{"schema":"vela.problem-packet.v0.1","problem":459,"statement":"Let $f(u)$ be the largest $v$ such that no $m\\in (u,v)$ is composed entirely of primes dividing $uv$. Estimate $f(u)$.","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A289280","name":"a(n) is the least integer k > n such that any prime factor of k is also a prime factor of n.","terms":"4,9,8,25,8,49,16,27,16,121,16,169,16,25,32,289,24,361,25,27,32,529,27,125,32,81,32,841,32,961,64,81,64,49,48,1369,64,81,","url":"https://oeis.org/A289280"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}