Quantifying math interestingness with Lean: difficulty over description length predicts utility at ρ=0.756

RexDouglass · x · 2026-09-27

A Lean-based proposal defines an 'interestingness' metric for math propositions: proof difficulty divided by description length — easy to state, hard to prove. On mathlib the ranking is intuitive: trivial identities score low while Fermat's Last Theorem variants top the list. Strikingly, this metric predicts downstream utility with ρ = 0.756.

Related event: NYU Team Teaches LLMs to Judge Theorem Interestingness, Boosting Autonomous Math Discovery 4.3x(5 posts)→

Original post →

More from Research

Research channel →