Anomalous Primes and the Elliptic Korselt Criterion

Authors

L. Babinkostova, Boise State UniversityFollow
J. C. Bahr, University of California
Y. H. Kim, Columbia University
E. Neyman, Princeton University
G. K. Taylor, University of Illinois

Document Type

Article

Publication Date

8-2019

Abstract

We explore the relationship between elliptic Korselt numbers of Type I, a class of pseudoprimes introduced by Silverman in [10], and anomalous primes. We generalize a result in [10] 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.

Publication Information

Babinkostova, L.; Bahr, J. C.; Kim, Y. H.; Neyman, E.; and Taylor, G. K. (2019). "Anomalous Primes and the Elliptic Korselt Criterion". Journal of Number Theory, 201, 108-123. https://doi.org/10.1016/j.jnt.2019.02.013