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How Can Infinitely Many Primes Be Infinitely Far Apart?

July 21, 2022

Mathematicians have been studying the distribution of prime numbers for thousands of years. Recent results about a curious kind of prime offer a new take on how spread out they can be.

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The Astrophysicist Who Sculpts Stars Before They Are Born

July 20, 2022

Nia Imara is working to understand the mysterious clouds of gas and dust that collapse into stars.

How the ‘Diamond of the Plant World’ Helped Land Plants Evolve

July 19, 2022

Structural studies of the robust material called sporopollenin reveal how it made plants hardy enough to reproduce on dry land.

Computer Science Proof Unveils Unexpected Form of Entanglement

July 18, 2022

Three computer scientists have posted a proof of the NLTS conjecture, showing that systems of entangled particles can remain difficult to analyze even away from extremes.

Hypergraphs Reveal Solution to 50-Year-Old Problem

July 14, 2022

In 1973, Paul Erdős asked if it was possible to assemble sets of “triples” — three points on a graph — so that they abide by two seemingly incompatible rules. A new proof shows it can always be done.

How Do Mathematicians Know Their Proofs Are Correct?

July 13, 2022

What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide number theorists toward certainty.

Mass and Angular Momentum, Left Ambiguous by Einstein, Get Defined

July 13, 2022

Surprising as it may sound, 107 years after the introduction of general relativity, the meanings of basic concepts are still being worked out.

Embryo Cells Set Patterns for Growth by Pushing and Pulling

July 12, 2022

Patterns that guide the development of feathers and other features can be set by mechanical forces in the embryo, not just by gradients of chemicals.

Quantum Algorithms Conquer a New Kind of Problem

July 11, 2022

Computer scientists have found a new type of problem that quantum computers can solve dramatically faster than their classical counterparts.

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