{"schema":"vela.problem-packet.v0.1","problem":487,"statement":"Let $A\\subseteq \\mathbb{N}$ have positive density. Must there exist distinct $a,b,c\\in A$ such that $[a,b]=c$ (where $[a,b]$ is the least common multiple of $a$ and $b$)?","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)"}