Class number problem for real quadratic fields
There are infinitely many real quadratic fields ℚ(√d) with class number one, where d > 1 is a squarefree integer.
Mathematical statement
There are infinitely many real quadratic fields ℚ(√d) with class number one,
where d > 1 is a squarefree integer.
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
class_number_problem
theorem class_number_problem : { d : ℤ | Squarefree d ∧ d > 1 ∧ IsClassNumberOne d }.Infinite := 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