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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
843264731168652946310 ~2001
843291863168658372710 ~2001
843340559168668111910 ~2001
8433634191518054154311 ~2003
843398651168679730310 ~2001
843433141506059884710 ~2002
8434382411349501185711 ~2003
843441779168688355910 ~2001
843457691168691538310 ~2001
843470783168694156710 ~2001
843514439168702887910 ~2001
843555599168711119910 ~2001
843637139168727427910 ~2001
843637397674909917710 ~2002
843651491168730298310 ~2001
843656711168731342310 ~2001
843677771168735554310 ~2001
843697691168739538310 ~2001
843703397674962717710 ~2002
843704639168740927910 ~2001
843716339168743267910 ~2001
843717053506230231910 ~2002
8437474615231234258311 ~2004
843813851168762770310 ~2001
843823283168764656710 ~2001
Exponent Prime Factor Digits Year
843834599168766919910 ~2001
843836291168767258310 ~2001
843855203168771040710 ~2001
843872999168774599910 ~2001
8438875814050660388911 ~2004
843919663843919663110 ~2002
843929171168785834310 ~2001
843938759168787751910 ~2001
843940739168788147910 ~2001
843947939675158351310 ~2002
843967199168793439910 ~2001
843989651168797930310 ~2001
844017143168803428710 ~2001
844018379168803675910 ~2001
844023731168804746310 ~2001
844035821506421492710 ~2002
844038683168807736710 ~2001
844056413506433847910 ~2002
8440624811856937458311 ~2003
844075871168815174310 ~2001
844081103168816220710 ~2001
8440891573376356628111 ~2004
844099043168819808710 ~2001
844116503168823300710 ~2001
844118039168823607910 ~2001
Exponent Prime Factor Digits Year
844127759168825551910 ~2001
844148939168829787910 ~2001
8441522775909065939111 ~2004
844153133506491879910 ~2002
844188731168837746310 ~2001
844192463168838492710 ~2001
844194419168838883910 ~2001
844203779168840755910 ~2001
844237679168847535910 ~2001
844237871168847574310 ~2001
844264643168852928710 ~2001
844274003168854800710 ~2001
844289483168857896710 ~2001
844312019168862403910 ~2001
844343891168868778310 ~2001
84434512919588806992912 ~2006
844395269675516215310 ~2002
844400951168880190310 ~2001
8444050072195453018311 ~2003
844422503168884500710 ~2001
844431761506659056710 ~2002
844440119168888023910 ~2001
8444629032026710967311 ~2003
844468511168893702310 ~2001
844470719168894143910 ~2001
Exponent Prime Factor Digits Year
844491731168898346310 ~2001
844534199168906839910 ~2001
8445510311351281649711 ~2003
844552811168910562310 ~2001
844565159675652127310 ~2002
844646417506787850310 ~2002
8446564693378625876111 ~2004
8446588971182522455911 ~2003
844741057506844634310 ~2002
844765979168953195910 ~2001
844766339168953267910 ~2001
844774883168954976710 ~2001
8447799891182691984711 ~2003
844785737506871442310 ~2002
844792451168958490310 ~2001
844802723168960544710 ~2001
844844771168968954310 ~2001
844861813506917087910 ~2002
844865291168973058310 ~2001
844884503168976900710 ~2001
844887781506932668710 ~2002
844888313506932987910 ~2002
844904279168980855910 ~2001
844910233506946139910 ~2002
844939553506963731910 ~2002
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25-04-13