## Experimental Mathematics

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

### 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.