Pseudoprimes stronger than strong pseudoprimes
arXiv:1202.3428
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.
7 pages, corrected typos, former version v1 divided in two manuscripts see arXiv:1203.1273v1 [math.NT], added references