Joe Bidenís Votes Violate Benfordís Law (Mathematics)

Published on† November 7, 2020

Written by River|Himalaya Scholars

As the vote counting for the 2020 Presidential Election continues, various facts suggest rampant frauds in Joe Bidenís votes. So does mathematics in terms of the votes from precincts.

Benfordís law or the first-digit law, is used to check if a set of numbers are naturally occurring or manually fabricated. It has been applied to detect the voting frauds in Iranian 2009 election and various other applications including forensic investigations.

This is what described by Wikipedia:

ďBenfordís law, or the first-digit law, is an observation about the frequency distribution of leading digits in many real-life sets of numerical data. The law states that in many naturally occurring collections of numbers, the leading digit is likely to be small.

For example, in sets that obey the law, the number 1 appears as the leading significant digit about 30% of the time, while 9 appears as the leading significant digit less than 5% of the time. If the digits were distributed uniformly, they would each occur about 11.1% of the time. Benfordís law also makes predictions about the distribution of second digits, third digits, digit combinations, and so on.Ē

One of the examples is the population of the world, which are naturally occurring numbers. †

Distribution of first-digit (in %) of population numbers in 237 countries in 2010. (Source:

A number of people on the internet have checked the votes (precinct by precinct) of Joe Biden, Donald Trump as well as other candidates for their legitimacy in terms of the Benfordís Law.

According a Reddit user,†r/dataisbeautifulís calculation, the Ďnormalí distribution of first digits for the different candidates based on Benfordís law is illustrated below. 

Source of image: 

Youtuber Nyar has†shared†the observations on a number of counties, concluding that Trump and othersí votes have natural distribution but not for Joe Bidenís.

In Fulton County, Georgia, which overlaps with the Atlantic metropolitan where Joe Biden is expected to win, all of the three candidates have normal distributions for their votes. (Joe Biden 72.6%, Donald Trump 26.2%, Jo Jorgensen 1.2%. Source:

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In Miami-Dade County of Florida, which includes the Miami metropolitan where Joe Biden is expected to win, all candidatesí votes obey Benfordís Law. (Joe Biden 53.4%, Donald Trump 46.1%, Jo Jorgensen 0.3%. Source: 

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However, in the Milwaukee County of Wisconsin, which is in one of the key swing states, Joe Bidenís votes violate Benfordís Law while other candidatesí donít. (Joe Biden 69.4%, Donald Trump 29.4%, Jo Jorgensen 0.9%. Source: †

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And in Chicago of Illinois, Joe Bidenís votes are abnormal. †

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So does that of Allegheny of Pennsylvania which includes Pittsburg. (Joe Biden 59.0%, Donald Trump 39.9%, Jo Jorgensen 1.2%. Source:

It looks like MAYBE Biden had lost big cities like Chicago and Pittsburgh, which is why the fraudulent votes need to be brought in, which skew his curve away from a normal looking one.


All these data analysis according to the Benford's Law are coming from the source at:

However, there are also some scientists questioning the validity of the Benford's Law as the definite evidence that fraud took place.  We list both sides' links below for people to check it out. It's up to the readers to make up their opinion on whether there is fraud in the 2020 Presidential Election according to the Benford's Law. 

For more information about both sides of the Benford's Law, please check out the following informative links: