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.
File it in the catalog (shoal-catalog 0521c19bbd38)
Browse files+22 −0 scienceslack.json added View file
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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 | +} | |