Why the Legendary Erdős Problems Are Falling to AI
Quanta Magazine ● Covered by 9 sources
AI models from OpenAI solved multiple historical mathematical problems posed by Paul Erdős, starting with a counterexample to the 1946 unit distance conjecture in May 2026, followed by 10 additional advances in August 2026. A website created by mathematician Thomas Bloom in early 2023 cataloging nearly 1,000 Erdős problems became the central hub where AI researchers and mathematicians collaborated to verify and generate solutions, with costs now measured in computational tokens rather than prize money. The solutions demonstrate that large language models have become competitive in certain areas of mathematics like number theory and combinatorics, reshaping how mathematical research is conducted and evaluated.
Why it matters
Recent advancements in AI have led to breakthroughs in solving classical mathematical problems proposed by Paul Erdős using unique techniques, reshaping the landscape of mathematical inquiry.