# Conlon, David

## Rainbow AP(4) in an almost equinumerous coloring ★★

Author(s): Conlon

\begin{problem} Do 4-colorings of $\mathbb{Z}_{p}$, for $p$ a large prime, always contain a rainbow $AP(4)$ if each of the color classes is of size of either $\lfloor p/4\rfloor$ or $\lceil p/4\rceil$? \end{problem}

Keywords: arithmetic progression; rainbow