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Erdős problem 1186

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What is the minimum asymptotic density δk\delta_k of monochromatic kk-term arithmetic progressions in every two-colouring of {1,…,n}\{1, \dots, n\}? The exact certificate gives δ3=117/2192\delta_3 = 117/2192, matching the known 548-bead colouring.

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Problem row
sha256:c48d39a84344e912536b188f5bbc8065de2b8ed29bdec5b886c658d2e741bb32
Metadata
sha256:1c5650499d88f6a161182e8644426f8a974679027d7fff35b330571f986fb23d
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:6c91addd5fa2c96b593e7dac559df5f6b8cabd0c86855440b503323eba01cf6b
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
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sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
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36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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