Pseudoprimes stronger than strong pseudoprimes

Details Pseudoprimes stronger than strong pseudoprimes Pseudoprimes stronger than strong pseudoprimes

2012-02-15

arxiv.org/abs/1202.3428v2

Mathematics

Number Theory

7 pages, corrected typos, former version v1 divided in two manuscripts see arXiv:1203.1273v1 [math.NT], added references

Scientific paper

We introduce a new class of pseudoprimes. In this work we characterize Midy
pseudoprimes, give some of their properties and established interesting
connections with other known pseudoprimes, in particular we show that every
divisor of a Midy pseudoprime is either a prime or a Midy pseudoprime and in
the last case it is a strong pseudoprime.

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