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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
784306273470583763910 ~2002
784306571156861314310 ~2001
784317791156863558310 ~2001
784356563156871312710 ~2001
784364579156872915910 ~2001
784380539156876107910 ~2001
784380539627504431310
784392683156878536710 ~2001
784416443156883288710 ~2001
784452359156890471910 ~2001
784470971156894194310 ~2001
7844770811725849578311 ~2003
784518323156903664710 ~2001
7845208272667370811911 ~2004
784522163156904432710 ~2001
784522619156904523910 ~2001
784525811156905162310 ~2001
784539803156907960710 ~2001
784543619156908723910 ~2001
7845487271412187708711 ~2003
784568483156913696710 ~2001
784571279156914255910 ~2001
784578083156915616710 ~2001
784582031156916406310 ~2001
784596311156919262310 ~2001
Exponent Prime Factor Digits Year
784597301470758380710 ~2002
784608563156921712710 ~2001
784609799156921959910 ~2001
784622681627698144910 ~2002
784676281470805768710 ~2002
784679963156935992710 ~2001
784700219156940043910 ~2001
784733281470839968710 ~2002
784737623156947524710 ~2001
784749239156949847910 ~2001
784770251156954050310 ~2001
784773571784773571110 ~2002
7847845793766965979311 ~2004
784785143156957028710 ~2001
784798979156959795910 ~2001
784829651156965930310 ~2001
784831331156966266310 ~2001
784832579156966515910 ~2001
784834517470900710310 ~2002
784853831156970766310 ~2001
784872479156974495910 ~2001
784917443156983488710 ~2001
784926683156985336710 ~2001
784928951156985790310 ~2001
784936931156987386310 ~2001
Exponent Prime Factor Digits Year
784937771156987554310 ~2001
784987037470992222310 ~2002
7850131691884031605711 ~2003
785027231628021784910 ~2002
785030219157006043910 ~2001
785049563157009912710 ~2001
785076899157015379910 ~2001
7850925913140370364111 ~2004
785105939157021187910 ~2001
785113919157022783910 ~2001
785116973471070183910 ~2002
785127023157025404710 ~2001
7851411973140564788111 ~2004
7851465431256234468911 ~2003
785146991157029398310 ~2001
785166023157033204710 ~2001
785169971157033994310 ~2001
785198951157039790310 ~2001
785237753471142651910 ~2002
7852457814868523842311 ~2004
785248091157049618310 ~2001
785253323157050664710 ~2001
785255111157051022310 ~2001
785281223157056244710 ~2001
7853247531099454654311 ~2003
Exponent Prime Factor Digits Year
785331887628265509710 ~2002
785344717471206830310 ~2002
785355299157071059910 ~2001
785375561628300448910 ~2002
7853827213612760516711 ~2004
7854241871413763536711 ~2003
785428019157085603910 ~2001
785466611157093322310 ~2001
785471833471283099910 ~2002
785479649628383719310 ~2002
7854908411256785345711 ~2003
785502143157100428710 ~2001
785504591157100918310 ~2001
785530391157106078310 ~2001
7855398732356619619111 ~2003
785556839157111367910 ~2001
7855837515656203007311 ~2004
7856123931099857350311 ~2003
785628671157125734310 ~2001
7856399471257023915311 ~2003
785640731157128146310 ~2001
7856696571099937519911 ~2003
785680501471408300710 ~2002
785684579157136915910 ~2001
7856898315185552884711 ~2004
3893
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26-07-05