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Jan 26, 2017 at 20:13 comment added Seva I would expect that it should be possible to modify appropriately the argument of Croot, Ruzsa, and Schoen (people.math.gatech.edu/~ecroot/kterm.pdf) who proved that if $A\subset[1,n]$ has size $|A|>(3n)^{1-1/(k-1)}$, then the sumset $A+A$ contains an arithmetic progression of length at least $k$.
Jan 26, 2017 at 20:11 history edited MO B CC BY-SA 3.0
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Jan 26, 2017 at 20:02 comment added Peter Humphries $A - A = \{x \in A : x = y - z \text{ for some } y, z \in A\}$.
Jan 26, 2017 at 19:51 comment added Mike Stay Isn't $A-A$ empty?
Jan 26, 2017 at 19:36 history asked MO B CC BY-SA 3.0