$n$-defective Lehmer pairs for small $n$: Corrections and Clarifications

TL;DR

This paper corrects and clarifies previous statements about Lehmer sequences, specifically focusing on elements with no primitive divisors for small values of n, enhancing understanding of their properties.

Contribution

It offers necessary corrections and clarifications to earlier work on Lehmer sequences, improving the accuracy of results related to primitive divisors for small n.

Findings

Corrected previous inaccuracies in Lehmer sequence statements

Clarified conditions for elements with no primitive divisors

Enhanced understanding of small n Lehmer sequence properties

Abstract

We provide some corrections and clarifications of statements in \cite{Ab} and \cite{BHV} regarding elements in Lehmer sequences that have no primitive divisors for small $n$.