All open problems
Source labels openChecked July 26, 2026

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Open questions on irrationality of numbers

Are ee and π\pi algebraically independent?

Mathematical statement

Are ee and π\pi algebraically independent?

Statement source: Wikipedia statement material

Statement terms: CC-BY-SA-4.0

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Statement artifacts, not proofs

These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.

Pinned Lean formulation 1

algebraicIndependent_e_pi

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem algebraicIndependent_e_pi :    answer(sorry)  AlgebraicIndependent  ![e, π] := by  sorry
Statement source
Formal Conjectures
Lean version
v4.27.0
Placeholder
Present; no proof artifact
Source evidence
Pinned source index
Fidelity review
Community formulation

References