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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
29331803334106452466311 ~2007
29332324372346585949711 ~2006
2933314451586662890310 ~2005
2933454383586690876710 ~2005
29334898439387167497711 ~2008
2933501999586700399910 ~2005
2933621219586724243910 ~2005
29336242571760174554311 ~2006
29336418772346913501711 ~2006
2933833751586766750310 ~2005
2933850299586770059910 ~2005
29339627211760377632711 ~2006
2934053651586810730310 ~2005
2934096311586819262310 ~2005
29341574272347325941711 ~2006
29341825437042038103311 ~2008
2934191699586838339910 ~2005
2934216443586843288710 ~2005
2934338531586867706310 ~2005
2934454343586890868710 ~2005
2934479363586895872710 ~2005
2934507539586901507910 ~2005
2934582251586916450310 ~2005
2934594599586918919910 ~2005
29346687014695469921711 ~2007
Exponent Prime Factor Digits Year
2934688271586937654310 ~2005
29347773432934777343111 ~2007
29347779611760866776711 ~2006
29347829331760869759911 ~2006
2934955451586991090310 ~2005
2935002803587000560710 ~2005
29351334595283240226311 ~2007
2935157471587031494310 ~2005
2935160699587032139910 ~2005
2935212743587042548710 ~2005
2935251779587050355910 ~2005
29352588837044621319311 ~2008
29352821097044677061711 ~2008
2935367723587073544710 ~2005
2935404683587080936710 ~2005
29354687771761281266311 ~2006
29354814531761288871911 ~2006
2935558751587111750310 ~2005
29357508915284351603911 ~2007
2935814351587162870310 ~2005
2935868003587173600710 ~2005
293588005344038200795112 ~2010
29358941211761536472711 ~2006
2935989239587197847910 ~2005
2935990259587198051910 ~2005
Exponent Prime Factor Digits Year
29360469472348837557711 ~2006
29360521392936052139111 ~2007
2936261483587252296710 ~2005
29363073432936307343111 ~2007
2936332859587266571910 ~2005
2936448719587289743910 ~2005
2936477699587295539910 ~2005
2936508671587301734310 ~2005
29366438472936643847111 ~2007
29366805592349344447311 ~2006
29367339731762040383911 ~2006
29369105472936910547111 ~2007
2936979299587395859910 ~2005
29371076896461636915911 ~2008
29372992972349839437711 ~2006
2937320051587464010310 ~2005
2937490403587498080710 ~2005
2937538343587507668710 ~2005
2937556691587511338310 ~2005
29376294171762577650311 ~2006
2937652979587530595910 ~2005
2937734939587546987910 ~2005
2937779723587555944710 ~2005
2937790571587558114310 ~2005
2937849503587569900710 ~2005
Exponent Prime Factor Digits Year
29379652214700744353711 ~2007
2937985163587597032710 ~2005
2938537403587707480710 ~2005
2938613339587722667910 ~2005
29387355592350988447311 ~2006
2938767719587753543910 ~2005
29388767572351101405711 ~2006
2939020499587804099910 ~2005
29390885771763453146311 ~2006
29392178877054122928911 ~2008
29392228334702756532911 ~2007
29393116011763586960711 ~2006
29394550372351564029711 ~2006
2939645003587929000710 ~2005
2939658971587931794310 ~2005
29397111915291480143911 ~2007
29398287792939828779111 ~2007
2939878751587975750310 ~2005
29398921072351913685711 ~2006
29399372832939937283111 ~2007
29401252571764075154311 ~2006
294019744321169421589712 ~2009
2940214331588042866310 ~2005
2940268679588053735910 ~2005
29403915611764234936711 ~2006
4251
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26-01-11