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Results tagged with quadratic-residues
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user 35673
5
votes
Does there exist a non-square number which is the quadratic residue of every prime?
Let $a$ be any non-square. Then write $a=p^nm$ for some odd $n$ and prime $p$ which does not divide $m$. By Dirichlet's Theorem on primes in arithmetic progressions and the Chinese Remainder Theorem w …
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