A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. This simple definition holds the key to our identification method.

Identifying prime numbers among small integers is relatively simple, but the task becomes Herculean with large numbers. This complexity has pushed researchers to develop more sophisticated methods ...

Prime numbers have been investigated for more than 2,000 years, since at least the era of the ancient Greek mathematician Euclid. There are infinitely many, but what is the largest known prime number?

For the first time in more than 25 years, mathematicians have proven a new way to identify prime numbers, and in doing so developed a toolkit that could allow further advances in number theory.

By having some nonzero cyclotomic numbers, a well-known algorithm for constructing optimal conflict-avoiding codes will work for certain prime lengths. As a consequence, we are able to answer the size ...

Prime Number Notes: This article presents well drafted notes on Prime Numbers which will help students clear their concepts of this prominent part of number theory. Download notes in PDF.

A Proof from Antiquity Mathematics has an unlimited number of prime number building blocks. Euclid proved this more than 2,000 years ago with a simple thought experiment. Suppose there were only a ...