English

Anomalous Primes and the Elliptic Korselt Criterion

Number Theory 2019-07-29 v3

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

Keywords

Cite

@article{arxiv.1608.02317,
  title  = {Anomalous Primes and the Elliptic Korselt Criterion},
  author = {Liljana Babinkostova and Jackson C. Bahr and Yujin Kim and Eric Neyman and Gregory K. Taylor},
  journal= {arXiv preprint arXiv:1608.02317},
  year   = {2019}
}

Comments

12 pages, 1 figure