www.mikescher.com/www/statics/euler/Euler_Problem-069_description.md

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.