# Roth's theorem on arithmetic progressions

> On the existence of arithmetic progressions in subsets of the natural numbers

**Wikidata**: [Q56313802](https://www.wikidata.org/wiki/Q56313802)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Roth's_theorem_on_arithmetic_progressions)  
**Source**: https://4ort.xyz/entity/roth-s-theorem-on-arithmetic-progressions
