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{{Languages}}
 
{{Languages}}
−
<div style="font-size:150%;">Here is a Wiki for primes and related topics, still under <span style="color:red;">construction</span>.</div><br>
+
<div style="position:relative; height:500px; width:900px; margin-left:10%; display: block; margin-left: auto; margin-right: auto">
 +
  <div style="position:absolute; width:480px; left:19%">https://upload.wikimedia.org/wikipedia/commons/thumb/2/26/Blank_globe.svg/480px-Blank_globe.svg.png</div>
 +
  <div style="position:absolute; width:150px; top:3%; left:12%; font-size:150%">'''[[Project]]'''</div>
 +
  <div style="position:absolute; width:150px; top:3%; right:12%; font-size:150%">'''[[Help:Contents|Help]]'''</div>
 +
  <div style="position:absolute; width:150px; top:22%; left:7%; font-size:150%">'''[[Person]]'''</div>
 +
  <div style="position:absolute; width:150px; top:22%; right:7%; font-size:150%">'''[[Mathematics]]'''</div>
 +
  <div style="position:absolute; width:150px; top:47%; left:3%; font-size:150%">'''[[Prime]]'''</div>
 +
  <div style="position:absolute; width:150px; top:47%; right:3%; font-size:150%">'''[[GIMPS]]'''</div>
 +
  <div style="position:absolute; width:150px; top:70%; left:7%; font-size:150%">'''[[Software]]'''</div>
 +
  <div style="position:absolute; width:150px; top:70%; right:7%; font-size:150%">'''[https://www.mersenneforum.org/index.php Forum]'''</div>
 +
  <div style="position:absolute; width:150px; top:90%; left:12%; font-size:150%">'''[[Hardware]]'''</div>
 +
  <div style="position:absolute; width:150px; top:90%; right:12%; font-size:150%">'''[[Help:Category Tree|Categories]]'''</div>
 +
  <div style="position:absolute; width:350px; top:27%; left:26%; font-size:300%; cursor:default; text-align:center;">'''{{C|red|World record}}'''<br>{{Greatest Mersenne Prime|pure}}<br>'''{{C|red|is prime!}}'''</div>
 +
  <div style="position:absolute; width:100px; top:20%; left:30%; font-size:150%; cursor:default">'''HP49'''</div>
 +
  <div style="position:absolute; width:100px; top:20%; right:30%; font-size:150%; cursor:default">'''ALQ'''</div>
 +
  <div style="position:absolute; width:100px; top:15%; left:45%; font-size:150%; cursor:default">'''GMP'''</div>
 +
  <div style="position:absolute; width:100px; top:65%; left:30%; font-size:150%; cursor:default">'''ECM'''</div>
 +
  <div style="position:absolute; width:100px; top:65%; right:30%; font-size:150%; cursor:default">'''LLR'''</div>
 +
  <div style="position:absolute; width:100px; top:75%; right:45%; font-size:150%; cursor:default">'''PRP'''</div>
 +
</div>
  
−
{{Box|hide=true|title=Examples in math (LaTeX) notation|content=
+
<div style="width:100%; border:1px solid black; border-radius:5px; padding:2px 5px 2px 5px; background-color:SkyBlue;"><div style="text-align:center;">{{SITENAME}} made up of '''{{Num|{{formatnum:{{NUMBEROFPAGES}}|R}}}} pages''' with '''{{Num|{{formatnum:{{NUMBEROFARTICLES}}|R}}}} [[Special:AllPages|articles]]''' and '''{{Num|{{formatnum:{{NUMBEROFFILES}}|R}}}} [[Special:MediaStatistics|files]]''' done by '''{{#expr:{{NUMBEROFUSERS}}+{{NUMBEROFADMINS}}}} [[Special:ListUsers|users]]''' in '''{{Num|{{formatnum:{{NUMBEROFEDITS}}|R}}}} edits'''.</div>
−
<pre><math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math></pre>
 
−
:<math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math>
 
−
 
 
−
<pre><math>\sideset{_1^2}{_3^4}\prod_a^b</math></pre>
 
−
:<math>\sideset{_1^2}{_3^4}\prod_a^b</math>
 
−
 
 
−
<pre><math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math></pre>
 
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:<math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math>
 
