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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
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
862807061517684236710 ~2002
862890863172578172710 ~2001
862911839172582367910 ~2001
862914803172582960710 ~2001
862924883172584976710 ~2001
862926611172585322310 ~2001
862937423172587484710 ~2001
862949459172589891910 ~2001
Exponent Prime Factor Digits Year
862989577517793746310 ~2002
863012483172602496710 ~2001
863083499172616699910 ~2001
863092697517855618310 ~2002
863126123172625224710 ~2001
863149513517889707910 ~2002
863149979172629995910 ~2001
863151539172630307910 ~2001
863158267863158267110 ~2003
863160341690528272910 ~2002
863160911172632182310 ~2001
863192171172638434310 ~2001
863216479863216479110 ~2003
863229551172645910310 ~2001
863242799172648559910 ~2001
863248031690598424910 ~2002
863253119172650623910 ~2001
863265971172653194310 ~2001
863269717517961830310 ~2002
863309101517985460710 ~2002
863339699172667939910 ~2001
863432107863432107110 ~2003
863450963172690192710 ~2001
863468891172693778310 ~2001
863522351172704470310 ~2001
Exponent Prime Factor Digits Year
863546053518127631910 ~2002
863548151172709630310 ~2001
863578817518147290310 ~2002
863632883172726576710 ~2001
863670611172734122310 ~2001
863693639172738727910 ~2001
863721791172744358310 ~2001
8637431593454972636111 ~2004
863778221691022576910 ~2002
863848439172769687910 ~2001
8638641671382182667311 ~2003
863876813518326087910 ~2002
863904907863904907110 ~2003
863911987863911987110 ~2003
863924843172784968710 ~2001
863943011172788602310 ~2001
863961383172792276710 ~2001
8639703474838233943311 ~2004
863971859172794371910 ~2001
8639829011382372641711 ~2003
8639851037775865927111 ~2005
863985359172797071910 ~2001
864019151172803830310 ~2001
864083917518450350310 ~2002
864088499172817699910 ~2001
Exponent Prime Factor Digits Year
864178657518507194310 ~2002
864181091172836218310 ~2001
864244499172848899910 ~2001
864259751172851950310 ~2001
864274871172854974310 ~2001
864276797518566078310 ~2002
8642808891209993244711 ~2003
864287351172857470310 ~2001
864294659172858931910 ~2001
864302651172860530310 ~2001
8643111114840142221711 ~2004
864332563864332563110 ~2003
864371663172874332710 ~2001
864381443172876288710 ~2001
864419999172883999910 ~2001
864430163172886032710 ~2001
864442763172888552710 ~2001
864448883172889776710 ~2001
864528299172905659910 ~2001
864578219172915643910 ~2001
864582899172916579910 ~2001
864636191172927238310 ~2001
864658079172931615910 ~2001
864661631172932326310 ~2001
864675797518805478310 ~2002
3518
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25-07-20