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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
72409074774344544486311 ~2009
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
72455388774347323326311 ~2009
72459559911449191198311 ~2008
72463591191449271823911 ~2008
72463731711449274634311 ~2008
72463926831449278536711 ~2008
724697561310145765858312 ~2010
Exponent Prime Factor Dig. Year
72471543711449430874311 ~2008
72473265711449465314311 ~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
72519715911450394318311 ~2008
Exponent Prime Factor Dig. Year
725240590311603849444912 ~2010
72529088631450581772711 ~2008
72530676111450613522311 ~2008
72530715437253071543111 ~2010
72530776911450615538311 ~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
725691691311611067060912 ~2010
72569905791451398115911 ~2008
725708121129028324844112 ~2011
72572815191451456303911 ~2008
Exponent Prime Factor Dig. Year
72575168631451503372711 ~2008
72576099231451521984711 ~2008
72579765014354785900711 ~2009
72583060191451661203911 ~2008
725843687321775310619112 ~2011
72585982191451719643911 ~2008
72589558311451791166311 ~2008
72589813911451796278311 ~2008
72590861991451817239911 ~2008
72591572631451831452711 ~2008
72592750911451855018311 ~2008
72594662991451893259911 ~2008
725976565710163671919912 ~2010
72607091215808567296911 ~2009
72608144991452162899911 ~2008
72610633431452212668711 ~2008
72613506711452270134311 ~2008
72613981615809118528911 ~2009
72617790231452355804711 ~2008
72617965791452359315911 ~2008
72621161574357269694311 ~2009
72629803911452596078311 ~2008
72633840831452676816711 ~2008
72635452311452709046311 ~2008
72635459631452709192711 ~2008
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25-04-13