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Source labels openChecked July 26, 2026

Erdős ProblemsNumber theory

Erdős Problem 889: V1 Eq 1 Finite

Does v1(n)=1v_1(n) = 1 have finite solutions?

Mathematical statement

Does v1(n)=1v_1(n) = 1 have finite solutions?

[ErSe67] Erdős, P. and Selfridge, J. L., Some problems on the prime factors of consecutive integers. Illinois J. Math. (1967), 428--430.

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_889.variants.v1_eq_1_finite

Canonical source
Complete statement target, proof intentionally absentLean 4
theorem erdos_889.variants.v1_eq_1_finite :    answer(sorry)  {n | v_l 1 n = 1}.Finite := 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