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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_09_06_land: Land's research draft of 2026-09-05, written with three AI systems, claims that a large-x form of Kuperberg's uniform Hardy–Littlewood prime-tuples conjecture implies that the sum of p_n over 2^n is irrational; unreviewed.
2026_09_07_ringer: Ringer's manuscript of 2026-09-11, written with two AI systems, claims that Kuperberg's uniform prime-tuples conjecture implies that the sum of p_n over 2^n is normal to base 2, hence irrational; the site's one proof claim.
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