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Fungrim entry: 69fd4b

π ⁣(2x)π(x)1\pi\!\left(2 x\right) - \pi(x) \ge 1
Assumptions:xRandx1x \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))))

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2019-10-05 13:11:19.856591 UTC