Boolean Pythagorean triples problem: Difference between revisions

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== Generalizations ==

As of 2018, the problem is still open for more than 2 colors, that is, if there exists a ''k''-coloring (''k'' ≥ 3) of the positive integers such that no Pythagorean triples are the same color.<ref>{{Cite journal|last=Eliahou|first=Shalom|last2=Fromentin|first2=Jean|last3=Marion-Poty|first3=Virginie|last4=Robilliard|first4=Denis|date=2018-10-02|title=Are Monochromatic Pythagorean Triples Unavoidable under Morphic Colorings?|url=https://www.tandfonline.com/doi/full/10.1080/10586458.2017.1306465|journal=Experimental Mathematics|language=en|volume=27|issue=4|pages=419–425|doi=10.1080/10586458.2017.1306465|issn=1058-6458|arxiv=1605.00859}}</ref>

== See also ==