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Fungrim entry: 6f3cf7

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

n \in \mathbb{Z}_{\ge 6}
Definitions:
Fungrim symbol Notation Short description
PrimeNumberpnp_{n} nth prime number
Loglog⁡(z)\log(z) Natural logarithm
ZZGreaterEqualZ≥n\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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2021-03-15 19:12:00.328586 UTC