Pi, e, and the golden ratio
Number Theory
Level
3
In the first 10 digits
after the decimal point
of pi, e, and phi, which digit appears the most often?
The answer is 8.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Brute force. Simply construct a list and a tally. for e: 1's = 2 2's = 2 4's = 1 7's = 1 8's = 4 for pi 1's = 2 2's = 1 3's = 1 4's = 1 5's = 3 6's = 1 9's = 1 for phi 1's = 1 3's = 2 6's = 1 7's = 1 8's = 3 9's = 1 0's = 1 The total: 1's = 5 2's = 3 3's = 3 4's = 2 5's = 3 6's = 2 7's = 2 8's = 7 9's = 2 0's = 1. Thus, 8 appears the most.