{"schema":"vela.problem-packet.v0.1","problem":384,"statement":"If $1<k<n-1$ then $\\binom{n}{k}$ is divisible by a prime $p<n/2$ (except $\\binom{7}{3}=5\\cdot 7$).","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)"}