Number Theory is one of the oldest branches of modern mathematics. It is motivated by the study of properties of integers and solutions to equations in integers. Many of its problems can be stated ...

The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan ...

How do you know when a polynomial equation has integer solutions? Trevor Wooley, Tim Browning and Andy Booker from the mathematics department of Bristol University are using analytical methods to ...

The On-Line Encyclopedia of Integer Sequences catalogues hundreds of thousands of integer sequences, and has been cited in thousands of research papers. The goal of this project is to discover new ...

For example, if \(a \textgreater 3\), then any number that is bigger than 3 is a possible answer, from any decimal slightly bigger than 3 to infinity. List the integer solutions to \(-5 \textless ...