## Journey into PI

### Is $$\pi$$ normal in base 27?

Consider the expansion of $$\pi$$ with $$148 \,000 \,000$$ digits in base $$27$$ that we present.

We can generalize the considerations made in the decimal base to test the regularity of the distribution of digits of $$\pi$$ on this basis.

It follows, that the number of times that, in this expansion in base $$27$$, is reasonable to expect a certain pattern of $$5$$ character is given by $C(n)=\frac{1.48\times10^{8}}{27^{5}}\approx10.$

To search for a name with $$6$$ characters, it should be $C(n)=\frac{1.48\times10^{8}}{27^{6}}\approx0.4.$

Good luck.