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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_04_30_price: Liam Price's construction, found with GPT-5.5 Pro and posted on 30 April 2026, giving f(pi(n)+1, n) = 2 pi(n^{1/2}) + 1 for infinitely many n, so the difference does not tend to infinity; unreviewed.