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Erdős problem / erdos

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Problem 39

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  1. vf_dde85df74c99fd4c

    theoretical

    Erdős Problem #39: declared status 'open'. Formalized: yes. Is there an infinite Sidon set A⊂NA\subset \mathbb{N} such that∣A∩{1…,N}∣≫ϵN1/2−ϵ\lvert A\cap \{1\ldots,N\}\rvert \gg_\epsilon N^{1/2-\epsilon}for all ϵ>0\epsilon>0? Prize: $500. Tags: additive combinatorics, number theory, sidon sets.

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