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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
51773742111035474842311 ~2007
51774852591035497051911 ~2007
51776817591035536351911 ~2007
51777216315177721631111 ~2009
51779246933106754815911 ~2008
51782550315178255031111 ~2009
51783016791035660335911 ~2007
51785104431035702088711 ~2007
51787394631035747892711 ~2007
51791312991035826259911 ~2007
51792041813107522508711 ~2008
517928923323824730471912 ~2010
51793457631035869152711 ~2007
51793933431035878668711 ~2007
51796028391035920567911 ~2007
51798190191035963803911 ~2007
51799772511035995450311 ~2007
51802354911036047098311 ~2007
51804159231036083184711 ~2007
51805573791036111475911 ~2007
51810206391036204127911 ~2007
51812749791036254995911 ~2007
51813789719326482147911 ~2009
51814164831036283296711 ~2007
51819030173109141810311 ~2008
Exponent Prime Factor Dig. Year
51820324191036406483911 ~2007
51828164511036563290311 ~2007
51828380333109702819911 ~2008
51829019391036580387911 ~2007
51832550391036651007911 ~2007
51833521311036670426311 ~2007
51840345711036806914311 ~2007
51846643791036932875911 ~2007
51846825711036936514311 ~2007
51846826311036936526311 ~2007
51847903791036958075911 ~2007
518493701962219244228112 ~2011
51851070173111064210311 ~2008
51851652111037033042311 ~2007
51853123431037062468711 ~2007
51854432933111265975911 ~2008
51855110631037102212711 ~2007
51855639133111338347911 ~2008
51856903813111414228711 ~2008
51860173373111610402311 ~2008
51862412991037248259911 ~2007
51863505831037270116711 ~2007
51863774991037275499911 ~2007
51865839591037316791911 ~2007
51868433031037368660711 ~2007
Exponent Prime Factor Dig. Year
51868957431037379148711 ~2007
51869700591037394011911 ~2007
51870175191037403503911 ~2007
51870340431037406808711 ~2007
51872052733112323163911 ~2008
51874067391037481347911 ~2007
51874647831037492956711 ~2007
51875234991037504699911 ~2007
51877103031037542060711 ~2007
51877276311037545526311 ~2007
51886485719339567427911 ~2009
51887089974150967197711 ~2008
51888653933113319235911 ~2008
51890815911037816318311 ~2007
51892658773113559526311 ~2008
51894124614151529968911 ~2008
51894762114151580968911 ~2008
51895804911037916098311 ~2007
518960122937365128848912 ~2011
51896738991037934779911 ~2007
518973430132176352666312 ~2011
51898074733113884483911 ~2008
51899575791037991515911 ~2007
51902019591038040391911 ~2007
51904582013114274920711 ~2008
Exponent Prime Factor Dig. Year
51904693791038093875911 ~2007
51904858133114291487911 ~2008
51905898678304943787311 ~2009
51908090511038161810311 ~2007
51910402133114624127911 ~2008
51910462191038209243911 ~2007
51915305238306448836911 ~2009
51917174031038343480711 ~2007
51917259231038345184711 ~2007
51917831991038356639911 ~2007
519181615937381076344912 ~2011
51920776791038415535911 ~2007
51924340818307894529711 ~2009
51926236791038524735911 ~2007
51927399978308383995311 ~2009
51927835911038556718311 ~2007
51928454391038569087911 ~2007
51931320231038626404711 ~2007
51931746831038634936711 ~2007
51932731911038654638311 ~2007
51933043791038660875911 ~2007
51933541191038670823911 ~2007
51934426973116065618311 ~2008
51936398511038727970311 ~2007
51938758035193875803111 ~2009
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25-07-08