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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
524591993314755195910 ~2000
524592773314755663910 ~2000
524596139104919227910 ~1999
5246093873462421954311 ~2003
524613311104922662310 ~1999
524616563104923312710 ~1999
524619899104923979910 ~1999
524663123104932624710 ~1999
524665859104933171910 ~1999
524666003104933200710 ~1999
524676791104935358310 ~1999
524682299104936459910 ~1999
524682551944428591910 ~2001
524686091104937218310 ~1999
524699503524699503110 ~2001
524723291104944658310 ~1999
524726123104945224710 ~1999
524739637839583419310 ~2001
524748131104949626310 ~1999
524768591104953718310 ~1999
524788259104957651910 ~1999
524807771104961554310 ~1999
524821139419856911310 ~2001
524858063104971612710 ~1999
524863637314918182310 ~2000
Exponent Prime Factor Digits Year
524892911104978582310 ~1999
524905631104981126310 ~1999
524913299104982659910 ~1999
524913971104982794310 ~1999
524919181314951508710 ~2000
524963717314978230310 ~2000
524972531104994506310 ~1999
524977319104995463910 ~1999
524994383104998876710 ~1999
525015983105003196710 ~1999
525017033735023846310 ~2001
525025103105005020710 ~1999
525047483105009496710 ~1999
525050699105010139910 ~1999
525054203105010840710 ~1999
525072371105014474310 ~1999
525072491105014498310 ~1999
525084173735117842310 ~2001
525085523105017104710 ~1999
525091331105018266310 ~1999
525091499105018299910 ~1999
525092437315055462310 ~2000
5251074133675751891111 ~2003
525113951105022790310 ~1999
525120731105024146310 ~1999
Exponent Prime Factor Digits Year
525125681420100544910 ~2001
525133313315079987910 ~2000
525156491105031298310 ~1999
525158657420126925710 ~2001
525159539105031907910 ~1999
525171791105034358310 ~1999
525177203105035440710 ~1999
525185161315111096710 ~2000
525187763105037552710 ~1999
525197171105039434310 ~1999
525199331105039866310 ~1999
525201637315120982310 ~2000
525206663105041332710 ~1999
525210239105042047910 ~1999
525212651105042530310 ~1999
525216179105043235910 ~1999
525224363105044872710 ~1999
525244847420195877710 ~2001
525268283105053656710 ~1999
525282143105056428710 ~1999
5253091071365803678311 ~2002
525318611105063722310 ~1999
525328319105065663910 ~1999
525359591105071918310 ~1999
525360371105072074310 ~1999
Exponent Prime Factor Digits Year
525374231105074846310 ~1999
525375731105075146310 ~1999
525382457420305965710 ~2001
525383543105076708710 ~1999
525386573315231943910 ~2000
525387671105077534310 ~1999
525396359105079271910 ~1999
525424979105084995910 ~1999
525427453315256471910 ~2000
525431279105086255910 ~1999
525441071105088214310 ~1999
525453431105090686310 ~1999
525455351105091070310 ~1999
525468743105093748710 ~1999
525477893315286735910 ~2000
525478097315286858310 ~2000
525478931105095786310 ~1999
525481919105096383910 ~1999
525493517315296110310 ~2000
525515411420412328910 ~2001
525525491105105098310 ~1999
525554663105110932710 ~1999
5255678531261362847311 ~2002
525618179105123635910 ~1999
525620833315372499910 ~2000
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26-07-05