Almost Odd Random Sum-Free Sets
Calkin, Neil J.
Cameron, P. J.
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We show that if S_1 is a strongly complete sum-free set of positive integers, and if S_0 is a finite sum-free set, then with positive probability a random sum-free set U contains S_0 and is contained in S_0\cup S_1. As a corollary we show that with positive probability, 2 is the only even element of a random sum-free set.