{"id":"openai-math/Monochromatic-finite-sums-and-products-in-the-positive-integers","pdf":"https://github.com/openai/math/blob/main/preprints/Monochromatic-finite-sums-and-products-in-the-positive-integers-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Monochromatic-finite-sums-and-products-in-the-positive-integers-September-23-2026","tags":["ramsey-theory","combinatorics","hindman-theorem"],"score":0,"title":"Monochromatic finite sums and products in the positive integers","domain":"Combinatorics","family":"164","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CO","summary":"We prove Hindman's finite sums and products conjecture: for every finite coloring of the positive integers and every positive integer k , there is a k -element set whose nonempty subset sums and nonempty subset products all have the same color.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Hindman’s finite sums and products conjecture"}