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Erdős Problem #1101

Number theory · posed by 1981 · partial

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Statement

Does there exist a good pairwise-coprime sequence unu_n with ∑1/un<∞\sum 1/u_n < \infty and polynomial growth? What if one only requires un≤eo(n)u_n \le e^{o(n)}?

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

    GPT-5.5 Pro

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    — the result was found by a model.

    a subexponential good sequence is constructed; the polynomial-growth question remains open

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