Erdős problem 1186 · problems.science

What is the minimum asymptotic density $\delta_k$ of monochromatic $k$ -term arithmetic progressions in every two-colouring of $\{1, \dots, n\}$ ? The exact certificate gives $\delta_3 = 117/2192$ , matching the known 548-bead colouring.

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Problem row: sha256:c48d39a84344e912536b188f5bbc8065de2b8ed29bdec5b886c658d2e741bb32
Metadata: sha256:1c5650499d88f6a161182e8644426f8a974679027d7fff35b330571f986fb23d
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:6c91addd5fa2c96b593e7dac559df5f6b8cabd0c86855440b503323eba01cf6b

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

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