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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
738968171591174536910 ~2002
738973883147794776710 ~2000
738995597591196477710 ~2002
739022231591217784910 ~2002
739063943147812788710 ~2000
739065023147813004710 ~2000
739124411147824882310 ~2000
739126951739126951110 ~2002
739129717443477830310 ~2001
739143371147828674310 ~2000
739170683147834136710 ~2000
739202291147840458310 ~2000
739211303147842260710 ~2000
739222943147844588710 ~2000
739231403147846280710 ~2000
739302059147860411910 ~2000
739322543147864508710 ~2000
739344863147868972710 ~2000
739348391147869678310 ~2000
739349111147869822310 ~2000
739370459147874091910 ~2000
739370711147874142310 ~2000
739391651147878330310 ~2000
739413743147882748710 ~2000
739421957591537565710 ~2002
Exponent Prime Factor Digits Year
739422611147884522310 ~2000
739467731147893546310 ~2000
739468487591574789710 ~2002
739500533443700319910 ~2001
739542983147908596710 ~2000
739566083147913216710 ~2000
739578491147915698310 ~2000
739587083147917416710 ~2000
739600703147920140710 ~2000
739607461443764476710 ~2001
739620659147924131910 ~2000
739627061443776236710 ~2001
739627961443776776710 ~2001
739630799147926159910 ~2000
739668719147933743910 ~2000
739673183147934636710 ~2000
739723163147944632710 ~2000
739729169591783335310 ~2002
739749599147949919910 ~2000
739803191147960638310 ~2000
739835171147967034310 ~2000
739839931739839931110 ~2002
739840691147968138310 ~2000
739850759147970151910 ~2000
739858811147971762310 ~2000
Exponent Prime Factor Digits Year
739859017443915410310 ~2001
739887977443932786310 ~2001
739960811591968648910 ~2002
739982423147996484710 ~2000
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
Exponent Prime Factor Digits Year
740289899148057979910 ~2000
740373971148074794310 ~2000
7404521231184723396911 ~2002
740494103148098820710 ~2000
7405021872962008748111 ~2003
740547611148109522310 ~2000
740602199148120439910 ~2000
740614799148122959910 ~2000
740619311148123862310 ~2000
740662733444397639910 ~2001
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
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25-04-13