This Benford's Law stuff is really funny. I did a news search to see what was coming up. Here's one article:
https://www.truthorfiction.com/does-benfords-law-prove-election-fraud-in-biden-votes/
It basically describes some of the claims going about, showing how they are wrong, but the site itself does a terrible job, starting with their description of Benford's Law.
"[Benford’s Law is] the principle that in any large, randomly produced set of natural numbers, such as tables of logarithms or corporate sales statistics, around 30 percent will begin with the digit 1, 18 percent with 2, and so on, with the smallest percentage beginning with 9. The law is applied in analyzing the validity of statistics and financial records."
No. Just no. First of all, "tables of logarithms", are not "a randomly produced set of natural numbers". Second, it isn't in "any randomly produced set of natural numbers". It's just not. Not even close. Whoever wrote that line, presumably the truthorfiction.com authors cribbed it from somewhere, just didn't understand Benford's Law, or nature.
If I have a Gaussian distributed random variable (and those of you who know what that means probably also know that they occur a lot in nature - curse you Central Limit Theorem), the numbers recorded for it won't follow Benford's law. If you have a uniform distribution, which is much rarer in nature, but common in games and probability, it won't follow Benford's Law. If you have any distribution that doesn't span at least one order of magnitude it can't possibly follow Benford's Law.
On the other hand, if you have something that follows an exponential pattern, it will follow Benford's Law. As many of you know, lots of natural processes are described by differential equations, and those have a lot of exponentials in them, so lots of natural processes work with Benford's Law.
And, it turns out, that while a gaussian distribution does not follow Benford's law, the product of two gaussians will....some restrictions apply. The product of many gaussians also will. So will the product of uniform distributions. That's why the product of dice rolls will follow Benford's Law, but the sum of dice rolls will not. And this is related to why you can make use of Benford's Law to catch accounting fraud.
But, the cool think is seeing all these people talk about it, and just getting it wrong from every angle. It's not some magic formula that roots out fraud. The misinformation is flowing fast and furious about it.