A 423 Antoine Verroken
Somme(1/xi , i = 1..6) + 1 / produit(xi , i=1..6) = 1 1. x1 = 3
1/3 + 1/5 + 1/7 + 1/11 + 1/13 + 1/17 + 1/255255 = 0.902.. impossible 2. x1 = 2
½ + 1/3 +1/5 +1/7 = 1.176
½ + 1/3 + 1/7 + 1/11 = 1.067
½ + 1/3 + 1/11 + 1/13 = 1.001
½ + 1/3 + 1/11 + 1/17 + 1/19 = 1.035
½ + 1/3 + 1/11 + 1/19 + 1/23 = 1.020
½ + 1/3 + 1/11 + 1/23 + 1/29 = 1.002
½ + 1/3 + 1/11 + 1/23 + 1/31 = 0.990
½ + 1/3 + 1/11 + 1/23 + 1/31 + 1/p + 1/47058/p = 1 p = 47059 nombre premier
½ + 1/3 + 1/11 + 1/23 +1/31 + 1/47087 + 1/47058/47087 = 0.9999..
3. solution
½ + 1/3 +1/11 + 1/23 + 1/31 + 1/47059 + 1/47058/47059 = 1
Entier : 47058*47059 = 2.214.502.422
