Title

SOME REMARKS ON LUCAS PSEUDOPRIMES

Author(s)

Noriyuki Suwa Department of Mathematics, Faculty of Science and Engineerings Chuo University

Publication Date

2012-01

Abstract

We present a way of viewing Lucas pseudoprimes, Euler-Lucas pseudoprimes and strong Lucas pseudoprimes in the context of group schemes. This enables us to treat the Lucas pseudoprimalities in parallel to establish pseudoprimes, Euler pseudoprimes and strong pseudoprimes.

Keywords

primality test
group scheme