# Problem to Brilliant ! 6

What is the value of $$n$$ for which Euler's Totient Function $$\varphi (n)$$ is maximum, for $$n \leq 105000$$

Details and assumptions:-

$$\bullet$$ $$\varphi(x)$$ gives the number of positive integers less than $$x$$ which are coprime to $$x$$.

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