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Erdős problem / erdos

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Problem 137

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  1. vf_b9f542131fa53f89

    theoretical

    Erdős Problem #137: declared status 'open'. Formalized: yes. Let k≥3k\geq 3. Can the product of any kk consecutive integers NN ever be powerful? That is, must there always exist a prime p∣Np\mid N such that p2∤Np^2\nmid N? Prize: no. Tags: number theory.

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