DLMF:27.12.E3 (Q8087)

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Language	Label	Description	Also known as
English	DLMF:27.12.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\pi\left(x\right)=\left\lfloor x\right\rfloor-1-% \sum_{p_{j}\leq\sqrt{x}}\left\lfloor\frac{x}{p_{j}}\right\rfloor+\sum_{r\geq 2% }(-1)^{r}\*\sum_{p_{j_{1}}<p_{j_{2}}<\cdots<p_{j_{r}}\leq\sqrt{x}}\left\lfloor% \frac{x}{p_{j_{1}}p_{j_{2}}\cdots p_{j_{r}}}\right\rfloor,}}

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DLMF:27.12.E3

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{\displaystyle{\displaystyle x\geq 1}}

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Defining formula

{\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

introduction.Sx4.p1.t1.r17.m4adec

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number of primes not exceeding $$x$$

Defining formula

{\displaystyle{\displaystyle\pi\left(\NVar{x}\right)}}

C27.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle p,p_{1},\ldots}}

C27.S1.XMD5.m1bdec

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Defining formula

{\displaystyle{\displaystyle x}}

C27.S1.XMD6.m1dec

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