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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
721436951144287390310 ~2000
721451651144290330310 ~2000
721472183144294436710 ~2000
721474751144294950310 ~2000
721520903144304180710 ~2000
721527421432916452710 ~2001
721536239144307247910 ~2000
721543799144308759910 ~2000
721554863144310972710 ~2000
721557059144311411910 ~2000
721571057577256845710 ~2002
7215763792309044412911 ~2003
72161948933338820391912 2006
721626071144325214310 ~2000
7216488011154638081711 ~2002
721654237432992542310 ~2001
721666727577333381710 ~2002
721676603144335320710 ~2000
721708781577367024910 ~2002
721711499577369199310 ~2002
721736219144347243910 ~2000
721767983144353596710 ~2000
721770323144354064710 ~2000
721770671144354134310 ~2000
721790603144358120710 ~2000
Exponent Prime Factor Digits Year
721803683144360736710 ~2000
7218179393031635343911 ~2003
7218187676496368903111 ~2004
721839119144367823910 ~2000
721848887577479109710 ~2002
721878623144375724710 ~2000
721885993433131595910 ~2001
721893251144378650310 ~2000
721899011144379802310 ~2000
721903943144380788710 ~2000
721919357433151614310 ~2001
721920863144384172710 ~2000
721938551144387710310 ~2000
721957823144391564710 ~2000
721965659144393131910 ~2000
721969273433181563910 ~2001
722002657433201594310 ~2001
722040083144408016710 ~2000
722054051144410810310 ~2000
722098843722098843110 ~2002
722130599144426119910 ~2000
722138113433282867910 ~2001
722162017433297210310 ~2001
722220311144444062310 ~2000
7222418412166725523111 ~2003
Exponent Prime Factor Digits Year
722265457433359274310 ~2001
722266739144453347910 ~2000
722275283144455056710 ~2000
722288453433373071910 ~2001
722343959144468791910 ~2000
722354999144470999910 ~2000
722355247722355247110 ~2002
722363441433418064710 ~2001
722368379144473675910 ~2000
7223806131733713471311 ~2003
722405231144481046310 ~2000
722410477433446286310 ~2001
722414183144482836710 ~2000
722415443144483088710 ~2000
722430491144486098310 ~2000
722443919144488783910 ~2000
722462171144492434310 ~2000
722469959144493991910 ~2000
7224813671155970187311 ~2002
722484803144496960710 ~2000
722487119144497423910 ~2000
722489771577991816910 ~2002
722501051144500210310 ~2000
722518679144503735910 ~2000
722559251144511850310 ~2000
Exponent Prime Factor Digits Year
722582519144516503910 ~2000
722603951144520790310 ~2000
722614883144522976710 ~2000
722624471144524894310 ~2000
722646143144529228710 ~2000
722652083144530416710 ~2000
722676719144535343910 ~2000
722678111144535622310 ~2000
722721143144544228710 ~2000
722724539144544907910 ~2000
722728211144545642310 ~2000
722744303144548860710 ~2000
722751959144550391910 ~2000
722759399144551879910 ~2000
722763659144552731910 ~2000
722766851144553370310 ~2000
722771531144554306310 ~2000
722782883144556576710 ~2000
722789519144557903910 ~2000
722815823144563164710 ~2000
722821919144564383910 ~2000
722822531144564506310 ~2000
722830679144566135910 ~2000
722841661433704996710 ~2001
722844371144568874310 ~2000
3325
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25-04-13