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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
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
842466253505479751910 ~2002
8425115417414101560911 ~2005
842527151168505430310 ~2001
8425290472022069712911 ~2003
842539283168507856710 ~2001
842546501505527900710 ~2002
842546951168509390310 ~2001
842553191168510638310 ~2001
842554991168510998310 ~2001
8425660272864724491911 ~2004
8425676411348108225711 ~2003
842588111168517622310 ~2001
Exponent Prime Factor Digits Year
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
842895863168579172710 ~2001
842903111168580622310 ~2001
842961059674368847310 ~2002
842965439168593087910 ~2001
842970599168594119910 ~2001
842991491168598298310 ~2001
843006743168601348710 ~2001
843066971674453576910 ~2002
843088019168617603910 ~2001
843089651168617930310 ~2001
8430994971180339295911 ~2003
Exponent Prime Factor Digits Year
843100991168620198310 ~2001
843104701505862820710 ~2002
843107663168621532710 ~2001
843138371168627674310 ~2001
843144101674515280910 ~2002
843159671168631934310 ~2001
843199397505919638310 ~2002
843205747843205747110 ~2002
8432115171180496123911 ~2003
843219869674575895310 ~2002
843230471168646094310 ~2001
843244799168648959910 ~2001
843258263168651652710 ~2001
843264731168652946310 ~2001
843291863168658372710 ~2001
843340559168668111910 ~2001
8433634191518054154311 ~2003
843398651168679730310 ~2001
843433141506059884710 ~2002
8434382411349501185711 ~2003
843441779168688355910 ~2001
843457691168691538310 ~2001
843470783168694156710 ~2001
843514439168702887910 ~2001
843555599168711119910 ~2001
Exponent Prime Factor Digits Year
843637139168727427910 ~2001
843637397674909917710 ~2002
843651491168730298310 ~2001
843656711168731342310 ~2001
843677771168735554310 ~2001
843697691168739538310 ~2001
843703397674962717710 ~2002
843704639168740927910 ~2001
843716339168743267910 ~2001
843717053506230231910 ~2002
8437474615231234258311 ~2004
843813851168762770310 ~2001
843823283168764656710 ~2001
843834599168766919910 ~2001
843836291168767258310 ~2001
843855203168771040710 ~2001
843872999168774599910 ~2001
8438875814050660388911 ~2004
843919663843919663110 ~2002
843929171168785834310 ~2001
843938759168787751910 ~2001
843940739168788147910 ~2001
843947939675158351310 ~2002
843967199168793439910 ~2001
843989651168797930310 ~2001
3414
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25-05-04