Eulers totient, continued. Suppose p and q are unequal primes. Prove the following: a

Chapter 39, Problem 39.17

(choose chapter or problem)

Eulers totient, continued. Suppose p and q are unequal primes. Prove the following: a. '.p/ D p 1. b. '.p2 / D p 2 p. c. '.pn / D p n p n1 where n is a positive integer. d. '.pq/ D pq q p C 1 D .p 1/.q 1/.

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