{"schema":"vela.problem-packet.v0.1","problem":293,"statement":"Let $k\\geq 1$ and let $v(k)$ be the minimal integer which does not appear as some $n_i$ in a solution to\\[1=\\frac{1}{n_1}+\\cdots+\\frac{1}{n_k}\\]with $1\\leq n_1<\\cdots <n_k$. Estimate the growth of $v(k)$.","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)"}