google-deepmind / google-deepmind/formal-conjectures
Erdős Problem 661
Open
ams-51: Geometry
erdos-problems
new conjecture
- Dominant language
- Lean
- Stars
- 1.3k
- Forks
- 485
- Avg merge
- 1d 20h
- Merged PRs (30d)
- 327
Description
### What is the conjecture
https://www.erdosproblems.com/661
Are there, for all large $n$, some points $x_1,\ldots,x_n,y_1,\ldots,y_n\in \mathbb{R}^2$ such that the number of distinct distances $d(x_i,y_j)$ is
$$o\left(\frac{n}{\sqrt{\log n}}\right)?$$
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
Contributor guide
Assessment
This issue has not been assessed yet.