de Koninck, Jean-Marie; Doyon, Nicolas; Luca, Florian
Powerful values of quadratic polynomials
J. Integer Seq. 14(3), Article 11.3.3, 11 p., electronic only (2011)
Summary
Summary: We study the set of those integers $k$ such that $n^{2} + k$ is powerful for infinitely many positive integers $n$. We prove that most integers $k$ have this property.
