Consider the numbers used - Even Numbers and Primes. Both groups have a common property - Digital Roots All Digital Roots have a common property - an infinite loop ...

A new mathematical framework, built on a branch of number theory called adelic analysis, has produced a complete proof of the ...

A centuries-old conjecture is nearing its solution. You have full access to this article via your institution. Download PDF An article from Scientific American. One ...

Like the elements in chemistry, prime numbers serve as building blocks in the mathematics of whole numbers. Evenly divisible only by themselves and one, primes are a rich source of speculative ideas ...

The best kinds of ideas about numbers are easy to understand but devilish to actually prove. We saw that in the YouTube channel Numberphile's video about the Collatz conjecture. Now that channel and ...

Peruvian mathematician Harald Andrés Helfgott made headlines after news broke that he had demonstrated the solution to a 271-year-old problem in number theory. Back in 1742, Prussian mathematician ...

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown. Mountain climbing is a beloved metaphor for mathematical research.

One of the oldest unsolved problems in mathematics is also among the easiest to grasp. The weak Goldbach conjecture says that you can break up any odd number into the sum of, at most, three prime ...