Question Number 141283 by Dwaipayan Shikari last updated on 17/May/21
$$\frac{\zeta\left(\mathrm{2}\right)}{\mathrm{2}^{\mathrm{3}} }−\frac{\zeta\left(\mathrm{3}\right)}{\mathrm{3}^{\mathrm{3}} }+\frac{\zeta\left(\mathrm{4}\right)}{\mathrm{4}^{\mathrm{3}} }−\frac{\zeta\left(\mathrm{5}\right)}{\mathrm{5}^{\mathrm{3}} }+... \\ $$