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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
860728663860728663110 ~2003
860760143172152028710 ~2001
860763119172152623910 ~2001
860767619172153523910 ~2001
860864783172172956710 ~2001
860873963172174792710 ~2001
860877599172175519910 ~2001
860884393516530635910 ~2002
860903159688722527310 ~2002
860916293516549775910 ~2002
860917511172183502310 ~2001
860936849688749479310 ~2002
860959691172191938310 ~2001
860967791172193558310 ~2001
860993999172198799910 ~2001
860997491172199498310 ~2001
861061583172212316710 ~2001
861098351172219670310 ~2001
8611438491205601388711 ~2003
8611467071377834731311 ~2003
861166283172233256710 ~2001
861286091172257218310 ~2001
861290603172258120710 ~2001
861322439172264487910 ~2001
861334403172266880710 ~2001
Exponent Prime Factor Digits Year
861338237516802942310 ~2002
8613532931894977244711 ~2003
861379391172275878310 ~2001
861431303172286260710 ~2001
861474277516884566310 ~2002
861480143172296028710 ~2001
861505979172301195910 ~2001
861511583172302316710 ~2001
861517271172303454310 ~2001
861563123172312624710 ~2001
861605579172321115910 ~2001
861623111172324622310 ~2001
861650411172330082310 ~2001
8616507197582526327311 ~2005
861654421516992652710 ~2002
861705599172341119910 ~2001
861753869689403095310 ~2002
861759179172351835910 ~2001
8617759872930038355911 ~2004
861781757517069054310 ~2002
861800123172360024710 ~2001
861811883172362376710 ~2001
861815377517089226310 ~2002
861825011172365002310 ~2001
8618314932068395583311 ~2003
Exponent Prime Factor Digits Year
861846743172369348710 ~2001
861852503172370500710 ~2001
861872437517123462310 ~2002
861900023172380004710 ~2001
861913361689530688910 ~2002
861916151172383230310 ~2001
8619436798964214261711 ~2005
861947351172389470310 ~2001
861949139172389827910 ~2001
861955079172391015910 ~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
862224323172444864710 ~2001
Exponent Prime Factor Digits Year
862250699172450139910 ~2001
862299671172459934310 ~2001
862341743172468348710 ~2001
862356431172471286310 ~2001
8623583472932018379911 ~2004
8623952411897269530311 ~2003
862411943172482388710 ~2001
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
8627839312760908579311 ~2004
862807061517684236710 ~2002
862890863172578172710 ~2001
862911839172582367910 ~2001
862914803172582960710 ~2001
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