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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
4647218639294437279 ~1999
4647353399294706799 ~1999
4647367377342840444711 ~2003
4647426839294853679 ~1999
464760733278856439910 ~2000
464786501278871900710 ~2000
4648017239296034479 ~1999
4648270439296540879 ~1999
464840777278904466310 ~2000
4648596239297192479 ~1999
4648720919297441839 ~1999
4648755839297511679 ~1999
4648790399297580799 ~1999
4648831799297663599 ~1999
4648874639297749279 ~1999
4648956119297912239 ~1999
4649093039298186079 ~1999
464919599371935679310 ~2000
4649200319298400639 ~1999
4649736839299473679 ~1999
4649844839299689679 ~1999
4650189719300379439 ~1999
4650266631209069323911 ~2001
4650317399300634799 ~1999
4650439799300879599 ~1999
Exponent Prime Factor Digits Year
4650460319300920639 ~1999
4650517919301035839 ~1999
4650562439301124879 ~1999
465058753279035251910 ~2000
4650744119301488239 ~1999
4651220519302441039 ~1999
4651373639302747279 ~1999
4651514519303029039 ~1999
4651874519303749039 ~1999
465191777372153421710 ~2000
4652100599304201199 ~1999
465220957279132574310 ~2000
4652314799304629599 ~1999
4652343839304687679 ~1999
4652421599304843199 ~1999
4652445239304890479 ~1999
4652458439304916879 ~1999
4652582039305164079 ~1999
4652642039305284079 ~1999
4652704799305409599 ~1999
465281473279168883910 ~2000
4652905199305810399 ~1999
465295141279177084710 ~2000
4653100919306201839 ~1999
4653339239306678479 ~1999
Exponent Prime Factor Digits Year
465335161279201096710 ~2000
4653352319306704639 ~1999
465346417279207850310 ~2000
465370721279222432710 ~2000
4654039439308078879 ~1999
4654060439308120879 ~1999
4654109411023904070311 ~2001
465412931372330344910 ~2000
4654530119309060239 ~1999
4654679639309359279 ~1999
4654683839309367679 ~1999
4655025719310051439 ~1999
465506527465506527110 ~2000
4655094599310189199 ~1999
4655120519310241039 ~1999
4655164799310329599 ~1999
4655427839310855679 ~1999
4655506919311013839 ~1999
4655780519311561039 ~1999
465606307744970091310 ~2001
4656080572234918673711 ~2002
4656243599312487199 ~1999
4656398039312796079 ~1999
465670253651938354310 ~2001
4656726599313453199 ~1999
Exponent Prime Factor Digits Year
4656995519313991039 ~1999
4657038839314077679 ~1999
4657051973725641576111 ~2003
4657144799314289599 ~1999
465721517372577213710 ~2000
4657237439314474879 ~1999
4657354439314708879 ~1999
4657551599315103199 ~1999
465760717279456430310 ~2000
4657934399315868799 ~1999
4658019719316039439 ~1999
4658082239316164479 ~1999
4658085719316171439 ~1999
465818417372654733710 ~2000
4658205599316411199 ~1999
4658344319316688639 ~1999
465841637279504982310 ~2000
4658427719316855439 ~1999
465854219372683375310 ~2000
4658547839317095679 ~1999
4658655119317310239 ~1999
465879607465879607110 ~2000
465885617372708493710 ~2000
4658919119317838239 ~1999
465905753279543451910 ~2000
3467
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26-02-08