zak seidov wrote: > > All terms are even? > Equation 2^n + 3^n = x^2 has no solution (with integer > x and n)? > That's correct. For n>=2, 2^n+3^n falls into a pattern of quadratic non-residues, taken modulo 20: 13, 15, 17, 15, 13, 15, 17, 15, ...