# The law of quadratic reciprocity 'or' statement

I have just seen written that $$(\frac{17}{101})$$ = $$(\frac{101}{17})$$. But doesn't the law of quadratic reciprocity state that $$(\frac{p}{q})$$ = $$(\frac{q}{p})$$ if $$p\equiv1 mod 4$$ OR $$q\equiv1mod4$$?

• In mathematics, "or" is almost always inclusive, so we allow for both conditions to hold. – Wojowu Mar 9 at 11:30