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erdos_1139

Specification

Let $1\leq u_1 < u_2 < \cdots$ be the sequence of integers with at most $2$ prime factors. Is it true that $$\limsup_{k \to \infty} \frac{u_{k+1}-u_k}{\log k}=\infty?$$

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Lean 4 Statement 
theorem erdos_1139 :
    answer(sorry) ↔
      letI u
ID: ErdosProblems__1139__erdos_1139
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