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Fungrim entry: d898b9

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

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2019-06-18 07:49:59.356594 UTC