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Erdős problem 188

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What is the smallest kk such that R2\mathbb{R}^2 can be red/blue coloured with no pair of red points unit distance apart, and no kk-term arithmetic progression of blue points with distance 1?

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:761bb775fd2d05555a462c22e3713b9081ba96bb3d10dfc3c67d7dcefc226254
Metadata
sha256:b236f6c1e16914576433db256df1408eebc80d06dcaef34974def6292cd8ac31
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:9138fecba342a87e75e5059cc683cfa0ae6cd194a019454dec5b261e3f3100b3
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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