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erdos_12.parts.ii

Specification

Let $A$ be an infinite set such that there are no distinct $a,b,c \in A$ such that $a \mid (b+c)$ and $b,c > a$. Does there exist some absolute constant $c > 0$ such that there are always infinitely many $N$ with $|A \cap \{1, \dotsc, N\}| < N^{1−c}$?

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Lean 4 Statement 
theorem erdos_12.parts.ii : answer(sorry) ↔ ∃ c > (0 : ℝ), ∀ (A : Set ℕ), IsGood A →
  {N : ℕ| (A.interIcc 1 N).ncard < (N : ℝ) ^ (1 - c)}.Infinite
ID: ErdosProblems__12__erdos_12.parts.ii
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