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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
52902009773174120586311 ~2008
52903046391058060927911 ~2007
52903623773174217426311 ~2008
529039344171949350797712 ~2011
52904042991058080859911 ~2007
52904467791058089355911 ~2007
52909168813174550128711 ~2008
52911355133174681307911 ~2008
529114837113756985764712 ~2010
52913919231058278384711 ~2007
52914980991058299619911 ~2007
52918562631058371252711 ~2007
52918824711058376494311 ~2007
52919381031058387620711 ~2007
52922430978467588955311 ~2009
52922473791058449475911 ~2007
52922492478467598795311 ~2009
529229069916935330236912 ~2010
52927216977409810375911 ~2009
52930674973175840498311 ~2008
52933884591058677691911 ~2007
52934038278469446123311 ~2009
52934566311058691326311 ~2007
52935562311058711246311 ~2007
52936714191058734283911 ~2007
Exponent Prime Factor Dig. Year
52942786791058855735911 ~2007
52943055613176583336711 ~2008
52944292191058885843911 ~2007
52948225791058964515911 ~2007
52949296311058985926311 ~2007
529514360312708344647312 ~2010
52953887173177233230311 ~2008
52954548831059090976711 ~2007
52954706511059094130311 ~2007
52955842191059116843911 ~2007
52956937791059138755911 ~2007
52959069111059181382311 ~2007
52962419274236993541711 ~2008
52963840311059276806311 ~2007
52965507231059310144711 ~2007
52969386231059387724711 ~2007
52970868774237669501711 ~2008
52971287991059425759911 ~2007
52973784591059475691911 ~2007
52977397431059547948711 ~2007
52980779511059615590311 ~2007
52982397773178943866311 ~2008
52983549831059670996711 ~2007
52983555897417697824711 ~2009
52990493773179429626311 ~2008
Exponent Prime Factor Dig. Year
529961848116958779139312 ~2010
52997598231059951964711 ~2007
53000196315300019631111 ~2009
53002733337420382666311 ~2009
53007670911060153418311 ~2007
53009736594240778927311 ~2008
53010399111060207982311 ~2007
53011912933180714775911 ~2008
53012464791060249295911 ~2007
53018020431060360408711 ~2007
530180551912724333245712 ~2010
530188988312724535719312 ~2010
53019985431060399708711 ~2007
53020165431060403308711 ~2007
53020488897422868444711 ~2009
53030312573181818754311 ~2008
53031424311060628486311 ~2007
53032963431060659268711 ~2007
530339330925456287883312 ~2010
53035149013182108940711 ~2008
53036013618485762177711 ~2009
53037312111060746242311 ~2007
53037872991060757459911 ~2007
53039295294243143623311 ~2008
53044034773182642086311 ~2008
Exponent Prime Factor Dig. Year
53045106413182706384711 ~2008
53045256414243620512911 ~2008
530475046912731401125712 ~2010
53048921991060978439911 ~2007
530589869316978875817712 ~2010
53059245831061184916711 ~2007
53059765311061195306311 ~2007
53060322711061206454311 ~2007
530614663125469503828912 ~2010
53066800791061336015911 ~2007
53067301813184038108711 ~2008
53068070391061361407911 ~2007
53069970413184198224711 ~2008
53070347031061406940711 ~2007
53070513414245641072911 ~2008
53071408038491425284911 ~2009
53073669591061473391911 ~2007
53074447333184466839911 ~2008
53075126031061502520711 ~2007
53076540831061530816711 ~2007
53080418031061608360711 ~2007
53080953075308095307111 ~2009
53082378711061647574311 ~2007
53082823791061656475911 ~2007
53083431294246674503311 ~2008
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25-04-13