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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_25_gebyjaff: An anonymous manuscript of 25 April 2026 builds a sparse non-basis with, for each N, a shift raising the count up to N of any set of Schnirelmann density in (0,1) by a positive fraction of N; accepted by the site's curator.