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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
841244231168248846310 ~2001
841260551168252110310 ~2001
841269929673015943310 ~2002
841282103168256420710 ~2001
841283699168256739910 ~2001
841285499168257099910 ~2001
841285937504771562310 ~2002
841332781504799668710 ~2002
841344431168268886310 ~2001
841358807673087045710 ~2002
8413969492692470236911 ~2004
841422299168284459910 ~2001
841426057504855634310 ~2002
841462019168292403910 ~2001
841464779168292955910 ~2001
841494539673195631310 ~2002
841523003168304600710 ~2001
84152310113969283476712 ~2005
841530419168306083910 ~2001
8415745492524723647111 ~2004
841574603168314920710 ~2001
841576033504945619910 ~2002
841584059168316811910 ~2001
841595459168319091910 ~2001
84159655712623948355112 ~2005
Exponent Prime Factor Digits Year
841604651168320930310 ~2001
841630703168326140710 ~2001
8416500972019960232911 ~2003
841686731168337346310 ~2001
841714283168342856710 ~2001
841727951168345590310 ~2001
841754057505052434310 ~2002
841758479168351695910 ~2001
841833253505099951910 ~2002
841853891168370778310 ~2001
841885403168377080710 ~2001
841902623168380524710 ~2001
841907483168381496710 ~2001
841919087673535269710 ~2002
841927861505156716710 ~2002
8419304691178702656711 ~2003
841966571168393314310 ~2001
841976483168395296710 ~2001
841985999168397199910 ~2001
8419967471347194795311 ~2003
842009963168401992710 ~2001
842020633505212379910 ~2002
842027413505216447910 ~2002
842032391168406478310 ~2001
842034491168406898310 ~2001
Exponent Prime Factor Digits Year
842113091168422618310 ~2001
8421200896063264640911 ~2005
842184061505310436710 ~2002
842195171168439034310 ~2001
842219723168443944710 ~2001
842232299168446459910 ~2001
842245979168449195910 ~2001
842259779168451955910 ~2001
842267183168453436710 ~2001
842267999168453599910 ~2001
842268611168453722310 ~2001
842270963168454192710 ~2001
8422854294548341316711 ~2004
84230170944978911260712 ~2007
842317643168463528710 ~2001
842326679168465335910 ~2001
842370131168474026310 ~2001
842381087673904869710 ~2002
842399401505439640710 ~2002
842414711168482942310 ~2001
842426171168485234310 ~2001
842430059168486011910 ~2001
8424403974717666223311 ~2004
842466253505479751910 ~2002
842487791168497558310 ~2001
Exponent Prime Factor Digits Year
8425115417414101560911 ~2005
842527151168505430310 ~2001
8425290472022069712911 ~2003
842539283168507856710 ~2001
842546501505527900710 ~2002
842546951168509390310 ~2001
842553191168510638310 ~2001
842554991168510998310 ~2001
8425660272864724491911 ~2004
8425676411348108225711 ~2003
842588111168517622310 ~2001
842588563842588563110 ~2002
842593259168518651910 ~2001
842631131168526226310 ~2001
842672587842672587110 ~2002
842680691168536138310 ~2001
842707991168541598310 ~2001
842728877505637326310 ~2002
842755223168551044710 ~2001
842763851168552770310 ~2001
842764691168552938310 ~2001
842779319168555863910 ~2001
842819819168563963910 ~2001
8428394773877061594311 ~2004
842874731168574946310 ~2001
3507
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25-07-20