Question: * Problem 5 (20 points) Suppose n is a large odd number and k that k 2 1 (mod n) andk 2(n-1)/2 (mod n) is

* Problem 5 (20 points) Suppose n is a large odd

* Problem 5 (20 points) Suppose n is a large odd number and k that k 2 1 (mod n) andk 2(n-1)/2 (mod n) is such 1 (mod n). Explain why this implies that n is not (b) Suppose 1 (mod n). Explain how to use this information to (-1) (mod n). Suppose k2 prime. (a) factor n.2 Hint: k2-1 (k+1)(k-1)

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