−
 
 
−
<pre><math>f(n) =
 
−
\begin{cases}
 
−
  n/2, & \mbox{if }n\mbox{ is even} \\
 
−
  3n+1, & \mbox{if }n\mbox{ is odd}
 
−
\end{cases}</math></pre>
 
−
:<math>f(n) =
 
−
\begin{cases}
 
−
  n/2,  & \mbox{if }n\mbox{ is even} \\
 
−
  3n+1, & \mbox{if }n\mbox{ is odd}
 
−
\end{cases}</math>
 
−
 
 
−
<pre><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></pre>
 
−
:<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>
 
−
 
 
−
<pre><math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math></pre>
 
−
:<math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math>
 
−
}}
 
−
 
 
−
{{Box|hide=true|title=Example of page categorizations|content=<categorytree mode=categories depth="5" showcount="on">!TopLevel</categorytree>}}
 
−
 
 
−
{{Box|hide=true|title=Example of prime sequence and reservation|content=[[Williams primes base 5]]}}
 
−
 
 
−
{{Box|hide=true|title=Configuration tests: external links open in new browser tab/window|content=
 
−
*[https://www.rieselprime.de/default.htm Riesel and Proth Prime Databse RPPDb]
 
−
*[https://www.mersenneforum.org/index.php MersenneForum.org]
 
−
*[http://factordb.com/ FactorDB]
 
−
}}
 
−
 
 
−
{{Box|hide=true|title=Examples of template usage and data table generating|content=
 
−
The <b>[[:Category:Carol-Kynea_primes|category]]</b> for Carol/Kynea primes holds 3 example pages for some bases (2, 6 and 10).
 
−
 
 
−
These pages hold their data in the template <b>[[:Template:CarolKyneaBase|CarolKyneaBase]]</b> using named parameters.
 
−
 
 
−
The parameters can be used to create automatically a <b>[[Carol-Kynea_table|table]]</b> of those pages.
 
−
 
 
−
}}
 
−
 
 
−
{{Box|hide=true|title=Examples for including PDF documents|content=
 
−
<pdf width="320" height="480">File:First PDF.pdf</pdf>
 
−
 
 
−
*Show document starting at page 3 and different sizings:
 
−
<pdf page="3" width="500" height="800">File:First PDF.pdf</pdf>
 
−
}}
 
−
 
 
−
{{Box|hide=true|title=Example for fetching data from RieselPrime database|content=
 
−
The data are collected from the internal SQL database by [https://www.mediawiki.org/wiki/Extension:External_Data 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.
 
−
{{#get_db_data:db=RPPDB
 
−
|from=RieselPrime
 
−
|where=rieselk_id=4
 
−
|order by=n ASC
 
−
|data=nval=n,rem=comment,T5000=utm
 
−
}}
 
−
Mersenne primes <math>2^n-1</math>, prime for ''n'':<br/>
 
−
:{{#vardefine:liste|{{#for_external_table:<nowiki/>{{{nval}}},}}}}<!--
 
−
-->{{#vardefine:T5s|{{#for_external_table:<nowiki/>{{{T5000}}},}}}}<!--
 
−
-->{{#vardefine:rems|{{#for_external_table:<nowiki/>{{{rem}}},}}}}<!--
 
−
-->{{#loop:idx|0|48|{{#vardefine:nr|{{#explode:{{#var:liste}}|,|{{#var:idx}}}}}}<!--
 
−
-->{{#vardefine:T5id|{{#explode:{{#var:T5s}}|,|{{#var:idx}}}}}}<!--
 
−
-->{{#vardefine:r|{{#explode:{{#var:rems}}|,|{{#var:idx}}}}}}<!--
 
−
-->{{#if:{{#var:T5id}}|{{T5000|{{#var:T5id}}|{{#var:nr}}}}|{{#var:nr}}}}<!--
 
−
-->{{#if:{{#var:r}}|<span style="color:red;" title="{{#var:r}}">'''*'''</span>}},<nowiki> </nowiki><!--
 
−
-->}}
 
−
 
 
−
}}
 
−
 
 
−
{{Box|hide=true|title=Examples for showing images of external pages|content=
 
−
Images from external sources have to be put as full link on a page.
 
−
==Images from Commons Wikimedia==
 
−
{{{!}}
 
−
{{!}} https://upload.wikimedia.org/wikipedia/commons/3/30/MarinMersenne.jpg
 
−
{{!}}-
 
−
{{!}} [https://commons.wikimedia.org/wiki/Category:Marin_Mersenne Marin Mersenne]
 
−
{{!}}}
 
−
 
 
−
{{{!}}
 
−
{{!}} https://upload.wikimedia.org/wikipedia/commons/4/49/GIMPS_logo.png
 
−
{{!}}-
 
−
{{!}} [https://commons.wikimedia.org/wiki/File:GIMPS_logo.png GIMPS logo]
 
−
{{!}}}
 
−
 
 
−
==Image from Wikipedia==
 
−
Images can only be diplayed in available sizes, no resize possible.
 
