{"schema":"vela.problem-packet.v0.1","problem":266,"statement":"Let $a_n$ be an infinite sequence of positive integers such that $\\sum \\frac{1}{a_n}$ converges. There exists some integer $t\\geq 1$ such that\\[\\sum \\frac{1}{a_n+t}\\]is irrational.","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)"}