I Built an AI Research Engine and It Found a Perfect Power Law in Twin Primes

Short summary

Developer built Luka, an autonomous AI research engine, and discovered a previously unknown power law in the twin prime residual across 33 data points. The residual follows R(x) ≈ 6.6 × 10⁻³ · x⁰·⁸⁶ with R² > 0.9999, a pattern not in any standard reference. This demonstrates AI systems can autonomously discover new mathematical structures and falsify existing models.

• •Autonomous AI system discovered new power law in twin prime distribution
• •Empirical validation across 33 data points with R² > 0.9999 confidence
• •Demonstrates AI capability for autonomous scientific discovery beyond pattern matching

Generated with AI, which can make mistakes.