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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
701350679140270135910 ~2000
701373719140274743910 ~2000
701376419140275283910 ~2000
701378591140275718310 ~2000
701379323140275864710 ~2000
701379443140275888710 ~2000
701406821561125456910 ~2002
7014221992945973235911 ~2003
701426051140285210310 ~2000
701459959701459959110 ~2002
701473631140294726310 ~2000
701499833420899899910 ~2001
701505887561204709710 ~2002
701516999140303399910 ~2000
701519303140303860710 ~2000
701519771140303954310 ~2000
701556623140311324710 ~2000
701564459140312891910 ~2000
701593499140318699910 ~2000
701596799140319359910 ~2000
701598119140319623910 ~2000
701657111140331422310 ~2000
701671031140334206310 ~2000
701672651140334530310 ~2000
701675993421005595910 ~2001
Exponent Prime Factor Digits Year
701700071140340014310 ~2000
701715719140343143910 ~2000
701735849561388679310 ~2002
701738183140347636710 ~2000
701831159140366231910 ~2000
701841911140368382310 ~2000
701855279140371055910 ~2000
701865959140373191910 ~2000
701869979140373995910 ~2000
701901271701901271110 ~2002
701949067701949067110 ~2002
701951021421170612710 ~2001
701952983140390596710 ~2000
701978831140395766310 ~2000
701990407701990407110 ~2002
7019938811544386538311 ~2003
702022439140404487910 ~2000
702030839140406167910 ~2000
702038191702038191110 ~2002
702058991140411798310 ~2000
702071939140414387910 ~2000
7020768911123323025711 ~2002
702098651140419730310 ~2000
70218550713622398835912 ~2005
702188243140437648710 ~2000
Exponent Prime Factor Digits Year
702211883140442376710 ~2000
7022130491685311317711 ~2003
702223079140444615910 ~2000
702228311140445662310 ~2000
702257767702257767110 ~2002
702257789561806231310 ~2002
702283289983196604710 ~2002
702302053421381231910 ~2001
702344459140468891910 ~2000
702347693421408615910 ~2001
702463799140492759910 ~2000
702474959140494991910 ~2000
702482699140496539910 ~2000
702509063140501812710 ~2000
702530341421518204710 ~2001
702540791140508158310 ~2000
702547061421528236710 ~2001
702548177562038541710 ~2002
7025539195198899000711 ~2004
702601561421560936710 ~2001
702615299140523059910 ~2000
702617609562094087310 ~2002
702621221562096976910 ~2002
702632291140526458310 ~2000
702636923140527384710 ~2000
Exponent Prime Factor Digits Year
702638093421582855910 ~2001
702662231140532446310 ~2000
702677291140535458310 ~2000
702678923140535784710 ~2000
702723083140544616710 ~2000
702726047562180837710 ~2002
7027485231827146159911 ~2003
702759143140551828710 ~2000
702773471140554694310 ~2000
702803063140560612710 ~2000
702822383140564476710 ~2000
702854219140570843910 ~2000
702862931140572586310 ~2000
702879497984031295910 ~2002
702900311140580062310 ~2000
7029199071687007776911 ~2003
702926459140585291910 ~2000
702934223140586844710 ~2000
702937883140587576710 ~2000
702949823140589964710 ~2000
702973163140594632710 ~2000
703082543140616508710 ~2000
7031106431124977028911 ~2002
703110899140622179910 ~2000
703118231140623646310 ~2000
3413
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25-07-08