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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.
Exp. Prime Factor Digits Year
7252381435142878 ~1986
7252501435150078 ~1986
7252571145051438 ~1985
7252631145052638 ~1985
72530631740735139 ~1987
7253531145070638 ~1985
72536692321174099 ~1988
7253837435230238 ~1986
7253941435236478 ~1986
7253957580316578 ~1986
7254179145083598 ~1985
7254419145088398 ~1985
7254617435277038 ~1986
7254743145094878 ~1985
7254761435285678 ~1986
72548031886248799 ~1987
7255019145100398 ~1985
7255067580405378 ~1986
7255151145103038 ~1985
7255693435341598 ~1986
7255763145115278 ~1985
72559511306071199 ~1987
7255979580478338 ~1986
7256393435383598 ~1986
7256519580521538 ~1986
Exp. Prime Factor Digits Year
7256591145131838 ~1985
72565936821197439 ~1989
7256849580547938 ~1986
7256999145139998 ~1985
7257023145140478 ~1985
7257137435428238 ~1986
7257179145143598 ~1985
7257311145146238 ~1985
7257707580616578 ~1986
7257781435466878 ~1986
7257851145157038 ~1985
7258093435485598 ~1986
7258319145166398 ~1985
7258661580692898 ~1986
7258943145178878 ~1985
72590419872295779 ~1989
7259519145190398 ~1985
7259783145195678 ~1985
7259801435588078 ~1986
72598691597171199 ~1987
7259977435598638 ~1986
7260083145201678 ~1985
7260119145202398 ~1985
72601911887649679 ~1987
7261283145225678 ~1985
Exp. Prime Factor Digits Year
7261349580907938 ~1986
7261451145229038 ~1985
7261511145230238 ~1985
7261679145233598 ~1985
7261949580955938 ~1986
72619491016672879
7261979145239598 ~1985
72619793630989519
7261981435718878 ~1986
7262201435732078 ~1986
7262243145244878 ~1985
7262597435755838 ~1986
7262891145257838 ~1985
7263013435780798 ~1986
7263041581043298 ~1986
7263143145262878 ~1985
7263287581062978 ~1986
7263419145268398 ~1985
7263611581088898 ~1986
7263673435820398 ~1986
7263863145277278 ~1985
7263983145279678 ~1985
7264193435851598 ~1986
72642771016998799 ~1987
7264319145286398 ~1985
Exp. Prime Factor Digits Year
7264381435862878 ~1986
7264391145287838 ~1985
7264643145292878 ~1985
7264841581187298 ~1986
7265003145300078 ~1985
72652071888953839 ~1987
7265339145306798 ~1985
7265381581230498 ~1986
7265603145312078 ~1985
7265663145313278 ~1985
7265701435942078 ~1986
7265759145315198 ~1985
7266073435964398 ~1986
7266101435966078 ~1986
7266251145325038 ~1985
7266299145325998 ~1985
7266491581319298 ~1986
7266557435993438 ~1986
72666731162667699 ~1987
72666971162671539 ~1987
72667094650693779 ~1988
7266737436004238 ~1986
7266923145338478 ~1985
72669292180078719 ~1987
7267031145340638 ~1985
847
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25-05-04