
539668139431734511310 ~2001
5396736832266629468711 ~2002
539678663107935732710 ~1999
539681819107936363910 ~1999
539688839107937767910 ~1999
Exponent Prime Factor Digits Year
539706697323824018310 ~2000
539724851107944970310 ~1999
539740559107948111910 ~1999
539748953323849371910 ~2000
5397713475181804931311 ~2003
539796539107959307910 ~1999
539800873323880523910 ~2000
539805923107961184710 ~1999
539823299107964659910 ~1999
539834819107966963910 ~1999
539860219539860219110 ~2001
539869199107973839910 ~1999
539887417323932450310 ~2000
539918279107983655910 ~1999
539946419107989283910 ~1999
539966831107993366310 ~1999
540016199108003239910 ~1999
540021263108004252710 ~1999
540032483108006496710 ~1999
540070211108014042310 ~1999
540078503108015700710 ~1999
540081863108016372710 ~1999
540083471108016694310 ~1999
540090701324054420710 ~2000
540094979108018995910 ~1999
Exponent Prime Factor Digits Year
540101063108020212710 ~1999
540108599108021719910 ~1999
540114551108022910310 ~1999
540117449756164428710 ~2001
540150731108030146310 ~1999
540162971108032594310 ~1999
540170759108034151910 ~1999
540181357864290171310 ~2001
540182381324109428710 ~2000
540187463108037492710 ~1999
540207337324124402310 ~2000
540215411108043082310 ~1999
540228803108045760710 ~1999
540245903108049180710 ~1999
540251641324150984710 ~2000
540258083108051616710 ~1999
540266669432213335310 ~2001
540266879108053375910 ~1999
540268259108053651910 ~1999
540302099108060419910 ~1999
5403210491188706307911 ~2002
540352931108070586310 ~1999
540353399108070679910 ~1999
540359783108071956710 ~1999
540381659108076331910 ~1999
Exponent Prime Factor Digits Year
540386603108077320710 ~1999
5403901311405014340711 ~2002
5403932238322055634311 ~2004
540416377324249826310 ~2000
540429443108085888710 ~1999
540439811108087962310 ~1999
540459511540459511110 ~2001
540485801432388640910 ~2001
540494231108098846310 ~1999
540502379108100475910 ~1999
540502799108100559910 ~1999
540509639108101927910 ~1999
540513553864821684910 ~2001
540516863108103372710 ~1999
540525371108105074310 ~1999
540528077432422461710 ~2001
540530423108106084710 ~1999
540538721324323232710 ~2000
540539171108107834310 ~1999
540543299108108659910 ~1999
540551579108110315910 ~1999
540553259108110651910 ~1999
540553633864885812910 ~2001
540554101324332460710 ~2000
540555503108111100710 ~1999
3299
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25-07-08