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Erdős problem 172

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

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  6. Next gapNot recorded

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:49038c06bb954b5c2046a0c04b46996330e45287411101c4e420046e05761228
Metadata
sha256:3f83ace5a986bcf3fc0ec05eae6ee829b31b468b251f8e403482bd4cd216d824
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:e5b266eeddfbbb007d6af2978ced0c57d2d635e046c423be1b67c3d1cf2a72fc
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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