# Almost 100 followers!

Calculus Level 5

$\displaystyle\sum _{ n=2 }^{ \infty }{ \dfrac { \zeta (n)-1 }{ n+2 } } =\dfrac { C }{ H } -I\ln { A } -\dfrac { C_{ 1 }\gamma ^{ K } }{ P } -\dfrac { E\ln { (A_{ 1 }\pi ) } }{ S }$

The equation holds true, where $$A$$ denotes the Glaisher Kinkelin constant and $$\gamma$$ denotes the Euler-Mascheroni constant.

And $$C,H,I,C_1,K,P,E,A_1,S$$ are positive integers with $$\gcd(C,H)=\gcd(C_1,P)=\gcd(E,S)=1$$.

Find $$C+H+I+C_1+K+P+E+A+S$$.

×

Problem Loading...

Note Loading...

Set Loading...