# Problem 69: Totient maximum
Euler's Totient function, φ(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, φ(9)=6. n Relatively Prime φ(n) n/φ(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/φ(n) for n ≤ 10. Find the value of n
≤ 1,000,000 for which n/φ(n) is a maximum.