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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
2967948251593589650310 ~2005
2967971999593594399910 ~2005
2968036163593607232710 ~2005
2968170323593634064710 ~2005
2968262399593652479910 ~2005
2968301471593660294310 ~2005
2968331651593666330310 ~2005
2968404479593680895910 ~2005
29685050411781103024711 ~2006
29685941472968594147111 ~2007
2968610999593722199910 ~2005
2968626779593725355910 ~2005
2968677983593735596710 ~2005
2968767863593753572710 ~2005
2969002343593800468710 ~2005
2969019863593803972710 ~2005
2969039471593807894310 ~2005
2969061323593812264710 ~2005
2969145611593829122310 ~2005
2969158271593831654310 ~2005
2969210963593842192710 ~2005
2969231411593846282310 ~2005
2969357483593871496710 ~2005
2969390531593878106310 ~2005
29694118578908235571111 ~2008
Exponent Prime Factor Digits Year
2969412683593882536710 ~2005
29694386574157214119911 ~2007
2969440763593888152710 ~2005
2969750099593950019910 ~2005
2969753711593950742310 ~2005
2969892143593978428710 ~2005
2969938799593987759910 ~2005
2970008771594001754310 ~2005
2970016319594003263910 ~2005
2970091079594018215910 ~2005
2970177131594035426310 ~2005
2970193991594038798310 ~2005
29702289294158320500711 ~2007
29703667811782220068711 ~2006
2970369119594073823910 ~2005
29704223338911266999111 ~2008
29705028675346905160711 ~2007
2970582599594116519910 ~2005
29706751877129620448911 ~2008
2970709103594141820710 ~2005
2970905603594181120710 ~2005
2970970391594194078310 ~2005
29710566912971056691111 ~2007
29711769172376941533711 ~2007
2971207391594241478310 ~2005
Exponent Prime Factor Digits Year
2971308023594261604710 ~2005
29713149597131155901711 ~2008
2971364339594272867910 ~2005
29714111171782846670311 ~2006
2971501811594300362310 ~2005
29715028992971502899111 ~2007
2971556183594311236710 ~2005
2971632203594326440710 ~2005
2971652063594330412710 ~2005
2971733003594346600710 ~2005
29717769715349198547911 ~2007
29718141712377451336911 ~2007
29719347292377547783311 ~2007
29719578411783174704711 ~2006
2972029943594405988710 ~2005
2972072303594414460710 ~2005
2972074463594414892710 ~2005
2972106239594421247910 ~2005
29721094331783265659911 ~2006
2972145311594429062310 ~2005
2972162579594432515910 ~2005
29723241977133578072911 ~2008
29723768934161327650311 ~2007
2972585771594517154310 ~2005
2972610911594522182310 ~2005
Exponent Prime Factor Digits Year
29726139072972613907111 ~2007
29726587392972658739111 ~2007
2972809799594561959910 ~2005
2972926811594585362310 ~2005
2973059003594611800710 ~2005
2973070403594614080710 ~2005
2973090023594618004710 ~2005
29731894372378551549711 ~2007
29732246211783934772711 ~2006
29732481411783948884711 ~2006
2973264779594652955910 ~2005
29732747275351894508711 ~2007
2973501599594700319910 ~2005
2973519203594703840710 ~2005
29735566134162979258311 ~2007
29736564174163118983911 ~2007
29736724211784203452711 ~2006
2973743771594748754310 ~2005
29737622171784257330311 ~2006
29737984611784279076711 ~2006
2973823343594764668710 ~2005
2973873839594774767910 ~2005
2973965831594793166310 ~2005
2974074143594814828710 ~2005
2974085711594817142310 ~2005
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26-09-27