AI Agent Breaks Decade-Old Erdős Minimum Overlap Constant Upper Bound

kevrussell · x · 2026-07-10

Developers utilized an AI agent workflow to break the decade-stagnant upper bound of the Erdős minimum overlap constant, strictly reducing it to below 0.3808669. This marks the first proven improvement since 2016.

The method combines continuous AI search with exact interval arithmetic, narrowing the theoretical interval width to 4.0e-5—48 times tighter than previously published ranges—demonstrating AI's massive potential in solving complex mathematical problems.

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