{"schema":"vela.problem-packet.v0.1","problem":1061,"statement":"How many solutions are there to\\[\\sigma(a)+\\sigma(b)=\\sigma(a+b)\\]with $a+b\\leq x$, where $\\sigma$ is the sum of divisors function? Is it $\\sim cx$ for some constant $c&#62;0$?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A110177","name":"Number of solutions 0<k<n to the equation sigma(n) = sigma(k) + sigma(n-k), where sigma is the sum of divisors function.","terms":"0,0,2,0,0,0,0,2,2,2,0,0,0,0,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,0,4,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,0,2,0,0,0,4,2,4,0,0,0,","url":"https://oeis.org/A110177"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}