Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-14T07:28:34.258Z Has data issue: false hasContentIssue false

104.26 Unusual Fibonacci, Lucas and Pell congruence relations

Published online by Cambridge University Press:  08 October 2020

Jawad Sadek
Affiliation:
Northwest Missouri State University, Maryville, MO64468, USA e-mail: jawads@nwmissouri.edu
Russell Euler
Affiliation:
Northwest Missouri State University, Maryville, MO64468, USA e-mail: jawads@nwmissouri.edu

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Notes
Copyright
© Mathematical Association 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Sadek, J. and Euler, R., On periods of Fibonacci numbers using modular arithmetic on the Binet formula, Math. Gaz., 104 (March 2020) pp. 150154.CrossRefGoogle Scholar
Euler, R., and Sadek, J., Congruence relations from Binet forms, The Fibonacci Quarterly 50(3) (2012) pp. 246251.Google Scholar
Lowry, D., Unexpected conjectures about -5 modulo prime, The College Mathematics Journal 46(1) (2015) pp. 5657.CrossRefGoogle Scholar
Rosen, K. H., Discrete Mathematics and its Applications (4th edn.), McGraw-Hill, New York, 1999.Google Scholar
Long, C. T., Elementary Introduction to Number Theory (3rd edn.) Waveland Press, 1995.Google Scholar