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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.

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Problem row
sha256:d2e2f8d8eb512fa85c8a7784a117dc68fec815d85247e56a14e13e65d1118085
Metadata
sha256:79a014565f4c33a3edd5c2d1a34a5cedeae0ae5db5f5c3acbba4061ef3d2f760
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:c20d3dcdb49b124ccbdd3f5bb763532ccba17ef6114bef9128b03f10ee4a3f5e
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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