J. V. Leyendekkers and A. G. Shannon

Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132

Volume 21, 2015, Number 3, Pages 64–69

**Full paper (PDF, 95 Kb)**

## Details

### Authors and affiliations

J. V. Leyendekkers

*Faculty of Science, The University of Sydney
NSW 2006, Australia
*

A. G. Shannon

*Faculty of Engineering & IT, University of Technology, Sydney
NSW 2007, Australia
*

### Abstract

The structures of Pell and Lucas numbers, Pp and Lp with prime subscripts are compared in relation to the function (Kp ± 1) and for factors of the form (kp ± 1). It is found that digit sums give some guides to primality.

### Keywords

- Pell numbers
- Lucas numbers
- Primality
- Digit sums

### AMS Classification

- 11B39
- 11B50

### References

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## Cite this paper

Leyendekkers, J. V., & Shannon, A. G. (2015). Pell and Lucas primes. *Notes on Number Theory and Discrete Mathematics*, 21(3), 64-69.