Erdős problem 172 · problems.science

Is it true that in any finite colouring of $\mathbb{N}$ there exist arbitrarily large finite $A$ such that all sums and products of distinct elements in $A$ are the same colour?

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Problem row: sha256:49038c06bb954b5c2046a0c04b46996330e45287411101c4e420046e05761228
Metadata: sha256:3f83ace5a986bcf3fc0ec05eae6ee829b31b468b251f8e403482bd4cd216d824
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:e5b266eeddfbbb007d6af2978ced0c57d2d635e046c423be1b67c3d1cf2a72fc

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207

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