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Erdős problem 456

Erdős [Er79e] writes it is 'easy to show' that for infinitely many nn we have mn<pnm_n < p_n.

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7 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

456.lean

Retained formal statement6 of 7

Erdős [Er79e] writes it is 'easy to show' that mn/n→∞m_n/n \to \infty for almost all nn.

FormalConjectures/ErdosProblems/456.leanErdos456.erdos_456.variants.m_div_n3 linesExact file
∃ A,  Filter.Tendsto (fun N => ↑(Nat.count A N) / ↑N) Filter.atTop (nhds 1) ∧    Filter.Tendsto (fun n => ↑(Erdos456.m n) / ↑n) (Filter.atTop ⊓ Filter.principal A) Filter.atTop
SolvedStatement only, no proof