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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
72310196991446203939911 ~2008
72312338511446246770311 ~2008
72314630031446292600711 ~2008
72316177791446323555911 ~2008
72320367711446407354311 ~2008
72327137391446542747911 ~2008
72330584631446611692711 ~2008
72333142191446662843911 ~2008
72333770511446675410311 ~2008
72337817391446756347911 ~2008
72338090031446761800711 ~2008
72338432991446768659911 ~2008
72339375174340362510311 ~2009
723397927113021162687912 ~2010
72344479311446889586311 ~2008
72346071831446921436711 ~2008
72346078431446921568711 ~2008
72350467374341028042311 ~2009
72351474774341088486311 ~2009
72352539974341152398311 ~2009
72354149934341248995911 ~2009
72357014117235701411111 ~2010
72361697631447233952711 ~2008
72365032934341901975911 ~2009
72367058031447341160711 ~2008
Exponent Prime Factor Dig. Year
72368186511447363730311 ~2008
72369005511447380110311 ~2008
72370823534342249411911 ~2009
72370925631447418512711 ~2008
72371062574342263754311 ~2009
72371899191447437983911 ~2008
72371981511447439630311 ~2008
72374063991447481279911 ~2008
72375615111447512302311 ~2008
72375627231447512544711 ~2008
72383102511447662050311 ~2008
72383629791447672595911 ~2008
72383806877238380687111 ~2010
72384727791447694555911 ~2008
72385422111447708442311 ~2008
72386508831447730176711 ~2008
72391368231447827364711 ~2008
72395199231447903984711 ~2008
72395409374343724562311 ~2009
72399764334343985859911 ~2009
72400510791448010215911 ~2008
72400783015792062640911 ~2009
72404739591448094791911 ~2008
72409074774344544486311 ~2009
72409552615792764208911 ~2009
Exponent Prime Factor Dig. Year
72410038791448200775911 ~2008
72411289911448225798311 ~2008
72415791974344947518311 ~2009
72420021134345201267911 ~2009
72420137631448402752711 ~2008
72420919431448418388711 ~2008
72423880911448477618311 ~2008
72426004191448520083911 ~2008
724298712169532676361712 ~2012
72431477275794518181711 ~2009
72433168911448663378311 ~2008
72434478111448689562311 ~2008
72437240031448744800711 ~2008
72438068511448761370311 ~2008
72441231231448824624711 ~2008
72443435391448868707911 ~2008
72443842431448876848711 ~2008
72455388774347323326311 ~2009
72459559911449191198311 ~2008
72462795831449255916711 ~2008
72463591191449271823911 ~2008
72463731711449274634311 ~2008
72463926831449278536711 ~2008
724679467710145512547912 ~2010
724697561310145765858312 ~2010
Exponent Prime Factor Dig. Year
72471543711449430874311 ~2008
72473265711449465314311 ~2008
72476317311449526346311 ~2008
724766712717394401104912 ~2011
72479484231449589684711 ~2008
72481080711449621614311 ~2008
724813210917395517061712 ~2011
72482451197248245119111 ~2010
72486094191449721883911 ~2008
72486627831449732556711 ~2008
72487777191449755543911 ~2008
72490687911449813758311 ~2008
72491728311449834566311 ~2008
72492064911449841298311 ~2008
72492194031449843880711 ~2008
72492445934349546755911 ~2009
72494917615799593408911 ~2009
72497301231449946024711 ~2008
72502512231450050244711 ~2008
72503001591450060031911 ~2008
72505187631450103752711 ~2008
72505808031450116160711 ~2008
72510892311450217846311 ~2008
725177725930457464487912 ~2011
72518689311450373786311 ~2008
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25-07-20