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Although this is ill defined ($x=1$ never converging) to an extent, it would also indicate that \begin{equation}  \sum_{n=1}^\infty C(n) = \phi  \end{equation}  which is perplexing, as how could the sum of integers only lead to an/(the most) irrational number. However, it could be in a regularised sense, in the same way that \begin{equation}  \sum_{n=1}^\infty n = \frac{-1}{12}  \end{equation}  \section{Further Conclusions}  It may be possible that the relationship between these two function types is a Hankel Transform. This can easily be verified by checking well known pairs. This would be exciting, as we may then indicate that the Hankel transform of the numbers $1,2,3,4,5$ is the sequence $1,2,10,74,706$ and that the Hankel transform of the primes is the sequence $2,6,48,594,10520$. However, this is just conjecture at this stage.