A114705

Jack Brennen jb at brennen.net
Mon Dec 26 07:56:46 CET 2005


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, ...






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