Erdős Problem 768

### What is the conjecture

https://www.erdosproblems.com/768

Let $A\subset\mathbb{N}$ be the set of $n$ such that for every prime $p\mid n$ there exists some $d\mid n$ with $d>1$ such that $d\equiv 1\pmod{p}$. Is it true that there exists some constant $c>0$ such that for all large $N$
$$\frac{\lvert A\cap [1,N]\rvert}{N}=\exp(-(c+o(1))\sqrt{\log N}\log\log N).$$

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

No files, tests, or entry points are mentioned. Start by locating how existing Erdős conjectures are represented in the formal-conjectures repository and determine the expected formal statement for Problem 768. Done means the conjecture is added in the project's accepted form and the relevant checks pass.

Written by the indexing model from the issue text.