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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
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
78973318311579466366311 ~2008
78978407991579568159911 ~2008
78979505837897950583111 ~2010
78979996911579599938311 ~2008
Exponent Prime Factor Dig. Year
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
79048063911580961278311 ~2008
79048806111580976122311 ~2008
79049207991580984159911 ~2008
79055985111581119702311 ~2008
Exponent Prime Factor Dig. Year
79065770511581315410311 ~2008
79067379591581347591911 ~2008
79068516476325481317711 ~2010
79068681111581373622311 ~2008
79074534414744472064711 ~2009
79075732934744543975911 ~2009
79078927431581578548711 ~2008
79081546791581630935911 ~2008
79082563191581651263911 ~2008
79083010911581660218311 ~2008
79084298031581685960711 ~2008
79085704431581714088711 ~2008
79087046031581740920711 ~2008
79089481191581789623911 ~2008
79090703574745442214311 ~2009
79091312031581826240711 ~2008
79095723231581914464711 ~2008
79100910476328072837711 ~2010
79101877517910187751111 ~2010
79103138214746188292711 ~2009
79104180111582083602311 ~2008
79110505791582210115911 ~2008
79111214991582224299911 ~2008
79113020391582260407911 ~2008
79113779276329102341711 ~2010
Exponent Prime Factor Dig. Year
79121277711582425554311 ~2008
791216919712659470715312 ~2011
79124154711582483094311 ~2008
79127729991582554599911 ~2008
79128235734747694143911 ~2009
79129646391582592927911 ~2008
791347950718992350816912 ~2011
79136083311582721666311 ~2008
79145289111582905782311 ~2008
79148536196331882895311 ~2010
79149821774748989306311 ~2009
79151425191583028503911 ~2008
79152142911583042858311 ~2008
79154566916332365352911 ~2010
79158074391583161487911 ~2008
79161215391583224307911 ~2008
791618437114249131867912 ~2011
79168824476333505957711 ~2010
79176671391583533427911 ~2008
79178136014750688160711 ~2009
79186663911583733278311 ~2008
79188119511583762390311 ~2008
79188321231583766424711 ~2008
79189265031583785300711 ~2008
79189369191583787383911 ~2008
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25-04-13