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Fungrim entry: 8c52de

pn>n(log ⁣(nlog ⁣(n))1)p_{n} > n \left(\log\!\left(n \log\!\left(n\right)\right) - 1\right)
Assumptions:nZ2n \in \mathbb{Z}_{\ge 2}
TeX:
p_{n} > n \left(\log\!\left(n \log\!\left(n\right)\right) - 1\right)

n \in \mathbb{Z}_{\ge 2}
Definitions:
Fungrim symbol Notation Short description
PrimeNumberpnp_{n} nth prime number
Loglog ⁣(z)\log\!\left(z\right) Natural logarithm
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("8c52de"),
    Formula(Greater(PrimeNumber(n), Mul(n, Sub(Log(Mul(n, Log(n))), 1)))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(2))))

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2019-08-17 11:32:46.829430 UTC