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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
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
82549283718254928371111 ~2010
82554058911651081178311 ~2008
Exponent Prime Factor Dig. Year
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
82597696431651953928711 ~2008
82602054534956123271911 ~2010
Exponent Prime Factor Dig. Year
82603596438260359643111 ~2010
82604634111652092682311 ~2008
82608048591652160971911 ~2008
82608893631652177872711 ~2008
82609006431652180128711 ~2008
82611055431652221108711 ~2008
826148779134698248722312 ~2012
826203467319828883215312 ~2011
82622625831652452516711 ~2008
82632338996610587119311 ~2010
82633198911652663978311 ~2008
82635653391652713067911 ~2008
82647285231652945704711 ~2008
82648341974958900518311 ~2010
82649680911652993618311 ~2008
82656142431653122848711 ~2008
82660528911653210578311 ~2008
82672048431653440968711 ~2008
82672376511653447530311 ~2008
82673609396613888751311 ~2010
82679674431653593488711 ~2008
82682057631653641152711 ~2008
82683758534961025511911 ~2010
82684921016614793680911 ~2010
82685046534961102791911 ~2010
Exponent Prime Factor Dig. Year
82687522014961251320711 ~2010
82687923174961275390311 ~2010
82692767511653855350311 ~2008
826930059713230880955312 ~2011
82693625391653872507911 ~2008
82694798991653895979911 ~2008
82696465311653929306311 ~2008
82697937831653958756711 ~2008
82699142031653982840711 ~2008
82699978191653999563911 ~2008
82702278111654045562311 ~2008
82715573631654311472711 ~2008
827191859326470139497712 ~2011
82721817116617745368911 ~2010
82723173318272317331111 ~2010
82723288191654465763911 ~2008
82723739534963424371911 ~2010
82727320431654546408711 ~2008
82727650878272765087111 ~2010
82737698774964261926311 ~2010
82737960596619036847311 ~2010
827398927174465903439112 ~2013
82751115831655022316711 ~2008
82751522991655030459911 ~2008
82754364614965261876711 ~2010
4345
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25-07-20