{"schema":"vela.problem-packet.v0.1","problem":821,"statement":"Let $g(n)$ count the number of $m$ such that $\\phi(m)=n$. Is it true that, for every $\\epsilon>0$, there exist infinitely many $n$ such that\\[g(n) > n^{1-\\epsilon}?\\]","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A014197","name":"Number of numbers m with Euler phi(m) = n.","terms":"2,3,0,4,0,4,0,5,0,2,0,6,0,0,0,6,0,4,0,5,0,2,0,10,0,0,0,2,0,2,0,7,0,0,0,8,0,0,0,9,0,4,0,3,0,2,0,11,0,0,0,2,0,2,0,3,0,2,0,","url":"https://oeis.org/A014197"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}