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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
30757757211845465432711 ~2006
3076055639615211127910 ~2005
3076277903615255580710 ~2005
3076330583615266116710 ~2005
3076607519615321503910 ~2005
30766685715538003427911 ~2007
3076814651615362930310 ~2005
3076862231615372446310 ~2005
3076896191615379238310 ~2005
3076900979615380195910 ~2005
3077010731615402146310 ~2005
3077052851615410570310 ~2005
30770962012461676960911 ~2007
30771130696769648751911 ~2008
3077190563615438112710 ~2005
3077221211615444242310 ~2005
3077365079615473015910 ~2005
3077371079615474215910 ~2005
3077543939615508787910 ~2005
3077588903615517780710 ~2005
3077718503615543700710 ~2005
30779456211846767372711 ~2006
3077988323615597664710 ~2005
3078043739615608747910 ~2005
30781449115540660839911 ~2007
Exponent Prime Factor Digits Year
3078295439615659087910 ~2005
3078305063615661012710 ~2005
3078340403615668080710 ~2005
30783959397388150253711 ~2008
30784497411847069844711 ~2006
30785889119851484515311 ~2008
3078709451615741890310 ~2005
3078839831615767966310 ~2005
30789159771847349586311 ~2006
3078989519615797903910 ~2005
3079095011615819002310 ~2005
3079134011615826802310 ~2005
30792925912463434072911 ~2007
30793803771847628226311 ~2006
3079502351615900470310 ~2005
3079896311615979262310 ~2005
30799280211847956812711 ~2006
3079980131615996026310 ~2005
3079980791615996158310 ~2005
3080121311616024262310 ~2005
3080331263616066252710 ~2005
3080570891616114178310 ~2005
30805773171848346390311 ~2006
3080617499616123499910 ~2005
3080689211616137842310 ~2005
Exponent Prime Factor Digits Year
30807217012464577360911 ~2007
3080987051616197410310 ~2005
3081222731616244546310 ~2005
30812974633081297463111 ~2007
3081333191616266638310 ~2005
3081412319616282463910 ~2005
30815326273081532627111 ~2007
3081712703616342540710 ~2005
3081735659616347131910 ~2005
308174934754855138376712 ~2010
30817815294314494140711 ~2007
3081878483616375696710 ~2005
30819409211849164552711 ~2006
30820681633082068163111 ~2007
3082181279616436255910 ~2005
3082291211616458242310 ~2005
30823715593082371559111 ~2007
3082636943616527388710 ~2005
30826965011849617900711 ~2006
30828733012466298640911 ~2007
30829005292466320423311 ~2007
3083027483616605496710 ~2005
30830473492466437879311 ~2007
3083081363616616272710 ~2005
3083226851616645370310 ~2005
Exponent Prime Factor Digits Year
3083269919616653983910 ~2005
3083291999616658399910 ~2005
308351196747486084291912 ~2010
30836975771850218546311 ~2006
30838874272467109941711 ~2007
3083964419616792883910 ~2005
3083987519616797503910 ~2005
3084035963616807192710 ~2005
3084344339616868867910 ~2005
3084353423616870684710 ~2005
3084471359616894271910 ~2005
3084518663616903732710 ~2005
30846426011850785560711 ~2006
3084680363616936072710 ~2005
3084722051616944410310 ~2005
3084748739616949747910 ~2005
3084748871616949774310 ~2005
30847807331850868439911 ~2006
3084888923616977784710 ~2005
3085056323617011264710 ~2005
30850807731851048463911 ~2006
3085098251617019650310 ~2005
3085369811617073962310 ~2005
3085396859617079371910 ~2005
3085491131617098226310 ~2005
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25-04-13