{"schema":"vela.problem-packet.v0.1","problem":824,"statement":"Let $h(x)$ count the number of integers $1\\leq a<b<x$ such that $(a,b)=1$ and $\\sigma(a)=\\sigma(b)$, where $\\sigma$ is the sum of divisors function.Is it true that $h(x)>x^{2-o(1)}$?","status":"open","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)"}