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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
8250709571320113531311 ~2003
825081671165016334310 ~2001
825095879165019175910 ~2001
8251157411815254630311 ~2003
825115919165023183910 ~2001
825123193495073915910 ~2002
8251242171155173903911 ~2003
825128411165025682310 ~2001
825233411165046682310 ~2001
825237689660190151310 ~2002
825248591165049718310 ~2001
825263039165052607910 ~2001
825271283165054256710 ~2001
825325331165065066310 ~2001
825337283165067456710 ~2001
825365231165073046310 ~2001
825383483165076696710 ~2001
8254130595282643577711 ~2004
825441143165088228710 ~2001
825447611165089522310 ~2001
825448123825448123110 ~2002
825481691165096338310 ~2001
825507073495304243910 ~2002
825524461495314676710 ~2002
825525479165105095910 ~2001
Exponent Prime Factor Digits Year
825534071165106814310 ~2001
825544337495326602310 ~2002
825553753495332251910 ~2002
825556103165111220710 ~2001
825582371165116474310 ~2001
825627359165125471910 ~2001
8256412911486154323911 ~2003
825669371165133874310 ~2001
825694823165138964710 ~2001
825701531165140306310 ~2001
825710843165142168710 ~2001
825728399165145679910 ~2001
825750251165150050310 ~2001
825763901495458340710 ~2002
825789233495473539910 ~2002
825872711165174542310 ~2001
825875663165175132710 ~2001
825876563165175312710 ~2001
825880823165176164710 ~2001
825903671165180734310 ~2001
825908939165181787910 ~2001
825966671165193334310 ~2001
825967873495580723910 ~2002
825989039165197807910 ~2001
825991619165198323910 ~2001
Exponent Prime Factor Digits Year
826043063165208612710 ~2001
826063163165212632710 ~2001
826075829660860663310 ~2002
826115501660892400910 ~2002
826168571165233714310 ~2001
826220183165244036710 ~2001
826233119165246623910 ~2001
826239059165247811910 ~2001
826315631165263126310 ~2001
826325771165265154310 ~2001
826342871165268574310 ~2001
826348613495809167910 ~2002
826434359165286871910 ~2001
826434601495860760710 ~2002
826442339165288467910 ~2001
826463723165292744710 ~2001
826482479165296495910 ~2001
826545311165309062310 ~2001
826550093495930055910 ~2002
826571099165314219910 ~2001
8265870531157221874311 ~2003
826602443165320488710 ~2001
826603691165320738310 ~2001
826636511165327302310 ~2001
826654571661323656910 ~2002
Exponent Prime Factor Digits Year
826665491165333098310 ~2001
826715723165343144710 ~2001
826769231165353846310 ~2001
8268147891157540704711 ~2003
826827539165365507910 ~2001
826846283165369256710 ~2001
826866779165373355910 ~2001
826879127661503301710 ~2002
826890923165378184710 ~2001
826922639165384527910 ~2001
826923551165384710310 ~2001
826924711826924711110 ~2002
826949857496169914310 ~2002
8269738632811711134311 ~2004
826996463165399292710 ~2001
827025071165405014310 ~2001
8270307071323249131311 ~2003
827036183165407236710 ~2001
827067599165413519910 ~2001
827078051165415610310 ~2001
827086943165417388710 ~2001
827115677496269406310 ~2002
827117321496270392710 ~2002
827133491165426698310 ~2001
827135063165427012710 ~2001
3482
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25-07-08