Struggling with math problems that can’t be solved helps us better understand the ones we can.

Despite recent progress on the notorious Collatz conjecture, we still don’t know whether a number can escape its infinite loop.

How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries.

Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.

Finding the best way to approximate the ever-elusive irrational numbers pits the infinitely large against the infinitely small.

No one knows how to find the smallest shape that can cover all other shapes of a certain width. But high school geometry is getting us closer to an answer.

Looking for answers in infinite space is hard. High school math can help narrow your search.

The way you learned to multiply works, but computers employ a faster algorithm.

Polynomials aren’t just exercises in abstraction. They’re good at illuminating structure in surprising places.

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