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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 Dig. Year
50188762311003775246311 ~2007
50196904133011814247911 ~2008
50200125133012007507911 ~2008
50205739911004114798311 ~2007
50206040031004120800711 ~2007
50206890831004137816711 ~2007
50209288133012557287911 ~2008
50209920711004198414311 ~2007
50212117311004242346311 ~2007
50213153631004263072711 ~2007
50213280831004265616711 ~2007
502143881331132920640712 ~2010
50216320431004326408711 ~2007
50217715338034834452911 ~2009
50219672391004393447911 ~2007
50219679111004393582311 ~2007
50220875031004417500711 ~2007
50221032111004420642311 ~2007
50222018514017761480911 ~2008
50223897533013433851911 ~2008
50226196311004523926311 ~2007
50226812213013608732711 ~2008
50227836294018226903311 ~2008
50231553831004631076711 ~2007
50234887311004697746311 ~2007
Exponent Prime Factor Dig. Year
50236296413014177784711 ~2008
50237052591004741051911 ~2007
502378557712057085384912 ~2009
50240892231004817844711 ~2007
50243374431004867488711 ~2007
50244212991004884259911 ~2007
50246471631004929432711 ~2007
50247310035024731003111 ~2008
50248213573014892814311 ~2008
50249677191004993543911 ~2007
50250992031005019840711 ~2007
50254838391005096767911 ~2007
50258209911005164198311 ~2007
50259363613015561816711 ~2008
50260253631005205072711 ~2007
50260687791005213755911 ~2007
50261194014020895520911 ~2008
50262726133015763567911 ~2008
50264439591005288791911 ~2007
502648907328148338808912 ~2010
50265342173015920530311 ~2008
50267713333016062799911 ~2008
50271792711005435854311 ~2007
50272132311005442646311 ~2007
50273583591005471671911 ~2007
Exponent Prime Factor Dig. Year
50274204231005484084711 ~2007
50274552894021964231311 ~2008
50275201613016512096711 ~2008
50276599218044255873711 ~2009
50276852511005537050311 ~2007
50278382511005567650311 ~2007
50279340078044694411311 ~2009
50279428973016765738311 ~2008
50285250831005705016711 ~2007
50285807213017148432711 ~2008
50285810874022864869711 ~2008
50286633831005732676711 ~2007
50289927231005798544711 ~2007
50295423591005908471911 ~2007
50295832431005916648711 ~2007
50296087613017765256711 ~2008
50299215111005984302311 ~2007
50299830831005996616711 ~2007
50302385697042333996711 ~2009
50303780573018226834311 ~2008
50305086111006101722311 ~2007
50308081791006161635911 ~2007
50310118791006202375911 ~2007
50311943031006238860711 ~2007
50312306213018738372711 ~2008
Exponent Prime Factor Dig. Year
50312988738050078196911 ~2009
50316260031006325200711 ~2007
50319741533019184491911 ~2008
50321354631006427092711 ~2007
50322960231006459204711 ~2007
50323547511006470950311 ~2007
50325137511006502750311 ~2007
50325271733019516303911 ~2008
50326396911006527938311 ~2007
50327328711006546574311 ~2007
503285936916105149980912 ~2010
50332523631006650472711 ~2007
50334651591006693031911 ~2007
50334914391006698287911 ~2007
503358642111073890126312 ~2009
503363236924161435371312 ~2010
50336323791006726475911 ~2007
50336558413020193504711 ~2008
50340502431006810048711 ~2007
50342972631006859452711 ~2007
50343816591006876331911 ~2007
50344299733020657983911 ~2008
50347720911006954418311 ~2007
50350327311007006546311 ~2007
50352071391007041427911 ~2007
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25-04-13