{"schema":"vela.problem-packet.v0.1","problem":446,"statement":"Let $\\delta(n)$ denote the density of integers which are divisible by some integer in $(n,2n)$. What is the growth rate of $\\delta(n)$?If $\\delta_1(n)$ is the density of integers which have exactly one divisor in $(n,2n)$ then is it true that $\\delta_1(n)=o(\\delta(n))$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A074738","name":"Decimal expansion of 1-(1+log(log(2)))/log(2).","terms":"0,8,6,0,7,1,3,3,2,0,5,5,9,3,4,2,0,6,8,8,7,5,7,3,0,9,8,7,7,6,9,2,2,6,7,7,7,6,0,5,9,1,1,0,9,5,3,0,3,3,3,1,7,3,4,9,2,0,2,0,","url":"https://oeis.org/A074738"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}