This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right ...

A high school teacher didn't expect a solution when she set a 2,000-year-old Pythagorean Theorem problem in front of her ...

A University of Iowa researcher has been awarded $1.2 million from the National Science Foundation to develop a method to ...

When she was just 17 years old, Hannah Cairo disproved the Mizohata-Takeuchi conjecture, breaking a four-decade-old ...

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum ...

A Japanese mathematician claims to have the proof for the ABC conjecture, a statement about the relationship between prime numbers that has been called the most important unsolved problem in ...

Two mathematicians say they found a glaring hole in a proof that has convulsed the math community for years.

Given that the second part is clearly impossible (the digital root is a trivial thing to calculate), a proof of this would be a proof by contradiction of the Goldbach Conjecture.

In August 2012, Shinichi Mochizuki released a paper with a serious claim to a proof of the abc conjecture. Mochizuki calls the theory on which this proof is based inter-universal Teichmüller theory, ...

In the decades since mathematicians first proposed the sensitivity conjecture (without proving it), theoretical computer scientists realized that it has huge implications for determining the most ...

A team led by mathematician Thomas Hales has delivered a formal proof of the Kepler Conjecture, which is the definitive resolution of a problem that had gone unsolved for more than 300 years. The ...