−
{{{!}}
 
−
{{!}} https://upload.wikimedia.org/wikipedia/commons/3/34/Marin_mersenne.jpg
 
−
{{!}}-
 
−
{{!}} [https://commons.wikimedia.org/wiki/File:Marin_mersenne.jpg Image from Wikpedia]
 
−
{{!}}}
 
−
}}
 
−
 
 
−
{{Box|hide=false|title=Example for SVG support|content=
 
−
Test file, original size 580x400 pixel:
 
−
[[File:Test.svg]]
 
−
 
 
−
Test file,size 80 pixel in width:
 
−
[[File:Test.svg|80px]]
 
−
 
 
−
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]]
 
−
}}
 
−
 
 
−
{{Box|hide=false|title=Examples for graphs extension|content=
 
−
Using template [[:Template:PieChart|PieChart]]:
 
−
{{PieChart|legend=Fruits|radius=125|values= [
 
−
      {"x": "Peaches","y": 100},
 
−
      {"x": "Plums","y": 32},
 
−
      {"x": "Blueberries","y": 80},
 
−
      {"x": "Strawberries","y": 46},
 
−
      {"x": "Bananas","y": 41}
 
−
    ]
 
−
}}
 
−
{{PieChart|legend=Fruits|radius=125|rangeliteral= ["red", "green","red","green","red","green","red","green","red","green"] |values= [
 
−
      {"x": "perziken","y": 10},
 
−
      {"x": "pruimen","y": 10},
 
−
      {"x": "bessen","y": 10},
 
−
      {"x": "aardbeien","y": 10},
 
−
      {"x": "bananen","y": 10},
 
−
      {"x": "peach","y": 10},
 
−
      {"x": "plum","y": 10},
 
−
      {"x": "blueberries","y": 10},
 
−
      {"x": "strawberries","y": 10},
 
−
      {"x": "bananas","y": 10}
 
−
    ]
 
−
}}
 
−
 
 
−
Using <nowiki><graph></nowiki>-tag directly:
 
−
<graph>{
 
−
  "version": 2,
 
−
  "height": 160,
 
−
  "width": 160,
 
−
  "legends": [{"title": "Fruits","fill": "color"}],
 
−
  "padding": "auto",
 
−
  "data": [
 
−
    {
 
−
      "name": "table",
 
−
      "values": [
 
−
        {"x": "peach","y": 100,"z": 2},
 
−
        {"x": "plums","y": 32,"z": 4},
 
−
        {"x": "bluebe","y": 180,"z": 3},
 
−
        {"x": "strawb","y": 46,"z": 7},
 
−
        {"x": "banan","y": 21,"z": 5}
 
−
      ]
 
−
    }
 
−
  ],
 
−
  "scales": [
 
−
    {
 
−
      "name": "color",
 
−
      "range": "category20",
 
−
      "domain": {"data": "table","field": "x"},
 
−
      "type": "ordinal"
 
−
    }
 
−
  ],
 
−
  "marks": [
 
−
    {
 
−
      "type": "arc",
 
−
      "from": {
 
−
        "data": "table",
 
−
        "transform": [{"field": "y","type": "pie"}]
 
−
      },
 
−
      "properties": {
 
−
        "enter": {
 
−
          "innerRadius": {"value": 100},
 
−
          "stroke": {"value": "white"},
 
−
          "startAngle": {"field": "layout_start"},
 
−
          "outerRadius": {"value": 150},
 
−
          "endAngle": {"field": "layout_end"},
 
−
          "fill": {"field": "x","scale": "color"}
 
−
        }
 
−
      }
 
−
    },
 
−
    {
 
−
      "type": "arc",
 
−
      "from": {
 
−
        "data": "table",
 
−
        "transform": [{"field": "z","type": "pie"}]
 
−
      },
 
−
      "properties": {
 
−
        "enter": {
 
−
          "innerRadius": {"value": 40},
 
−
          "stroke": {"value": "white"},
 
−
          "startAngle": {"field": "layout_start"},
 
−
          "outerRadius": {"value": 90},
 
−
          "endAngle": {"field": "layout_end"},
 
−
          "fill": {"field": "x","scale": "color"}
 
−
        }
 
−
      }
 
−
    }
 
−
  ]
 
