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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
50502721191010054423911 ~2007
505047524940403801992112 ~2011
50505361431010107228711 ~2007
50505445191010108903911 ~2007
50505782511010115650311 ~2007
50507998674040639893711 ~2008
50508084591010161691911 ~2007
50508206094040656487311 ~2008
50510401911010208038311 ~2007
50511213318081794129711 ~2009
50512757631010255152711 ~2007
50512773831010255476711 ~2007
50519275911010385518311 ~2007
50521618431010432368711 ~2007
505226642312125439415312 ~2009
50523858231010477164711 ~2007
50524366191010487323911 ~2007
50524522333031471339911 ~2008
50529603231010592064711 ~2007
50530386711010607734311 ~2007
50532089031010641780711 ~2007
50535198973032111938311 ~2008
50536026231010720524711 ~2007
50536930813032215848711 ~2008
50543940111010878802311 ~2007
Exponent Prime Factor Dig. Year
50544829431010896588711 ~2007
50548089594043847167311 ~2008
50548725733032923543911 ~2008
505490735328307481176912 ~2010
505491014328307496800912 ~2010
50550380991011007619911 ~2007
50550427311011008546311 ~2007
50551113711011022274311 ~2007
50551331991011026639911 ~2007
50553193191011063863911 ~2007
505560558733366996874312 ~2011
50556208733033372523911 ~2008
50559998031011199960711 ~2007
50561168991011223379911 ~2007
50564955231011299104711 ~2007
505674784912136194837712 ~2009
50569969431011399388711 ~2007
50572571413034354284711 ~2008
50574132894045930631311 ~2008
50578042311011560846311 ~2007
50582513573034950814311 ~2008
50583843711011676874311 ~2007
50585625831011712516711 ~2007
50586809115058680911111 ~2008
50587630191011752603911 ~2007
Exponent Prime Factor Dig. Year
50589414111011788282311 ~2007
505903741121247957126312 ~2010
50592393591011847871911 ~2007
50593047414047443792911 ~2008
50593279431011865588711 ~2007
50594206374047536509711 ~2008
50595395391011907907911 ~2007
50595654711011913094311 ~2007
50596278231011925564711 ~2007
50599827831011996556711 ~2007
50601487133036089227911 ~2008
506031569925301578495112 ~2010
50603253733036195223911 ~2008
50606083791012121675911 ~2007
50611820991012236419911 ~2007
50613202133036792127911 ~2008
50614027914049122232911 ~2008
50615818911012316378311 ~2007
50621409533037284571911 ~2008
50621778711012435574311 ~2007
506226643912149439453712 ~2009
50623599414049887952911 ~2008
50625175035062517503111 ~2009
50626584111012531682311 ~2007
50628252594050260207311 ~2008
Exponent Prime Factor Dig. Year
506316775724303205233712 ~2010
50633888991012677779911 ~2007
50636660991012733219911 ~2007
50639829711012796594311 ~2007
50640496911012809938311 ~2007
50641221591012824431911 ~2007
50641457991012829159911 ~2007
50642046973038522818311 ~2008
50642152311012843046311 ~2007
50644620591012892411911 ~2007
50644884831012897696711 ~2007
50647295031012945900711 ~2007
50647606933038856415911 ~2008
50647922631012958452711 ~2007
50649364911012987298311 ~2007
50652275391013045507911 ~2007
50654840031013096800711 ~2007
50655558435065555843111 ~2009
50656300191013126003911 ~2007
50656865511013137310311 ~2007
50659355991013187119911 ~2007
50659559031013191180711 ~2007
50661350238105816036911 ~2009
50667602031013352040711 ~2007
50668447911013368958311 ~2007
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25-04-13