{"schema":"vela.problem-packet.v0.1","problem":294,"statement":"Let $N\\geq 1$ and let $t(N)$ be the least integer $t$ such that there is no solution to\\[1=\\frac{1}{n_1}+\\cdots+\\frac{1}{n_k}\\]with $t=n_1&#60;\\cdots &#60;n_k\\leq N$. Estimate $t(N)$.","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)"}