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Erdős problem 670

Erdős asked whether every nn-point set in Euclidean space whose pairwise distances are mutually at least 1 apart must have diameter at least (1+o(1))n2(1+o(1))n^2. Disproved: an explicit high-dimensional construction beats the conjectured constant.

No current result

No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

No source in this release retained material for this Problem beyond its catalogue entry.

Reported activity

Reported by these sources. Not reviewed here.

  • construction

    VibeMathed

    Machine
    GPT-5.4 Pro, Harmonic Aristotle
    People
    Boon Suan Ho
    Reported outcome
    resolved
    Open the source record

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