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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
740004539148000907910 ~2000
740033939148006787910 ~2000
740038199148007639910 ~2000
740039897592031917710 ~2002
740050373444030223910 ~2001
740058023148011604710 ~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
740211431148042286310 ~2000
740276711148055342310 ~2000
740277361444166416710 ~2001
740289899148057979910 ~2000
740299583148059916710 ~2000
740373971148074794310 ~2000
7404521231184723396911 ~2002
Exponent Prime Factor Digits Year
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
740779421444467652710 ~2001
740817263148163452710 ~2000
740833823148166764710 ~2000
740834123148166824710 ~2000
740857079148171415910 ~2000
7408606431778065543311 ~2003
740869091148173818310 ~2000
740906219148181243910 ~2000
740911679148182335910 ~2000
740914763148182952710 ~2000
740928719148185743910 ~2000
Exponent Prime Factor Digits Year
740947079148189415910 ~2000
740971859592777487310 ~2002
740972339148194467910 ~2000
740977031148195406310 ~2000
740978963148195792710 ~2000
7410155514890702636711 ~2004
7410164891630236275911 ~2003
741044519148208903910 ~2000
741044663148208932710 ~2000
7410505492815992086311 ~2003
741056777444634066310 ~2001
741090811741090811110 ~2002
741107777444664666310 ~2001
741129997444677998310 ~2001
741154021444692412710 ~2001
741155803741155803110 ~2002
741163777444698266310 ~2001
741164051148232810310 ~2000
7411642394743451129711 ~2004
741234863148246972710 ~2000
741250271148250054310 ~2000
741266159148253231910 ~2000
741282071148256414310 ~2000
741282097444769258310 ~2001
7412912931779099103311 ~2003
Exponent Prime Factor Digits Year
741303863148260772710 ~2000
741357389593085911310 ~2002
741365593444819355910 ~2001
741386699148277339910 ~2000
741407123148281424710 ~2000
7414380531779451327311 ~2003
741457813444874687910 ~2001
741481319148296263910 ~2000
741481991148296398310 ~2000
741487139148297427910 ~2000
7415924692373095900911 ~2003
741614411148322882310 ~2000
741625583148325116710 ~2000
741630359148326071910 ~2000
741631433444978859910 ~2001
741667061593333648910 ~2002
741684791148336958310 ~2000
741698291148339658310 ~2000
741713183148342636710 ~2000
741714023148342804710 ~2000
741729899148345979910 ~2000
741737891148347578310 ~2000
741741971148348394310 ~2000
741744791148348958310 ~2000
7418105291780345269711 ~2003
3436
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25-07-08