Question: 4. (a) Prove that if p > 3 is prime, then [1]p . [2]p . . . [p - 2] = [1]p. Hint: What does

4. (a) Prove that if p > 3 is prime, then [1]p . [2]p . . . [p - 2] = [1]p. Hint: What does the previous problem tell us about the inverses of [2]p, ..., [p - 2]p? (b) If n is composite and not a perfect square, then [1]n . [2,] . . .[n - 1], = [0]n

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