These are math’s most famous open questions. Solve one, and you’ll win a $1-million prize—but it’s only happened once since ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians ...

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 ...

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.” ...

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 ...

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.

Combinatorial optimization and integer programming form the backbone of decision-making models in which discrete choices must be made under constraints. At its core, integer programming specialises in ...

Interval linear programming extends classical linear optimisation by allowing coefficients in the objective function and constraints to be specified as intervals rather than fixed values. This ...

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Every year, the countries competing in the International Mathematical Olympiad arrive with a booklet of their best, most original problems. Those booklets get shared among delegations, then quietly ...