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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
3306458411661291682310 ~2005
3306472139661294427910 ~2005
3306518591661303718310 ~2005
33066481931983988915911 ~2007
3306932003661386400710 ~2005
3307047431661409486310 ~2005
3307099151661419830310 ~2005
3307152539661430507910 ~2005
3307268843661453768710 ~2005
33072748515291639761711 ~2008
33073799537276235896711 ~2008
33073879971984432798311 ~2007
33074796137276455148711 ~2008
3307514603661502920710 ~2005
33075307011984518420711 ~2007
33075953931984557235911 ~2007
3307601579661520315910 ~2005
33076547992646123839311 ~2007
3307666223661533244710 ~2005
3307688231661537646310 ~2005
3307776971661555394310 ~2005
330778845731093211495912 ~2009
3307890143661578028710 ~2005
330789792123155285447112 ~2009
3308189999661637999910 ~2005
Exponent Prime Factor Digits Year
3308328251661665650310 ~2005
3308344463661668892710 ~2005
3308427071661685414310 ~2005
33084562971985073778311 ~2007
33085474331985128459911 ~2007
3308593583661718716710 ~2005
3308800031661760006310 ~2005
3308936483661787296710 ~2005
33090739811985444388711 ~2007
3309167531661833506310 ~2005
3309183743661836748710 ~2005
3309408779661881755910 ~2005
33094782977942747912911 ~2008
3309691991661938398310 ~2005
33098377033309837703111 ~2007
33098492512647879400911 ~2007
3309936263661987252710 ~2005
3310005659662001131910 ~2005
33100339215296054273711 ~2008
33100502571986030154311 ~2007
3310082459662016491910 ~2005
3310223711662044742310 ~2005
33102651979930795591111 ~2008
3310409171662081834310 ~2005
33104468571986268114311 ~2007
Exponent Prime Factor Digits Year
3310472783662094556710 ~2005
3310745519662149103910 ~2005
3310751303662150260710 ~2005
33107614372648609149711 ~2007
33108604372648688349711 ~2007
3310926623662185324710 ~2005
3310943903662188780710 ~2005
3310961651662192330310 ~2005
3311177003662235400710 ~2005
33112482611986748956711 ~2007
33113333931986800035911 ~2007
33113701197947288285711 ~2008
3311502443662300488710 ~2005
3311542823662308564710 ~2005
33115816134636214258311 ~2007
33116792992649343439311 ~2007
3311686439662337287910 ~2005
3311932439662386487910 ~2005
3312168143662433628710 ~2005
3312336323662467264710 ~2005
3312377111662475422310 ~2005
3312641099662528219910 ~2005
3312847679662569535910 ~2005
33128893971987733638311 ~2007
33130283331987816999911 ~2007
Exponent Prime Factor Digits Year
33130548131987832887911 ~2007
3313063703662612740710 ~2005
3313086431662617286310 ~2005
33131912931987914775911 ~2007
3313260011662652002310 ~2005
33135449512650835960911 ~2007
3313591103662718220710 ~2005
3313927271662785454310 ~2005
3313966091662793218310 ~2005
3314029703662805940710 ~2005
331431158910605797084912 ~2008
3314372879662874575910 ~2005
33143771272651501701711 ~2007
33144532731988671963911 ~2007
3314477291662895458310 ~2005
331448293123864277103312 ~2009
3314578031662915606310 ~2005
3314897279662979455910 ~2005
3315370511663074102310 ~2005
3315453083663090616710 ~2005
3315589811663117962310 ~2005
33157021072652561685711 ~2007
33157622872652609829711 ~2007
3315948983663189796710 ~2005
3315952151663190430310 ~2005
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25-06-22