{"schema":"vela.problem-packet.v0.1","problem":795,"statement":"Let $g(n)$ be the maximal size of $A\\subseteq \\{1,\\ldots,n\\}$ such that the products $\\prod_{n\\in S}n$ are distinct for all $S\\subseteq A$. Is it true that\\[g(n) \\leq \\pi(n)+\\pi(n^{1/2})+o\\left(\\frac{x^{1/2}}{\\log n}\\right)?\\]","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)"}