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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
556592992313358231815312 ~2010
55665861111113317222311 ~2007
55668807177793633003911 ~2009
55671326991113426539911 ~2007
55674669773340480186311 ~2008
55676910231113538204711 ~2007
55678438191113568763911 ~2007
55681419591113628391911 ~2007
55685044431113700888711 ~2007
55687017533341221051911 ~2008
55688928831113778576711 ~2007
55690798074455263845711 ~2009
55690814991113816299911 ~2007
55691798235569179823111 ~2009
55700176275570017627111 ~2009
55701497715570149771111 ~2009
55702722711114054454311 ~2007
55702857711114057154311 ~2007
557032369913368776877712 ~2010
55704418977798618655911 ~2009
55705775391114115507911 ~2007
55712834631114256692711 ~2007
55712922111114258442311 ~2007
557132814122285312564112 ~2010
55714525311114290506311 ~2007
Exponent Prime Factor Dig. Year
55715723391114314467911 ~2007
55716043191114320863911 ~2007
55719048231114380964711 ~2007
55721615991114432319911 ~2007
55722835431114456708711 ~2007
55725338994458027119311 ~2009
55727185733343631143911 ~2008
55729476231114589524711 ~2007
55730596191114611923911 ~2007
55732813333343968799911 ~2008
55733796413344027784711 ~2008
55736087391114721747911 ~2007
55736436711114728734311 ~2007
55736723391114734467911 ~2007
55740211791114804235911 ~2007
557438032362433059617712 ~2011
55747391514459791320911 ~2009
55751870031115037400711 ~2007
55752618831115052376711 ~2007
55755967395575596739111 ~2009
55757080311115141606311 ~2007
55761375711115227514311 ~2007
55763065911115261318311 ~2007
55763266311115265326311 ~2007
55763580831115271616711 ~2007
Exponent Prime Factor Dig. Year
55766777511115335550311 ~2007
55767165831115343316711 ~2007
55767235875576723587111 ~2009
557707067913384969629712 ~2010
55772160174461772813711 ~2009
55773538431115470768711 ~2007
55774015911115480318311 ~2007
55775662791115513255911 ~2007
55777574178924411867311 ~2009
55778592231115571844711 ~2007
55778713613346722816711 ~2008
55780338195578033819111 ~2009
55783655991115673119911 ~2007
55784084991115681699911 ~2007
55785126831115702536711 ~2007
55790165115579016511111 ~2009
55790834631115816692711 ~2007
55792730991115854619911 ~2007
557934548921201512858312 ~2010
55793460111115869202311 ~2007
55793764938927002388911 ~2009
55796086911115921738311 ~2007
55796573511115931470311 ~2007
55798191231115963824711 ~2007
55806978231116139564711 ~2007
Exponent Prime Factor Dig. Year
55807537911116150758311 ~2007
55813308711116266174311 ~2007
55814636213348878172711 ~2008
55816019391116320387911 ~2007
55816612191116332243911 ~2007
55820363031116407260711 ~2007
55820527791116410555911 ~2007
55821716533349302991911 ~2008
55822152831116443056711 ~2007
55823877111116477542311 ~2007
55825972431116519448711 ~2007
55826200191116524003911 ~2007
55826310231116526204711 ~2007
55826980911116539618311 ~2007
55830542991116610859911 ~2007
55831670118933067217711 ~2009
55832288031116645760711 ~2007
558350853122334034124112 ~2010
558379689110050834403912 ~2009
55841752311116835046311 ~2007
55846696311116933926311 ~2007
558469271313403262511312 ~2010
55850521133351031267911 ~2008
55852387791117047755911 ~2007
55853420991117068419911 ~2007
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25-09-07