New paper defines how 'interesting' a math theorem is: statement length over proof length

MarioKrenn6240 · x · 2026-11-11

A new paper formally quantifies how interesting a mathematical result is as the ratio of statement length to proof length. Applied to 113,240 theorems in MATHLIB, the metric ranks basic algebraic identities at the bottom, analysis in the middle (huge definitional prerequisites), and famously hard-to-prove results like Fermat's Last Theorem for n=3 at the top. Mathematician Thomas Bloom asks for counterexamples.

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