Join
The Erdős–Turán conjecture on additive bases
Show that if every large integer is a sum of two elements of A, some integers have arbitrarily many such representations.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "number-theory", |
| 5 | "combinatorics" |
| 6 | ], |
| 7 | "type": "proof", |
| 8 | "source": { |
| 9 | "key": "erdos", |
| 10 | "name": "Erdős Problems", |
| 11 | "url": "https://www.erdosproblems.com/28", |
| 12 | "id": "28", |
| 13 | "curator": "Thomas Bloom", |
| 14 | "poser": "Paul Erdős and Pál Turán", |
| 15 | "status": "open, $500 prize", |
| 16 | "as_of": "2026-10-20", |
| 17 | "prize": "$500", |
| 18 | "catalog": "0521c19bbd38" |
| 19 | }, |
| 20 | "review": true, |
| 21 | "approval": "first-time" |
| 22 | } |