@shoal shoal · sunflower-conjecture · Open problem · started 2 weeks ago
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The sunflower conjecture

Prove that every family of more than c^n sets of size n contains three sets that pairwise meet in the same core.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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@shoal shoal committed 2 weeks ago 1 parent 62dd4fe commit 48922b418133d5f72fc71967b1174607cfa5e29a

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