{"schema":"vela.problem-packet.v0.1","problem":388,"statement":"Can one classify all solutions of\\[\\prod_{1\\leq i\\leq k_1}(m_1+i)=\\prod_{1\\leq j\\leq k_2}(m_2+j)\\]where $k_1,k_2>3$ and $m_1+k_1\\leq m_2$? Are there only finitely many solutions?","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)"}