Fungrim home page

Fungrim entry: d898b9

π ⁣(x)>xlog ⁣(x)\pi\!\left(x\right) > \frac{x}{\log\!\left(x\right)}
Assumptions:xRandx17x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, x \ge 17
TeX:
\pi\!\left(x\right) > \frac{x}{\log\!\left(x\right)}

x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, x \ge 17
Definitions:
Fungrim symbol Notation Short description
PrimePiπ ⁣(x)\pi\!\left(x\right) Prime counting function
Loglog ⁣(z)\log\!\left(z\right) Natural logarithm
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("d898b9"),
    Formula(Greater(PrimePi(x), Div(x, Log(x)))),
    Variables(x),
    Assumptions(And(Element(x, RR), GreaterEqual(x, 17))))

Topics using this entry

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