J. Integer Seq. 17(1), Article 14.1.8, 6 p., electronic only (2014)
Summary
Summary: Recently, Farhi showed that every natural number $N$ ≢ 2 (mod 24) can be written as the sum of three numbers of the form $floor(n^{2}/3) (n \in $ N). He conjectured that this result remains true even if $N \equiv 2$ (mod 24). In this note, we prove this statement.
Mathematics Subject Classification
11B13
Keywords/Phrases
additive base, Legendre's theorem, representation of an integer as the sum of three squares
