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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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2026_07_24_zeng: Zeng's partial proof claim of 24 July 2026, made using an OpenAI internal model: h(n) lies between P(n) and the larger of P(n) and floor(sqrt(4n))+1, so the third question holds for every fixed epsilon above one half.