{"schema":"vela.problem-packet.v0.1","problem":51,"statement":"Is there an infinite set $A\\subset \\mathbb{N}$ such that for every $a\\in A$ there is an integer $n$ such that $\\phi(n)=a$, and yet if $n_a$ is the smallest such integer then $n_a/a\\to \\infty$ as $a\\to\\infty$?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A002202","name":"Values taken by totient function phi(m) (A000010).","terms":"1,2,4,6,8,10,12,16,18,20,22,24,28,30,32,36,40,42,44,46,48,52,54,56,58,60,64,66,70,72,78,80,82,84,88,92,96,100,102,104,10","url":"https://oeis.org/A002202"},{"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)"}