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erdos_418.variants.density

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It seems to be open whether there is a positive density set of integers not of the form $n - \phi(n)$.

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Lean 4 Statement 
theorem erdos_418.variants.density :
    answer(sorry) ↔ ∃ (S : Set ℕ) (hS : S.HasPosDensity), S ⊆ { (n - n.totient : ℕ) | n }ᶜ
ID: ErdosProblems__418__erdos_418.variants.density
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