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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
54548406768949186068912 ~2006
545503943109100788710 ~1999
545507113327304267910 ~2000
545509963545509963110 ~2001
545524103109104820710 ~1999
545531579109106315910 ~1999
545537831109107566310 ~1999
545554561327332736710 ~2000
545560019109112003910 ~1999
545562119109112423910 ~1999
545562431109112486310 ~1999
545565611436452488910 ~2001
545599757436479805710 ~2001
545612999109122599910 ~1999
545614519982106134310 ~2002
545627783109125556710 ~1999
545640377436512301710 ~2001
545645953327387571910 ~2000
5456642991309594317711 ~2002
545665283109133056710 ~1999
545667803109133560710 ~1999
545717219109143443910 ~1999
545718841327431304710 ~2000
545747771109149554310 ~1999
545793239109158647910 ~1999
Exponent Prime Factor Digits Year
545797943109159588710 ~1999
545833859109166771910 ~1999
545838817327503290310 ~2000
545860739109172147910 ~1999
545876711109175342310 ~1999
545899199109179839910 ~1999
545920139109184027910 ~1999
545933471109186694310 ~1999
545952791109190558310 ~1999
54597229311793001528912 ~2004
545992679109198535910 ~1999
546000263109200052710 ~1999
546005891109201178310 ~1999
546009263109201852710 ~1999
546010901327606540710 ~2000
546011951109202390310 ~1999
546066113327639667910 ~2000
546117419109223483910 ~1999
546122579109224515910 ~1999
546125267436900213710 ~2001
546129191109225838310 ~1999
546207911109241582310 ~1999
546210239109242047910 ~1999
546213839436971071310 ~2001
546226211109245242310 ~1999
Exponent Prime Factor Digits Year
546233339109246667910 ~1999
546254903109250980710 ~1999
546273779109254755910 ~1999
546276719109255343910 ~1999
546291197764807675910 ~2001
5462954573059254559311 ~2003
546299813327779887910 ~2000
546300791109260158310 ~1999
546306191109261238310 ~1999
546306899109261379910 ~1999
5463074698303873528911 ~2004
546310703109262140710 ~1999
546312803109262560710 ~1999
546338173327802903910 ~2000
546346441327807864710 ~2000
546356801327814080710 ~2000
546362759109272551910 ~1999
546389461327833676710 ~2000
546428243109285648710 ~1999
546443399109288679910 ~1999
546447743109289548710 ~1999
5464478291202185223911 ~2002
546453959109290791910 ~1999
546482039109296407910 ~1999
546492623109298524710 ~1999
Exponent Prime Factor Digits Year
546494831109298966310 ~1999
546499931109299986310 ~1999
546541871109308374310 ~1999
546542861327925716710 ~2000
546542879109308575910 ~1999
546550079109310015910 ~1999
546552491109310498310 ~1999
546565319109313063910 ~1999
546583319109316663910 ~1999
546592523109318504710 ~1999
546611777437289421710 ~2001
546618599109323719910 ~1999
546641351109328270310 ~1999
546650183109330036710 ~1999
546654191109330838310 ~1999
546693607546693607110 ~2001
546704159109340831910 ~1999
546705989765388384710 ~2001
546711577328026946310 ~2000
546733619109346723910 ~1999
546738443109347688710 ~1999
546739163109347832710 ~1999
546753811874806097710 ~2001
546760157765464219910 ~2001
546771419109354283910 ~1999
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25-07-08