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erdos_1074.part8_i_i

Specification

Let $S$ be the set of all $m\geq 1$ such that there exists a prime $p\not\equiv 1\pmod{m}$ such that $m! + 1 \equiv 0\pmod{p}$. Does $$ \lim\frac{|S\cap[1, x]|}{x} $$ exist?

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Lean 4 Statement 
theorem erdos_1074.part8_i_i : answer(sorry) ↔ ∃ c, EHSNumbers.HasDensity c
ID: ErdosProblems__1074__erdos_1074.part8_i_i
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