Erdős–Anning theorem
id:
erd-s-anning-theorem-247-10454514
title:
Erdős–Anning theorem
text:
The Erdős–Anning theorem states that, whenever an infinite number of points in the plane all have integer distances, the points lie on a straight line. The same result holds in higher dimensional Euclidean spaces. The theorem cannot be strengthened to give a finite bound on the number of points: there exist arbitrarily large finite sets of points that are not on a line and have integer distances. The theorem is named after Paul Erdős and Norman H. Anning, who published a proof of it in 1945. Er
brand slug:
wiki
category slug:
encyclopedia
description:
On sets of points with integer distances
original url:
https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Anning_theorem
date created:
date modified:
2024-01-14T19:57:19Z
main entity:
{"identifier":"Q3526982","url":"https://www.wikidata.org/entity/Q3526982"}
image:
fields total:
13
integrity:
14