{"schema":"vela.problem-packet.v0.1","problem":248,"statement":"Are there infinitely many $n$ such that, for all $k\\geq 1$,\\[ \\omega(n+k) \\ll k?\\](Here $\\omega(n)$ is the number of distinct prime divisors of $n$.)","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)"}