Hindman's monochromatic sum-product quadruple question
Hindman's monochromatic sum-product quadruple question
Let a finite partition of be given. Hindman's question. There exist such that
is monochromatic. This asks whether every finite coloring of the positive integers contains a monochromatic configuration simultaneously involving two numbers, their sum, and their product.
Sources & referencesView supporting material
Primary source
Conner Griffin, “Infinite Sum-Product Configurations in Parallel”, arXiv:2605.24751 (2026).
Additional references
3 papers in this index state this conjecture (2020–2026). The statement above is taken from the most recent of them; the others are arXiv:2507.00515, arXiv:2003.10161.
Progress summary
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