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Erdős problem 451

Let nkn_k be the least integer greater than 2k2k for which i=1k(nki)\prod_{i=1}^k (n_k - i) has no prime factor in (k,2k)(k, 2k). How rapidly must nkn_k grow?

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  • AI collaborating with humans

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

    Machine
    Aristotle, GPT-5.5 Pro
    People
    Wouter van Doorn, Quanyu Tang
    Open the source record
  • argument

    VibeMathed

    Machine
    GPT-5.5 Pro
    Reported outcome
    partial
    Open the source record

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