If a prime divides a product

Mathematics – History and Overview

Scientific paper

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We thank Jared Hallet, for asking a good question in Silva's analysis class at Williams College, which led to this work

Scientific paper

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.

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