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Is there a perfect square that leaves a remainder of 7 when divided by 82? We don't need to list out all the squares, but just need to check that (7/82)=-1.

# Quadratic Residues - Primes

Is 5 a quadratic residue modulo 7?

Which of these is the set of non-quadratic residues modulo $$11$$?

Which of these is the set of quadratic residues modulo $$15$$?

Find the sum of all positive integers $$x<22$$ such that $$x^2 \equiv 17 \pmod {22}$$.

Is $$15$$ a quadratic residue modulo $$17$$?

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