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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
25809193011548551580711 ~2006
2580935543516187108710 ~2005
2581070351516214070310 ~2005
2581188899516237779910 ~2005
25811890192064951215311 ~2006
2581190063516238012710 ~2005
2581216223516243244710 ~2005
2581371311516274262310 ~2005
25814763897744429167111 ~2007
2581676459516335291910 ~2005
2581699091516339818310 ~2005
25817004131549020247911 ~2006
2581703339516340667910 ~2005
2581749959516349991910 ~2005
2581887263516377452710 ~2005
25819091811549145508711 ~2006
25819458131549167487911 ~2006
2582158259516431651910 ~2005
25821875411549312524711 ~2006
2582335919516467183910 ~2005
2582341343516468268710 ~2005
25825033331549501999911 ~2006
25825171733615524042311 ~2007
2582619491516523898310 ~2005
2582675951516535190310 ~2005
Exponent Prime Factor Digits Year
2582722379516544475910 ~2005
2582750231516550046310 ~2005
25827745312066219624911 ~2006
2582843843516568768710 ~2005
2582852879516570575910 ~2005
2583120971516624194310 ~2005
25831650371549899022311 ~2006
25831721811549903308711 ~2006
25833793612066703488911 ~2006
2583473219516694643910 ~2005
2583488723516697744710 ~2005
2583546743516709348710 ~2005
2583573071516714614310 ~2005
2583593891516718778310 ~2005
25836179232583617923111 ~2006
25836652074650597372711 ~2007
25836688971550201338311 ~2006
2583721643516744328710 ~2005
2583744851516748970310 ~2005
25840089611550405376711 ~2006
2584104923516820984710 ~2005
2584129799516825959910 ~2005
2584204223516840844710 ~2005
2584260179516852035910 ~2005
25842651412067412112911 ~2006
Exponent Prime Factor Digits Year
25843746011550624760711 ~2006
25844249392067539951311 ~2006
25844267234135082756911 ~2007
2584433843516886768710 ~2005
2584444991516888998310 ~2005
25846122412067689792911 ~2006
2584647371516929474310 ~2005
2584843091516968618310 ~2005
2585169803517033960710 ~2005
2585252291517050458310 ~2005
2585351399517070279910 ~2005
2585391551517078310310 ~2005
25854624171551277450311 ~2006
25854630531551277831911 ~2006
25855050171551303010311 ~2006
25855107896205225893711 ~2007
2585535611517107122310 ~2005
258565831910342633276112 ~2008
25856605072068528405711 ~2006
2585740463517148092710 ~2005
2585799899517159979910 ~2005
2585872823517174564710 ~2005
25858933571551536014311 ~2006
2585906591517181318310 ~2005
258592576132582664588712 ~2009
Exponent Prime Factor Digits Year
25859611512585961151111 ~2006
2585973563517194712710 ~2005
25860126412068810112911 ~2006
25860235211551614112711 ~2006
2586039899517207979910 ~2005
2586074423517214884710 ~2005
25861671172068933693711 ~2006
25861818898275782044911 ~2008
2586241631517248326310 ~2005
25862515272586251527111 ~2006
25862935371551776122311 ~2006
25863119212069049536911 ~2006
2586367271517273454310 ~2005
25867444371552046662311 ~2006
2586774251517354850310 ~2005
2586806279517361255910 ~2005
25868153836208356919311 ~2007
2586833939517366787910 ~2005
2587015523517403104710 ~2005
2587052651517410530310 ~2005
2587058231517411646310 ~2005
2587073939517414787910 ~2005
2587118399517423679910 ~2005
2587194671517438934310 ~2005
2587290899517458179910 ~2005
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