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Jan 13, 2012 at 21:47 comment added Pace Nielsen I believe Gowers bound beats that. But my question isn't about the size of the van der Waerden numbers, but rather about the gap sizes in the "densest" length $k$ arithmetic progression under that coloring.
Jan 13, 2012 at 20:19 history answered Igor Rivin CC BY-SA 3.0