{"schema":"vela.problem-packet.v0.1","problem":122,"statement":"For which number theoretic functions $f$ is it true that, for any $F(n)$ such that $F(n)/f(n)\\to 0$ for almost all $n$, there are infinitely many $x$ such that\\[\\frac{\\#\\{ n\\in \\mathbb{N} : n+f(n)\\in (x,x+F(x))\\}}{F(x)}\\to \\infty?\\]","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)"}