Using crowd-sourced and traditional mathematics research, Terence Tao has devised a solution to a long-standing problem posed by the legendary Paul Erdős. A simplified version of the problem goes like ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

1, 11, 21, 1211, 111221. These are the first five elements of a number sequence. Can you figure out what comes next? If you're trying a bunch of arithmetic operations to make the numbers work, you're ...

Imagine you're walking down a path, minding your own business, when suddenly you find yourself trapped in a net thrown on you by an evil troll. He poses a challenge to you: he will give you a sequence ...

Can you infer the simple rule behind a number sequence that spikes up and down like the beating of a heart? Our Insights problem this month is based on a sequence of integers which comes from Neil ...

A mathematician has built an algebraic solution to an equation that was once believed impossible to solve. The equations are fundamental to maths as well as science, where they have broad applications ...