{"schema":"vela.problem-packet.v0.1","problem":1102,"statement":"We say that $A\\subseteq \\mathbb{N}$ has property $P$ if, for all $n\\geq 1$, there are only finitely many $a\\in A$ such that $n+a$ is squarefree.We say that $A$ has property $Q$ if there are infinitely many $n$ such that $n+a$ is squarefree for all $a<n$. How fast must sequences $A=\\{a_1<a_2<\\cdots\\}$ with properties $P$ or $Q$ increase?","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)"}