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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
2731042823546208564710 ~2005
2731113263546222652710 ~2005
27312550131638753007911 ~2006
2731325423546265084710 ~2005
2731488971546297794310 ~2005
2731806659546361331910 ~2005
27318337218195501163111 ~2008
2732016191546403238310 ~2005
27320554192185644335311 ~2006
27320566611639233996711 ~2006
27320896371639253782311 ~2006
2732102063546420412710 ~2005
2732103431546420686310 ~2005
2732131331546426266310 ~2005
2732138891546427778310 ~2005
2732149163546429832710 ~2005
2732191691546438338310 ~2005
2732229371546445874310 ~2005
2732250959546450191910 ~2005
27323112971639386778311 ~2006
2732359823546471964710 ~2005
27325275171639516510311 ~2006
27325282731639516963911 ~2006
2732600831546520166310 ~2005
27326397312732639731111 ~2006
Exponent Prime Factor Digits Year
27327255312732725531111 ~2006
273279682317489899667312 ~2008
2733055271546611054310 ~2005
273306931911478891139912 ~2008
2733132371546626474310 ~2005
27331376212186510096911 ~2006
2733204983546640996710 ~2005
2733226283546645256710 ~2005
2733341531546668306310 ~2005
2733398663546679732710 ~2005
27334219198746950140911 ~2008
2733560099546712019910 ~2005
2733689891546737978310 ~2005
2733885383546777076710 ~2005
2733927923546785584710 ~2005
2733977399546795479910 ~2005
2734017263546803452710 ~2005
27341802131640508127911 ~2006
2734183223546836644710 ~2005
2734197731546839546310 ~2005
2734277519546855503910 ~2005
2734350683546870136710 ~2005
27344295611640657736711 ~2006
2734455959546891191910 ~2005
2734556771546911354310 ~2005
Exponent Prime Factor Digits Year
2734649399546929879910 ~2005
2734796279546959255910 ~2005
27348008211640880492711 ~2006
2734859903546971980710 ~2005
27348992538204697759111 ~2008
27349392131640963527911 ~2006
2734983263546996652710 ~2005
2734997819546999563910 ~2005
2735069411547013882310 ~2005
2735138111547027622310 ~2005
2735145863547029172710 ~2005
2735166683547033336710 ~2005
27353486531641209191911 ~2006
2735353139547070627910 ~2005
2735374223547074844710 ~2005
273543007761273633724912 ~2010
27354826012188386080911 ~2006
2735574659547114931910 ~2005
2735620991547124198310 ~2005
2735624231547124846310 ~2005
2735666123547133224710 ~2005
2735743931547148786310 ~2005
2735761799547152359910 ~2005
27357830092188626407311 ~2006
27358114336018785152711 ~2007
Exponent Prime Factor Digits Year
2735914211547182842310 ~2005
27359833571641590014311 ~2006
2736118523547223704710 ~2005
2736130139547226027910 ~2005
2736368711547273742310 ~2005
2736420143547284028710 ~2005
273645726124080823896912 ~2009
27364940512189195240911 ~2006
2736512039547302407910 ~2005
2736594923547318984710 ~2005
2736673763547334752710 ~2005
27367639992736763999111 ~2006
27368788216021133406311 ~2007
27369799971642187998311 ~2006
27369860931642191655911 ~2006
27370443076568906336911 ~2007
27370887731642253263911 ~2006
27371148411642268904711 ~2006
27371773672189741893711 ~2006
2737188851547437770310 ~2005
2737226879547445375910 ~2005
2737351559547470311910 ~2005
273738248914781865440712 ~2008
2737546943547509388710 ~2005
27375583792190046703311 ~2006
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25-11-17