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Complete Residue Systems : Suppose that p is a prime number ≥ 3. We can write 1 + 1/2 + 1/3 + 1/(p-1) = a/b with (a,b) =1. Prove that p divides a.

Suppose that p is a prime number ≥ 3. We can write 1 + 1/2 + 1/3 + 1/(p-1) = a/b with (a,b) =1. Prove that p divides a.

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A Complete Residue System is investigated. The solution is detailed and well presented.

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