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Erdős problem 403

Does the equation 2m=a1!+⋯+ak!2^m=a_1!+\cdots+a_k! with a1<a2<⋯<aka_1<a_2<\cdots <a_k have only finitely many solutions?

No current result

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

Retained declaration

FormalConjectures/ErdosProblems/403.lean

Formal Conjectures

FormalConjectures/ErdosProblems/403.leanErdos403.erdos_4031 lineExact file
True ↔ {p | (∀ a ∈ p.2, 0 < a) ∧ 2 ^ p.1 = ∑ a ∈ p.2, a.factorial}.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:403

Reported activity

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

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