Question: 4. Let a, b be integers and p a prime number. Suppose that gcd (a, p) = p and that gcd (b, p4)=p. Find

4. Let a, b be integers and p a prime number. Suppose

4. Let a, b be integers and p a prime number. Suppose that gcd (a, p) = p and that gcd (b, p4)=p. Find all possible values of (a) gcd (ab, p5). (b)gcd(a+b, p4)

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