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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
739566083147913216710 ~2000
739578491147915698310 ~2000
739587083147917416710 ~2000
739600703147920140710 ~2000
739607461443764476710 ~2001
739611623147922324710 ~2000
739620659147924131910 ~2000
739627061443776236710 ~2001
739627961443776776710 ~2001
739630799147926159910 ~2000
739668719147933743910 ~2000
739673183147934636710 ~2000
739700543147940108710 ~2000
7397083731035591722311 ~2002
739723163147944632710 ~2000
739729169591783335310 ~2002
739749599147949919910 ~2000
739789439147957887910 ~2000
739793423147958684710 ~2000
739803191147960638310 ~2000
739835171147967034310 ~2000
739839931739839931110 ~2002
739840691147968138310 ~2000
739850759147970151910 ~2000
739858811147971762310 ~2000
Exponent Prime Factor Digits Year
739859017443915410310 ~2001
739887977443932786310 ~2001
739932911147986582310 ~2000
739982423147996484710 ~2000
739984951739984951110 ~2002
740004539148000907910 ~2000
740026223148005244710 ~2000
740033939148006787910 ~2000
740038199148007639910 ~2000
740039897592031917710 ~2002
740050373444030223910 ~2001
740058023148011604710 ~2000
740084123148016824710 ~2000
740106179148021235910 ~2000
740108543148021708710 ~2000
7401178131036164938311 ~2002
740119799148023959910 ~2000
7401269711332228547911 ~2003
740131919148026383910 ~2000
740137019148027403910 ~2000
740144159148028831910 ~2000
740149331148029866310 ~2000
740153651148030730310 ~2000
740169011148033802310 ~2000
740193743148038748710 ~2000
Exponent Prime Factor Digits Year
740207957444124774310 ~2001
740211431148042286310 ~2000
740276711148055342310 ~2000
740277361444166416710 ~2001
740289899148057979910 ~2000
740299583148059916710 ~2000
740373971148074794310 ~2000
7404521231184723396911 ~2003
740494103148098820710 ~2000
7405021872962008748111 ~2003
740547611148109522310 ~2000
740602199148120439910 ~2000
740614799148122959910 ~2000
740619311148123862310 ~2000
740652383148130476710 ~2000
740662733444397639910 ~2001
740667359148133471910 ~2000
740708723148141744710 ~2000
740743631148148726310 ~2000
740755517444453310310 ~2001
740755573444453343910 ~2001
740762303148152460710 ~2000
740765783148153156710 ~2000
740779421444467652710 ~2001
740798197444478918310 ~2001
Exponent Prime Factor Digits Year
740811443148162288710 ~2000
740817263148163452710 ~2000
740833823148166764710 ~2000
740834123148166824710 ~2000
740857079148171415910 ~2000
7408606431778065543311 ~2003
740869091148173818310 ~2000
740906219148181243910 ~2000
740911679148182335910 ~2000
740914763148182952710 ~2000
740928719148185743910 ~2000
740947079148189415910 ~2000
740971859592777487310 ~2002
740972339148194467910 ~2000
740977031148195406310 ~2000
740978963148195792710 ~2000
7410155514890702636711 ~2004
7410164891630236275911 ~2003
741044519148208903910 ~2000
741044663148208932710 ~2000
7410505492815992086311 ~2003
741056777444634066310 ~2001
741075299148215059910 ~2000
7410835931630383904711 ~2003
741090811741090811110 ~2002
3749
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26-03-29