Mathematicians are finding inevitable structures in sufficiently large sets of integers. Despite that, Furstenberg’s paper left a lasting imprint on mathematics. His new argument contained a kernel of ...

A new artificially intelligent "mathematician" known as the Ramanujan Machine can potentially reveal hidden relationships between numbers. The "machine" consists of algorithms that seek out ...

A new proof marks the first progress in decades on a problem about how order emerges from disorder. In February, Sah and Sawhney announced yet another joint accomplishment. With James Leng, a graduate ...

Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, mathematicians have wondered if the prime numbers are truly random, or if ...