{"schema":"vela.problem-packet.v0.1","problem":984,"statement":"Can $\\mathbb{N}$ be $2$-coloured such that if\\[\\{a,a+d,\\ldots,a+(k-1)d\\}\\]is a $k$-term monochromatic arithmetic progression then $k\\ll_\\epsilon a^\\epsilon$ for all $\\epsilon>0$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}