Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

The Van der Waerden number $w(l,k)$ is the least $n$ such that for every $k$-coloring of $[n]$ has a monochromatic $l$-term arithmetic progression. Prove that $w(l,k)>(lk^{l-1})^{1/2}$

Give some hints.

share|improve this question
This looks like a job for the probabilistic method. –  Chris Eagle Jan 29 '13 at 19:10
Yes, what's more details? –  user60134 Jan 29 '13 at 19:13
The question begs for a please... –  Sasha Jan 29 '13 at 19:14
What makes you think I have any more details? And what happened to wanting "hints"? –  Chris Eagle Jan 29 '13 at 19:14

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.