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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
29107055571746423334311 ~2006
2910802343582160468710 ~2005
2910987263582197452710 ~2005
29110601331746636079911 ~2006
29112404211746744252711 ~2006
291128701348327364415912 ~2010
29114177571746850654311 ~2006
2911612019582322403910 ~2005
2911657163582331432710 ~2005
29116855072329348405711 ~2006
2911854551582370910310 ~2005
29121030914659364945711 ~2007
29121356234659416996911 ~2007
2912206919582441383910 ~2005
29123407632912340763111 ~2007
2912400839582480167910 ~2005
2912428511582485702310 ~2005
2912482043582496408710 ~2005
29125105818737531743111 ~2008
2912627279582525455910 ~2005
29126893639903143834311 ~2008
29126896731747613803911 ~2006
2912693183582538636710 ~2005
29128086171747685170311 ~2006
2912946551582589310310 ~2005
Exponent Prime Factor Digits Year
2913122171582624434310 ~2005
2913135371582627074310 ~2005
2913168539582633707910 ~2005
2913174263582634852710 ~2005
2913229271582645854310 ~2005
2913251963582650392710 ~2005
2913403631582680726310 ~2005
2913466883582693376710 ~2005
2913533411582706682310 ~2005
2913585299582717059910 ~2005
2913758411582751682310 ~2005
29138645171748318710311 ~2006
2913908339582781667910 ~2005
2913966563582793312710 ~2005
29139890331748393419911 ~2006
29140375131748422507911 ~2006
2914063703582812740710 ~2005
2914120103582824020710 ~2005
2914176131582835226310 ~2005
29142958371748577502311 ~2006
29143274331748596459911 ~2006
2914357679582871535910 ~2005
29144172172331533773711 ~2006
2914513799582902759910 ~2005
2914783211582956642310 ~2005
Exponent Prime Factor Digits Year
2914887119582977423910 ~2005
2915096759583019351910 ~2005
29151846074664295371311 ~2007
29152691212332215296911 ~2006
29152731971749163918311 ~2006
2915290739583058147910 ~2005
29153574411749214464711 ~2006
2915462051583092410310 ~2005
2915506019583101203910 ~2005
2915539883583107976710 ~2005
2915671679583134335910 ~2005
29157205012332576400911 ~2006
29157207296997729749711 ~2008
2915746331583149266310 ~2005
29158387011749503220711 ~2006
2915896811583179362310 ~2005
2915914139583182827910 ~2005
2915932703583186540710 ~2005
29161026411749661584711 ~2006
29161207317581913900711 ~2008
29161546492332923719311 ~2006
2916317483583263496710 ~2005
29163539174666166267311 ~2007
29164054611749843276711 ~2006
2916483539583296707910 ~2005
Exponent Prime Factor Digits Year
2916496763583299352710 ~2005
2916749663583349932710 ~2005
2916867839583373567910 ~2005
29168739411750124364711 ~2006
2916877163583375432710 ~2005
2916883751583376750310 ~2005
29169224395250460390311 ~2007
2917118411583423682310 ~2005
2917157783583431556710 ~2005
2917158983583431796710 ~2005
2917193231583438646310 ~2005
2917352183583470436710 ~2005
2917380143583476028710 ~2005
2917431623583486324710 ~2005
291744169914003720155312 ~2008
2917938323583587664710 ~2005
2917975451583595090310 ~2005
2918012411583602482310 ~2005
29181087731750865263911 ~2006
291821411914007427771312 ~2008
29182714011750962840711 ~2006
29184528412334762272911 ~2006
29184638872334771109711 ~2006
2918547143583709428710 ~2005
29185784937004588383311 ~2008
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26-01-11