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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
85803395391716067907911 ~2009
85810310511716206210311 ~2009
85810817031716216340711 ~2009
85812405711716248114311 ~2009
85813760991716275219911 ~2009
85815146031716302920711 ~2009
85815675175148940510311 ~2010
85817553591716351071911 ~2009
85821934911716438698311 ~2009
85822710591716454211911 ~2009
85823053215149383192711 ~2010
85826512191716530243911 ~2009
85832697591716653951911 ~2009
85833272935149996375911 ~2010
85834746596866779727311 ~2010
85837331991716746639911 ~2009
85837490991716749819911 ~2009
858378916748069219335312 ~2012
85838050815150283048711 ~2010
85838625711716772514311 ~2009
85849230711716984614311 ~2009
85851058215151063492711 ~2010
85852364031717047280711 ~2009
85857243615151434616711 ~2010
858656005313738496084912 ~2011
Exponent Prime Factor Dig. Year
85866730016869338400911 ~2010
85867091991717341839911 ~2009
85874584975152475098311 ~2010
858762909713740206555312 ~2011
858803602925764108087112 ~2011
85880967116870477368911 ~2010
85882981431717659628711 ~2009
85886590311717731806311 ~2009
858866841115459603139912 ~2011
85887552711717751054311 ~2009
85888126911717762538311 ~2009
85894351311717887026311 ~2009
85895555991717911119911 ~2009
85896202935153772175911 ~2010
85897500535153850031911 ~2010
85901604591718032091911 ~2009
85904198391718083967911 ~2009
85910501991718210039911 ~2009
85913140976873051277711 ~2010
85915689615154941376711 ~2010
85919854015155191240711 ~2010
85919940678591994067111 ~2010
85921493096873719447311 ~2010
85924051191718481023911 ~2009
85927242415155634544711 ~2010
Exponent Prime Factor Dig. Year
85927483375155649002311 ~2010
85933534791718670695911 ~2009
85934927511718698550311 ~2009
85940857916875268632911 ~2010
85943784975156627098311 ~2010
85944048111718880962311 ~2009
85944209511718884190311 ~2009
85948680591718973611911 ~2009
85948699575156921974311 ~2010
85950764391719015287911 ~2009
85956571791719131435911 ~2009
85957602231719152044711 ~2009
85959329511719186590311 ~2009
85959888111719197762311 ~2009
85961709375157702562311 ~2010
85962807111719256142311 ~2009
85964855631719297112711 ~2009
85965293391719305867911 ~2009
85965326991719306539911 ~2009
85967019231719340384711 ~2009
85970785431719415708711 ~2009
85974691311719493826311 ~2009
85976118711719522374311 ~2009
85977946191719558923911 ~2009
85984671831719693436711 ~2009
Exponent Prime Factor Dig. Year
85986284838598628483111 ~2010
859886184734395447388112 ~2012
85991245911719824918311 ~2009
85991441391719828827911 ~2009
85992613431719852268711 ~2009
85992965391719859307911 ~2009
85997443191719948863911 ~2009
85998825231719976504711 ~2009
86001710031720034200711 ~2009
86003784591720075691911 ~2009
86005883511720117670311 ~2009
86007021711720140434311 ~2009
86007862791720157255911 ~2009
860111565115482008171912 ~2011
860138485122363600612712 ~2011
86014581111720291622311 ~2009
86018108631720362172711 ~2009
860199379732687576428712 ~2012
860206975325806209259112 ~2011
86021595231720431904711 ~2009
86021898111720437962311 ~2009
86022235791720444715911 ~2009
86028321231720566424711 ~2009
86031221631720624432711 ~2009
86040952431720819048711 ~2009
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25-11-02