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Erdos and Graham proposed to determine the number of subsets S \1, 2, , n\ with ₒ ₒ 1/s = 1 and asked, among other things, whether that number could be as large as 2^n - o (n). We show that the number of subsets S \1, 2, , n\ with ₒ ₒ 1/s 1 is smaller than 2^0. 93n.
Stefan Steinerberger (Mon,) studied this question.
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