Remark on a determinant involving prime numbers

TL;DR

This paper clarifies that a certain determinant involving prime numbers, previously studied by Pausinger, is actually a known linear algebra determinant unrelated to primes.

Contribution

It reveals that the determinant studied by Pausinger is not new and is a standard linear algebra determinant independent of prime numbers.

Findings

The determinant is a known linear algebra construct.

Its computation does not depend on prime numbers.

The paper corrects a misconception about its novelty.

Abstract

Pausinger recently investigated a special determinant involving prime numbers. In this short note we point out that this type of determinants was already known in linear algebra and its computation is unrelated to prime numbers.