Number enthusiasts may be looking to the new year with a touch of melancholy. Another perfect square like 2025 (45 2 = 2,025) ...

A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture. One morning last November, the ...

An example of a linear sequence. A list of numbers or diagrams that are in a particular order is called a sequence close sequenceA sequence is a set of numbers that follow a certain rule. For example, ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...