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Erdős problem 272

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Let N≥1N\geq 1. What is the largest tt such that there are A1,…,At⊆{1,…,N}A_1,\ldots,A_t\subseteq \{1,\ldots,N\} with Ai∩AjA_i\cap A_j a non-empty arithmetic progression for all i≠ji\neq j?

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Problem row
sha256:8e19789cb3d202cd3a376bf5ab0e93092b9baebd7c649dd3d2dbee947d33e770
Metadata
sha256:c7186a83248b7b2ef9d7670d174d302862b31bd622a1128e904e92c2ef9189dc
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:5897288e6b9f02abc9536e7c91b273fddf16634161354c11735b01c5b5d91d7f
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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