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erdos_940

Specification

Let $r \ge 3$. Is it true that the set of integers which are the sum of at most $r$ $r$-powerful numbers has density $0$?

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Lean 4 Statement
theorem erdos_940 :
    answer(sorry) ↔ ∀ r ≥ 3,
      {n : ℕ | ∃ (S : Multiset ℕ), S.card ≤ r ∧ (∀ s ∈ S, r.Full s) ∧ n = S.sum}.HasDensity 0
ID: ErdosProblems__940__erdos_940
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