Given that a is a quadratic residue of the odd prime p, prove the following:(a) a is not

Chapter 9, Problem 5

(choose chapter or problem)

Given that a is a quadratic residue of the odd prime p, prove the following:(a) a is not a primitive root of p.(b) The integer p - a is a quadratic residue or nonresidue of p according as p = 1(mod 4) or p = 3 (mod 4).(c) If p = 3 (mod 4), then x = a(p+l)/4 (mod p) are the solutions of the congruencex2 =a (mod p).

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