{"schema":"vela.problem-packet.v0.1","problem":793,"statement":"Let $F(n)$ be the maximum possible size of a subset $A\\subseteq\\{1,\\ldots,n\\}$ such that $a\\nmid bc$ whenever $a,b,c\\in A$ with $a\\neq b$ and $a\\neq c$. Is there a constant $C$ such that\\[F(n)=\\pi(n)+(C+o(1))n^{2/3}(\\log n)^{-2}?\\]","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)"}