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Erdős problem 188

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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Problem row
sha256:761bb775fd2d05555a462c22e3713b9081ba96bb3d10dfc3c67d7dcefc226254
Metadata
sha256:b236f6c1e16914576433db256df1408eebc80d06dcaef34974def6292cd8ac31
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:9138fecba342a87e75e5059cc683cfa0ae6cd194a019454dec5b261e3f3100b3
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207
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