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Erdős problem 397

Are there only finitely many solutions to ∏i(2mimi)=∏j(2njnj) \prod_i \binom{2m_i}{m_i}=\prod_j \binom{2n_j}{n_j} with the mi,njm_i,n_j distinct?

No current result

No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

Retained declaration

FormalConjectures/ErdosProblems/397.lean

Formal Conjectures

FormalConjectures/ErdosProblems/397.leanErdos397.erdos_3971 lineExact file
False ↔ {(M, N) | Disjoint M N ∧ ∏ i ∈ M, i.centralBinom = ∏ j ∈ N, j.centralBinom}.Finite
SolvedProof has a holelean4external proof

The proof uses `sorry`: part of the argument is written but not proved. Lean accepts the file; it does not accept the theorem.

Proof manifests naming this Problem

  • Jayyhk Erdős Leanjayyhk:erdos:397
  • PLBY Lean proofsErdosProblems.Erdos397

Reported activity

Work these sources record against this Problem. Source-reported attribution, not reviewed here.

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