{"schema":"vela.problem-packet.v0.1","problem":724,"statement":"Let $f(n)$ be the maximum number of mutually orthogonal Latin squares of order $n$. Is it true that\\[f(n) \\gg n^{1/2}?\\]","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A001438","name":"Maximal number of mutually orthogonal Latin squares (or MOLS) of order n.","terms":"1,2,3,4,1,6,7,8","url":"https://oeis.org/A001438"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}