Number sequences are sets of numbers that follow a pattern or a rule. Each number in a sequence is called a term. A sequence which increases or decreases by the same amount each time is called a ...

The ancient Babylonians were a remarkable bunch. Among many extraordinary achievements, they found a now-famous mathematical solution to an unpleasant challenge: paying tax. The particular problem for ...

Let p be an odd prime. Define $e_{n}=\cases (-1)^{n+\overline{n}}, & \text{if}\ n\ \text{is a quadratic residue mod}\ p\,\\ (-1)^{n+\overline{n}+1}, & \text{if}\ n ...

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 ...

CERTAIN quadratic series abound in prime numbers 1. Take, for example, the following Sequence in which the consecutive differences are 2, 4, 6, 8, etc. These are all prime numbers; the next term in ...

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 ...