{"schema":"vela.problem-packet.v0.1","problem":286,"statement":"Let $k\\geq 2$. Is it true that there exists an interval $I$ of width $(e-1+o(1))k$ and integers $n_1<\\cdots<n_k\\in I$ such that\\[1=\\frac{1}{n_1}+\\cdots+\\frac{1}{n_k}?\\]","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)"}