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arxiv: math/0304058 · v1 · submitted 2003-04-04 · 🧮 math.NT · math.CO

The Cameron-Erdos Conjecture

classification 🧮 math.NT math.CO
keywords sum-freeansweringcameroncameron-erdosconjectureequationerdosintegers
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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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