New polynomials producing absolute pseudoprimes with any number of prime factors

Details New polynomials producing absolute pseudoprimes with any number of prime factors New polynomials producing absolute pseudoprimes with any number of prime factors

2007-02-14

arxiv.org/abs/math/0702410v1

Mathematics

Number Theory

10 pages

Scientific paper

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.

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