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1) Find the primes p and q if n = pq= 4,386,607 and φ(n) = 4,382,136.

2) Explain why we should not choose primes p and q that are too close together to form the encrypting exponent n in the RSA cryptosystem. In particular, show that using a pair of twin primes for p and q would be disastrous. (Hint: Recall Fermat's factorization method.)

 

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