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Fungrim entry: 69fd4b

π ⁣(2x)π ⁣(x)1\pi\!\left(2 x\right) - \pi\!\left(x\right) \ge 1
Assumptions:xRandx1x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, x \ge 1
TeX:
\pi\!\left(2 x\right) - \pi\!\left(x\right) \ge 1

x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, x \ge 1
Definitions:
Fungrim symbol Notation Short description
PrimePiπ ⁣(x)\pi\!\left(x\right) 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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2019-08-17 11:32:46.829430 UTC