{"schema":"vela.problem-packet.v0.1","problem":405,"statement":"Let $p$ be an odd prime. Is it true that the equation\\[(p-1)!+a^{p-1}=p^k\\]has only finitely many solutions?","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)"}