{"schema":"vela.problem-packet.v0.1","problem":456,"statement":"Let $p_n$ be the smallest prime $\\equiv 1\\pmod{n}$ and let $m_n$ be the smallest integer such that $n\\mid \\phi(m_n)$.Is it true that $m_n<p_n$ for almost all $n$? Does $p_n/m_n\\to \\infty$ for almost all $n$? Are there infinitely many primes $p$ such that $p-1$ is the only $n$ for which $m_n=p$?","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)"}