{"schema":"vela.problem-packet.v0.1","problem":375,"statement":"Is it true that for any $n,k\\geq 1$, if $n+1,\\ldots,n+k$ are all composite then there are distinct primes $p_1,\\ldots,p_k$ such that $p_i\\mid n+i$ for $1\\leq i\\leq k$?","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)"}