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DLMF:27.12.E2 - MaRDI portal

DLMF:27.12.E2 (Q8779)

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DLMF:27.12.E2
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    Statements

    DLMF defining formula
    p n > n ⁢ ln ⁡ n , subscript 𝑝 𝑛 𝑛 𝑛 {\displaystyle{\displaystyle p_{n}>n\ln n,}}
    0 references
    constraint
    n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\dots}}
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    Symbols used
    principal branch of logarithm function
    DLMF defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2aadec
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    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1adec
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    prime numbers
    DLMF defining formula
    p , p 1 , … 𝑝 subscript 𝑝 1 … {\displaystyle{\displaystyle p,p_{1},\ldots}}
    xml-id
    C27.S1.XMD5.m1adec
    0 references

    Identifiers

     
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