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Erdős problem 893

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Does the limit lim⁡n→∞f(2n)f(n)\lim_{n\to\infty} \frac{f(2n)}{f(n)} tend to infinity?

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The source's own material, retained exactly.

2 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

893.lean

Retained formal statement1 of 2

Does the limit lim⁡n→∞f(2n)f(n)\lim_{n\to\infty} \frac{f(2n)}{f(n)} tend to infinity?

(Other finite limits have been ruled out by [KoLu25], see below)

FormalConjectures/ErdosProblems/893.leanErdos893.erdos_8931 lineExact file
True ↔ Filter.Tendsto (fun n => ↑(Erdos893.f (2 * n)) / ↑(Erdos893.f n)) Filter.atTop Filter.atTop
OpenStatement only, no proof