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(a) Suppose that 71 and 72 are quadratic non-residues modulo an odd prime p. Does x2 = 12 (mod p) have a solution? (b) Suppose

(a) Suppose that 71 and 72 are quadratic non-residues modulo an odd prime p. Does x2 = 12 (mod p) have a solution? (b) Suppose r is a quadratic non-residues modulo odd primes p and q. Does a =r (mod pq) have a solution

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