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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
861431303172286260710 ~2001
861480143172296028710 ~2001
861505979172301195910 ~2001
861511583172302316710 ~2001
861517271172303454310 ~2001
861563123172312624710 ~2001
861605579172321115910 ~2001
861623111172324622310 ~2001
861650411172330082310 ~2001
8616507197582526327311 ~2005
861654421516992652710 ~2002
861705599172341119910 ~2001
861753869689403095310 ~2002
8617759872930038355911 ~2004
861781757517069054310 ~2002
861800123172360024710 ~2001
861815377517089226310 ~2002
861825011172365002310 ~2001
8618314932068395583311 ~2003
861832481517099488710 ~2002
861846743172369348710 ~2001
861852503172370500710 ~2001
861872437517123462310 ~2002
861900023172380004710 ~2001
861913361689530688910 ~2002
Exponent Prime Factor Digits Year
861916151172383230310 ~2001
8619436798964214261711 ~2005
861947351172389470310 ~2001
861949139172389827910 ~2001
861976433517185859910 ~2002
861979541689583632910 ~2002
862009103172401820710 ~2001
862019281517211568710 ~2002
862027559689622047310 ~2002
862033703172406740710 ~2001
862045763172409152710 ~2001
862068509689654807310 ~2002
862088657517253194310 ~2002
862097039172419407910 ~2001
862107419172421483910 ~2001
8621646892586494067111 ~2004
862175651172435130310 ~2001
862219679172443935910 ~2001
862250699172450139910 ~2001
862299671172459934310 ~2001
862341743172468348710 ~2001
862356431172471286310 ~2001
8623583472932018379911 ~2004
8623952411897269530311 ~2003
862411943172482388710 ~2001
Exponent Prime Factor Digits Year
862428719172485743910 ~2001
862432079172486415910 ~2001
862437203172487440710 ~2001
862443971172488794310 ~2001
862454303172490860710 ~2001
862602371172520474310 ~2001
862612823172522564710 ~2001
8626389611897805714311 ~2003
862640483172528096710 ~2001
862656077517593646310 ~2002
862664111172532822310 ~2001
862667893517600735910 ~2002
862685123172537024710 ~2001
862807061517684236710 ~2002
862890863172578172710 ~2001
862911839172582367910 ~2001
862914803172582960710 ~2001
862924883172584976710 ~2001
862926611172585322310 ~2001
862937423172587484710 ~2001
862949459172589891910 ~2001
862989577517793746310 ~2002
863012483172602496710 ~2001
863083499172616699910 ~2001
863092697517855618310 ~2002
Exponent Prime Factor Digits Year
863126123172625224710 ~2001
863149513517889707910 ~2002
863149979172629995910 ~2001
863151539172630307910 ~2001
863158267863158267110 ~2002
863160341690528272910 ~2002
863160911172632182310 ~2001
863192171172638434310 ~2001
863216479863216479110 ~2002
863229551172645910310 ~2001
863242799172648559910 ~2001
863248031690598424910 ~2002
863253119172650623910 ~2001
863265971172653194310 ~2001
863309101517985460710 ~2002
863339699172667939910 ~2001
863432107863432107110 ~2002
863450963172690192710 ~2001
863468891172693778310 ~2001
863522351172704470310 ~2001
863546053518127631910 ~2002
863548151172709630310 ~2001
863578817518147290310 ~2002
863632883172726576710 ~2001
863670611172734122310 ~2001
3398
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25-04-13