The discovery may aid research in both mathematics and materials science. “Prime numbers have beautiful structural properties, including unexpected order, hyperuniformity and effective limit-periodic ...

Anthony Bonato does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

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 ...

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 ...

For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help identify them and the way they’re distributed among other numbers.