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	+}