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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
9938871492186551727911 ~2004
993903719198780743910 ~2001
993924493596354695910 ~2002
993928343198785668710 ~2001
993932111198786422310 ~2001
993979121596387472710 ~2002
993998893596399335910 ~2002
9940185479741381760711 ~2005
994036331198807266310 ~2001
994056863198811372710 ~2001
994075919198815183910 ~2001
994088831198817766310 ~2001
994117991198823598310 ~2001
994118003198823600710 ~2001
994130519198826103910 ~2001
99416464310538145215912 ~2005
994192307795353845710 ~2003
994199873596519923910 ~2002
994210163198842032710 ~2001
994217051198843410310 ~2001
994225181596535108710 ~2002
994264163198852832710 ~2001
994284311198856862310 ~2001
994300469795440375310 ~2003
994337581596602548710 ~2002
Exponent Prime Factor Digits Year
994338479198867695910 ~2001
994374263198874852710 ~2001
994411777596647066310 ~2002
994502987795602389710 ~2003
994575929795660743310 ~2003
994594943198918988710 ~2001
994605611198921122310 ~2001
994627919198925583910 ~2001
994678523198935704710 ~2001
994713803198942760710 ~2001
994732597596839558310 ~2002
994749251198949850310 ~2001
994761923198952384710 ~2001
994771451198954290310 ~2001
994778107994778107110 ~2003
994803011198960602310 ~2001
994833271994833271110 ~2003
994855577596913346310 ~2002
994862279198972455910 ~2001
994898543198979708710 ~2001
994929059198985811910 ~2001
9949585516566726436711 ~2005
994981439198996287910 ~2001
995030137597018082310 ~2002
995038097796030477710 ~2003
Exponent Prime Factor Digits Year
995058563199011712710 ~2001
995065481597039288710 ~2002
995077679199015535910 ~2001
995079979995079979110 ~2003
995125223199025044710 ~2001
995127863199025572710 ~2001
995135591199027118310 ~2001
995150459199030091910 ~2001
995156213597093727910 ~2002
995156639199031327910 ~2001
9952052297165477648911 ~2005
995228879199045775910 ~2001
995272511199054502310 ~2001
995273039199054607910 ~2001
995312579199062515910 ~2001
995313563199062712710 ~2001
995324441597194664710 ~2002
995335219995335219110 ~2003
995363197597217918310 ~2002
995363543199072708710 ~2001
995392511199078502310 ~2001
995426171199085234310 ~2001
995427263199085452710 ~2001
995435711199087142310 ~2001
995448263199089652710 ~2001
Exponent Prime Factor Digits Year
995451503199090300710 ~2001
995489483199097896710 ~2001
9954896471592783435311 ~2003
995499083199099816710 ~2001
995520611199104122310 ~2001
995576819199115363910 ~2001
9955787997964630392111 ~2005
995596919199119383910 ~2001
995614523199122904710 ~2001
995630123199126024710 ~2001
995647811199129562310 ~2001
995651711199130342310 ~2001
995658623199131724710 ~2001
995671811199134362310 ~2001
995731109796584887310 ~2003
995742673597445603910 ~2002
995743271199148654310 ~2001
995756609796605287310 ~2003
9957596717169469631311 ~2005
995770619199154123910 ~2001
995776511199155302310 ~2001
995777039199155407910 ~2001
995787011199157402310 ~2001
995789279199157855910 ~2001
995796671199159334310 ~2001
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25-05-04