Sidon’s Problem is an interesting problem in number theory (recently solved, see e.g. [1]). It asks how dense a set S of integers can be without containing any solutions to s1 + s2 = s3 + s4 (aside from the trivial solutions {s1, s2} = {s3, s4}), where s1, s2, s3, s4 ∈ S. This and certain generalizations have come to be known as Sidon’s Problem.
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