a. Let p is a prime. By using Wilson's Theorem, prove that, (p−2)!≡1(modp). [6 marks] b. Let p,q be distinct primes. Pro
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a. Let p is a prime. By using Wilson's Theorem, prove that, (p−2)!≡1(modp). [6 marks] b. Let p,q be distinct primes. Prove that, pq∣(apq−ap−aq+a). [Hint: Use Corollary 1 (Fermat/ Wilson/ Euler Theorem) and Corollary 3 (Divisibility)]
a. Let p is a prime. By using Wilson's Theorem, prove that, (p−2)!≡1(modp). [6 marks] b. Let p,q be distinct primes. Prove that, pq∣(apq−ap−aq+a). [Hint: Use Corollary 1 (Fermat/ Wilson/ Euler Theorem) and Corollary 3 (Divisibility)]