{"schema":"vela.problem-packet.v0.1","problem":234,"statement":"For every $c\\geq 0$ the density $f(c)$ of integers for which\\[\\frac{p_{n+1}-p_n}{\\log n}< c\\]exists and is a continuous function of $c$.","status":"open","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)"}