{"schema":"vela.problem-packet.v0.1","problem":287,"statement":"Let $k\\geq 2$. Is it true that, for any distinct integers $1<n_1<\\cdots <n_k$ such that\\[1=\\frac{1}{n_1}+\\cdots+\\frac{1}{n_k}\\]we must have $\\max(n_{i+1}-n_i)\\geq 3$?","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)"}