The most trivial relationship was discovered by Euler. He observed that the Riemann Zeta function can be written as a product taken over the primes:
[math]\displaystyle \zeta(s)=\sum^{\infty}_{n=1}{\dfrac{1}{n^s}}=\prod_{p \text{ prime}}{\dfrac{1}{1-p^{-s}}}\tag*{}[/math]
Here is a sketch of the ...
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