# Claude Mythos solves OpenAI's landmark Erdős problem with simple proof

> Source: <https://the-decoder.com/claude-mythos-reportedly-solves-openais-landmark-erdos-problem-with-a-cute-simple-proof/>
> Published: 2026-05-30 13:51:56+00:00

# Claude Mythos reportedly solves OpenAI's landmark Erdős problem with a "cute, simple proof"

**Anthropic employees say Claude Mythos can also solve OpenAI's "AI math milestone."** OpenAI recently [disproved the Erdős unit-distance conjecture](https://the-decoder.com/openai-shifts-the-boundary-of-automated-reasoning-with-a-milestone-in-ai-mathematics-that-experts-are-now-unpacking/), an open problem in combinatorial geometry since 1946. Anthropic engineer Sholto Douglas [wrote on X](https://x.com/_sholtodouglas/status/2059303540150137244) that Mythos solves it with a "cute, simple proof," a sign of "serious overhang" in AI-driven math discoveries.

The [team used a test system](https://x.com/__alpoge__/status/2059298567366513110) built after [AI solved Erdős problem #1196](https://the-decoder.com/openais-gpt-5-4-pro-reportedly-solves-a-longstanding-open-erdos-math-problem-in-under-two-hours/): isolated Claude Code instances with Mythos access receive the problem, develop solution paths, and then one instance summarizes and distributes them to further instances working independently. Mythos frequently took a different route than OpenAI's model. [Mathematician Daniel Litt called](https://x.com/littmath/status/2059309078812180877) the result "a bit worse" than OpenAI's, but Mythos reportedly found OpenAI's solution too. Anthropic published a [proof version prepared by Opus 4.7](https://www-cdn.anthropic.com/files/4zrzovbb/website/ca35f196125c899a5ad11f011080202a652aef02.pdf).

Google DeepMind also recently announced that an AI-assisted system [solved nine Erdős problems](https://the-decoder.com/google-deepminds-alphaproof-nexus-solves-decades-old-math-problems-for-a-few-hundred-dollars/), though its approach relies on the formal proof language Lean, which is less impressive from an LLM purist's perspective. Then again, [Claude Code is an agentic harness, not a pure LLM either](https://the-decoder.com/frontier-radar-2-why-ai-productivity-gets-lost-between-benchmarks-and-the-balance-sheet/).

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[Douglas via X](https://x.com/_sholtodouglas/status/2059303540150137244)|

[Levent via X](https://x.com/__alpoge__/status/2059298565093196012)
