{"schema":"vela.problem-packet.v0.1","problem":936,"statement":"Are\\[2^n\\pm 1\\]and\\[n!\\pm 1\\]powerful (i.e. if $p\\mid m$ then $p^2\\mid m$) for only finitely many $n$?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A146968","name":"Brocard's problem: positive integers n such that n!+1 = m^2.","terms":"4,5,7","url":"https://oeis.org/A146968"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}