All open problems
Source labels openChecked July 26, 2026
Euclid Numbers conjecture
It is not known whether there is an inifinite number of prime Euclid numbers.
Mathematical statement
It is not known whether there is an inifinite number of prime Euclid numbers.
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
infinite_prime_euclid_numbers
Complete statement target, proof intentionally absentLean 4
theorem infinite_prime_euclid_numbers : answer(sorry) ↔ {n | (Euclid n).Prime}.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