{"schema":"vela.problem-packet.v0.1","problem":1058,"statement":"Let $2=p_1<p_2<\\cdots$ be the sequence of prime numbers. Are there only finitely many $n$ such that $n\\in [p_{k-1},p_k)$ and the only primes dividing $n!+1$ are $p_{k}$ and $p_{k+1}$?","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)"}