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Does there exist an infinite Sidon set which is an asymptotic basis of order 3?
Source: erdosproblems.com/157
An accepted solution exists. The statement is true.
Proved, the site's label; the site's curator credits Pilatte. The standing rests on two accepted claim pages: Pilatte 2023, the construction refereed in Compositio Mathematica (2024), and an AI-generated elementary proof, first posted as a Lean development on 2026-08-25 and registered on the site's proof-claims page on 2026-09-15 with a write-up, whose Lean theorem, in an earlier form of the construction, this corpus built and audited.