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After a year with "1" as the leading digit, it hits 2m and the leading digit changes to "2".
After a little over three years the country's population is 10m, so that "1" is the leading digit again, where it stays for another year.
It is possible to get a feel for why the number one is so common as a leading digit simply by writing down numbers and observing the patterns but, as Bellos notes, it is certainly not a rigorous proof.
It just means the leading digit might be a little lower than we'd all expected.
For example, finding the leading digit of 2y where y is a 500 digit positive integer takes several hours.
For example, for the leading digit to be 9, the absolute difference is.0159 only, however resulting in the relative difference of nearly 35%.
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But this means the leading digits "2" and "3" have both passed by in less than a year, occurring for fewer days than "1".
Across thousands of metrics, including 3,259 different population distributions and 741 sources of data on firms' costs, he found that leading digits (for example, the numbers "3" and "7" in 3,259 and 741, respectively) are not distributed evenly, as you might expect.
Individual atoms were denoted by a 6 component code in which the last 2 digits signify the number of the symmetry operator, the proceeding 3 digits give the lattice translation and the leading digits the atom number.
Benford's law on the distribution of leading digits can also be explained by scale invariance.
Additional efficiency can be gleaned by examining only the leading digits of the two numbers a and b.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com