deletions | additions       diff --git a/section_Consequences_If_we_can__.tex b/section_Consequences_If_we_can__.tex  index c22fbff..0f9d0e0 100644  --- a/section_Consequences_If_we_can__.tex  +++ b/section_Consequences_If_we_can__.tex 
...
If we can find the relationship of the $\chi_{p_n}$ functions, then we can state the following \begin{equation}  p_n=\lim_{z\to0}\frac{d}{dz}\left[\frac{\sum_{k=0}^{\varphi(p_{n-1}\#)}\chi_{p_n}(k)z^k}{1-z-z^{\varphi(p_{n-1}\#)}+z^{\varphi(p_{n-1}\#)+1}}\right]  \end{equation}  then it follows that \begin{equation}  p_n=\lim_{z\to0}\frac{1}{2}\frac{d^2}{dz^2}\left[\frac{\sum_{k=0}^{\varphi(p_{n-1}\#)}\chi_{p_n}(k)z^k}{1-z-z^{\varphi(p_{n-1}\#)}+z^{\varphi(p_{n-1}\#)+1}}\right]  \end{equation}