Prove that ifp≥ 7 is prime, then there are always two consecutive nonzero quadratic residues ofp.

(Hint.First show that at least one of 2, 5, or 10 is a quadratic residue ofp.)

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- Nov 15th 2012, 09:34 PMhappykid12Number theory problem!!!
Prove that if

*p*≥ 7 is prime, then there are always two consecutive nonzero quadratic residues of*p*.

(**Hint.**First show that at least one of 2, 5, or 10 is a quadratic residue of*p*.)