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Problem on Prime theory

Suppose that p and q are different primes and n = pq.

(i) Express p + q in terms of Ø(n) and n.

(ii) Express p - q in terms of p + q and n.

(iii) Explain how to find p and q from n and Ø(n).

(iv) If n = 14647 and Ø(n) = 14400 find p and q.

(v) What is the impact of this on RSA?

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