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Examples in math (LaTeX) notation

<math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math>

[math]\displaystyle{ N \supset \mathbb P = \{ p_n \mid n \in N \} }[/math]

<math>\sideset{_1^2}{_3^4}\prod_a^b</math>

[math]\displaystyle{ \sideset{_1^2}{_3^4}\prod_a^b }[/math]

<math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math>

[math]\displaystyle{ \iiiint\limits_{F} \, dx\,dy\,dz\,dt }[/math]

<math>f(n) =
\begin{cases}
  n/2, & \mbox{if }n\mbox{ is even} \\
  3n+1, & \mbox{if }n\mbox{ is odd}
\end{cases}</math>

[math]\displaystyle{ f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} }[/math]

<math>\sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty</math>

[math]\displaystyle{ \sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty }[/math]

<math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math>

[math]\displaystyle{ \pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498 }[/math]

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Example of prime sequence and reservation

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