By extending the scope of a key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward ...

But our actual solution is hiding in here. Remember, we know eight packs of hot dogs and five packs of buns will always match up at 40 (the way our previous example had solutions of 16 and 56), so we ...

String Theory and Number Theory Have More in Common Than You Think, Maaaaaan A physicist and mathematician walk into a weird, mushed elliptical curve. Here's what they find.

In modern number theory, one understands the solutions, in whole numbers or fractions, to equations by understanding, in part, the special groups that underlie them.

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

Many number theorists are motivated purely by mathematical intrigue, and historically number theory had few applications outside of the subject. However, this is no longer true.

Describing number theory in the book’s preface, Weissman writes, “The problems in this book are about numbers and their relations to each other. These sorts of questions were interesting for mystical ...