{"schema":"vela.problem-packet.v0.1","problem":841,"statement":"Let $t_n$ be minimal such that $\\{n+1,\\ldots,n+t_n\\}$ contains a subset whose product with $n$ is a square number (and let $t_n=0$ if $n$ is itself square). Estimate $t_n$.","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A092487","name":"a(n) = least k such that {n+1, n+2, n+3, ... n+k} has a subset the product of whose members with n is a square.","terms":"0,4,5,0,5,6,7,7,0,8,11,8,13,7,9,0,17,9,19,10,7,11,23,8,0,13,8,12,29,12,31,13,11,17,13,0,37,19,13,10,41,14,43,11,15,23,47","url":"https://oeis.org/A092487"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}