{"schema":"vela.problem-packet.v0.1","problem":327,"statement":"Suppose $A\\subseteq \\{1,\\ldots,N\\}$ is such that if $a,b\\in A$ and $a\\neq b$ then $a+b\\nmid ab$. Can $A$ be 'substantially more' than the odd numbers?What if $a,b\\in A$ with $a\\neq b$ implies $a+b\\nmid 2ab$? Must $\\lvert A\\rvert=o(N)$?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A384927","name":"a(n) is the maximum size of a subset S of {1, 2, ..., n} such that for any distinct elements t, u in S, t + u does not divide t*u.","terms":"1,2,3,4,5,5,6,7,8,9,10,10,11,12,12,13,14,14,15,15,16,17,18,18,19,20,21,21,22,23,24,25,26,27,27,28,29,30,31,31,32,32,33,3","url":"https://oeis.org/A384927"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}