# Math Help - fi(n)

1. ## fi(n)

Prove that there is no natural number n such that n=2006* fi(n)
(when fi is euler function)

2. ## Re: fi(n)

For the case where n is prime, it's easy to see that the only solution you will get is p = 0 which is not possible. For the case where n is not a prime, it can be broken down into a bunch of primes. That part requires a bit of thinking and euler's product formula.