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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
822179531164435906310 ~2001
822219683164443936710 ~2001
822223739164444747910 ~2001
822235553493341331910 ~2002
822238331164447666310 ~2001
822266579164453315910 ~2001
822274319164454863910 ~2001
822287113493372267910 ~2002
822320951164464190310 ~2001
822352379164470475910 ~2001
822366953493420171910 ~2002
822367267822367267110 ~2002
822373709657898967310 ~2002
822440519164488103910 ~2001
822459359164491871910 ~2001
8224619231973908615311 ~2003
8224626792796373108711 ~2004
822491503822491503110 ~2002
822493739164498747910 ~2001
822496957493498174310 ~2002
822508559164501711910 ~2001
822524603164504920710 ~2001
822550259164510051910 ~2001
822550331164510066310 ~2001
8225642711480615687911 ~2003
Exponent Prime Factor Digits Year
822566159658052927310 ~2002
822567191164513438310 ~2001
822642011164528402310 ~2001
822642593493585555910 ~2002
822647363164529472710 ~2001
822650399164530079910 ~2001
822657971164531594310 ~2001
822700559164540111910 ~2001
822718159822718159110 ~2002
822724223164544844710 ~2001
8227428531151839994311 ~2003
822760259164552051910 ~2001
822793019164558603910 ~2001
822820139164564027910 ~2001
822881291164576258310 ~2001
822902771164580554310 ~2001
822929777493757866310 ~2002
822948551164589710310 ~2001
822952211164590442310 ~2001
822983351164596670310 ~2001
823019819164603963910 ~2001
823035751823035751110 ~2002
823042091164608418310 ~2001
823042387823042387110 ~2002
823058591164611718310 ~2001
Exponent Prime Factor Digits Year
823060879823060879110 ~2002
823076707823076707110 ~2002
823118531164623706310 ~2001
823121459164624291910 ~2001
823172879164634575910 ~2001
823229579164645915910 ~2001
823257371164651474310 ~2001
823308061493984836710 ~2002
823315583164663116710 ~2001
823364611823364611110 ~2002
823377083164675416710 ~2001
823384379164676875910 ~2001
823387079164677415910 ~2001
823444463164688892710 ~2001
823467929658774343310 ~2002
82348000362584480228112 ~2007
823509611164701922310 ~2001
823535651164707130310 ~2001
823580063164716012710 ~2001
823597751164719550310 ~2001
823659383164731876710 ~2001
823724939164744987910 ~2001
823727833494236699910 ~2002
823778243164755648710 ~2001
823796483164759296710 ~2001
Exponent Prime Factor Digits Year
8238386571153374119911 ~2003
823866557494319934310 ~2002
823885151164777030310 ~2001
823885871164777174310 ~2001
823900151164780030310 ~2001
823916519164783303910 ~2001
823920533494352319910 ~2002
823932443164786488710 ~2001
823953239164790647910 ~2001
823971143164794228710 ~2001
823981703164796340710 ~2001
823988353494393011910 ~2002
824058479164811695910 ~2001
824062979164812595910 ~2001
824065019164813003910 ~2001
824065139164813027910 ~2001
824076551164815310310 ~2001
824097299164819459910 ~2001
824109959164821991910 ~2001
824133239164826647910 ~2001
82413694758019241068912 ~2007
824148203164829640710 ~2001
824155511164831102310 ~2001
824207003164841400710 ~2001
824212859164842571910 ~2001
3404
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25-05-04