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
- 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