{"schema":"vela.problem-packet.v0.1","problem":442,"statement":"Is it true that if $A\\subseteq\\mathbb{N}$ is such that\\[\\frac{1}{\\log\\log x}\\sum_{n\\in A\\cap [1,x)}\\frac{1}{n}\\to \\infty\\]then\\[\\left(\\sum_{n\\in A\\cap [1,x)}\\frac{1}{n}\\right)^{-2} \\sum_{\\substack{a,b\\in A\\cap (1,x]\\\\ a<b}}\\frac{1}{\\mathrm{lcm}(a,b)}\\to \\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)"}