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Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

Equations, like numbers, cannot always be split into simpler elements.

Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.

Akshay Venkatesh, a former prodigy who struggled with the genius stereotype, has won a Fields Medal for his “profound contributions to an exceptionally broad range of subjects in mathematics.”

Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.

Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.

An unexpected connection has emerged between the results of physics experiments and an important, seemingly unrelated set of numbers in pure mathematics.

Two years ago, Yitang Zhang was virtually unknown. Now his surprise solution to a major problem in number theory has catapulted him to mathematical stardom. Where does he go from here?

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