{"schema":"vela.problem-packet.v0.1","problem":253,"statement":"Let $1\\leq a_1<a_2<\\cdots $ be an infinite sequence of integers such that $a_{i+1}/a_i\\to 1$. If every infinite arithmetic progression contains infinitely many integers which are the sum of distinct $a_i$ then every sufficiently large integer is the sum of distinct $a_i$.","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)"}