Jeffrey Gaynor wrote:
It is the simple "fractional" look about pi vs. how hard it is to compute that drives most of the confusion about pi. The digits of pi are in effectively random order (each digit occur roughly 10% of the time), ...

This is equivalent to stating that pi is normal, something which is widely suspected but has not yet been proven.

There are fun math questions, for instance, is there a run of a million 1's someplace in the decimal expansion of pi?

The answer is yes, if pi is normal. Every finite sequence of digits will appear with the expected frequency. In all bases.

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