I am working on challenge 243 from Project Euler (PE 243). The question is:
$\text{Solve } \phi (n) < (n-1)\cdot \frac{15499}{94744}$
I can calculate $\phi(n)$ for any $n$, but I think the $n$ which solves the problem is larger than the range I can brute force. I have never before worked with $\phi(n)$ before, but I'd love to learn how to solve this kind of problem.
Research on Google gave me definitions of $\phi(n)$, which I already know, but nothing to help me solve the problem. If you could give me any tips in the right direction, and NOT the answer. Thanks in advance.
Edit: I found a clue: $\phi(n) \ge \sqrt{n}$ This should give me a limit where $n$ will always give me a number larger than the desired result. I'm working on it.