Erdős problem 89

Erdős [Er46] asked whether every set of $n$ distinct points in $\mathbb{R}^2$ determines $\gg \frac{n}{\sqrt{\log n}}$ many distinct distances.

Sources

The source's own material, retained exactly.

4 retained statements36c6d0fef71a

FormalConjectures/ErdosProblems/

89.lean

Retained formal statement1 of 4

Erdős [Er46] asked whether every set of $n$ distinct points in $\mathbb{R}^2$ determines $\gg \frac{n}{\sqrt{\log n}}$ many distinct distances.

FormalConjectures/ErdosProblems/89.leanErdos89.erdos_891 lineExact file

1(fun n => ↑n / √(Real.log ↑n)) =O[Filter.atTop] fun n => ↑(EuclideanGeometry.minimalDistinctDistances n)

OpenStatement only, no proof