{"schema":"vela.problem-packet.v0.1","problem":240,"statement":"Is there an infinite set of primes $P$ such that if $\\{a_1<a_2<\\cdots\\}$ is the set of integers divisible only by primes in $P$ then $\\lim a_{i+1}-a_i=\\infty$?","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)"}