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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
722130599144426119910 ~2000
722138113433282867910 ~2001
722162017433297210310 ~2001
722220311144444062310 ~2000
7222418412166725523111 ~2003
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
Exponent Prime Factor Digits Year
722487119144497423910 ~2000
722489771577991816910 ~2002
722501051144500210310 ~2000
722518679144503735910 ~2000
722559251144511850310 ~2000
722582519144516503910 ~2000
722603951144520790310 ~2000
722614883144522976710 ~2000
722620763144524152710 ~2000
722624471144524894310 ~2000
722646143144529228710 ~2000
722652083144530416710 ~2000
722676719144535343910 ~2000
722678111144535622310 ~2000
722721143144544228710 ~2000
722724539144544907910 ~2000
722728211144545642310 ~2000
722744303144548860710 ~2000
722751959144550391910 ~2000
722753243144550648710 ~2000
722759399144551879910 ~2000
722763659144552731910 ~2000
722766851144553370310 ~2000
722771531144554306310 ~2000
722782883144556576710 ~2000
Exponent Prime Factor Digits Year
722789519144557903910 ~2000
722810831144562166310 ~2000
722815823144563164710 ~2000
7228165131011943118311 ~2002
722821919144564383910 ~2000
722822531144564506310 ~2000
722830679144566135910 ~2000
722841661433704996710 ~2001
722844371144568874310 ~2000
7228984331156637492911 ~2002
722899981433739988710 ~2001
722911177433746706310 ~2001
722920283144584056710 ~2000
722971253433782751910 ~2001
723004979144600995910 ~2000
723019211144603842310 ~2000
723024101578419280910 ~2002
723031583144606316710 ~2000
723044243144608848710 ~2000
723058571144611714310 ~2000
723071603144614320710 ~2000
723109649578487719310 ~2002
7231203971156992635311 ~2002
7231397831157023652911 ~2002
723145079144629015910 ~2000
Exponent Prime Factor Digits Year
723150563144630112710 ~2000
723173039144634607910 ~2000
723198383144639676710 ~2000
723214619144642923910 ~2000
723237401433942440710 ~2001
7232403911301832703911 ~2003
723291083144658216710 ~2000
723331811144666362310 ~2000
723342611144668522310 ~2000
7233608174629509228911 ~2004
723368183144673636710 ~2000
723378119144675623910 ~2000
723395591144679118310 ~2000
723409331144681866310 ~2000
723424319144684863910 ~2000
723438539578750831310 ~2002
7234473534051305176911 ~2004
723468503144693700710 ~2000
723482759144696551910 ~2000
7235153332170545999111 ~2003
723556343144711268710 ~2000
723558257434134954310 ~2001
723589931144717986310 ~2000
723612443144722488710 ~2000
723617039144723407910 ~2000
3565
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25-11-02