Hi I've been playing around with Benford's Law and noticed the following curiosity. For a finite sequence of the positive integers, the probability of a number beginning with 9 is lowest when we cut off the sequence just before the reappearance of 9. So, up to 89, the chance of a number starting with a 9 is 1/89. Up to 899, the chance of a number starting with a 9 is 11/899. Up to 8999, the chance of a number starting with a 9 is 111/8999 If we carry on, this appears to be converging to 1/81, which is the lovely repeating decimal 0.0123456790123456790... My maths isnt good enough to prove this rigorously, but it seems to be true, and is delightful to me anyway! It's not in any of the Benford's literature that i have. Does anyone else have any fun insights into Benford's Law? Alex