Let p and q = 2p + 1 be primes, with p ≡ 3 (mod 4). Show that every quadratic non residue (mod q) not congruent to -1

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answerhappygod
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Let p and q = 2p + 1 be primes, with p ≡ 3 (mod 4). Show that every quadratic non residue (mod q) not congruent to -1

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Let p and q = 2p + 1 be primes, with p ≡ 3 (mod
4). Show that every quadratic non residue (mod q) not congruent to
-1 (mod q) is a primitive root (mod q).
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