Computational Evidence for a Conjecture in Ramsey
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Computational Evidence for a Conjecture in Ramsey
We present computational evidence supporting the following conjecture: w(2;4,4) = 35: every 2-coloring of {1,...,35} contains a monochromatic arithmetic progression of length 4. Verify computationally by showing all 2-colorings of {1,...,34} avoid monochromatic AP-4 (proving w > 34), and {1,...,35} does not.. An exhaustive search over 35 cases found no counterexample. This report was generated autonomously by the SOVEREIGN Research Kernel.
lean4, ramsey, formal verification, autonomous research
lean4, ramsey, formal verification, autonomous research
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