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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
7228984331156637492911 ~2002
722899981433739988710 ~2001
722911177433746706310 ~2001
722920283144584056710 ~2000
722971253433782751910 ~2001
723004979144600995910 ~2000
723019211144603842310 ~2000
723024101578419280910 ~2002
723044243144608848710 ~2000
723058571144611714310 ~2000
723109649578487719310 ~2002
7231203971156992635311 ~2002
7231397831157023652911 ~2002
723145079144629015910 ~2000
723150563144630112710 ~2000
723173039144634607910 ~2000
723198383144639676710 ~2000
723214619144642923910 ~2000
723237401433942440710 ~2001
7232403911301832703911 ~2003
723291083144658216710 ~2000
723342611144668522310 ~2000
7233608174629509228911 ~2004
723368183144673636710 ~2000
723378119144675623910 ~2000
Exponent Prime Factor Digits Year
723395591144679118310 ~2000
723409331144681866310 ~2000
723424319144684863910 ~2000
723438539578750831310 ~2002
7234473534051305176911 ~2004
723468503144693700710 ~2000
723482759144696551910 ~2000
7235153332170545999111 ~2003
723556343144711268710 ~2000
723558257434134954310 ~2001
723589931144717986310 ~2000
723617039144723407910 ~2000
723635879144727175910 ~2000
723642851144728570310 ~2000
723665837434199502310 ~2001
723671783144734356710 ~2000
723698819144739763910 ~2000
723718799144743759910 ~2000
723756443144751288710 ~2000
723757271144751454310 ~2000
723759521434255712710 ~2001
723762731144752546310 ~2000
7237647293474070699311 ~2004
723786671144757334310 ~2000
723837599144767519910 ~2000
Exponent Prime Factor Digits Year
7238426271302916728711 ~2003
723842831144768566310 ~2000
723904859144780971910 ~2000
7239063191737375165711 ~2003
723908561434345136710 ~2001
723909863144781972710 ~2000
7239194291592622743911 ~2003
723978179144795635910 ~2000
724008361434405016710 ~2001
724026911144805382310 ~2000
724028171144805634310 ~2000
724094363144818872710 ~2000
724105139144821027910 ~2000
724155671144831134310 ~2000
724158251144831650310 ~2000
72415984710572733766312 ~2005
724192223144838444710 ~2000
724194011144838802310 ~2000
7242015012172604503111 ~2003
724221383144844276710 ~2000
724222511579378008910 ~2002
724227083144845416710 ~2000
724243739144848747910 ~2000
7242542295214630448911 ~2004
724257071144851414310 ~2000
Exponent Prime Factor Digits Year
7242694671883100614311 ~2003
724289729579431783310 ~2002
724292351144858470310 ~2000
724343723144868744710 ~2000
724369883144873976710 ~2000
724381571579505256910 ~2002
724384343144876868710 ~2000
7243864131014140978311 ~2002
724395251144879050310 ~2000
724401971144880394310 ~2000
7244226071159076171311 ~2002
724424699144884939910 ~2000
724431611144886322310 ~2000
724462261434677356710 ~2001
724466027579572821710 ~2002
724477387724477387110 ~2002
724479383144895876710 ~2000
724491707579593365710 ~2002
724567331144913466310 ~2000
724589051144917810310 ~2000
724609559144921911910 ~2000
724653383144930676710 ~2000
724654559144930911910 ~2000
724661579144932315910 ~2000
724673819144934763910 ~2000
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25-04-13