To go along with Factorial Sequence, I present Factorial Sequence II. You can approximate the length of x! by multiplying x*log(x/e).

Now, using this knowledge, find the value at which the length of x! is equal to 1,000,000,000?

(In reply to computer solution by Charlie)

It was about two in the morning when I submitted this. Just like in Factorial Sequence, I meant equals/exceeds. My program was running as I typed the body of the problem, so I didn't have the solution until slightly after I had finished typing the problem. Sorry about that!

Posted by Justin on 2006-03-13 09:30:12