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erdos_1108.powerful_numbers

Specification

Does the set $A = \left\{ \sum_{n\in S}n! : S\subset \mathbb{N}\text{ finite}\right\}$ of all finite sums of distinct factorials contain only finitely many powerful numbers?

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Lean 4 Statement 
theorem erdos_1108.powerful_numbers :
     answer(sorry) ↔ {a ∈ FactorialSums | IsPowerful a}.Finite
ID: ErdosProblems__1108__erdos_1108.powerful_numbers
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