Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.

A 23‑year‑old amateur maths enthusiast, Liam Price, used ChatGPT‑5.4 Pro to solve one of Erdős’s long‑standing “primitive set” problems, which had remained unresolved since the early 1960s.

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it ...

Heart valve diseases affect how blood flows through the heart muscle. Symptoms of heart valve disease can be subtle or develop slowly over time, with extreme fatigue often being the first sign.