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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
82296682311645933646311 ~2008
82299284391645985687911 ~2008
82300115511646002310311 ~2008
82300867791646017355911 ~2008
82303561574938213694311 ~2010
823066079926338114556912 ~2011
82309728111646194562311 ~2008
82311043311646220866311 ~2008
82313190534938791431911 ~2010
82323921231646478424711 ~2008
82330692974939841578311 ~2010
82332945231646658904711 ~2008
82333587974940015278311 ~2010
82348209591646964191911 ~2008
82351491591647029831911 ~2008
82361019831647220396711 ~2008
82361540216588923216911 ~2010
82362378596588990287311 ~2010
82369494111647389882311 ~2008
82377945111647558902311 ~2008
82382215311647644306311 ~2008
82385633511647712670311 ~2008
82387426191647748523911 ~2008
82389162711647783254311 ~2008
82389254511647785090311 ~2008
Exponent Prime Factor Dig. Year
82398443631647968872711 ~2008
823999176124719975283112 ~2011
82402671591648053431911 ~2008
82406193111648123862311 ~2008
82410409796592832783311 ~2010
82411244991648224899911 ~2008
82411515591648230311911 ~2008
82411859696592948775311 ~2010
82412899638241289963111 ~2010
82413401718241340171111 ~2010
82419227511648384550311 ~2008
82426546814945592808711 ~2010
82427159631648543192711 ~2008
82428295791648565915911 ~2008
82428693591648573871911 ~2008
82429369791648587395911 ~2008
82430267511648605350311 ~2008
82430396991648607939911 ~2008
82432212711648644254311 ~2008
82437798711648755974311 ~2008
82438322096595065767311 ~2010
824444378924733331367112 ~2011
82445556591648911131911 ~2008
82452247278245224727111 ~2010
824543914919789053957712 ~2011
Exponent Prime Factor Dig. Year
82456666191649133323911 ~2008
82462560591649251211911 ~2008
82466979231649339584711 ~2008
824720203914844963670312 ~2011
82484474391649689487911 ~2008
82493153511649863070311 ~2008
82496258031649925160711 ~2008
825022241311550311378312 ~2011
82502570396600205631311 ~2010
82503195591650063911911 ~2008
82505711774950342706311 ~2010
82518519111650370382311 ~2008
82519644111650392882311 ~2008
82519891911650397838311 ~2008
82523337734951400263911 ~2010
82527511191650550223911 ~2008
82527739791650554795911 ~2008
825326600911554572412712 ~2011
825332051319807969231312 ~2011
82534618311650692366311 ~2008
82537205391650744107911 ~2008
82542567111650851342311 ~2008
82543578831650871576711 ~2008
82546100511650922010311 ~2008
82546573191650931463911 ~2008
Exponent Prime Factor Dig. Year
82549283718254928371111 ~2010
82554058911651081178311 ~2008
82556862231651137244711 ~2008
82558417191651168343911 ~2008
82559038791651180775911 ~2008
82559523591651190471911 ~2008
82561177911651223558311 ~2008
82562481111651249622311 ~2008
82563306111651266122311 ~2008
82565424711651308494311 ~2008
82566668391651333367911 ~2008
82567214631651344292711 ~2008
82569244191651384883911 ~2008
82569889974954193398311 ~2010
82572481191651449623911 ~2008
82573113896605849111311 ~2010
82574067711651481354311 ~2008
82574565231651491304711 ~2008
82574658231651493164711 ~2008
82574758791651495175911 ~2008
82575068991651501379911 ~2008
82575868191651517363911 ~2008
82576409991651528199911 ~2008
82577892831651557856711 ~2008
82586597511651731950311 ~2008
4222
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25-05-04