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Fungrim entry: 5258c0

π ⁣(x)<1.25506xlog ⁣(x)\pi\!\left(x\right) < \frac{1.25506 x}{\log\!\left(x\right)}
Assumptions:xRandx>1x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, x > 1
TeX:
\pi\!\left(x\right) < \frac{1.25506 x}{\log\!\left(x\right)}

x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, x > 1
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("5258c0"),
    Formula(Less(PrimePi(x), Div(Mul(Decimal("1.25506"), x), Log(x)))),
    Variables(x),
    Assumptions(And(Element(x, RR), Greater(x, 1))))

Topics using this entry

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2019-08-17 11:32:46.829430 UTC