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Decades ago, a mathematician posed a warmup problem for some of the most difficult questions about prime numbers. It turned out to be just as difficult to solve, until now.

A new paper shows how to create longer disordered strings than mathematicians had thought possible, proving that a well-known recent conjecture is “spectacularly wrong.”

By carefully constructing a multidimensional and well-connected graph, a team of researchers has finally created a long-sought locally testable code that can immediately betray whether it’s been corrupted.

Hosted by Steven Strogatz, The Joy of x podcast is back with new episodes that explore the inner worlds of top-tier scientists and mathematicians like Frank Wilczek, Bonnie Bassler and Amie Wilkinson.

A number theorist recalls his first encounter with the Riemann hypothesis and breaks down the math in a new Quanta video.

We’ve created a new way to explore the fundamental constituents of the universe.

The human mind has long grappled with the elusive nature of time: what it is, how to record it, how it regulates life, and whether it exists as a fundamental building block of the universe.

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space.

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