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 ...

Image made with elements from Canva. Let’s go back to grade school—do you remember learning about prime numbers? They’re numbers that can only be divided by themselves and one. So 2, 3, 5, 7, 11, and ...

Students in Melissa Williams' kindergarten class at the Westminster School in Atlanta, Georgia, practice connecting quantities to written numbers — a key part of number sense. Credit: Holly Korbey for ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

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, ...

For centuries, mathematicians have categorized infinities into a kind of ladder. The infinite set of natural numbers (1, 2, 3, and so on) sits on one rung. On a higher rung, the infinite set of real ...