{"schema":"vela.problem-packet.v0.1","problem":1205,"statement":"Let $F(x)$ be maximal such that there exists, for all $n\\leq x$, a congruence class $a_n\\pmod{n}$ such that every $m\\leq x$ satisfies at least $F(x)$ of these congruences.Estimate $F(x)$.","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)"}