{"schema":"vela.problem-packet.v0.1","problem":399,"statement":"Is it true that there are no solutions to\\[n! = x^k\\pm y^k\\]with $x,y,n\\in \\mathbb{N}$, with $xy>1$ and $k>2$?","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)"}