Given some N, find the i for which φ(i)/i is the largest among all 2≤i≤N.

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For some N, let P be the largest prime less than or equal to N, and C be some composite number less than or equal to N.If we have proved that φ(C)/C < ((P - 1) / P) then how can we say that φ(C)/C < φ(P)/P? The problem is in with reference to https://discuss.codechef.com/questions/9723/witmath-editorial

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With the help of comment of ERICK ,we just need to substitute p-1 with phi(p) as phi(p) for any prime p is p-1.