erdos conjecture AI News & Updates
OpenAI's Reasoning Model Disproves 80-Year-Old Erdős Conjecture in Geometry
OpenAI claims its new general-purpose reasoning model has autonomously produced an original mathematical proof disproving a famous unsolved conjecture in geometry first posed by Paul Erdős in 1946. This follows a previous false claim seven months ago where OpenAI mistakenly announced GPT-5 had solved Erdős problems, only to discover it had found existing solutions. The current claim is supported by verification from prominent mathematicians including Noga Alon, Melanie Wood, and Thomas Bloom, marking what OpenAI calls the first time AI has autonomously solved a prominent open problem in mathematics.
Skynet Chance (+0.04%): Autonomous complex reasoning and novel problem-solving in mathematics demonstrates AI systems can now perform sophisticated intellectual tasks independently, potentially increasing capability for unexpected behaviors. However, mathematical reasoning is still a narrow domain and doesn't directly relate to goal misalignment or control challenges.
Skynet Date (-1 days): The demonstration of long-chain autonomous reasoning capabilities suggests faster-than-expected progress in AI systems that can independently solve complex problems. This acceleration in reasoning capabilities could shorten timelines to advanced AI systems that might pose control challenges.
AGI Progress (+0.04%): Successfully solving a prominent 80-year-old mathematical problem autonomously using a general-purpose reasoning model represents significant progress toward AGI's requirement for abstract reasoning, creativity, and intellectual generalization. The ability to discover novel solutions across fields suggests meaningful advancement in core AGI capabilities beyond narrow pattern matching.
AGI Date (-1 days): The breakthrough demonstrates that general-purpose reasoning models are advancing faster than anticipated, achieving autonomous novel research contributions sooner than expected. This suggests acceleration in the timeline toward AGI as systems demonstrate intellectual capabilities previously thought to require human-level general intelligence.