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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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No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

Retained declaration

FormalConjectures/ErdosProblems/456.lean

Formal Conjectures

FormalConjectures/ErdosProblems/456.leanErdos456.erdos_456.parts.i1 lineExact file
TrueFilter.Tendsto (fun N => ↑(Nat.count {n | Erdos456.m n < Erdos456.p n} N) / ↑N) Filter.atTop (nhds 1)
OpenStatement only, no proof

Reported activity

Work these sources record against this Problem. Source-reported attribution, not reviewed here.

  • AI collaborating with humans

    Erdős AI contributions wiki · 4 May, 2026

    Machine
    GPT-5.5 Pro
    People
    David Turturean
    Open the source record

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