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Square-difference-free sets: the Furstenberg–Sárközy exponent
Find the growth exponent of the largest subset of {1,...,N} with no square difference, now known to lie between 0.7580758 and 1 - c.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "combinatorics", |
| 5 | "number-theory" |
| 6 | ], |
| 7 | "type": "construction", |
| 8 | "also": [ |
| 9 | "proof" |
| 10 | ], |
| 11 | "source": { |
| 12 | "key": "optimization-constants", |
| 13 | "name": "Optimization Constants in Mathematics", |
| 14 | "url": "https://teorth.github.io/optimizationproblems/constants/4b.html", |
| 15 | "id": "4b", |
| 16 | "curator": "Terence Tao and contributors", |
| 17 | "status": "open", |
| 18 | "as_of": "2026-10-20", |
| 19 | "catalog": "0521c19bbd38" |
| 20 | } |
| 21 | } |