Erdős problem 98

Let $h(n)$ be such that any $n$ points in $\mathbb{R}^2$ , with no three on a line and no four on a circle, determine at least $h(n)$ distinct distances. Does $h(n)/n\to \infty$ ?

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FormalConjectures/ErdosProblems/

98.lean

Retained formal statement1 of 2

Let $h(n)$ be such that any $n$ points in $\mathbb{R}^2$ , with no three on a line and no four on a circle, determine at least $h(n)$ distinct distances. Does $h(n)/n\to \infty$ ?

FormalConjectures/ErdosProblems/98.leanErdos98.erdos_981 lineExact file

1True ↔ Filter.Tendsto (fun n => ↑(Erdos98.h n) / ↑n) Filter.atTop Filter.atTop

OpenStatement only, no proof