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Benedict Irwin edited Prime Factors.tex
almost 10 years ago
Commit id: ce04ba0a95059db4820d499a19de85b46566a024
deletions | additions
diff --git a/Prime Factors.tex b/Prime Factors.tex
index a3ef85f..f9c885e 100644
--- a/Prime Factors.tex
+++ b/Prime Factors.tex
...
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}