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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 Digits Year
826636511165327302310 ~2001
826654571661323656910 ~2002
826665491165333098310 ~2001
826715723165343144710 ~2001
826769231165353846310 ~2001
8268147891157540704711 ~2003
826827539165365507910 ~2001
826846283165369256710 ~2001
826866779165373355910 ~2001
826879127661503301710 ~2002
826890923165378184710 ~2001
826922639165384527910 ~2001
826923551165384710310 ~2001
826924711826924711110 ~2002
826949857496169914310 ~2002
8269738632811711134311 ~2004
826996463165399292710 ~2001
827025071165405014310 ~2001
8270307071323249131311 ~2003
827036183165407236710 ~2001
827067599165413519910 ~2001
827078051165415610310 ~2001
827086943165417388710 ~2001
827115677496269406310 ~2002
827117321496270392710 ~2002
Exponent Prime Factor Digits Year
827133491165426698310 ~2001
827135063165427012710 ~2001
827166281496299768710 ~2002
827207681496324608710 ~2002
827225519165445103910 ~2001
827244521496346712710 ~2002
827286539165457307910 ~2001
827303843165460768710 ~2001
827357039165471407910 ~2001
8273576771323772283311 ~2003
827367263165473452710 ~2001
827385659165477131910 ~2001
8273897533805992863911 ~2004
827401691165480338310 ~2001
827438519165487703910 ~2001
827448911661959128910 ~2002
827452841496471704710 ~2002
827475983165495196710 ~2001
827480231661984184910 ~2002
827482823165496564710 ~2001
827490179165498035910 ~2001
827508551165501710310 ~2001
827520923165504184710 ~2001
827528843165505768710 ~2001
827549819165509963910 ~2001
Exponent Prime Factor Digits Year
827584573496550743910 ~2002
827584931165516986310 ~2001
827594171165518834310 ~2001
827630651165526130310 ~2001
8276395871324223339311 ~2003
827653543827653543110 ~2002
827666531165533306310 ~2001
827666837496600102310 ~2002
827672711165534542310 ~2001
827673719165534743910 ~2001
827674273496604563910 ~2002
827689679165537935910 ~2001
827701403165540280710 ~2001
827802719165560543910 ~2001
827810579165562115910 ~2001
8278157212483447163111 ~2004
827883893496730335910 ~2002
827884451165576890310 ~2001
827897579165579515910 ~2001
827901731165580346310 ~2001
827913253496747951910 ~2002
82791553728977043795112 ~2006
827916017662332813710 ~2002
827924039165584807910 ~2001
827968439165593687910 ~2001
Exponent Prime Factor Digits Year
827986391165597278310 ~2001
827987957496792774310 ~2002
827994059165598811910 ~2001
828015431165603086310 ~2001
828030971662424776910 ~2002
828039137496823482310 ~2002
828055391165611078310 ~2001
828075971165615194310 ~2001
828083843165616768710 ~2001
828139043165627808710 ~2001
828140699165628139910 ~2001
828154751165630950310 ~2001
828157381496894428710 ~2002
828211679165642335910 ~2001
828245471165649094310 ~2001
828251573496950943910 ~2002
828290051165658010310 ~2001
828323399165664679910 ~2001
828343877662675101710 ~2002
828356003165671200710 ~2001
828364637662691709710 ~2002
828372893497023735910 ~2002
828415463165683092710 ~2001
828420961497052576710 ~2002
828434363165686872710 ~2001
3449
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25-06-08