I have downloaded the first 1 million digits of pi and was checking which number appears most often. All numbers except the 6 are in the lead at some point in time. But after 1 million digits the 6 falls more than 800 occurrences behind the most frequent digit, which is 5 at that position. So I guess it must take quite a long time until the 6 will catch up and I wonder when the number 6 will be the most frequent one (should happen one day, no?).

Could someone either tell me when the 6 will be in the lead or point me to a place where I can download let's say 10 million digits of pi?