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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
87012445431740248908711 ~2009
870188140313923010244912 ~2011
87025068591740501371911 ~2009
87028450431740569008711 ~2009
870295816920887099605712 ~2011
87032836911740656738311 ~2009
87037850096963028007311 ~2010
87040257831740805156711 ~2009
870430052322631181359912 ~2011
87045516231740910324711 ~2009
87046421516963713720911 ~2010
87049132191740982643911 ~2009
87053025831741060516711 ~2009
87053294391741065887911 ~2009
87053974038705397403111 ~2010
870569873915670257730312 ~2011
87057952575223477154311 ~2010
87059756516964780520911 ~2010
87060277791741205555911 ~2009
87063242816965059424911 ~2010
87066580676965326453711 ~2010
87071973711741439474311 ~2009
87073144796965851583311 ~2010
87075063975224503838311 ~2010
87076817276966145381711 ~2010
Exponent Prime Factor Dig. Year
87077681031741553620711 ~2009
87080249935224814995911 ~2010
870882064313934113028912 ~2011
87090650031741813000711 ~2009
87094951431741899028711 ~2009
87095937231741918744711 ~2009
870981375726129441271112 ~2012
87098826615225929596711 ~2010
87099891116967991288911 ~2010
87101368916968109512911 ~2010
87103256391742065127911 ~2009
87103355631742067112711 ~2009
871067257712194941607912 ~2011
87110577831742211556711 ~2009
87116832231742336644711 ~2009
87117589998711758999111 ~2010
87118415775227104946311 ~2010
87121991031742439820711 ~2009
87122135511742442710311 ~2009
87145991991742919839911 ~2009
87148874598714887459111 ~2010
87149208711742984174311 ~2009
87153476031743069520711 ~2009
87155286231743105724711 ~2009
87157621191743152423911 ~2009
Exponent Prime Factor Dig. Year
87162528711743250574311 ~2009
87165003798716500379111 ~2010
87167191311743343826311 ~2009
87175208631743504172711 ~2009
87175913838717591383111 ~2010
87176030391743520607911 ~2009
87176737191743534743911 ~2009
871846321122668004348712 ~2011
87189946431743798928711 ~2009
87194194796975535583311 ~2010
87194766591743895331911 ~2009
87198361791743967235911 ~2009
87204959991744099199911 ~2009
87207849375232470962311 ~2010
87211835631744236712711 ~2009
87216140031744322800711 ~2009
87218570415233114224711 ~2010
87220206896977616551311 ~2010
87226935711744538714311 ~2009
87235288975234117338311 ~2010
87236402391744728047911 ~2009
87236512911744730258311 ~2009
87240258111744805162311 ~2009
87240879416979270352911 ~2010
87243305991744866119911 ~2009
Exponent Prime Factor Dig. Year
87245918031744918360711 ~2009
87248987511744979750311 ~2009
87249861111744997222311 ~2009
87252720711745054414311 ~2009
87253747191745074943911 ~2009
872549863319196096992712 ~2011
87258346935235500815911 ~2010
87260487831745209756711 ~2009
87263377311745267546311 ~2009
87266306511745326130311 ~2009
87266933991745338679911 ~2009
87270566991745411339911 ~2009
87277804935236668295911 ~2010
87284996031745699920711 ~2009
87291979575237518774311 ~2010
87294074935237644495911 ~2010
87295124391745902487911 ~2009
87302297511746045950311 ~2009
87307832631746156652711 ~2009
87308737791746174755911 ~2009
87312503575238750214311 ~2010
87313732791746274655911 ~2009
87316739391746334787911 ~2009
873222623312225116726312 ~2011
87325996191746519923911 ~2009
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