Quick question on Ramsey numbers

JOSEPH SHIPMAN joeshipman at aol.com
Fri Mar 26 00:17:43 EDT 2021

We know that the 2-color Ramsey number R(n,n) has the property that sqrt(2) <= lim inf R(n,n)^(1/n) <= lim sup R(n,n)^(1/n) <= 4.
It is not known if the limit exists. But, is it even known that one of the outer two inequalities must be strict?

— JS

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