Claims

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2025_12_19_barreto: Barreto's Bose–Chowla construction answers the equal-size question negatively: Sidon sets of equal size with disjoint nonzero differences reach (1 - o(1)) of the binomial bound; the site credits the disproof.

2026_04_27_sandhu: The solution of Problem 42 pairs a Sidon set of maximum size with a Sidon set of any fixed size whose differences avoid its own, so the first bound with a bounded error fails; the site credits the solution of Problem 42.

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