The harmonic series is the series 1 + 1/2 + 1/3 + 1/4 + 1/5 + .... It has been proven to diverge but does so very slowly. Let's define a function Ha(n), the amount of terms that it takes to get to a certain number. On the 10000th term it hasn't even gotten to 10! May result in rounding errors. Use turbo mode if you want to get your results fast!
The Ha(n) function seems to be roughly exponential. After computing over 600,000 terms, I finally reached 14!