A complete determination of Rabinowitsch polynomials
Let \(m\) be a positive integer. A Rabinowitsch polynomial is of the form \(f_m(x)=x^2+x-m\), if for \(s=\sqrt{m}\) and consecutive integers \(x=x_0,x_0+1,\ldots, x_0 + s-1\), \(| f_m(x)|\) is either \(1\) or prime. The authors establish that there are exactly fourteen Rabinowitsch polynomials \(f_m(x)\). They fail to reference the deeply related paper by this reviewer: [Int. J. Math. Math. Sci. 2009, Article ID 819068, 14 p. (2009; Zbl 1290.11151)]. Nevertheless their paper is well-written and establishes the closure of another area of this topic.
scientific article; zbMATH DE number 5899192
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