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@CoolRmal CoolRmal commented Jan 8, 2026

Closes #1543

van Doorn's constructions implies that there exists a set A such that lim sup |A ∩ {1, …, N}| / N^(1/2) ≤ (2 * (φ ^ (5 / 2))). Hence, the minimum value of limsup is less than (2 * (φ ^ (5 / 2))).

Also fixes some typos.

@github-actions github-actions bot added the erdos-problems Erdős Problems label Jan 8, 2026
@Paul-Lez Paul-Lez self-requested a review January 12, 2026 16:31
@YaelDillies YaelDillies added the awaiting-author The author should answer a question or perform changes. Reply when done. label Jan 17, 2026
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Thanks!

@YaelDillies YaelDillies removed the awaiting-author The author should answer a question or perform changes. Reply when done. label Jan 18, 2026
@YaelDillies YaelDillies merged commit ae49f8c into google-deepmind:main Jan 18, 2026
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@CoolRmal CoolRmal deleted the Erdos33 branch January 18, 2026 06:17
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Erdős Problem #33: sup/inf confusion?

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