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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
508395499912201491997712 ~2009
50840819631016816392711 ~2007
50842588431016851768711 ~2007
50844261111016885222311 ~2007
50846653014067732240911 ~2008
50848147374067851789711 ~2008
50848226694067858135311 ~2008
50848858218135817313711 ~2009
50853654378136584699311 ~2009
508539993153905239268712 ~2011
50855743914068459512911 ~2008
50856364973051381898311 ~2008
50857841391017156827911 ~2007
50862674715086267471111 ~2009
50862953933051777235911 ~2008
50863146591017262931911 ~2007
50865106311017302126311 ~2007
50865241191017304823911 ~2007
508658163136623387743312 ~2011
50868589373052115362311 ~2008
50872569013052354140711 ~2008
50875010631017500212711 ~2007
50876175711017523514311 ~2007
50877742911017554858311 ~2007
50877873294070229863311 ~2008
Exponent Prime Factor Dig. Year
50878520595087852059111 ~2009
50879330031017586600711 ~2007
50880463933052827835911 ~2008
508855970915265679127112 ~2010
50885781973053146918311 ~2008
50887867791017757355911 ~2007
50888382774071070621711 ~2008
50890568031017811360711 ~2007
50893359435089335943111 ~2009
50893778991017875579911 ~2007
50894444631017888892711 ~2007
50894769114071581528911 ~2008
50895632031017912640711 ~2007
50896765911017935318311 ~2007
50901797511018035950311 ~2007
50903612173054216730311 ~2008
50904654231018093084711 ~2007
50907292515090729251111 ~2009
50909388711018187774311 ~2007
50909796533054587791911 ~2008
50912784111018255682311 ~2007
50915386911018307738311 ~2007
50916595911018331918311 ~2007
50918049111018360982311 ~2007
50918094231018361884711 ~2007
Exponent Prime Factor Dig. Year
50919374391018387487911 ~2007
50921723631018434472711 ~2007
50923065373055383922311 ~2008
50923688631018473772711 ~2007
50924402991018488059911 ~2007
50928643794074291503311 ~2008
50932731773055963906311 ~2008
50934668533056080111911 ~2008
50936917191018738343911 ~2007
50938101711018762034311 ~2007
509381526111206393574312 ~2009
50938883235093888323111 ~2009
50939132991018782659911 ~2007
509409094115282272823112 ~2010
50941429613056485776711 ~2008
50942103711018842074311 ~2007
50942314911018846298311 ~2007
50942702835094270283111 ~2009
50943800991018876019911 ~2007
50945336573056720194311 ~2008
50946271191018925423911 ~2007
50946423831018928476711 ~2007
50946625333056797519911 ~2008
50948451591018969031911 ~2007
50948510394075880831311 ~2008
Exponent Prime Factor Dig. Year
50950843431019016868711 ~2007
50950875831019017516711 ~2007
50952198591019043971911 ~2007
509532992313247857799912 ~2010
50954181231019083624711 ~2007
50957963391019159267911 ~2007
50960702511019214050311 ~2007
50962101831019242036711 ~2007
50962262031019245240711 ~2007
509634865116308315683312 ~2010
50963678511019273570311 ~2007
50964673191019293463911 ~2007
50965228911019304578311 ~2007
50965349511019306990311 ~2007
50965887435096588743111 ~2009
50970893391019417867911 ~2007
50970972231019419444711 ~2007
509718023312233232559312 ~2009
50972192511019443850311 ~2007
50972924391019458487911 ~2007
50973571791019471435911 ~2007
50976838813058610328711 ~2008
50977017111019540342311 ~2007
50984331831019686636711 ~2007
50984787831019695756711 ~2007
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25-04-13