Given that a has order 3 modulo p, where p is an odd prime, show that a + 1 must
Chapter 8, Problem 5(choose chapter or problem)
Given that a has order 3 modulo p, where p is an odd prime, show that a + 1 must haveorder 6 modulo p.[Hint: From a2 +a+ 1 = 0 (mod p), it follows that (a+ 1)2 =a (mod p) and(a+ 1)3 = -1 (mod p).]
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