Erdős Problem 1005

### What is the conjecture

https://www.erdosproblems.com/1005

Let $\frac{a_1}{b_1},\frac{a_2}{b_2},\ldots$ be the Farey fractions of order $n\geq 4$. Let $f(n)$ be the largest integer such that if $1\leq k0$ such that $f(n)=(c+o(1))n$ for all large $n$?

Status: open

### Choose either option
- [ ] I plan on working on this conjecture
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else

Start by reading the linked Erdős Problem 1005 statement, then inspect existing formalized conjectures in the repository for conventions and entry points. Done means adding a formal statement of this conjecture to the collection and confirming it follows the repository's expected checks.

Written by the indexing model from the issue text.