Erdős Problem #156 — Does there exist a maximal Sidon set A⊂{1,…,N}A\subset \{1,\ldots,N\} of size O(N1/3)O(N^{1/3})?

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Does there exist a maximal Sidon set A⊂{1,…,N}A\subset \{1,\ldots,N\} of size O(N1/3)O(N^{1/3})?

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