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Erdős problem 1199

Is it true that in any 2-colouring of N\mathbb{N} there exists an infinite set AA such that all elements of A+AA+A are the same colour?

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Problem row
sha256:743f558567252f00e454ec2d96f819ed349cce850224e3717fac009562cede58
Metadata
sha256:0725668ce49a4cf7bc5d018e3ecdacc32df25406777fc637e26e8595cce82894
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:f2a9991f2304cbd871da13a416577efcedfdfc351c4f34b98c70c628d2761329
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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