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Fungrim entry: d1ec2d

pn+1<2pnp_{n + 1} \lt 2 p_{n}
Assumptions:n∈Z≥1n \in \mathbb{Z}_{\ge 1}
TeX:
p_{n + 1} \lt 2 p_{n}

n \in \mathbb{Z}_{\ge 1}
Definitions:
Fungrim symbol Notation Short description
PrimeNumberpnp_{n} nth prime number
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("d1ec2d"),
    Formula(Less(PrimeNumber(Add(n, 1)), Mul(2, PrimeNumber(n)))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(1))))

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

2019-06-18 07:49:59.356594 UTC