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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
4217836438435672879 ~1998
4217876518435753039 ~1998
421798561927956834310 ~2001
4218001438436002879 ~1998
4218003718436007439 ~1998
421802561253081536710 ~2000
421815089337452071310 ~2000
4218280198436560399 ~1998
4218402838436805679 ~1998
4218444598436889199 ~1998
421848397674957435310 ~2001
421863151759353671910 ~2001
4218730318437460639 ~1998
4218864118437728239 ~1998
4218993238437986479 ~1998
4219015318438030639 ~1998
4219252798438505599 ~1998
4219346998438693999 ~1998
421942711421942711110 ~2000
4219695191012726845711 ~2001
4219711318439422639 ~1998
4219872598439745199 ~1998
4219900918439801839 ~1998
4219915438439830879 ~1998
421996021253197612710 ~2000
Exponent Prime Factor Digits Year
4220016238440032479 ~1998
4220220118440440239 ~1998
4220252518440505039 ~1998
422044741253226844710 ~2000
422053133253231879910 ~2000
4220614438441228879 ~1998
422077433590908406310 ~2000
422086631337669304910 ~2000
4220904238441808479 ~1998
4221055318442110639 ~1998
4221065518442131039 ~1998
4221071398442142799 ~1998
4221146638442293279 ~1998
4221190318442380639 ~1998
422140373590996522310 ~2000
4221540598443081199 ~1998
4221601438443202879 ~1998
4221606118865372831111 ~2003
4221613198443226399 ~1998
4221698518443397039 ~1998
4221731518443463039 ~1998
422177669591048736710 ~2000
422189531337751624910 ~2000
422216023422216023110 ~2000
422228077253336846310 ~2000
Exponent Prime Factor Digits Year
4222483318444966639 ~1998
4222511038445022079 ~1998
4222532038445064079 ~1998
422269277337815421710 ~2000
4222757398445514799 ~1998
4222766638445533279 ~1998
422276879760098382310 ~2001
422279573253367743910 ~2000
4222857238445714479 ~1998
4222867318445734639 ~1998
4222875838445751679 ~1998
4222885918445771839 ~1998
422290717253374430310 ~2000
4223087518446175039 ~1998
422320973253392583910 ~2000
422322821253393692710 ~2000
4223275198446550399 ~1998
4223296798446593599 ~1998
422334041337867232910 ~2000
4223370118446740239 ~1998
4223371198446742399 ~1998
4223637238447274479 ~1998
4223693038447386079 ~1998
4223723398447446799 ~1998
4223733838447467679 ~1998
Exponent Prime Factor Digits Year
4223831518447663039 ~1998
422389237253433542310 ~2000
4223900518447801039 ~1998
422407861929297294310 ~2001
4224139918448279839 ~1998
4224245038448490079 ~1998
422425481337940384910 ~2000
4224333598448667199 ~1998
4224347398448694799 ~1998
4224372838448745679 ~1998
4224375238448750479 ~1998
422455961253473576710 ~2000
4224589318449178639 ~1998
4224650518449301039 ~1998
422477171337981736910 ~2000
4224818638449637279 ~1998
4225067398450134799 ~1998
4225072438450144879 ~1998
422511857338009485710 ~2000
4225145638450291279 ~1998
4225149718450299439 ~1998
4225218732957653111111 ~2002
4225237438450474879 ~1998
422547731760585915910 ~2001
4225566118451132239 ~1998
3389
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26-01-11