{"schema":"vela.problem-packet.v0.1","problem":964,"statement":"Let $\\tau(n)$ count the number of divisors of $n$. Is the sequence\\[\\frac{\\tau(n+1)}{\\tau(n)}\\]everywhere dense in $(0,\\infty)$?","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)"}