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edited Sep 1, 2013 at 19:24

Quadratic residue

I want to know whether there exist a non-square number $n$ which is the quadratic residue of every prime. I know it is very elementary, and I think those kind of number are not exist, but I don't know
how to prove.

nt.number-theory quadratic-residues

asked Jul 5, 2013 at 4:12

Paul