Erdős problem 456 · problems.science

Erdős [Er79e] writes it is 'easy to show' that for infinitely many $n$ we have $m_n < p_n$ .

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7 retained statements2415f78e850a

FormalConjectures/ErdosProblems/

456.lean

Retained formal statement1 of 7

Is it true that $m_n<p_n$ for almost all $n$ ?

FormalConjectures/ErdosProblems/456.leanErdos456.erdos_456.parts.i1 lineExact file

1True ↔ Filter.Tendsto (fun N => ↑(Nat.count {n | Erdos456.m n < Erdos456.p n} N) / ↑N) Filter.atTop (nhds 1)

OpenStatement only, no proof