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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 Dig. Year
79853467311597069346311 ~2008
798579868312777277892912 ~2011
79861271511597225430311 ~2008
79861463511597229270311 ~2008
79865389934791923395911 ~2010
79868390991597367819911 ~2008
79873683591597473671911 ~2008
79874487231597489744711 ~2008
79875066476390005317711 ~2010
79878400734792704043911 ~2010
79880159696390412775311 ~2010
79880401911597608038311 ~2008
79881936591597638731911 ~2008
79883276631597665532711 ~2008
79886226197988622619111 ~2010
79886756214793205372711 ~2010
79887019911597740398311 ~2008
79892762991597855259911 ~2008
798939061312783024980912 ~2011
79895730711597914614311 ~2008
79896918231597938364711 ~2008
79902855296392228423311 ~2010
799075834123972275023112 ~2011
79908667076392693365711 ~2010
79912108791598242175911 ~2008
Exponent Prime Factor Dig. Year
79912635374794758122311 ~2010
79913518431598270368711 ~2008
79913626196393090095311 ~2010
79913887311598277746311 ~2008
799145852938359000939312 ~2012
79915878231598317564711 ~2008
79916229111598324582311 ~2008
79916632877991663287111 ~2010
79919258574795155514311 ~2010
79920942677992094267111 ~2010
79922476911598449538311 ~2008
79925295111598505902311 ~2008
799274168943160805120712 ~2012
79931121111598622422311 ~2008
79936318431598726368711 ~2008
79939251711598785034311 ~2008
79941655191598833103911 ~2008
79946624511598932490311 ~2008
799576193311194066706312 ~2010
79959889911599197798311 ~2008
79962204831599244096711 ~2008
79966103876397288309711 ~2010
79966144196397291535311 ~2010
79966994214798019652711 ~2010
79972889631599457792711 ~2008
Exponent Prime Factor Dig. Year
79973387991599467759911 ~2008
79983509631599670192711 ~2008
79989337791599786755911 ~2008
79989668511599793370311 ~2008
79990406534799424391911 ~2010
79995386631599907732711 ~2008
80000081991600001639911 ~2008
80000499711600009994311 ~2008
800007879712800126075312 ~2011
80001093111600021862311 ~2008
80001964934800117895911 ~2010
80002532031600050640711 ~2008
800052660124001579803112 ~2011
80009277711600185554311 ~2008
800177037719204248904912 ~2011
800207098157614911063312 ~2012
80021526591600430531911 ~2008
80024320431600486408711 ~2008
80031825414801909524711 ~2010
80033215976402657277711 ~2010
80043294231600865884711 ~2008
80045697111600913942311 ~2008
80046335511600926710311 ~2008
80047083111600941662311 ~2008
80047400391600948007911 ~2008
Exponent Prime Factor Dig. Year
800489048344827386704912 ~2012
80050823391601016467911 ~2008
80053287591601065751911 ~2008
80057413431601148268711 ~2008
80057806191601156123911 ~2008
80062007396404960591311 ~2010
80064253791601285075911 ~2008
80066180031601323600711 ~2008
80066509791601330195911 ~2008
80067261374804035682311 ~2010
80076564831601531296711 ~2008
80077659711601553194311 ~2008
80078483631601569672711 ~2008
80081733111601634662311 ~2008
80086553216406924256911 ~2010
80090594534805435671911 ~2010
80099377911601987558311 ~2008
801026830312816429284912 ~2011
80103570111602071402311 ~2008
801043111319225034671312 ~2011
80122211031602444220711 ~2008
80125707711602514154311 ~2008
80126214711602524294311 ~2008
80126486391602529727911 ~2008
80128723911602574478311 ~2008
4501
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25-11-02