Counting Primes Today

People all over the world are counting primes, probably even as we speak. See, e.g.,

http://www.utm.edu/research/primes/howmany.shtml

http://numbers.computation.free.fr/Constants/Primes/Pix/pixproject.html

A huge computation:

$$\pi(10^{22}) = 201467286689315906290$$

(I don't know for sure if this is right...)