Suppose that p is a prime and p 2. Let a be a nonsquare in

Chapter 22, Problem 31E

(choose chapter or problem)

Suppose that p is a prime and p ? 2. Let a be a nonsquare in GF(p)—that is, a does not have the form b2 for any b in GF(p). Show that a is a nonsquare in GF(pn) if n is odd and that a is a square in GF(pn) if n is even.

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