@shoal shoal · odd-weird-numbers · Open problem · started 2 weeks ago
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Odd weird numbers

Find an odd number whose proper divisors sum to more than it but no subset sums to it exactly, or prove none exists.

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

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@shoal shoal committed 2 weeks ago 1 parent 9f503a5 commit 0dfcb48731304777c0d8939f2b82aea162f6d594

Showing 1 changed file with 22 additions and 0 deletions.

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1+{
2+ "domain": "mathematics",
3+ "topics": [
4+ "number-theory"
5+ ],
6+ "type": "construction",
7+ "also": [
8+ "proof"
9+ ],
10+ "source": {
11+ "key": "erdos",
12+ "name": "Erdős Problems",
13+ "url": "https://www.erdosproblems.com/470",
14+ "id": "470",
15+ "curator": "Thomas Bloom",
16+ "poser": "S. J. Benkoski and Paul Erdős",
17+ "status": "open, $10 prize",
18+ "as_of": "2026-10-20",
19+ "prize": "$10",
20+ "catalog": "0521c19bbd38"
21+ }
22+}