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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 Dig. Year
72635474631452709492711 ~2008
72636288711452725774311 ~2008
726366856717432804560912 ~2011
72638679111452773582311 ~2008
726424643310169945006312 ~2010
72646559695811724775311 ~2009
72648512391452970247911 ~2008
72649572231452991444711 ~2008
72649737014358984220711 ~2009
72651190334359071419911 ~2009
726515199113077273583912 ~2010
72651620391453032407911 ~2008
72652753311453055066311 ~2008
72653086134359185167911 ~2009
72653332791453066655911 ~2008
726546805113077842491912 ~2010
72655022391453100447911 ~2008
72659394231453187884711 ~2008
72660125031453202500711 ~2008
726657427710173203987912 ~2010
72665760711453315214311 ~2008
72668121591453362431911 ~2008
72671419191453428383911 ~2008
72671964111453439282311 ~2008
72672019191453440383911 ~2008
Exponent Prime Factor Dig. Year
72674835711453496714311 ~2008
72678815031453576300711 ~2008
726801138111628818209712 ~2010
72685589534361135371911 ~2009
72687322915814985832911 ~2009
72687814911453756298311 ~2008
72691144911453822898311 ~2008
72692172134361530327911 ~2009
72693129711453862594311 ~2008
72696643615815731488911 ~2009
72697413831453948276711 ~2008
72698333391453966667911 ~2008
72698518934361911135911 ~2009
72699910974361994658311 ~2009
72699964911453999298311 ~2008
72700288191454005763911 ~2008
72701372391454027447911 ~2008
72704121831454082436711 ~2008
72704593311454091866311 ~2008
72705196915816415752911 ~2009
727087727917450105469712 ~2011
72710908311454218166311 ~2008
72712062591454241251911 ~2008
72713310974362798658311 ~2009
72717115431454342308711 ~2008
Exponent Prime Factor Dig. Year
72717479695817398375311 ~2009
72722116191454442323911 ~2008
72723178315817854264911 ~2009
72724423191454488463911 ~2008
72728538111454570762311 ~2008
72730006431454600128711 ~2008
72730201191454604023911 ~2008
72733574391454671487911 ~2008
72736310031454726200711 ~2008
72737674974364260498311 ~2009
727412856724732037127912 ~2011
72743930991454878619911 ~2008
727451294318913733651912 ~2011
72747401574364844094311 ~2009
72751367695820109415311 ~2009
727515604145105967454312 ~2012
72752928831455058576711 ~2008
72753559574365213574311 ~2009
727570057311641120916912 ~2010
727604578917462509893712 ~2011
727656846121829705383112 ~2011
72766346631455326932711 ~2008
727739384353852714438312 ~2012
72774519711455490394311 ~2008
727748040111643968641712 ~2010
Exponent Prime Factor Dig. Year
72775852517277585251111 ~2010
72779095911455581918311 ~2008
72779790831455595816711 ~2008
72779854974366791298311 ~2009
72782052831455641056711 ~2008
72788675214367320512711 ~2009
72789078711455781574311 ~2008
72790520031455810400711 ~2008
72797961014367877660711 ~2009
72800575911456011518311 ~2008
72801758215824140656911 ~2009
72802117615824169408911 ~2009
72802352511456047050311 ~2008
72804774231456095484711 ~2008
72808550534368513031911 ~2009
72813404275825072341711 ~2009
72814209591456284191911 ~2008
72815345631456306912711 ~2008
72819740391456394807911 ~2008
728201321310194818498312 ~2010
72825942711456518854311 ~2008
72826598991456531979911 ~2008
72827559111456551182311 ~2008
72829045934369742755911 ~2009
72829925391456598507911 ~2008
4153
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25-04-13