English

Pseudoprimes stronger than strong pseudoprimes

Number Theory 2012-03-08 v2

Abstract

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.

Cite

@article{arxiv.1202.3428,
  title  = {Pseudoprimes stronger than strong pseudoprimes},
  author = {John H. Castillo and Gilberto García-Pulgarín and Juan Miguel Velásquez-Soto},
  journal= {arXiv preprint arXiv:1202.3428},
  year   = {2012}
}

Comments

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

R2 v1 2026-06-21T20:20:02.331Z