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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
56827804431136556088711 ~2007
56828500279092560043311 ~2009
56833193031136663860711 ~2007
56834198933410051935911 ~2008
568392004944334576382312 ~2011
56840130591136802611911 ~2007
56840417994547233439311 ~2009
56844219231136884384711 ~2007
56845035231136900704711 ~2007
568469810930697369788712 ~2011
56848780579095804891311 ~2009
56853077031137061540711 ~2007
56858306511137166130311 ~2007
56858322831137166456711 ~2007
56858874111137177482311 ~2007
56859401631137188032711 ~2007
56864787111137295742311 ~2007
56866487391137329747911 ~2007
568672281713648134760912 ~2010
56867998791137359975911 ~2007
56870561391137411227911 ~2007
56873990991137479819911 ~2007
56874085911137481718311 ~2007
56875070419100011265711 ~2009
568767728369389662852712 ~2012
Exponent Prime Factor Dig. Year
56878140294550251223311 ~2009
56879560311137591206311 ~2007
568820026710238760480712 ~2010
568825699913651816797712 ~2010
56885962933413157775911 ~2008
56888735274551098821711 ~2009
56890707591137814151911 ~2007
56892821991137856439911 ~2007
56899479613413968776711 ~2008
56900550831138011016711 ~2007
56900560191138011203911 ~2007
56900865111138017302311 ~2007
56901774133414106447911 ~2008
56906735631138134712711 ~2007
56907984111138159682311 ~2007
56909355111138187102311 ~2007
56911614675691161467111 ~2009
56912326911138246538311 ~2007
56914271391138285427911 ~2007
56919663173415179790311 ~2008
56920109031138402180711 ~2007
56922376431138447528711 ~2007
56923576911138471538311 ~2007
569245007913661880189712 ~2010
56924998431138499968711 ~2007
Exponent Prime Factor Dig. Year
56927100711138542014311 ~2007
56930047311138600946311 ~2007
56930991231138619824711 ~2007
56931587991138631759911 ~2007
56933326074554666085711 ~2009
56933529711138670594311 ~2007
56933614911138672298311 ~2007
56933955315693395531111 ~2009
56934438591138688771911 ~2007
56936125311138722506311 ~2007
56936469111138729382311 ~2007
56939786511138795730311 ~2007
56940485391138809707911 ~2007
56942287911138845758311 ~2007
56942888511138857770311 ~2007
56944648191138892963911 ~2007
56945879573416752774311 ~2008
56947472631138949452711 ~2007
569482937317084488119112 ~2010
56948784594555902767311 ~2009
56950810791139016215911 ~2007
56951333773417080026311 ~2008
56954418831139088376711 ~2007
56955272511139105450311 ~2007
56956558933417393535911 ~2008
Exponent Prime Factor Dig. Year
569580032318226561033712 ~2010
56959362711139187254311 ~2007
56963299219114127873711 ~2009
56966447631139328952711 ~2007
56970543711139410874311 ~2007
56972580711139451614311 ~2007
56973518511139470370311 ~2007
56975876391139517527911 ~2007
569781821368373818556112 ~2012
569849083913676378013712 ~2010
56985396831139707936711 ~2007
56988992031139779840711 ~2007
56989731231139794624711 ~2007
56993596191139871923911 ~2007
56996564413419793864711 ~2008
56996706111139934122311 ~2007
56999027511139980550311 ~2007
57002612991140052259911 ~2007
57011066391140221327911 ~2007
57011385111140227702311 ~2007
57012827391140256547911 ~2007
57016455831140329116711 ~2007
57019293231140385864711 ~2007
570198613913684766733712 ~2010
57023113191140462263911 ~2007
4077
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25-04-13