The exponential growth rate of Ramsey numbers

Find lim R(k)^{1/k} for the diagonal Ramsey numbers, or even prove that the limit exists; it lies between √2 and 3.8.

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1	{
2	"domain": "mathematics",
3	"topics": [
4	"graph-theory",
5	"combinatorics"
6	],
7	"type": "proof",
8	"cover": {
9	"motif": "graph",
10	"n": 6
11	},
12	"source": {
13	"key": "erdos",
14	"name": "Erdős Problems",
15	"url": "https://www.erdosproblems.com/77",
16	"id": "77",
17	"curator": "Thomas Bloom",
18	"poser": "Paul Erdős",
19	"status": "open, $250 prize",
20	"as_of": "2026-10-20",
21	"prize": "$250",
22	"catalog": "0521c19bbd38"
23	}
24	}