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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
45002763998390005527996712 ~2022
45005020343990010040687912 ~2022
45006978583190013957166312 ~2022
45017727224390035454448712 ~2022
45019323098390038646196712 ~2022
45019781891990039563783912 ~2022
4502831605311521...25947915 2026
4502841470239591...15899115 2026
45030033853190060067706312 ~2022
45030817421990061634843912 ~2022
45031690007990063380015912 ~2022
45033304964390066609928712 ~2022
45036242492390072484984712 ~2022
45037254137990074508275912 ~2022
45038183167190076366334312 ~2022
4503962926691180...67927915 2026
45042767717990085535435912 ~2022
4504633952877928...57051314 2026
45046411297190092822594312 ~2022
45049217029190098434058312 ~2022
4505233087435406...04916114 2026
4505302894215072...88804715 2026
45056567045990113134091912 ~2022
45061767389990123534779912 ~2022
45064020247190128040494312 ~2022
Exponent Prime Factor Dig. Year
45064224320390128448640712 ~2022
45070939610390141879220712 ~2022
45073656265190147312530312 ~2022
45074850703190149701406312 ~2022
45080670739190161341478312 ~2022
45081540013190163080026312 ~2022
45083638973990167277947912 ~2022
45088949384390177898768712 ~2022
4509301297311848...18971115 2026
45095847329990191694659912 ~2022
45096379523990192759047912 ~2022
45100795061990201590123912 ~2022
45102827936390205655872712 ~2022
45106171898390212343796712 ~2022
45106231397990212462795912 ~2022
45109907263190219814526312 ~2022
45111277856390222555712712 ~2022
45111541397990223082795912 ~2022
45121166941190242333882312 ~2022
45122070061190244140122312 ~2022
45128804978390257609956712 ~2022
45129678985190259357970312 ~2022
45131282576390262565152712 ~2022
45131354045990262708091912 ~2022
45138450281990276900563912 ~2022
Exponent Prime Factor Dig. Year
45138955451990277910903912 ~2022
45148599125990297198251912 ~2022
45149866433990299732867912 ~2022
45151225550390302451100712 ~2022
45151392569990302785139912 ~2022
45151569575990303139151912 ~2022
45156500683190313001366312 ~2022
45157990961990315981923912 ~2022
45160191859190320383718312 ~2022
45162008960390324017920712 ~2022
45162721913990325443827912 ~2022
45163453543190326907086312 ~2022
45164276825990328553651912 ~2022
45166589540390333179080712 ~2022
45168301651190336603302312 ~2022
45179325773990358651547912 ~2022
45180394729190360789458312 ~2022
45195273245990390546491912 ~2022
45203845777190407691554312 ~2022
45204323237990408646475912 ~2022
45204565615190409131230312 ~2022
45211238678390422477356712 ~2022
45213157034390426314068712 ~2022
45217930271990435860543912 ~2022
45225954689990451909379912 ~2022
Exponent Prime Factor Dig. Year
45231526658390463053316712 ~2022
45231837505190463675010312 ~2022
45235837795190471675590312 ~2022
45242815357190485630714312 ~2022
45250305575990500611151912 ~2022
45252050407190504100814312 ~2022
45252550939190505101878312 ~2022
45256260715190512521430312 ~2022
45257076907190514153814312 ~2022
45262855118390525710236712 ~2022
45265075901990530151803912 ~2022
45268220605190536441210312 ~2022
45270786227990541572455912 ~2022
45272957639990545915279912 ~2022
45282758743190565517486312 ~2022
45291046081190582092162312 ~2022
45291918983990583837967912 ~2022
45292517876390585035752712 ~2022
45292872200390585744400712 ~2022
45294025892390588051784712 ~2022
45294659005190589318010312 ~2022
45296143411190592286822312 ~2022
45301132303190602264606312 ~2022
45304624289990609248579912 ~2022
45312962630390625925260712 ~2022
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26-03-22