Experimental Mathematics

On the representations of $xy+yz+zx$

Jonathan Borwein and Kwok-Kwong Stephen Choi

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.

Article information

Source
Experiment. Math. Volume 9, Issue 1 (2000), 153-158.

Dates
First available in Project Euclid: 5 March 2003

Permanent link to this document
http://projecteuclid.org/euclid.em/1046889597

Mathematical Reviews number (MathSciNet)
MR1758806

Zentralblatt MATH identifier
0970.11011

Subjects
Primary: 11D85: Representation problems [See also 11P55]

Citation

Borwein, Jonathan; Choi, Kwok-Kwong Stephen. On the representations of $xy+yz+zx$. Experiment. Math. 9 (2000), no. 1, 153--158. http://projecteuclid.org/euclid.em/1046889597.


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