{"schema":"vela.problem-packet.v0.1","problem":1201,"statement":"Is it true that for every $\\epsilon,\\eta>0$ there exists a $k$ such that the density of $n$ for which\\[P(n(n+1)\\cdots(n+k))>n^{1-\\epsilon}\\]is at least $1-\\eta$ (where $P(m)$ is the greatest prime divisor of $m$)?","status":"open","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)"}