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Euler's Quadratic Residue Theorem

A number $D$ that possesses no common divisor with a prime number $p$ is either a Quadratic Residue or nonresidue of $p$, depending whether $D^{(p-1)/2}$ is congruent mod $p$ to $\pm 1$.




© 1996-9 Eric W. Weisstein
1999-05-25