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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
909911543181982308710 ~2001
909914639181982927910 ~2001
909924023181984804710 ~2001
910026263182005252710 ~2001
9100396872184095248911 ~2004
910078193546046915910 ~2002
910109069728087255310 ~2002
910187099728149679310 ~2002
910200763910200763110 ~2003
910213127728170501710 ~2002
9102140892184513813711 ~2004
910216799182043359910 ~2001
910239149728191319310 ~2002
910255319182051063910 ~2001
910280219182056043910 ~2001
910314143182062828710 ~2001
910329239182065847910 ~2001
9103344311456535089711 ~2003
910380743182076148710 ~2001
910400279182080055910 ~2001
910405031182081006310 ~2001
910416281546249768710 ~2002
9104480471456716875311 ~2003
910453679182090735910 ~2001
91048051116934937504712 ~2006
Exponent Prime Factor Digits Year
910516031182103206310 ~2001
910516441546309864710 ~2002
910552343182110468710 ~2001
910559579182111915910 ~2001
910606457546363874310 ~2002
910608983182121796710 ~2001
9106128891274858044711 ~2003
910644659182128931910 ~2001
910655833546393499910 ~2002
910665131182133026310 ~2001
9106678617103209315911 ~2005
910668497546401098310 ~2002
910722133546433279910 ~2002
910747619182149523910 ~2001
910756523182151304710 ~2001
910770617728616493710 ~2002
910814279182162855910 ~2001
910852139182170427910 ~2001
910858463182171692710 ~2001
910876223182175244710 ~2001
910890397546534238310 ~2002
910909451182181890310 ~2001
9109329611457492737711 ~2003
910935941546561564710 ~2002
910947743182189548710 ~2001
Exponent Prime Factor Digits Year
9109575617105468975911 ~2005
911025539182205107910 ~2001
911029901728823920910 ~2002
911056621546633972710 ~2002
911058443182211688710 ~2001
911085971182217194310 ~2001
911094143182218828710 ~2001
911100857546660514310 ~2002
911149091182229818310 ~2001
911190853546714511910 ~2002
911191691182238338310 ~2001
911196479182239295910 ~2001
911230057546738034310 ~2002
911230163182246032710 ~2001
911231177728984941710 ~2002
91123207111117031266312 ~2005
911248511728998808910 ~2002
911268791182253758310 ~2001
911299877546779926310 ~2002
911313839729051071310 ~2002
911333447729066757710 ~2002
911356331182271266310 ~2001
911364791182272958310 ~2001
911374283182274856710 ~2001
911386717546832030310 ~2002
Exponent Prime Factor Digits Year
911387819182277563910 ~2001
911395643182279128710 ~2001
911419823182283964710 ~2001
911421239182284247910 ~2001
9114254471640565804711 ~2003
911431229729144983310 ~2002
911486783182297356710 ~2001
911489291182297858310 ~2001
911546543182309308710 ~2001
911547863182309572710 ~2001
911558339182311667910 ~2001
911564399182312879910 ~2001
911568797546941278310 ~2002
9116106494375731115311 ~2004
911645159182329031910 ~2001
911676071182335214310 ~2001
911729939182345987910 ~2001
911734357547040614310 ~2002
911737361729389888910 ~2002
9117646871458823499311 ~2003
911768003182353600710 ~2001
911772419182354483910 ~2001
911784551182356910310 ~2001
911796419729437135310 ~2002
9118194316565099903311 ~2005
3524
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25-07-08