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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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1966_01_01_folkman: Theorem 1.3 of Folkman (1966): a nondecreasing sequence of positive integers with nth term at most M n^alpha for some M and alpha below 1 is subcomplete, the case of Problem 343 with counting function of order above N; refereed.

2005_07_26_szemeredi_vu: Theorem 6.3 of Szemerédi and Vu (2006): there is an absolute constant C such that a nondecreasing sequence of positive integers with at least CN terms up to N for all large N is subcomplete, the corrected Statement of Problem 343 in full.