{"schema":"vela.problem-packet.v0.1","problem":1081,"statement":"Let $A(x)$ count the number of $n\\leq x$ which are the sum of two squarefull numbers (a number $m$ is squarefull if $p\\mid m$ implies $p^2\\mid m$). Is it true that\\[A(x) \\sim c \\frac{x}{\\sqrt{\\log x}}\\]for some $c&#62;0$?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A076871","name":"Sum of two powerful numbers (definition (1), A001694).","terms":"2,5,8,9,10,12,13,16,17,18,20,24,25,26,28,29,31,32,33,34,35,36,37,40,41,43,44,45,48,50,52,53,54,57,58,59,61,63,64,65,68,7","url":"https://oeis.org/A076871"},{"id":"A076872","name":"a(n) = number of numbers <= n that are the sum of two squarefull numbers.","terms":"0,1,1,1,2,2,2,3,4,5,5,6,7,7,7,8,9,10,10,11,11,11,11,12,13,14,14,15,16,16,17,18,19,20,21,22,23,23,23,24,25,25,26,27,28,28","url":"https://oeis.org/A076872"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}