How Fermat’s less famous "little theorem" got mathematicians young and old to play with prime-like Carmichael numbers.

Sitting alongside the neurons in your enteric nervous system are underappreciated glial cells, which play key roles in digestion and disease that scientists are only just starting to understand.

Three computer scientists have disproved a long-standing conjecture about a fundamental problem involving imperfect information.

Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians.

By bringing together disparate approaches, machines can reach a new level of creative problem-solving.

Cells in the placenta have an unusual trick for activating gentle immune defenses and keeping them turned on when no infection is present. It involves crafting and deploying a fake virus.

Scientists have recently discovered scores of free-floating worlds that defy classification. The new observations have forced them to rethink their theories of star and planet formation.

The discovery that the brain has different systems for representing small and large numbers provokes new questions about memory, attention and mathematics.

In the rumbles and groans of underwater volcanoes, Jackie Caplan-Auerbach finds her favorite harmonies — and clues to the Earth’s interior.