Erdős Problem 217

### What is the conjecture

https://www.erdosproblems.com/217

For which $n$ are there $n$ points in $\mathbb{R}^2$, no three on a line and no four on a circle, which determine $n-1$ distinct distances and so that (in some ordering of the distances) the $i$th distance occurs $i$ times?

Status: open

### Prerequisites needed
see also https://github.com/google-deepmind/formal-conjectures/issues/369, https://github.com/google-deepmind/formal-conjectures/issues/328 and #425 with similar hypothesis.

### 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