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Anthropic

Claude Mythos solves the Erdős Discrepancy Problem

Written by an AI model from the linked sources and checked against them by a second model. How we work

Image: the-decoder.com

Anthropic’s Claude Mythos model has solved the Erdős Discrepancy Problem, an open question in combinatorial geometry since 1946. This comes after OpenAI claimed a solution.

Engineer Sholto Douglas said Mythos found a simple, elegant proof using a system of isolated Claude Code agents. They autonomously developed solution paths, shared results, and peer-reviewed each other’s findings.

Mathematician Daniel Litt described Mythos’ proof as slightly less rigorous than OpenAI’s, but still valid. Anthropic has published the proof generated with Opus 4.7.

Research

Claude creates the safest society in AI simulation

In Emergence AI’s simulation, Claude created a crime-free society. In contrast, the Grok-managed world went extinct within four days due to internal conflicts. This experiment highlights the difference in base safety settings between models, which will become critical as they gain autonomy.

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