They are named after Diophantus of Alexandria, a 3rd-century mathematician who studied these problems. In the field of prime numbers, Diophantine equations can help characterize primality properties.

A modularised Java library with functionality: for fixed point and arbitrary precision arithmetic; matrices; getting prime numbers; and, generating pseudorandom numbers.

The Functions Framework for Java uses Java and Maven (the mvn command), for building and deploying functions from source. However, it is also possible to build your functions using Gradle, as JAR ...

These numbers, which are only divisible by 1 and themselves, form the atoms of number theory, so to speak, and have fascinated humankind for thousands of years.

The largest known prime number has been discovered, smashing the previous record by more than 16 million digits.

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.

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 ...

Abstract Are all prime numbers linked by four simple functions? Can we predict when a prime will appear in a sequence of primes? If we classify primes into two groups, Group 1 for all primes that ...

New work attacks a long-standing barrier to understanding how prime numbers are distributed.