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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
740928719148185743910 ~2000
740947079148189415910 ~2000
740971859592777487310 ~2002
740972339148194467910 ~2000
740977031148195406310 ~2000
740978963148195792710 ~2000
7410155514890702636711 ~2004
7410164891630236275911 ~2003
741044519148208903910 ~2000
741044663148208932710 ~2000
7410505492815992086311 ~2003
741056777444634066310 ~2001
741090811741090811110 ~2002
741107777444664666310 ~2001
741129997444677998310 ~2001
741154021444692412710 ~2001
741155803741155803110 ~2002
741163777444698266310 ~2001
741164051148232810310 ~2000
7411642394743451129711 ~2004
741234863148246972710 ~2000
741250271148250054310 ~2000
741266159148253231910 ~2000
741282071148256414310 ~2000
741282097444769258310 ~2001
Exponent Prime Factor Digits Year
741357389593085911310 ~2002
741365593444819355910 ~2001
741386699148277339910 ~2000
741407123148281424710 ~2000
7414380531779451327311 ~2003
741457813444874687910 ~2001
741481319148296263910 ~2000
741481991148296398310 ~2000
741487139148297427910 ~2000
7415924692373095900911 ~2003
741614411148322882310 ~2000
741625583148325116710 ~2000
741630359148326071910 ~2000
741631433444978859910 ~2001
741667061593333648910 ~2002
741684791148336958310 ~2000
741698291148339658310 ~2000
741713183148342636710 ~2000
741714023148342804710 ~2000
741729899148345979910 ~2000
741737891148347578310 ~2000
741741971148348394310 ~2000
741744791148348958310 ~2000
7418105291780345269711 ~2003
7418187137121459644911 ~2004
Exponent Prime Factor Digits Year
741821603148364320710 ~2000
741823559148364711910 ~2000
741826391148365278310 ~2000
7418406531038576914311 ~2002
741867383148373476710 ~2000
741877091148375418310 ~2000
741889781593511824910 ~2002
741920843148384168710 ~2000
741921263148384252710 ~2000
741942983148388596710 ~2000
741956399148391279910 ~2000
741964547593571637710 ~2002
741970343148394068710 ~2000
741983999148396799910 ~2000
741995123148399024710 ~2000
742009343148401868710 ~2000
742011097445206658310 ~2001
742038419593630735310 ~2002
742045319148409063910 ~2000
742048199148409639910 ~2000
742050623148410124710 ~2000
742076591148415318310 ~2000
742107923148421584710 ~2000
742137443148427488710 ~2000
742192153445315291910 ~2001
Exponent Prime Factor Digits Year
742285007593828005710 ~2002
742312793445387675910 ~2001
742314803148462960710 ~2000
742333673445400203910 ~2001
742338419148467683910 ~2000
742357943148471588710 ~2000
742384871593907896910 ~2002
742398179148479635910 ~2000
742426537445455922310 ~2001
742434299148486859910 ~2000
742436677445462006310 ~2001
742443731148488746310 ~2000
742444739148488947910 ~2000
742484003148496800710 ~2000
742513091148502618310 ~2000
742526341445515804710 ~2001
742530983148506196710 ~2000
742533611148506722310 ~2000
742545059148509011910 ~2000
742560179148512035910 ~2000
742579891742579891110 ~2002
742582877594066301710 ~2002
7425967491039635448711 ~2002
742598663148519732710 ~2000
742599479148519895910 ~2000
3336
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25-04-13