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 ...

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.” ...

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 ...

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

In a recent paper, two mathematicians showed that a particular pattern is unavoidable when fractions are categorized. For almost a century, Ramsey theorists have been gathering evidence that ...

One can learn to see the other pattern, after having been shown it. Patterns are discoverable everywhere around in numbers, words, images, people, environment, the music, and even in ourselves.