To actually quantify how "surprised" we should be, see e.g.: • Gauss-Kuzmin distribution: https://en.wikipedia.org/w/index.php?title=Gauss%E2%80%93Kuzmin_distr

To actually quantify how "surprised" we should be, see e.g.: • Gauss-Kuzmin distribution: https://en.wikipedia.org/w/index.php?title=Gauss%E2%80%93Kuzmin_distribution&oldid=1098003937 https://en.wikipedia.org/w/index.php?title=Gauss%E2%80%93Kuz... • This post: https://11011110.github.io/blog/2022/06/04/maybe-powers-pi.html https://11011110.github.io/blog/2022/06/04/maybe-powers-pi.h... (Look at the tail of the distribution, i.e. sum(p(k)) for k ≥ 292 — that will give the probability that a specific term in the continued fraction of a "random" number is at least 292. This is about 31% I think, so not too surprising.)