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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 Dig. Year
78638442111572768842311 ~2008
78642733791572854675911 ~2008
786477191311010680678312 ~2010
78648841076291907285711 ~2010
786625996714159267940712 ~2011
78663592734719815563911 ~2009
78667347831573346956711 ~2008
78668334831573366696711 ~2008
786694494112587111905712 ~2011
78673819191573476383911 ~2008
78679987311573599746311 ~2008
78685317116294825368911 ~2010
786858798112589740769712 ~2011
78686287311573725746311 ~2008
78686392877868639287111 ~2010
78689928111573798562311 ~2008
78695047431573900948711 ~2008
786972385933052840207912 ~2012
78700741191574014823911 ~2008
78701249031574024980711 ~2008
78702006231574040124711 ~2008
78711752814722705168711 ~2009
78712726311574254526311 ~2008
787156605718891758536912 ~2011
78722062134723323727911 ~2009
Exponent Prime Factor Dig. Year
78722432511574448650311 ~2008
787236748720468155466312 ~2011
78723759111574475182311 ~2008
78724080231574481604711 ~2008
78726680031574533600711 ~2008
78728921414723735284711 ~2009
78733112096298648967311 ~2010
78736020896298881671311 ~2010
787368934744092660343312 ~2012
78742384791574847695911 ~2008
78743055111574861102311 ~2008
78743110311574862206311 ~2008
78745497591574909951911 ~2008
78746619231574932384711 ~2008
78748398591574967971911 ~2008
78755111391575102227911 ~2008
78756938511575138770311 ~2008
78770267991575405359911 ~2008
78770590614726235436711 ~2009
78770651934726239115911 ~2009
78771964791575439295911 ~2008
78776151831575523036711 ~2008
78777036111575540722311 ~2008
78778361391575567227911 ~2008
78778675791575573515911 ~2008
Exponent Prime Factor Dig. Year
78780334191575606683911 ~2008
78780342111575606842311 ~2008
78783081111575661622311 ~2008
78785143791575702875911 ~2008
787876145325212036649712 ~2011
78790945791575818915911 ~2008
78795244616303619568911 ~2010
787980025956734561864912 ~2012
78806510391576130207911 ~2008
78811236711576224734311 ~2008
78812536574728752194311 ~2009
78813388191576267763911 ~2008
78813530031576270600711 ~2008
78814882911576297658311 ~2008
78823093214729385592711 ~2009
78825523431576510468711 ~2008
78827061591576541231911 ~2008
78830474991576609499911 ~2008
78837420591576748411911 ~2008
78839818791576796375911 ~2008
78842059431576841188711 ~2008
78845101911576902038311 ~2008
78845397111576907942311 ~2008
78848097111576961942311 ~2008
78848898231576977964711 ~2008
Exponent Prime Factor Dig. Year
788611763311040564686312 ~2010
78863523711577270474311 ~2008
788646540161514430127912 ~2012
78870040431577400808711 ~2008
78873672591577473451911 ~2008
788767902131550716084112 ~2011
78880254591577605091911 ~2008
78882827511577656550311 ~2008
78885400311577708006311 ~2008
78889784574733387074311 ~2009
78897978711577959574311 ~2008
78905193591578103871911 ~2008
78906759111578135182311 ~2008
78908541231578170824711 ~2008
78909695631578193912711 ~2008
78910547991578210959911 ~2008
78911122616312889808911 ~2010
78911376231578227524711 ~2008
78914932134734895927911 ~2009
78920850374735251022311 ~2009
78923918414735435104711 ~2009
78924201831578484036711 ~2008
78926449791578528995911 ~2008
78930180111578603602311 ~2008
78934585191578691703911 ~2008
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25-04-13