{"schema":"vela.problem-packet.v0.1","problem":929,"statement":"Let $k\\geq 2$ be large and let $S(k)$ be the minimal $x$ such that there is a positive density set of $n$ where\\[n+1,n+2,\\ldots,n+k\\]are all divisible by primes $\\leq x$.Estimate $S(k)$ - in particular, is it true that $S(k)\\geq k^{1-o(1)}$?","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)"}