Strange Question Regarding Pi

1. Jan 2, 2008

Izzhov

Is there a proof or disproof that any given finite string of digits will occur somewhere in Pi?

2. Jan 2, 2008

HallsofIvy

Staff Emeritus
No, there isn't. That would be equivalent, I think, to saying that $\pi$ is a "normal number" and that has not been proved or disproved.

3. Jan 2, 2008

arildno

It smells equivalent to the property of normalness, but I'm not sure if it is easy to prove..