{"schema":"vela.problem-packet.v0.1","problem":237,"statement":"Let $A\\subseteq \\mathbb{N}$ be a set such that $\\lvert A\\cap \\{1,\\ldots,N\\}\\rvert \\gg \\log N$ for all large $N$. Let $f(n)$ count the number of solutions to $n=p+a$ for $p$ prime and $a\\in A$. Is it true that $\\limsup f(n)=\\infty$?","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)"}