# Not A Telescoping Sum

Calculus Level 5

$\large \sum_{k = 1}^{\infty} \left(\dfrac{1}{3k-1}-\dfrac{1}{3k}\right)$

The above sum has a closed form of $\large \dfrac{\ln{A}}{B} - \dfrac{\pi\sqrt{C}}{D^2 E} \;$ where $$A,B,C,D$$ and $$E$$ are positive prime numbers. Find the value of $$A+B+C+D+E$$.

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