What is the result of adding a HP series to a fraction sequence?

[Puneeth423]

1/5 + 1/7 + ..... + 1/401

 

[chiro]

Hey Puneeth423.

Try considering the Euler-product with a(n) = n^(-s-1) or if you want to find the result explicitly use a computer.

 

[haruspex]

Try adding (1/2 + 1/3 + 1/4 + .. + 1/200)/2.