I have shown that the diagonal Ramsey number $R(24,24)$ is at least 27812. How does this compare to the best known bound?
2026-03-26 14:42:58.1774536178
What is the best known lower bound on $R(24,24)$?
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I found a paper written in Chinese which I cannot read but which claims to show that $R(23,23) > 129629$ using the Paley graph construction.
This is not too implausible. The same construction was used in 2002 to prove that $R(19, 19) > 17885$, which far outstrips the probabilistic bound of $R(19, 19) > 3923$. So even though I cannot read the Chinese paper, I believe that the calculations should be possible by now, and could well give a result that large.