MathDBCompletion conjecture for 3-free sets
Completion conjecture for 3-free sets
A finite set of nonnegative integers is 3-free if it contains no three-term arithmetic progression. A completion of a 3-free set is a larger 3-free set containing such that the Stanley sequence is regular.
Completion conjecture. Every 3-free set has a completion.
The paper presents this as a small result toward Rolnick's Conjecture 5.1; no resolution is supplied in the given text.
Sources & referencesView supporting material
Primary source
Richard A. Moy and David Rolnick, “Novel structures in Stanley sequences”, arXiv:1502.06013 (2015).
Additional references
2 papers in this index state this conjecture (2014–2015). The statement above is taken from the most recent of them; the others are arXiv:1408.1940.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.