If a prime divides a product
History and Overview
2010-12-30 v1
Abstract
One of the greatest difficulties encountered by all in their first proof intensive class is subtly assuming an unproven fact in a proof. The purpose of this note is to describe a specific instance where this can occur, namely in results related to unique factorization and the concept of the greatest common divisor.
Cite
@article{arxiv.1012.5866,
title = {If a prime divides a product},
author = {Steven J. Miller and Cesar E. Silva},
journal= {arXiv preprint arXiv:1012.5866},
year = {2010}
}
Comments
We thank Jared Hallet, for asking a good question in Silva's analysis class at Williams College, which led to this work