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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
17149856772743977083311 ~2005
1714988183342997636710 ~2003
17150289291372023143311 ~2005
1715030279343006055910 ~2003
17150495776860198308111 ~2006
17151021771029061306311 ~2004
1715158751343031750310 ~2003
1715161823343032364710 ~2003
1715176691343035338310 ~2003
17151974831715197483111 ~2005
17152073711715207371111 ~2005
1715382479343076495910 ~2003
1715579423343115884710 ~2003
1715614343343122868710 ~2003
1715658491343131698310 ~2003
17156730793088211542311 ~2005
17157885731029473143911 ~2004
17158227115490632675311 ~2006
17158246131029494767911 ~2004
1715826071343165214310 ~2003
17159192531029551551911 ~2004
1715938883343187776710 ~2003
1715983943343196788710 ~2003
17160220731029613243911 ~2004
1716079019343215803910 ~2003
Exponent Prime Factor Digits Year
1716158663343231732710 ~2003
17161666331029699979911 ~2004
1716179519343235903910 ~2003
1716254471343250894310 ~2003
1716302579343260515910 ~2003
1716309071343261814310 ~2003
1716442811343288562310 ~2003
1716469031343293806310 ~2003
1716587363343317472710 ~2003
17166660531029999631911 ~2004
1716763991343352798310 ~2003
17168406111373472488911 ~2005
171685276912017969383112 ~2007
17168600211030116012711 ~2004
17168627873090353016711 ~2005
1717004123343400824710 ~2003
171700461715109640629712 ~2007
17171612231717161223111 ~2005
17171617371030297042311 ~2004
17171893011030313580711 ~2004
17172521836869008732111 ~2006
1717281311343456262310 ~2003
17174884031717488403111 ~2005
17175050511374004040911 ~2005
1717575551343515110310 ~2003
Exponent Prime Factor Digits Year
17175761531030545691911 ~2004
1717609163343521832710 ~2003
1717653863343530772710 ~2003
1717787243343557448710 ~2003
1717849799343569959910 ~2003
17178924891374313991311 ~2005
1717933103343586620710 ~2003
1717934483343586896710 ~2003
1718014139343602827910 ~2003
1718025971343605194310 ~2003
1718027219343605443910 ~2003
1718062799343612559910 ~2003
1718087159343617431910 ~2003
1718102843343620568710 ~2003
1718103239343620647910 ~2003
1718121599343624319910 ~2003
17181970997216427815911 ~2006
1718318279343663655910 ~2003
17183618332405706566311 ~2005
1718498471343699694310 ~2003
17185082991374806639311 ~2005
1718553839343710767910 ~2003
1718647379343729475910 ~2003
17187055571031223334311 ~2004
1718775323343755064710 ~2003
Exponent Prime Factor Digits Year
1718814059343762811910 ~2003
17188324972406365495911 ~2005
1718838623343767724710 ~2003
1718854979343770995910 ~2003
17189336475844374399911 ~2006
17190041211031402472711 ~2004
17190094036876037612111 ~2006
17192083911375366712911 ~2005
1719227423343845484710 ~2003
17192825811375426064911 ~2005
1719313811343862762310 ~2003
1719320951343864190310 ~2003
1719331571343866314310 ~2003
17193631975158089591111 ~2006
1719369083343873816710 ~2003
1719431783343886356710 ~2003
17194824971031689498311 ~2004
1719491723343898344710 ~2003
1719527591343905518310 ~2003
17195319731031719183911 ~2004
1719544979343908995910 ~2003
17195830811031749848711 ~2004
1719596243343919248710 ~2003
1719807731343961546310 ~2003
17198681597223446267911 ~2006
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25-05-04