Randomness

Mathematicians have had a hard time finding commonalities in large groups of random shapes — until recently.

Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures.

A previously unnoticed property of prime numbers seems to violate a long-standing assumption about how they behave.

The counterintuitive solution to this month’s puzzle raises philosophical questions about randomness and information.

Quanta’s new puzzle column asks you to believe the seemingly impossible — that you can win at a number guessing game with absolutely no information.