{"schema":"vela.problem-packet.v0.1","problem":672,"statement":"Can the product of an arithmetic progression of positive integers $n,n+d,\\ldots,n+(k-1)d$ of length $k\\geq 4$ (with $(n,d)=1$) be a perfect power?","status":"open","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)"}