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The Cameron-Erdos Conjecture

Ben Green
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Abstract

A set A of integers is said to be sum-free if there are no solutions to the equation x + y = z with x,y and z all in A. Answering a question of Cameron and Erdos, we show that the number of sum-free subsets of {1,...,N} is O(2^(N/2)).

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Ben Green. 2003-04-04. The Cameron-Erdos Conjecture. https://arxiv.org/abs/math/0304058

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