Euler's Totient function, `phi(n)` (sometimes called the phi function), is used to determine the number of numbers less than n which are relatively prime to n. For example, as 1, 2, 4, 5, 7, and 8, are all less than nine and relatively prime to nine, `phi(9)=6`. n | Relatively Prime | phi(n) | n/phi(n) ---|------------------|--------|------- 2 | 1 | 1 | 2 3 | 1,2 | 2 | 1.5 4 | 1,3 | 2 | 2 5 | 1,2,3,4 | 4 | 1.25 6 | 1,5 | 2 | 3 7 | 1,2,3,4,5,6 | 6 | 1.1666... 8 | 1,3,5,7 | 4 | 2 9 | 1,2,4,5,7,8 | 6 | 1.5 10 | 1,3,7,9 | 4 | 2.5 It can be seen that n=6 produces a maximum `n/phi(n)` for `n <= 10`. Find the value of `n <= 1,000,000` for which `n/phi(n)` is a maximum.