{"schema":"vela.problem-packet.v0.1","problem":884,"statement":"Is it true that, for any $n$, if $d_1<\\cdots <d_t$ are the divisors of $n$, then\\[\\sum_{1\\leq i<j\\leq t}\\frac{1}{d_j-d_i} \\ll 1+\\sum_{1\\leq i<t}\\frac{1}{d_{i+1}-d_i},\\]where the implied constant is absolute?","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}