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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
919788251183957650310 ~2001
9198091395886778489711 ~2005
919813091183962618310 ~2001
919822511183964502310 ~2001
919844231183968846310 ~2001
919846451183969290310 ~2001
919847711183969542310 ~2001
919860317735888253710 ~2002
919874783183974956710 ~2001
919875779183975155910 ~2001
9199145711655846227911 ~2003
919926251183985250310 ~2001
9199282397543411559911 ~2005
919975061551985036710 ~2002
920033711184006742310 ~2001
920041931184008386310 ~2001
920056211184011242310 ~2001
920094011184018802310 ~2001
9201244871472199179311 ~2003
920160779184032155910 ~2001
920191439184038287910 ~2001
920194441552116664710 ~2002
920204039184040807910 ~2001
920217983184043596710 ~2001
920258039184051607910 ~2001
Exponent Prime Factor Digits Year
920269319184053863910 ~2001
920293379736234703310 ~2002
920320139184064027910 ~2001
920326811184065362310 ~2001
920327231184065446310 ~2001
920333483184066696710 ~2001
920364443184072888710 ~2001
920369591184073918310 ~2001
920386763184077352710 ~2001
920401633552240979910 ~2002
920422031184084406310 ~2001
920447123184089424710 ~2001
9204637814418226148911 ~2004
920467811184093562310 ~2001
9204781218100207464911 ~2005
9204900292945568092911 ~2004
920508119184101623910 ~2001
9205309372209274248911 ~2004
920581583184116316710 ~2001
920595983184119196710 ~2001
920626391184125278310 ~2001
920629511184125902310 ~2001
920638919184127783910 ~2001
9207455233130534778311 ~2004
920753579184150715910 ~2001
Exponent Prime Factor Digits Year
920795411184159082310 ~2001
920814143184162828710 ~2001
920819183184163836710 ~2001
9208208392946626684911 ~2004
920861891184172378310 ~2001
920874371184174874310 ~2001
920881883184176376710 ~2001
920882999184176599910 ~2001
920883503184176700710 ~2001
920888497552533098310 ~2002
920910911184182182310 ~2001
920950379184190075910 ~2001
920978021736782416910 ~2002
920988143184197628710 ~2001
921000911184200182310 ~2001
921018661552611196710 ~2002
92102524317683684665712 ~2006
921031739184206347910 ~2001
921037031184207406310 ~2001
921045623184209124710 ~2001
921075671184215134310 ~2001
921085181552651108710 ~2002
921103957552662374310 ~2002
921157931184231586310 ~2001
921158879184231775910 ~2001
Exponent Prime Factor Digits Year
921234179184246835910 ~2001
921250277552750166310 ~2002
921252551184250510310 ~2001
921257279184251455910 ~2001
921270263184254052710 ~2001
921290341552774204710 ~2002
921340691184268138310 ~2001
921366419184273283910 ~2001
921408317552844990310 ~2002
921412421552847452710 ~2002
921442469737153975310 ~2002
921449519184289903910 ~2001
921458099184291619910 ~2001
921473783184294756710 ~2001
921482711737186168910 ~2002
921498707737198965710 ~2002
921503519184300703910 ~2001
921555101552933060710 ~2002
921573137552943882310 ~2002
9215828414239281068711 ~2004
921619571184323914310 ~2001
921627419184325483910 ~2001
921679043184335808710 ~2001
921702731184340546310 ~2001
921726583921726583110 ~2003
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25-04-13