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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
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
8238386571153374119911 ~2003
823866557494319934310 ~2002
823885151164777030310 ~2001
Exponent Prime Factor Digits Year
823885871164777174310 ~2001
823900151164780030310 ~2001
823916519164783303910 ~2001
823920533494352319910 ~2002
823932443164786488710 ~2001
823953239164790647910 ~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
824240771164848154310 ~2001
824261183164852236710 ~2001
824262443164852488710 ~2001
824275559164855111910 ~2001
Exponent Prime Factor Digits Year
8243073711483753267911 ~2003
824310341659448272910 ~2002
824338283164867656710 ~2001
824344091164868818310 ~2001
824361971164872394310 ~2001
824367191164873438310 ~2001
824367457494620474310 ~2002
824368141494620884710 ~2002
824389697494633818310 ~2002
8243965271978551664911 ~2003
824399519164879903910 ~2001
824425883164885176710 ~2001
824453183164890636710 ~2001
824526743164905348710 ~2001
8245348614617395221711 ~2004
824540741494724444710 ~2002
824559803164911960710 ~2001
824579039164915807910 ~2001
8246126531319380244911 ~2003
824620151164924030310 ~2001
824628011164925602310 ~2001
824652011164930402310 ~2001
824654423164930884710 ~2001
824801969659841575310 ~2002
824813261494887956710 ~2002
Exponent Prime Factor Digits Year
824826143164965228710 ~2001
824826911164965382310 ~2001
8248619091154806672711 ~2003
824885219164977043910 ~2001
8248874119898648932111 ~2005
824961947659969557710 ~2002
824974859659979887310 ~2002
825036479165007295910 ~2001
8250486671320077867311 ~2003
825051011165010202310 ~2001
8250544791485098062311 ~2003
825070091165014018310 ~2001
8250709571320113531311 ~2003
825081671165016334310 ~2001
825095879165019175910 ~2001
8251157411815254630311 ~2003
825115919165023183910 ~2001
825123193495073915910 ~2002
8251242171155173903911 ~2003
825128411165025682310 ~2001
825233411165046682310 ~2001
825237689660190151310 ~2002
825248591165049718310 ~2001
825263039165052607910 ~2001
825271283165054256710 ~2001
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25-04-13