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 ...

For thousands of years, philosophers have pondered cardinality: knowing “how many.” Using a series of crude estimates, the ancient Greek mathematician Archimedes worked out the approximate number of ...

Last week, Yitang “Tom” Zhang, a popular math professor at the University of New Hampshire, stunned the world of pure mathematics when he announced that he had proven the “bounded gaps” conjecture ...