{"schema":"vela.problem-packet.v0.1","problem":678,"statement":"Let $M(n,k)=[n+1,\\ldots,n+k]$ be the least common multiple of $\\{n+1,\\ldots,n+k\\}$.Are there infinitely many $m,n$ and $k\\geq 3$ with $m\\geq n+k$ such that\\[M(n,k)>M(m,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)"}