Quadratic Reciprocity / Legendre symbol/ Congruence Question
I know that $(\frac{5}{p})=1$ $\leftrightarrow$ $p=1,4mod5$
I want to know $(\frac{5}{p})=-1$ $\leftrightarrow$ ?....
My Attempt
I know that $(\frac{5}{p})=-1$ will be the complementary congruence conditions on prime numbers reduced mod 5. I think I need to know what can $p mod 5$ be for a prime (other than 1 or 4) if p is NOT 1 or 4 mod 5? Not sure how to approach this