Primality testing with Lucas functions

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Abstract

A generalization of Fermat's Little Theorem is derived by using Lucas functions. This generalization yields new classes of pseudoprimes and can be used to improve some well-known primality tests.

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Lidl, R., & Müller, W. B. (1993). Primality testing with Lucas functions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 718 LNCS, pp. 539–542). Springer Verlag. https://doi.org/10.1007/3-540-57220-1_92

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