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erdos_1072b

Specification

Is it true that $f(p)/p \to 0$ for $p \to \infty$ in a density 1 subset of the primes?

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Lean 4 Statement 
theorem erdos_1072b :
    answer(sorry) ↔ ∃ (P : Set ℕ), P ⊆ {p | p.Prime} ∧ P.HasDensity 1 {p | p.Prime} ∧
      Tendsto (fun p => (f p / p : ℝ)) (atTop ⊓ principal P) (𝓝 0)
ID: ErdosProblems__1072__erdos_1072b
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