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arXiv · 1707.05002

Average liar count for degree-2 Frobenius pseudoprimes

Andrew Fiori·Andrew Shallue
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Abstract

In this paper we obtain lower and upper bounds on the average number of liars for the Quadratic Frobenius Pseudoprime Test of Grantham, generalizing arguments of Erd\H{o}s and Pomerance, and Monier. These bounds are provided for both Jacobi symbol plus and minus cases, providing evidence for the existence of several challenge pseudoprimes.

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Andrew Fiori, Andrew Shallue. 2017-07-17. Average liar count for degree-2 Frobenius pseudoprimes. https://doi.org/10.1090/mcom/3452

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