Question:

If p is an odd prime and gcd (ab, p)=1, prove that at least one of a, b, or ab is a quadratic residue of p.

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- May 11th 2009, 02:44 PMcathwelchLegendre Symbol
Question:

If p is an odd prime and gcd (ab, p)=1, prove that at least one of a, b, or ab is a quadratic residue of p. - May 11th 2009, 03:56 PMPaulRS
Prove it by contradiction, assume none of them were a quadratic residue, then however remember that (Wink)