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### On the representations of $xy+yz+zx$

Jonathan Borwein and Kwok-Kwong Stephen Choi
Source: Experiment. Math. Volume 9, Issue 1 (2000), 153-158.

#### Abstract

We show that there are at most 19 integers that are not of the form $xy+yz+xz$ with $x,y,z \ge 1$. Eighteen of them are small and easily found. The remaining possibility must be greater than $10^{11}$ and cannot occur if we assume the Generalized Riemann Hypothesis.

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Primary Subjects: 11D85
Full-text: Open access