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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
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
72407450031448149000711 ~2008
72409074774344544486311 ~2009
Exponent Prime Factor Dig. Year
72409552615792764208911 ~2009
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
72444038395795523071311 ~2009
72455388774347323326311 ~2009
72459559911449191198311 ~2008
72462795831449255916711 ~2008
72463591191449271823911 ~2008
72463731711449274634311 ~2008
72463926831449278536711 ~2008
Exponent Prime Factor Dig. Year
724679467710145512547912 ~2010
724697561310145765858312 ~2010
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
Exponent Prime Factor Dig. Year
725177725930457464487912 ~2011
72518689311450373786311 ~2008
72519715911450394318311 ~2008
725240590311603849444912 ~2010
72529088631450581772711 ~2008
72530676111450613522311 ~2008
72530715437253071543111 ~2010
72530776911450615538311 ~2008
72531412791450628255911 ~2008
72532096791450641935911 ~2008
725326968711605231499312 ~2010
72535989591450719791911 ~2008
72537767934352266075911 ~2009
72544479111450889582311 ~2008
72544634174352678050311 ~2009
72546435591450928711911 ~2008
72550409511451008190311 ~2008
72551152431451023048711 ~2008
725521208910157296924712 ~2010
72555480111451109602311 ~2008
72560002431451200048711 ~2008
72560611191451212223911 ~2008
72565546191451310923911 ~2008
72566324774353979486311 ~2009
72567999831451359996711 ~2008
4382
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25-09-07