Erdős Problem #589
OPENdatabase updated 2025-08-31
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
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Exact computer-assisted determination \(g(1),\ldots,g(9)=1,2,2,3,4,4,4,5,5\), with rational witnesses and a real nonrepresentability proof at \(n=8\); the verified asymptotic gap \(\Omega(\sqrt{n\log
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