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104.03 On periods of Fibonacci numbers using modular arithmetic on the Binet formula

Published online by Cambridge University Press:  02 March 2020

Jawad Sadek  and
Russell Euler
Jawad Sadek
Affiliation:
Department of Mathematics and Statistics, Northwest Missouri State University, Maryville, MO, 64468USA e-mail: [email protected]
Russell Euler
Affiliation:
Department of Mathematics and Statistics, Northwest Missouri State University, Maryville, MO, 64468USA e-mail: [email protected]
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Abstract

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Information
The Mathematical Gazette , Volume 104 , Issue 559 , March 2020 , pp. 150 - 154
Copyright
© Mathematical Association 2020

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References

Dickson, L. E., History of the theory of numbers, vol. I, Chelses, New York (1952).Google Scholar
Wall, D. D., Fibonacci series modulo m, The American Mathematical Monthly 67 (1960) pp. 525–532.CrossRefGoogle Scholar
Robinson, D. W., The Fibonacci matrix modulo m, The Fibonacci Quarterly 1 (1963) pp. 29–36.Google Scholar
Renault, M., The Fibonacci sequence under various moduli, A Masters Thesis, Wake Forest University (1996).Google Scholar
Rosen, K. H., Discrete mathematics and its applications (4th edn.), McGraw-Hill, New York (1999).Google Scholar
Dence, J. P. and Dence, T. P., Elements of the theory of numbers, (1st edn.), Academic Press, New York (1999).Google Scholar
Lowry, D., Unexpected conjectures about −5 modulo prime, The College Mathematics Journal 46 (1) (2015) pp. 56–57.CrossRefGoogle Scholar