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It pays to read to the end:

  in reverse order. Starting from the 1st occurrence of the digit sequence, 53961271991.
At first it sounds like a Google job application, but it appears to be some sort of CAPTCHA to prevent people from reporting too many botnets.
Is it a CAPTCHA or a CAPTHCA? Keeps computers in and humans out...?
It changes each time you visit it. I just got

Please enter the first 2577 digits of (1/2)!.

Me too. I'm not even sure what that means. Are you supposed to apply the gamma function?
(comment deleted)
I think I will need a botnet to fill that form...Anyone renting?
I calculated the first 10 million digits of E:

http://dl.dropbox.com/u/59605/ten_million_e.txt

However, the digit sequence I was looking for didn't appear :-(

Looks like it would require a massive amount of computing power (or a much better algorithm than mine) to solve this.

I'm curious as to how were you able to calculate the value of 'e' to such a large extent, can you share the code ?