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Erdős problem / erdos

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Problem 886

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  1. vf_b176b429c37aae83

    theoretical

    Erdős Problem #886: declared status 'open'. Formalized: yes. Let ϵ>0\epsilon>0. Is it true that, for all large nn, the number of divisors of nn in (n1/2,n1/2+n1/2ϵ)(n^{1/2},n^{1/2}+n^{1/2-\epsilon}) is Oϵ(1)O_\epsilon(1)? Prize: no. Tags: divisors, number theory.

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