# One to One Map : Suppose that p is a prime number ≥ 3 and r1, r2...rp is a complete residue system of modulo p. Prove that r1+r2+...+rp is divisible by p.

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Suppose that p is a prime number ≥ 3 and r1, r2...rp is a complete residue system of modulo p. Prove that r1+r2+...+rp is divisible by p.

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Proof:

Since is a prime ...

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It is proven that r1+r2+...+rp is divisible by p. The solution is detailed and well presented.

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