google-deepmind / google-deepmind/formal-conjectures

Erdős Problem 661

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ams-51: Geometry erdos-problems new conjecture
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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

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