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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>
- [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]
Example of page categorizations
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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 3 example pages for some bases (2, 6 and 10).
These pages hold their data in the template CarolKyneaBase 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 Topp5000 page)
Functioning but still complicated: no parser/string functions allowed in "#for_external_table" statement, therefore using variables.
Mersenne primes [math]\displaystyle{ 2^n-1 }[/math], 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,
