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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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1989_01_01_erdos_sarkozy_sos: Theorem 1(i) of the 1989 chapter: for every k-partition of the positive integers, more than M/2 - 3M^(1 - 2^(-k-1)) even integers up to M are sums of two distinct integers of one class once M is large; credited by the site.