# Here’s the distribution of the first million digits of the…

[This article was first published on

Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

**Human Mathematics**, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

Here’s the distribution of the first million digits of the square root of two’s decimal expansion.

```
Number of digits | is:
0's | 99 818
1's | 98 926
2's | 100 442
3's | 100 191
4's | 100 031
5's | 100 059
6's | 99 885
7's | 100 012
8's | 100 347
9's | 100 126
```

If each digit had a Bernoulli chance of coming up (like a 10-sided die), you’d expect to see 10 000 ± 30 times. And going on with that same assumption, the chance of the least-frequent digit coming up less than 99 000 times would be something like one percent.

What does it mean? I will meditate on this and expand √2 in different bases besides 10.

To

**leave a comment**for the author, please follow the link and comment on their blog:**Human Mathematics**.R-bloggers.com offers

**daily e-mail updates**about R news and tutorials about learning R and many other topics. Click here if you're looking to post or find an R/data-science job.

Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.