All open problems
Source labels openChecked July 26, 2026

WikipediaNumber theory

Open questions regarding the existence of Euler bricks

Is there an Euler brick in nn-dimensional space for any n>3n > 3?

Mathematical statement

Is there an Euler brick in nn-dimensional space for any n>3n > 3?

Statement source: Wikipedia statement material

Statement terms: CC-BY-SA-4.0

Attributed source material. Reuse must follow the linked attribution and share-alike terms.

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

n_dim_euler_brick_existence

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem n_dim_euler_brick_existence :answer(sorry)   n > 3,  sides : Fin n  +, IsEulerHyperBrick n sides := 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