For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help identify them and the way they’re distributed among other numbers ...

Imagine you have a list of 1s, 2s, 3s, and 4s from which you want to find patterns in the form 1-2-3-4 or 4-3-2-1. The list is about 100,000 items long.For example:1 ...

A new artificially intelligent "mathematician" known as the Ramanujan Machine can potentially reveal hidden relationships between numbers. The "machine" consists of algorithms that seek out ...

The seemingly random digits known as prime numbers are not nearly as scattershot as previously thought. A new analysis by Princeton University researchers has uncovered patterns in primes that are ...

Finding, describing, explaining, and using patterns to make predictions are among the most important skills in mathematics. When perceiving a graph for example, the first step is pattern ...

number theory Mathematicians Catch a Pattern by Figuring Out How to Avoid It We finally know how big a set of numbers can get before it has to contain a pattern known as a “polynomial progression.” ...

Yet in an uncanny number of real-world data sets, an astonishing 30.1 percent of the entries begin with a 1, 17.6 percent begin with a 2, and so on. This phenomenon is known as Benford's law.

Mathematics students face challenges with rational and irrational numbers. Understanding the principles and patterns simplifies this concept. Rational numbers can be fractions of integers ...