New polynomials producing absolute pseudoprimes with any number of prime factors
Number Theory
2007-05-23 v1
Abstract
In this paper, we introduce a certain method to construct polynomials producing many absolute pseudoprimes. By this method, we give new polynomials producing absolute pseudoprimes with any fixed number of prime factors which can be viewed as a generalization of Chernick's result. By the similar method, we give another type of polynomials producing many absolute pseudoprimes. As concrete examples, we tabulate the counts of such numbers of our forms.
Cite
@article{arxiv.math/0702410,
title = {New polynomials producing absolute pseudoprimes with any number of prime factors},
author = {Ken Nakamula and Hirofumi Tsumura and Hiroaki Komai},
journal= {arXiv preprint arXiv:math/0702410},
year = {2007}
}
Comments
10 pages