{"schema":"vela.problem-packet.v0.1","problem":897,"statement":"Let $f(n)$ be an additive function (so that $f(ab)=f(a)+f(b)$ if $(a,b)=1$) such that\\[\\limsup_{p,k}\\frac{f(p^k)}{\\log p^k}=\\infty.\\]Is it true that\\[\\limsup_n \\frac{f(n+1)-f(n)}{\\log n}=\\infty?\\]Or perhaps even\\[\\limsup_n \\frac{f(n+1)}{f(n)}=\\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)"}