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Fungrim entry: 6f3cf7

pn<nlog ⁣(nlog ⁣(n))p_{n} < n \log\!\left(n \log\!\left(n\right)\right)
Assumptions:nZ6n \in \mathbb{Z}_{\ge 6}
TeX:
p_{n} < n \log\!\left(n \log\!\left(n\right)\right)

n \in \mathbb{Z}_{\ge 6}
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("6f3cf7"),
    Formula(Less(PrimeNumber(n), Mul(n, Log(Mul(n, Log(n)))))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(6))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-08-17 11:32:46.829430 UTC