# van der Waerden's theorem

> English word · Proper noun

## Definitions
1. In Ramsey theory, a theorem stating that, for any given positive integers r and k, there is some number N such that if the integers {1, 2, ..., N} are colored, each with one of r different colors, then there are at least k integers in arithmetic progression whose elements are of the same color.

## Etymology
Named after the Dutch mathematician B. L. van der Waerden.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/van-der-waerden-s-theorem