"The series [see title] converges to 38.43... so slowly that it requires 10^(3.14*10^86) terms to give two-decimal accuracy"
example 16 - "The series Sum_{k=3..inf} 1/(k log k (log log k) diverges, but the partial sums exceed 10 only after a googolplex of terms have appeared"
REFERENCES
Daniel Zeillinger, Editor, CRC Standard Mathematical Tables and Formulae, 31st Edition, Chapman & Hall/CRC, Boca Raton, 1.3.9 Miscellaneous Sums and Series, example 15, page 42, 2003.
