{"schema":"vela.problem-packet.v0.1","problem":437,"statement":"Let $1\\leq a_1<\\cdots<a_k\\leq x$. How many of the partial products $a_1,a_1a_2,\\ldots,a_1\\cdots a_k$ can be squares? Is it true that, for any $\\epsilon>0$, there can be more than $x^{1-\\epsilon}$ squares?","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)"}