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arXiv · 1903.06825

There are Infinitely Many Perrin Pseudoprimes

Jon Grantham
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Abstract

This paper proves the existence of infinitely many Perrin pseudoprimes, as conjectured by Adams and Shanks in 1982. The theorem proven covers a general class of pseudoprimes based on recurrence sequences. The result uses ingredients of the proof of the infinitude of Carmichael numbers, along with zero-density estimates for Hecke L-functions.

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Jon Grantham. 2019-03-15. There are Infinitely Many Perrin Pseudoprimes. https://doi.org/10.1016/j.jnt.2009.11.008

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