ON TYPES OF ELLIPTIC PSEUDOPRIMES

被引：0

作者：

Babinkostova, L. ^{[1
]}

Hernandez-Espiet, A. ^{[2
]}

Kim, H. ^{[3
]}

机构：

[1] Boise State Univ, Boise, ID 83725 USA

[2] Rutgers State Univ, New Brunswick, NJ USA

[3] Univ Wisconsin, Madison, WI 53706 USA

来源：

GROUPS COMPLEXITY CRYPTOLOGY | 2021年 / 13卷 / 01期

基金：

美国国家科学基金会;

关键词：

Elliptic curves; Pseudoprimes; Strong Elliptic Pseudoprimes; Euler Elliptic Pseudoprimes; NUMBER;

D O I：

10.46298/jgcc.2021.13.1.6521

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize Silverman's [31] notions of elliptic pseudoprimes and elliptic Carmichael numbers to analogues of Euler-Jacobi and strong pseudoprimes. We inspect 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 which we introduce and the latter two of which were introduced by Mazur [21] and Silverman [31] respectively. In particular, we expand upon the work of Babinkostova et al. [3] on the density of certain elliptic Korselt numbers of Type I which are products of anomalous primes, proving a conjecture stated in [3].

引用

页码：1:1 / 1:33

页数：33