Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 164-01. Monochromatic finite sums and products in the positive integers
Manuscript map · lines 5475–5484
OpenAI@2026-10-07#rem:oai-p-164-01
Authors: OpenAI. Family 164.
Title: Monochromatic finite sums and products in the positive integers.
Abstract: 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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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