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.

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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	"review": true,
22	"approval": "first-time"
23	}