# Examples

Some examples and tests for the Wiki-extensions.

Examples in math (LaTeX) notation
$N \supset \mathbb P = \{ p_n \mid n \in N \}$
$N \supset \mathbb P = \{ p_n \mid n \in N \}$
$\sideset{_1^2}{_3^4}\prod_a^b$
$\sideset{_1^2}{_3^4}\prod_a^b$
$\iiiint\limits_{F} \, dx\,dy\,dz\,dt$
$\iiiint\limits_{F} \, dx\,dy\,dz\,dt$
$f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}$
$f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases}$
$\sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty$
$\sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty$
$\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498$
$\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498$
Example of page categorizations
!TopLevel(18 C)
User de(1 C, 1 P)
User de-N(1 P)
no subcategories
User en(1 C, 5 P)
User en-3(1 P)
no subcategories
User fr(1 C, 2 P)
User fr-1(2 P)
no subcategories
User ru(1 C, 2 P)
User ru-N(2 P)
no subcategories
Files(2 C)
Images(10 F)
no subcategories
PDF(2 F)
no subcategories
Frequently asked questions(4 C, 3 P)
Gerneral FAQ(1 P)
no subcategories
Hardware FAQ(1 P)
no subcategories
Math FAQ(empty)
no subcategories
Project FAQ(1 P)
no subcategories
Hardware(21 P)
no subcategories
Help(15 P)
no subcategories
Math(2 C, 74 P)
Factorization(1 C, 14 P)
Factoring program(7 P)
no subcategories
Primality tests(1 C, 11 P)
no subcategories
Number(2 C, 18 P)
Aliquot sequence(2 P)
no subcategories
Prime(10 C, 10 P)
Carol-Kynea prime(4 C, 384 P)
Carol-Kynea power-of(22 P)
no subcategories
no subcategories
no subcategories
no subcategories
Gen. Cullen prime(2 C, 9 P)
no subcategories
no subcategories
Gen. Woodall prime(2 C, 12 P)
no subcategories
no subcategories
Leyland prime(2 C, 1 P)
Leyland prime M(2 C, 1 P)
Leyland prime M PRP(empty)
Leyland prime P(2 C, 1,483 P)
Leyland prime P proven(291 P)
Leyland prime P PRP(1,190 P)
Mersenne prime(53 P)
no subcategories
no subcategories
Proth prime(4 C, 24 P)
Proth k=15k value(2 P)
no subcategories
Proth k=2145k value(empty)
no subcategories
Proth k=2805k value(empty)
no subcategories
Proth k=Low weight(7 P)
no subcategories
Riesel prime(5 C, 69 P)
Riesel k=15k value(5 P)
no subcategories
no subcategories
no subcategories
Riesel k=Low weight(17 P)
no subcategories
Riesel k=Riesel(1 P)
no subcategories
Twin prime(2 P)
no subcategories
Williams prime(4 C, 1 P)
Williams prime MM(1 C, 172 P)
Williams prime MP(1 C, 146 P)
Williams prime PM(1 C, 90 P)
Williams prime PP(1 C, 83 P)
Organizations(1 C, 3 P)
Universities(4 P)
no subcategories
Person(49 P)
no subcategories
Project(5 C, 2 P)
Cunningham project(5 P)
no subcategories
no subcategories
GIMPS FAQ(7 P)
no subcategories
Home Prime Search(3 P)
no subcategories
Seventeen or Bust(6 P)
no subcategories
Reserved(1 C, 63 P)
Multi Reservation(1 P)
no subcategories
Shortcut(19 P)
no subcategories
Software(5 C, 39 P)
Code snippets(3 P)
no subcategories
Factoring program(7 P)
no subcategories
no subcategories
Sieving program(5 P)
no subcategories
Tools(empty)
no subcategories
Spelling(2 P)
no subcategories
System(4 C, 14 P)
Hidden categories(1 C)
Last updated(61 P)
no subcategories
no subcategories
Pages with graphs(1 P)
no subcategories
Stub(31 P)
no subcategories
Teams(1 P)
no subcategories
Templates(4 C, 41 P)
Infoboxes(5 P)
no subcategories
Multilanguage(11 P)
no subcategories
Navboxes(7 P)
no subcategories
Prime collections(24 P)
no subcategories
Websites(10 P)
no subcategories
Example of prime sequence and reservation
Configuration tests: external links open in new browser tab/window
Examples of template usage and data table generating

The category for Carol/Kynea primes holds example pages for some bases.

These pages hold their data in the template Carol-Kynea prime using named parameters.

The parameters can be used to create automatically a table of those pages.
Examples for including PDF documents

• Show document starting at page 3 and different sizings:
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:

2*, 3, 5*, 7*, 13, 17, 19*, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609, 57885161,
Examples for showing images of external pages

Images from external sources have to be put as full link on a page.

## Image from Wikipedia

Images can only be diplayed in available sizes, no resize possible.

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:

Examples for graphs extension

Using template PieChart:

Using <graph>-tag directly:

Some other demo graphs are shown here.
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