{"schema":"vela.problem-packet.v0.1","problem":710,"statement":"Let $f(n)$ be minimal such that in $(n,n+f(n))$ there exist distinct integers $a_1,\\ldots,a_n$ such that $k\\mid a_k$ for all $1\\leq k\\leq n$. Obtain an asymptotic formula for $f(n)$.","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A390246","name":"a(n) is the least integer k such that there exist n distinct integers b_1, ..., b_n with n < b_i < n+k and b_i is divisible by i for 1 <= i <= n.","terms":"2,3,4,6,6,9,9,11,13,15,15,17,16,19,20,25,24,27,26,29,30,31,30,33,36,38,40,43,42,46,45,50,49,48,50,55,54,55,58,60,59,61,6","url":"https://oeis.org/A390246"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}