{"schema":"vela.problem-packet.v0.1","problem":851,"statement":"Let $\\epsilon>0$. Is there some $r\\ll_\\epsilon 1$ such that the density of integers of the form $2^k+n$, where $k\\geq 0$ and $n$ has at most $r$ prime divisors, is at least $1-\\epsilon$?","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)"}