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.<BR><BR>For ...

Montgomery happened to find strikingly similar behavior in the prime numbers— specifically, the correlations between the ...

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 ...

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 ...

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 ...

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 ...