A Russian mathematician may have finally cracked one of the most famous problems in mathematics: the Poincaré conjecture, a question about the shapes of three-dimensional spaces. If his work is ...

In Chasing (a) Conjecture, Khare has done more than narrate a personal triumph. He has rendered the abstract palpably human, ...

Infinity down, only 69,999,997 to go. New research has proved that prime numbers don't just disappear as numbers get larger — instead, there is an infinite number of prime numbers separated by a ...

Infinity down, only 69,999,997 to go. New research has proven that prime numbers don't just disappear as numbers get larger — instead, there is an infinite number of prime numbers separated by a ...

A famous conjecture in number theory has stood unproven for more than 150 years, but for the second time this year, mathematicians have gotten dramatically closer to proving it. With a strategy others ...

The Latin root of the word conjecture, conicere, means to throw things together. Think of Jackson Pollock splashing different paints onto a canvas and hoping for some kind of coherent result. In ...

A pair of mathematicians has solved the first chunk of one of the most famous conjectures about the additive properties of whole numbers. Proposed more than 60 years ago by the legendary Hungarian ...

Monstrous moonshine, a quirky pattern of the monster group in theoretical math, has a shadow -- umbral moonshine. Mathematicians have now proved this insight, known as the Umbral Moonshine Conjecture, ...

The world may seem orderly, but randomness and chaos shape everything in the universe, from enormous galaxies all the way down to subatomic particles. Take a chilly window sheeting over with ice: even ...