Benedict Irwin edited Prime Factors.tex  almost 10 years ago

Commit id: ce04ba0a95059db4820d499a19de85b46566a024

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However, these kind of things are not quite the point of this notation. Although if that is indeed the definition of zero... then it is true that \begin{equation}  \prod_{p \in \mathbb{P}} p^{\infty} p^{\infty}=  \prod_{p \in \mathbb{P}} \prod_{k=0}^{\infty}p= 0 \end{equation}  A strange result. result! This would also indicate that \begin{equation}  \prod_{p \in \mathbb{P}} p^{-\infty} = \prod_{p \in \mathbb{P} \prod_{k=1}^{\infty} \frac{1}{p} = \infty  \end{equation}