On Types of Elliptic Pseudoprimes
Group Theory
2023-06-22 v2 Number Theory
Abstract
We generalize the notions of elliptic pseudoprimes and elliptic Carmichael numbers introduced by Silverman to analogues of Euler-Jacobi and strong pseudoprimes. We investigate the relationships among Euler Elliptic Carmichael numbers , strong elliptic Carmichael numbers, products of anomalous primes and elliptic Korselt numbers of Type I: The former two of these are introduced in this paper, and the latter two of these were introduced by Mazur (1973) and Silverman (2012) respectively. In particular, we expand upon a previous work of Babinkostova et al. by proving a conjecture about the density of certain elliptic Korselt numbers of Type I that are products of anomalous primes.
Cite
@article{arxiv.1710.05264,
title = {On Types of Elliptic Pseudoprimes},
author = {L. Babinkostova and A. Hernández-Espiet and H. Kim},
journal= {arXiv preprint arXiv:1710.05264},
year = {2023}
}
Comments
Revised for publication. 33 pages