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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 Digits Year
611771903122354380710 ~2000
611811097367086658310 ~2001
611821997367093198310 ~2001
611828801367097280710 ~2001
611835179122367035910 ~2000
611896081367137648710 ~2001
6119189771835756931111 ~2002
611941307489553045710 ~2001
611943119122388623910 ~2000
611946431122389286310 ~2000
611955083122391016710 ~2000
611962829856747960710 ~2002
611963123122392624710 ~2000
611972639122394527910 ~2000
611974091122394818310 ~2000
611975411122395082310 ~2000
611983763122396752710 ~2000
612022199489617759310 ~2001
612043031122408606310 ~2000
61204778917626976323312 ~2005
612064919122412983910 ~2000
612102713367261627910 ~2001
612106499122421299910 ~2000
612130853856983194310 ~2002
612152351122430470310 ~2000
Exponent Prime Factor Digits Year
612168863122433772710 ~2000
612195443122439088710 ~2000
612205171612205171110 ~2001
612212411122442482310 ~2000
612214919122442983910 ~2000
612216907612216907110 ~2001
612229043122445808710 ~2000
612230903122446180710 ~2000
612252071122450414310 ~2000
612258191122451638310 ~2000
612268463122453692710 ~2000
612274427489819541710 ~2001
612274777367364866310 ~2001
612287341979659745710 ~2002
612314063122462812710 ~2000
612319727489855781710 ~2001
612327731122465546310 ~2000
612337391122467478310 ~2000
612350699122470139910 ~2000
612369731122473946310 ~2000
612424223122484844710 ~2000
612429791122485958310 ~2000
612454343122490868710 ~2000
612458183122491636710 ~2000
612464561367478736710 ~2001
Exponent Prime Factor Digits Year
612469397489975517710 ~2001
612481403122496280710 ~2000
612491713979986740910 ~2002
612493439122498687910 ~2000
612497833367498699910 ~2001
612501059490000847310 ~2001
6125047491470011397711 ~2002
6125087231470020935311 ~2002
612511043122502208710 ~2000
61251490114700357624112 ~2005
612542951122508590310 ~2000
612551903122510380710 ~2000
612558587490046869710 ~2001
612594127612594127110 ~2001
612598139122519627910 ~2000
612605639122521127910 ~2000
612608411122521682310 ~2000
612628057980204891310 ~2002
612631441980210305710 ~2002
612661883122532376710 ~2000
612664427490131541710 ~2001
6126804071470432976911 ~2002
612700981367620588710 ~2001
612751033367650619910 ~2001
612781271122556254310 ~2000
Exponent Prime Factor Digits Year
6127993872083517915911 ~2003
612802139122560427910 ~2000
612819143122563828710 ~2000
612825901367695540710 ~2001
612839219122567843910 ~2000
612888629490310903310 ~2001
612888803122577760710 ~2000
612901043122580208710 ~2000
612903097367741858310 ~2001
612914363122582872710 ~2000
612926243122585248710 ~2000
6129303974290512779111 ~2003
612981251122596250310 ~2000
613016639122603327910 ~2000
613017143122603428710 ~2000
613022219122604443910 ~2000
613038383122607676710 ~2000
613055699490444559310 ~2001
613059539122611907910 ~2000
613071607613071607110 ~2001
613076039122615207910 ~2000
613102519613102519110 ~2001
613120901490496720910 ~2001
613174279613174279110 ~2001
613188071122637614310 ~2000
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25-05-04