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arXiv · 1608.02317

Anomalous Primes and the Elliptic Korselt Criterion

Liljana Babinkostova·Jackson C. Bahr·Yujin Kim·Eric Neyman·Gregory K. Taylor
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Abstract

We explore the relationship between elliptic Korselt numbers of Type I, a class of pseudoprimes introduced by Silverman in [20], and anomalous primes. We generalize a result in [20] that gives sufficient conditions for an elliptic Korselt number of Type I to be a product of anomalous primes. Finally, we prove that almost all elliptic Korselt numbers of Type I of the form n=pq are a product of anomalous primes

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Liljana Babinkostova, Jackson C. Bahr, Yujin Kim, Eric Neyman, Gregory K. Taylor. 2018-08-21. Anomalous Primes and the Elliptic Korselt Criterion. https://doi.org/10.1016/j.jnt.2019.02.013

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