400 Followers Problem - Reciprocal Summations 3

Calculus Level 5

S=1+1517111+113+117119123+\large{S = 1 + \dfrac{1}{5}- \dfrac{1}{7} - \dfrac{1}{11} + \dfrac{1}{13} + \dfrac{1}{17} - \dfrac{1}{19} - \dfrac{1}{23} + \ldots }

If SS can be expressed as πAB\dfrac{\pi^A}{B} for positive integers A,BA,B, submit the value of A+BA+B as your answer.


Also try these:
400 Followers Problem - Reciprocal Summations #1
400 Followers Problem - Reciprocal Summations #2
×

Problem Loading...

Note Loading...

Set Loading...