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Erdős problem 1139

Let 1u1<u2<1\leq u_1 < u_2 < \cdots be the sequence of integers with at most 22 prime factors. Is it true that lim supkuk+1uklogk=?\limsup_{k \to \infty} \frac{u_{k+1}-u_k}{\log k}=\infty?

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  • AI collaborating with humans

    Erdős AI contributions wiki · 26 Jan-19 Jun, 2026

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    GPT-5.2 Pro, GPT-5.5 Pro
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    Przemek Chojecki, gavinsherry, Liam Price, Terence Tao
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