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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
695732231139146446310 ~2000
695739839556591871310 ~2002
695742023139148404710 ~2000
695742961417445776710 ~2001
695770501417462300710 ~2001
695789543139157908710 ~2000
695800139139160027910 ~2000
695813483139162696710 ~2000
695832821417499692710 ~2001
695869943139173988710 ~2000
695907059139181411910 ~2000
695986163139197232710 ~2000
696010499139202099910 ~2000
696022643139204528710 ~2000
696039803139207960710 ~2000
696048179139209635910 ~2000
6960586211113693793711 ~2002
6961028111113764497711 ~2002
696114383139222876710 ~2000
696144083139228816710 ~2000
696151271139230254310 ~2000
696154883139230976710 ~2000
696161783139232356710 ~2000
696194231139238846310 ~2000
696224021556979216910 ~2002
Exponent Prime Factor Digits Year
696267779139253555910 ~2000
696273419139254683910 ~2000
696297659139259531910 ~2000
696305297417783178310 ~2001
696312521417787512710 ~2001
696332459139266491910 ~2000
696432799696432799110 ~2002
696441419139288283910 ~2000
696454259139290851910 ~2000
696463127557170501710 ~2002
696481403139296280710 ~2000
696484571139296914310 ~2000
696488459139297691910 ~2000
696488843139297768710 ~2000
696533489557226791310 ~2002
696539101417923460710 ~2001
696539699557231759310 ~2002
696558211696558211110 ~2002
696559499139311899910 ~2000
696565019557252015310 ~2002
696625763139325152710 ~2000
696679079139335815910 ~2000
696680063139336012710 ~2000
696711971139342394310 ~2000
696712223139342444710 ~2000
Exponent Prime Factor Digits Year
696764459139352891910 ~2000
696771563139354312710 ~2000
696787859139357571910 ~2000
696813703696813703110 ~2002
696815543139363108710 ~2000
696816521418089912710 ~2001
696848129557478503310 ~2002
696878531139375706310 ~2000
696951383139390276710 ~2000
697046123139409224710 ~2000
697095901418257540710 ~2001
697098091697098091110 ~2002
697099631139419926310 ~2000
697224617557779693710 ~2002
697225601557780480910 ~2002
697232771139446554310 ~2000
697311479139462295910 ~2000
697316377418389826310 ~2001
697329173418397503910 ~2001
697329683139465936710 ~2000
697336823139467364710 ~2000
697340123139468024710 ~2000
697345079139469015910 ~2000
697355471139471094310 ~2000
697357091139471418310 ~2000
Exponent Prime Factor Digits Year
697367543139473508710 ~2000
6973716734881601711111 ~2004
697372163139474432710 ~2000
697381103139476220710 ~2000
697428863139485772710 ~2000
697436903139487380710 ~2000
697461463697461463110 ~2002
697475423139495084710 ~2000
697522883139504576710 ~2000
697523279139504655910 ~2000
697556477418533886310 ~2001
697615511139523102310 ~2000
697666433976733006310 ~2002
697694111139538822310 ~2000
697700579139540115910 ~2000
697706699139541339910 ~2000
697750211139550042310 ~2000
697757891139551578310 ~2000
697791343697791343110 ~2002
6978079331674739039311 ~2003
697826663139565332710 ~2000
697837799139567559910 ~2000
697881937418729162310 ~2001
697889039139577807910 ~2000
6979200011535424002311 ~2003
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25-07-08