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erdos_1074.part_ii_i

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Similarly, if $P$ is the set of all primes $p$ such that there exists an $m$ with $p\not\equiv 1\pmod{m}$ such that $m! + 1 \equiv 0\pmod{p}$, then does $$ \lim\frac{|P\cap[1, x]|}{\pi(x)} $$ exist?

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Lean 4 Statement 
theorem erdos_1074.part_ii_i : answer(sorry) ↔ ∃ c, PillaiPrimes.HasDensity c {p | p.Prime}
ID: ErdosProblems__1074__erdos_1074.part_ii_i
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