Erdős problem 39 · problems.science

Is there an infinite Sidon set $A\subset \mathbb{N}$ such that $\lvert A\cap \{1\ldots,N\}\rvert \gg_\epsilon N^{1/2-\epsilon}$ for all $\varepsilon > 0$ ?

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Problem row: sha256:cf1d62faa8478e41d3dedecba1b6e6a2460d2d3bd4cf6e1b85bbe0ca3999d159
Metadata: sha256:09d83ce12c0f9948d2cf9024f3aa6480a203ec3a4443a2ce9d5d02b33e3f7474
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:ba6f57ae97fa5b1fc1799e5c58342f59a51cfbf5f4298a8fa59d6abee20ccfc0

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207

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