The Periodicity of Fibonacci Sequence Modulo a Prime and Its Application in Primality Testing

Author:

Wu Liangshun1,Cai Hengjin1

Affiliation:

1. Computer School of Wuhan University, Wuhan, China

Publisher

ACM Press

Reference6 articles.

1. Minghao Yuan. 2007.The Periodicity of Fibonacci modulus sequence. Mathematics in practice and theory, 3(1), 119--121.

2. Tanackov Ilija. 2018. Binet type formula for Tribonacci sequence with arbitrary initial numbers. Chaos, Solitons and Fractals, 114(1), 63--68.

3. Chizhong Zhou, Pingzhi Yuan, and Guoneng Xiao. 2016. Fibonacci-Lucas sequences and its application (2nd ed.). Harbin Institute of Technology Press, 6, 227--234.

4. Dorin Andrica, Vlad Crisan, and Fawzi Al-Thukar. 2018. On Fibonacci and Lucas sequences modulo a prime and primality testing. Arab Journal of Mathematical Sciences, 24(1), 9--15.

5. Shafi, Goldwasser, Joe, and Kilian.1999. Primality testing using elliptic curves. Journal of the ACM (JACM), 46(4), 450--472.

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