{"schema":"vela.problem-packet.v0.1","problem":9,"statement":"Let $A$ be the set of all odd integers $\\geq 1$ not of the form $p+2^{k}+2^l$ (where $k,l\\geq 0$ and $p$ is prime). Is the upper density of $A$ positive?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A006286","name":"Numbers not of form p + 2^x + 2^y.","terms":"1,2,3,128,150,252,332,338,374,510,600,702,758,810,878,906,908,960,978,998,1020,1088,1200,1208,1212,1244,1260,1272,1478,1","url":"https://oeis.org/A006286"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}