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erdos_893.variants.unbounded

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Kovač and Luca [KoLu25] (building on a heuristic independently found by Cambie (personal communication)) have shown that there is no finite limit, in that $\lim_{n\to\infty} \frac{f(2n)}{f(n)}$ is unbounded.

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Lean 4 Statement
theorem erdos_893.variants.unbounded :
   ¬ BddAbove (Set.range fun n : ℕ => (f (2 * n) : ℝ) / f n)
ID: ErdosProblems__893__erdos_893.variants.unbounded
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