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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
702347693421408615910 ~2001
702393751702393751110 ~2002
702463799140492759910 ~2000
7024697713371854900911 ~2003
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
702638093421582855910 ~2001
702662231140532446310 ~2000
702677291140535458310 ~2000
702678923140535784710 ~2000
702723083140544616710 ~2000
7027485231827146159911 ~2003
702759143140551828710 ~2000
Exponent Prime Factor Digits Year
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
703045751140609150310 ~2000
703082543140616508710 ~2000
7031106431124977028911 ~2002
703110899140622179910 ~2000
703118231140623646310 ~2000
703121957984370739910 ~2002
703173323140634664710 ~2000
703177679140635535910 ~2000
703215143140643028710 ~2000
703246283140649256710 ~2000
703254743140650948710 ~2000
703277171140655434310 ~2000
Exponent Prime Factor Digits Year
703297319140659463910 ~2000
7033159994079232794311 ~2004
703360321422016192710 ~2001
703395989562716791310 ~2002
7034058112250898595311 ~2003
703415591140683118310 ~2000
703418543140683708710 ~2000
703423751140684750310 ~2000
7034297632250975241711 ~2003
703485179140697035910 ~2000
703487111140697422310 ~2000
703508171140701634310 ~2000
703509689562807751310 ~2002
703524131140704826310 ~2000
703540919140708183910 ~2000
703589651140717930310 ~2000
703592063140718412710 ~2000
703603619140720723910 ~2000
703607291140721458310 ~2000
703639439140727887910 ~2000
703641163703641163110 ~2002
703643417985100783910 ~2002
703666217422199730310 ~2001
7036672871266601116711 ~2002
703676591140735318310 ~2000
Exponent Prime Factor Digits Year
703688113422212867910 ~2001
703701143140740228710 ~2000
703712039140742407910 ~2000
703713617422228170310 ~2001
703721099140744219910 ~2000
703738499140747699910 ~2000
703754939140750987910 ~2000
703759697422255818310 ~2001
703759933422255959910 ~2001
7037726271689054304911 ~2003
703792703140758540710 ~2000
703795199140759039910 ~2000
703809257422285554310 ~2001
7038100673378288321711 ~2003
703814677422288806310 ~2001
7038250791266885142311 ~2002
7038473291689233589711 ~2003
703872083140774416710 ~2000
703888151140777630310 ~2000
703896419563117135310 ~2002
703899611563119688910 ~2002
703908497422345098310 ~2001
703918679140783735910 ~2000
7039187511267053751911 ~2002
703924271140784854310 ~2000
3568
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25-11-17