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Revision as of 17:35, 31 December 2018

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Here is a Wiki for primes and related topics, still under construction.

Examples in math (LaTeX) notation

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

N \supset P = {p_{n} ∣ n \in N}

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

{}_{1}^{2}\prod_{3}^{4}_{a}^{b}

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

\underset{F}{⨌} d x d y d z d t

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

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

<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>

\sum_{i = 1}^{\infty} \frac{1}{p_{i}} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dots = \infty

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

π (1) = 0; π (10) = 4; π (100) = 25; π (1000) = 168; π (1000000) = 78498

Example of page categorizations

Example of prime sequence and reservation

Configuration tests: external links open in new browser tab/window

Examples of template usage and data table generating

Examples for including PDF documents

Example for fetching data from RieselPrime database

The data are collected from the internal SQL database by Extension:External Data:

table: RieselPrime
field: rieselk_id = 4 (-> "1" = Mersenne primes)
fields collected: n, comment, utm (prime index n, comment like "Woodall", utm: id of Top5000 page)

Functioning but still complicated: no parser/string functions allowed in "#for_external_table" statement, therefore using variables.

Mersenne primes $2^{n} - 1$ , prime for n:

Examples for showing images of external pages

Example for SVG support

Test file, original size 580x400 pixel:

Test file,size 80 pixel in width:

Clicking on the image will lead to the saved file.

Examples for graphs from CSV file

Display with parser function:

Display with image handler:

@@ Line 114: / Line 114: @@
 Clicking on the image will lead to the saved file.
+}}
+{{Box|hide=false|title=Examples for graphs from CSV file|content=
+Display with parser function:
+<chart legend_title="Mersenne primes" x_type="no" x_title="&nbsp;" x_unit="No." y_type="no" y_title="&nbsp;" y_unit="n value">Mersenne.csv</chart>
+Display with image handler:
+[[File:Mersenne.csv|legend_title=Mersenne primes,x_type=no,x_title=&nbsp;,x_unit=No.,y_type=no,y_title=&nbsp;,y_unit=n value]]
 }}