Fibonacci number sums as prime indicators

J. V. Leyendekkers and A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 20, 2014, Number 4, Pages 47—52
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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

Sums of the first p Fibonacci numbers, Sp, are shown to be related to K in Fp = Kp ± 1, which is itself a useful indicator of primality for Fp. Digit sums of K, Sp, sums of Fp2 and Simson’s identity were compared.

Keywords

  • Fibonacci numbers
  • Primality
  • Digit sums

AMS Classification

  • 11B39
  • 11B50

References

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Cite this paper

APA

Leyendekkers, J. V., & Shannon, A. G. (2014). Fibonacci number sums as prime indicators. Notes on Number Theory and Discrete Mathematics, 20(4), 47-52.

Chicago

Leyendekkers, J. V., and A. G. Shannon. “Fibonacci Number Sums as Prime Indicators.” Notes on Number Theory and Discrete Mathematics 20, no. 4 (2014): 47-52.

MLA

Leyendekkers, J. V., and A. G. Shannon. “Fibonacci Number Sums as Prime Indicators.” Notes on Number Theory and Discrete Mathematics 20.4 (2014): 47-52. Print.

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