Mathematicians rejoice when they prove that seemingly impossible things exist. Such is the case with a new proof posted online in March by Cédric Pilatte, a first-year graduate student at the ...

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it ...

A mathematician may have just proved the impossible possible. For 30 years, mathematicians wondered if you could have an infinite set of numbers where each pair of numbers adds up to a unique value, ...

The original version of this story appeared in Quanta Magazine. A new proof has brought mathematicians one step closer to understanding the hidden order of those “atoms of arithmetic,” the prime ...