All open problems
Source labels openChecked July 26, 2026

Erdős ProblemsNumber theory

Erdős Problem 288: I2 Card Eq 1

This is still open even if I2=1|I_2| = 1.

Mathematical statement

This is still open even if I2=1|I_2| = 1.

Statement source: Erdős Problems 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

erdos_288.variants.i2_card_eq_1

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_288.variants.i2_card_eq_1 : answer(sorry)  Set.Finite { (I, n₂) : (+ × +) × + |    I.1  I.2   n : +, ∑ n₁  Set.Icc I.1 I.2, (n₁⁻¹ : ) + (n₂⁻¹ : ) = n } := 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