Leland Morrow

2022-06-25

Are all irrational numbers also normal numbers (probability of each decimal is equal)?

iceniessyoy

Expert

Liouville number $\lambda =\sum _{n=1}^{\mathrm{\infty }}\frac{1}{{10}^{n!}}$ is not only irrational, but is transcendental, see here, and its digits are only $0$s and s, where the $1is at factorial places.$