Earlier this year, a trio of mathematicians decided to make lemons into lemonade — and ended up making major headway on a problem that mathematicians have been thinking about for centuries.

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 ...

Prime numbers, whole numbers greater than one with only two factors (one and themselves), are fundamental in mathematics. They serve as building blocks for all other whole numbers, a concept known as ...