The last dimension of Keller's conjecture has been proven using a computer algorithm. The conjecture involves the way hypercubes in different dimensions share sides when tiled. The proof is ...

“Every step down is a step towards the ultimate answer,” he adds. That goal is the proof of a conjecture concerning prime numbers: whole numbers that are divisible only by one and by themselve ...

The telescope conjecture gave mathematicians a handle on ways to map one sphere to another. Now that it has been disproved, the universe of shapes has exploded. In early June, buzz built as ...

“When I saw Kate and James were doing a number theory REU, I said, ‘That one! I want that one!’” CU Boulder students Clyde Kertzer and Summer Haag disproved a longstanding conjecture in mathematical ...

All products featured on WIRED are independently selected by our editors. However, we may receive compensation from retailers and/or from purchases of products through these links. Much of ...

Unexpectedly, three mathematicians have now shown that a well-known hypothesis in probability theory called the bunkbed conjecture falls into this category. The conjecture — which is about the ...

But the fact that the conjecture is true was no surprise at all. Mathematicians have a reputation of being no-bullshit hard cases who don’t believe a thing until it’s locked down and proved.

After some debate they arrived at a single question, later known as the Erdős-Faber-Lovász conjecture. It concerns the minimum number of colors needed to color the edges of hypergraphs within ce ...

The work is “a remarkable breakthrough,” mathematician and Fields Medalist Terence Tao wrote on Mastodon, “though still very far from fully resolving this conjecture.” If you're enjoying ...