Question: 3. a. Let m be a positive integer such that (m) = 480 . Find a positive integer s such that s = 23*(modm), where

3. a. Let m be a positive integer such that (m) = 480 . Find a positive integer s such that s = 23*(modm), where god(23, m) = 1. [7 marks] b. Let p and q are odd primes. By using the contradiction method, prove that pq is not be a perfect number. [Hint: o (n) = n +1 if and only if n is a prime number , where or is a multiplicative function] [13 marks]

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