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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
78777036111575540722311 ~2008
78778361391575567227911 ~2008
78778675791575573515911 ~2008
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
Exponent Prime Factor Dig. Year
78845397111576907942311 ~2008
78845703711576914074311 ~2008
78848097111576961942311 ~2008
78848898231576977964711 ~2008
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
Exponent Prime Factor Dig. Year
78924201831578484036711 ~2008
78926449791578528995911 ~2008
78930180111578603602311 ~2008
78934585191578691703911 ~2008
78938621391578772427911 ~2008
78938657816315092624911 ~2010
789416946714209505040712 ~2011
78944580831578891616711 ~2008
78946114431578922288711 ~2008
78946640477894664047111 ~2010
78949734476315978757711 ~2010
78950166111579003322311 ~2008
78951357711579027154311 ~2008
78951460796316116863311 ~2010
78954127814737247668711 ~2009
78956304534737378271911 ~2009
789595811311054341358312 ~2010
78960449511579208990311 ~2008
78960892614737653556711 ~2009
78962178111579243562311 ~2008
78964765431579295308711 ~2008
78965215791579304315911 ~2008
78966707631579334152711 ~2008
78967401711579348034311 ~2008
78973102311579462046311 ~2008
Exponent Prime Factor Dig. Year
78973318311579466366311 ~2008
78978407991579568159911 ~2008
78979505837897950583111 ~2010
78979996911579599938311 ~2008
78981985791579639715911 ~2008
78985011476318800917711 ~2010
78987487791579749755911 ~2008
78991243614739474616711 ~2009
78991904511579838090311 ~2008
78993201711579864034311 ~2008
789990807712639852923312 ~2011
79003602711580072054311 ~2008
79003795791580075915911 ~2008
79006353711580127074311 ~2008
79011080631580221612711 ~2008
790156130911062185832712 ~2010
79016890791580337815911 ~2008
790187211718964493080912 ~2011
790205780318964938727312 ~2011
790246063317385413392712 ~2011
79028340591580566811911 ~2008
79030743231580614864711 ~2008
79033073391580661467911 ~2008
79039095231580781904711 ~2008
79045976991580919539911 ~2008
4254
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25-06-01