I am having a hard time understanding what exactly is meant by this question. Could someone give me a solution with a clear explanation?
If $x=467$, are 111 127 and 225 squares in $F_x$? Explain your answer without using prime factorizations.
For what primes q, is 7 a quadratic residue modulus q? (The answer should be in terms of a set of congruence conditions on q)