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The sum of two odd numbers is even, so a set of odd numbers is always sum-free. There are odd numbers in |N|, and so subsets of odd numbers in |N|. The Cameron–Erdős conjecture says that this counts a constant proportion of the sum-free sets.
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- Green, Ben (2004), "The Cameron-Erdős conjecture", The Bulletin of the London Mathematical Society, 36 (6): 769–778, arXiv:math.NT/0304058, doi:10.1112/S0024609304003650, MR 2083752.
- Sapozhenko, A. A. (2003), "The Cameron-Erdős conjecture", Doklady Akademii Nauk, 393 (6): 749–752, MR 2088503.
- Sapozhenko, Alexander A. (2008), "The Cameron-Erdős conjecture", Discrete Mathematics, 308 (19): 4361–4369, doi:10.1016/j.disc.2007.08.103, MR 2433862.
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