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.

Problem solving is the mental process of analyzing a situation, learning what options are available, and then choosing the alternative that will result in the desired outcome or some other selected ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

OpenAI claims its model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years — a breakthrough hailed as evidence of the bot’s creativity and “intuition.” ...

Company says work on Paul Erdős planar unit distance problem shows advance in AI reasoning OpenAI has claimed a further advance in AI reasoning after its technology successfully tackled an 80-year-old ...

AI math proof verification reached a new frontier as DeepMind’s AlphaProof Nexus solved nine open Erdős research problems with Lean-verified proofs, some unsolved for 56 years. The May 2026 Science Ne ...

Five steps to ensure that you don’t jump to solutions by Julia Binder and Michael D. Watkins When business leaders confront complex problems, there’s a powerful impulse to dive right into “solving” ...

Goldbach’s conjecture sounds almost too simple: every even number greater than two should be the sum of two primes. Mathematicians have chased it for nearly 300 years, a publisher once offered $1 ...

OpenAI has once again made a big claim in the world of AI and mathematics. The company says that one of its latest AI reasoning models has successfully solved a famous geometry problem that remained ...