Here we have calculated, how often the figures 0 to 9 occur in the number Pi, if we increase the number of positions in Pi always by a factor 10.

That means, we start with 10 positions, then we take 100 up to

The table had to be divided into 2 parts.

• In the first row the figures 0 to 9 are shown.
• In the first column of the first part is shown, how many positions of Pi are calculated.
• In the table is then shown, how often a figure is contained in Pi
• in the last row each column is summed up 10 million positions

Results:

• We see, that the 4 is most often contained in Pi
• 2 and 3 occur each 103 times up to position 1000
• 2 and 6 occur each 1021 up to position 10 000
• 3 and 4 occur each 100230 up to position 10 000 000

Is that just a chance  or a hint, that there exists a structure in Pi, which we can describe with a mathematical equation ?

These results may change, if we increase the number of positions, which we take into account.

part 1 of table

part  2 of table should be added to the right side of part 1