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erdos_1061

Specification

How many (ordered) solutions are there to `σ(a) + σ(b) = σ(a + b)` with `a + b ≤ x`? Is it true that this number is asymptotic to `c * x` for some constant `c > 0`?

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Lean 4 Statement 
theorem erdos_1061 : answer(sorry) ↔ ∃ c : ℝ, 0 < c ∧ S ~[atTop] (fun x : ℝ ↦ c * x)
ID: ErdosProblems__1061__erdos_1061
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