Question: 2. a. Let p is a prime. By using Wilson's Theorem, prove that, (p-2)! = 1 (mod p). [6 marks] b. Let p, q be

2. a. Let p is a prime. By using Wilson's Theorem, prove that, (p-2)! = 1 (mod p). [6 marks] b. Let p, q be distinct primes. Prove that, pal (a9 - al - a + a). [Hint: Use Corollary 1 (Fermat/ Wilson/ Euler Theorem) and Corollary 3 (Divisibility)] [14 marks]

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