Problem

erdos:138

If $W(k)$ is the least $N$ such that every two-colouring of $\{1, \dots, N\}$ contains a monochromatic $k$ -term arithmetic progression, must $W(k+1) - W(k) \to \infty$ ?

Open Current State

Declared status: open
Formalization: formalized
Prize: $500
Subjects: additive combinatorics
OEIS: A005346
Sources: source:erdos-ai-contributions-wikisource:erdos-problemssource:formal-conjecturessource:vibemathed
Statement: www.erdosproblems.com

Matching claims

0

No direct claims

This problem has no directly related claim record.

Browse this Repository’s Claims