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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
716830319143366063910 ~2000
7168317293440792299311 ~2004
716835221430101132710 ~2001
716876291143375258310 ~2000
716893511143378702310 ~2000
716985851143397170310 ~2000
716998823143399764710 ~2000
717039503143407900710 ~2000
717092303143418460710 ~2000
717106697430264018310 ~2001
717172997430303798310 ~2001
717182171143436434310 ~2000
717202991143440598310 ~2000
717233063143446612710 ~2000
717248771143449754310 ~2000
717255631717255631110 ~2002
717262957430357774310 ~2001
717274991143454998310 ~2000
717316163143463232710 ~2000
717325597430395358310 ~2001
717339971143467994310 ~2000
717347003143469400710 ~2000
717349271143469854310 ~2000
717352319143470463910 ~2000
717376823143475364710 ~2000
Exponent Prime Factor Digits Year
717401341430440804710 ~2001
717425399143485079910 ~2000
717435923143487184710 ~2000
717444053430466431910 ~2001
717472859143494571910 ~2000
717481139143496227910 ~2000
717535823143507164710 ~2000
7175380271291568448711 ~2003
717560699143512139910 ~2000
717561913430537147910 ~2001
717575843143515168710 ~2000
7175811591291646086311 ~2003
7175962331578711712711 ~2003
717600677430560406310 ~2001
717601991143520398310 ~2000
717605939143521187910 ~2000
717612359143522471910 ~2000
717613937430568362310 ~2001
717636611143527322310 ~2000
717676387717676387110 ~2002
717687599143537519910 ~2000
717691259143538251910 ~2000
717740819143548163910 ~2000
7177853712871141484111 ~2003
717795899143559179910 ~2000
Exponent Prime Factor Digits Year
7178165531148506484911 ~2002
7178419911292115583911 ~2003
717854939143570987910 ~2000
717859619143571923910 ~2000
717867719143573543910 ~2000
717897671143579534310 ~2000
717921311143584262310 ~2000
7179265271723023664911 ~2003
717926981430756188710 ~2001
717953003143590600710 ~2000
718011241430806744710 ~2001
718022699143604539910 ~2000
718045403143609080710 ~2000
718055483143611096710 ~2000
718064111143612822310 ~2000
718070861574456688910 ~2002
718110479143622095910 ~2000
718116611143623322310 ~2000
718123691143624738310 ~2000
718126151143625230310 ~2000
718127939143625587910 ~2000
718154543143630908710 ~2000
718160483143632096710 ~2000
718164659143632931910 ~2000
718180499143636099910 ~2000
Exponent Prime Factor Digits Year
718187579143637515910 ~2000
718194479574555583310 ~2002
718211531143642306310 ~2000
718246211143649242310 ~2000
718249739143649947910 ~2000
718262543143652508710 ~2000
718264139143652827910 ~2000
718294019143658803910 ~2000
718331759143666351910 ~2000
718354327718354327110 ~2002
718380563143676112710 ~2000
718435583143687116710 ~2000
718438181431062908710 ~2001
718440761574752608910 ~2002
718442171143688434310 ~2000
718446611143689322310 ~2000
718451537431070922310 ~2001
718466519574773215310 ~2002
718470323143694064710 ~2000
7184925891005889624711 ~2002
718530443143706088710 ~2000
718576739143715347910 ~2000
718600331143720066310 ~2000
718607893431164735910 ~2001
718642763143728552710 ~2000
3610
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25-12-14