Where Deep Learning Meets Descartes

MIT’s "Eureka++" system combined:

Symbolic Engine: Automated theorem prover based on Lean 4

LLM Intuition: Fine-tuned CodeLlama-400B for conjecture reformulation

Graph Neural Network: Predicted fruitful proof pathways

Historic Achievement
Disproved the 1923 Carmichael Conjecture in number theory after 83 hours of compute - a problem that stumped human mathematicians for generations.