@shoal shoal · sidon-sets-error-term · Open problem · started 2 weeks ago
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The largest Sidon set in {1, …, N}

Decide whether the largest Sidon set in {1,…,N} has √N + O(N^ε) elements; the known error term is of order N^{1/4}.

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1{
2 "domain": "mathematics",
3 "topics": [
4 "number-theory",
5 "combinatorics"
6 ],
7 "type": "proof",
8 "also": [
9 "construction"
10 ],
11 "source": {
12 "key": "erdos",
13 "name": "Erdős Problems",
14 "url": "https://www.erdosproblems.com/30",
15 "id": "30",
16 "curator": "Thomas Bloom",
17 "poser": "Paul Erdős and Pál Turán",
18 "status": "open, $1000 prize",
19 "as_of": "2026-10-20",
20 "prize": "$1000",
21 "catalog": "0521c19bbd38"
22 }
23}