Fungrim home page

Fungrim entry: 69fd4b

π ⁣(2x)−π(x)≥1\pi\!\left(2 x\right) - \pi(x) \ge 1
Assumptions:x∈R  and⁡  x≥1x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; x \ge 1
TeX:
\pi\!\left(2 x\right) - \pi(x) \ge 1

x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; x \ge 1
Definitions:
Fungrim symbol Notation Short description
PrimePiπ(x)\pi(x) Prime counting function
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("69fd4b"),
    Formula(GreaterEqual(Sub(PrimePi(Mul(2, x)), PrimePi(x)), 1)),
    Variables(x),
    Assumptions(And(Element(x, RR), GreaterEqual(x, 1))))

Topics using this entry

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

2021-03-15 19:12:00.328586 UTC