All open problems
Source labels openChecked July 26, 2026

PapersNumber theory

Kurepa's conjecture: Prime

This statement can be reduced to the prime case only.

Mathematical statement

This statement can be reduced to the prime case only.

Statement source: Papers statement material

Statement terms: Source-specific

Source-specific terms. Therefore does not assert reuse rights beyond attributed display.

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

kurepa_conjecture.variants.prime

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem kurepa_conjecture.variants.prime (p : ) (h_p : 2 < p) :    p.Prime  (!p : ) % p  0 := 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