Anomalous Primes and the Elliptic Korselt Criterion

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

arXiv comment12 pages, 1 figure

References in corpus (1)

• On Types of Elliptic Pseudoprimes

Cited by in corpus (3)

• Statistics for Iwasawa invariants of elliptic curves
• The $p$-adic limits of class numbers in ${\mathbb{Z}}_p$-towers
• On Types of Elliptic Pseudoprimes