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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
58781064111175621282311 ~2007
58781662013526899720711 ~2008
58783677533527020651911 ~2008
58786067173527164030311 ~2008
58786719231175734384711 ~2007
58788951533527337091911 ~2008
58789781779406365083311 ~2010
58789800831175796016711 ~2007
58792314973527538898311 ~2008
58793570511175871410311 ~2007
58800626413528037584711 ~2008
588010015118816320483312 ~2010
58801570333528094219911 ~2008
58801665973528099958311 ~2008
58802347911176046958311 ~2007
58804184511176083690311 ~2007
58807763511176155270311 ~2007
58808198514704655880911 ~2009
58810392711176207854311 ~2007
58811863138233660838311 ~2009
58812454311176249086311 ~2007
58816074413528964464711 ~2008
58816249431176324988711 ~2007
58816900791176338015911 ~2007
58817634173529058050311 ~2008
Exponent Prime Factor Dig. Year
58817895831176357916711 ~2007
58820238013529214280711 ~2008
58823532831176470656711 ~2007
58824129111176482582311 ~2007
58824490311176489806311 ~2007
58825338231176506764711 ~2007
58827281511176545630311 ~2007
58829161311176583226311 ~2007
58830450111176609002311 ~2007
58831182075883118207111 ~2009
58831560111176631202311 ~2007
58833605511176672110311 ~2007
58833711831176674236711 ~2007
58833731031176674620711 ~2007
58834432311176688646311 ~2007
58836100791176722015911 ~2007
58836846413530210784711 ~2008
58838692911176773858311 ~2007
588387656314121303751312 ~2010
58843183431176863668711 ~2007
58843696431176873928711 ~2007
58845554595884555459111 ~2009
58848093533530885611911 ~2008
58849436991176988739911 ~2007
58851086391177021727911 ~2007
Exponent Prime Factor Dig. Year
58852731111177054622311 ~2007
58853397294708271783311 ~2009
58854454311177089086311 ~2007
588579708720011710095912 ~2010
58860554031177211080711 ~2007
58862955591177259111911 ~2007
58863838733531830323911 ~2008
58865242911177304858311 ~2007
58865484831177309696711 ~2007
58865510031177310200711 ~2007
58869363111177387262311 ~2007
58870657311177413146311 ~2007
58870882431177417648711 ~2007
58870980711177419614311 ~2007
588715351312951737728712 ~2010
58876143613532568616711 ~2008
588772348314130536359312 ~2010
58877707191177554143911 ~2007
58878822711177576454311 ~2007
58878891591177577831911 ~2007
58886494213533189652711 ~2008
58886796831177735936711 ~2007
58886892831177737856711 ~2007
588874222117666226663112 ~2010
58887984231177759684711 ~2007
Exponent Prime Factor Dig. Year
58889104311177782086311 ~2007
58889346711177786934311 ~2007
58890870915889087091111 ~2009
58892250711177845014311 ~2007
58892806431177856128711 ~2007
58900400631178008012711 ~2007
58900802391178016047911 ~2007
58901070591178021411911 ~2007
58902895431178057908711 ~2007
58903624311178072486311 ~2007
58905320698246744896711 ~2009
589075532914137812789712 ~2010
58908834831178176696711 ~2007
58911668391178233367911 ~2007
58912188973534731338311 ~2008
58913613174713089053711 ~2009
58916609031178332180711 ~2007
58921379631178427592711 ~2007
58927417911178548358311 ~2007
58930365373535821922311 ~2008
58931567391178631347911 ~2007
58931714479429074315311 ~2010
58932219591178644391911 ~2007
58935277191178705543911 ~2007
58936453431178729068711 ~2007
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25-09-07