A worksheet on mathematical induction. The exercises require to prove 10 statements using this method of proof. A comprehensive, no-prep resource packed with 10 structured algebraic problems to master ...

Google DeepMind's Gemini agents found proofs for open math problems, including Erdős problems unsolved for 56 years, at low ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

OpenAI's unreleased Astra model has produced what its October 2025 announcement only pretended to: genuine solutions to ten long-standing open problems in mathematics and theoretical computer science, ...

Teach Divisibility and Foundational Axioms with expert-level confidence—even if your degree isn’t in Maths. Eliminate maths-anxiety and immediately reclaim your planning time with this comprehensive, ...

The quest to make mathematics rigorous has a long and spotty history — one mathematicians can learn from as they push to formalize everything in the computer program Lean. In ancient Greece, Euclid ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...