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Erdős problem 1101

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 uneo(n)u_n \le e^{o(n)}?

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

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