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.

The discovery may aid research in both mathematics and materials science. “Prime numbers have beautiful structural properties, including unexpected order, hyperuniformity and effective limit-periodic ...

Archaeologists working in northern Mesopotamia say they have uncovered visual patterns that look a lot like structured ...

How did you learn the mathematical formula for pi? It was likely the way I learned it. I was told to commit the value pi = 3.14 to memory along with the formula to calculate the area of a circle.

Pattern analysis makes for better image processing. Images on the right were compressed with the conventional JPEG format. Images on the left were reconstructed with a new technique that analyses ...

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 ...

Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, mathematicians have wondered if the prime numbers are truly random, or if ...

A year after he started his Ph.D. in mathematics at McGill University, Matt Bowen had a problem. “I took my qualifying exams and did absolutely horribly on them,” he said. Bowen was sure that his ...

One of the most widely adopted of the seven patterns of AI is the Patterns and Anomalies pattern. Machine learning is particularly good at digesting large amounts of data very quickly and identifying ...

Some mathematical patterns are so subtle you could search for a lifetime and never find them. Others are so common that they seem impossible to avoid. A new proof by Sarah Peluse of the University of ...

The Serial Number Lottery Hidden in Your Wallet Here's the thing: you probably toss dollar bills around without a second glance. Most people do.Yet somewhere in that crumpled stack of singles in your ...

Once a machine-vision system has acquired an image, a software image-analysis algorithm, known as a pattern-finding tool (PFT), must determine whether the image contains a particular pattern. While ...