−
}</graph>
 
−
 
 
−
<graph>{
 
−
  "version": 2,
 
−
  "width": 150,
 
−
  "height": 150,
 
−
  "legends": [{"title": "Fruits","fill": "color"}],
 
−
  "data": [
 
−
{
 
−
  "name": "table",
 
−
  "values": [
 
−
    {"year": "2010","category": "Berries","value": 10},
 
−
    {"year": "2010","category": "Plums","value": 12},
 
−
    {"year": "2010","category": "Oranges","value": 3},
 
−
    {"year": "2010","category": "Apples","value": 7},
 
−
    {"year": "2015","category": "Berries","value": 8},
 
−
    {"year": "2015","category": "Plums","value": 4},
 
−
    {"year": "2015","category": "Oranges","value": 5},
 
−
    {"year": "2015","category": "Apples","value": 9}
 
−
  ]
 
−
}
 
−
  ],
 
−
  "scales": [
 
−
{
 
−
  "name": "radius",
 
−
  "type": "ordinal",
 
−
  "domain": {"data": "table","field": "year"},
 
−
  "range": "height"
 
−
},
 
−
{
 
−
  "name": "color",
 
−
  "range": "category20",
 
−
  "domain": {"data": "table","field": "category"},
 
−
  "type": "ordinal"
 
−
}
 
−
  ],
 
−
  "marks": [
 
−
{
 
−
  "type": "group",
 
−
  "from": {
 
−
    "data": "table",
 
−
    "transform": [{"type": "facet","groupby": ["year"]}]
 
−
  },
 
−
  "marks": [
 
−
    {
 
−
      "name": "stacked pie",
 
−
      "type": "arc",
 
−
      "from": {"transform": [{"field": "value","type": "pie"}]},
 
−
      "properties": {
 
−
        "enter": {
 
−
          "innerRadius": {
 
−
            "scale": "radius",
 
−
            "field": "year",
 
−
            "offset": 25
 
−
          },
 
−
          "stroke": {"value": "white"},
 
−
          "startAngle": {"field": "layout_start"},
 
−
          "outerRadius": {
 
−
            "scale": "radius",
 
−
            "field": "year",
 
−
            "offset": 75
 
−
          },
 
−
          "endAngle": {"field": "layout_end"},
 
−
          "fill": {"field": "category","scale": "color"}
 
−
        }
 
−
      }
 
−
    },
 
−
    {
 
−
      "type": "text",
 
−
      "properties": {
 
−
        "enter": {
 
−
          "radius": {
 
−
            "scale": "radius",
 
−
            "field": "year",
 
−
            "offset": 30
 
−
          },
 
−
          "theta": {"value":1.2},
 
−
          "x": 100,
 
−
          "y": 100,
 
−
          "text": {"field": "year"},
 
−
          "fill": {"value": "#eec"},
 
−
          "fontSize": {"value": 18}
 
−
        }
 
−
      }
 
−
    }
 
−
  ]
 
−
}
 
−
  ]
 
−
}</graph>
 
−
 
 
−
<graph>
 
−
{
 
−
  "version": 2, "width": 400, "height": 200,
 
−
  "padding": {"top": 10, "left": 30, "bottom": 30, "right": 10},
 
−
  "data": [
 
−
    {
 
−
      "name": "table",
 
−
      "values": [
 
−
        {"x": 1,  "y": 28}, {"x": 2,  "y": 55},
 
−
        {"x": 3,  "y": 43}, {"x": 4,  "y": 91},
 
−
        {"x": 5,  "y": 81}, {"x": 6,  "y": 53},
 
−
        {"x": 7,  "y": 19}, {"x": 8,  "y": 87},
 
−
        {"x": 9,  "y": 52}, {"x": 10, "y": 48},
 
−
        {"x": 11, "y": 24}, {"x": 12, "y": 49},
 
−
        {"x": 13, "y": 87}, {"x": 14, "y": 66},
 
−
        {"x": 15, "y": 17}, {"x": 16, "y": 27},
 
−
        {"x": 17, "y": 68}, {"x": 18, "y": 16},
 
−
        {"x": 19, "y": 49}, {"x": 20, "y": 15}
 
−
      ]
 
−
    }
 
−
  ],
 
−
  "scales": [
 
−
    {
 
−
      "name": "x",
 
−
      "type": "ordinal",
 
−
      "range": "width",
 
−
      "domain": {"data": "table", "field": "x"}
 
−
    },
 
−
    {
 
−
      "name": "y",
 
−
      "range": "height",
 
−
      "nice": true,
 
−
      "domain": {"data": "table", "field": "y"}
 
−
    }
 
−
  ],
 
−
  "axes": [
 
−
    {"type": "x", "scale": "x"},
 
−
    {"type": "y", "scale": "y"}
 
−
  ],
 
−
  "marks": [
 
−
    {
 
−
      "type": "rect",
 
−
      "from": {"data": "table"},
 
−
      "properties": {
 
−
        "enter": {
 
−
          "x": {"scale": "x", "field": "x"},
 
−
          "width": {"scale": "x", "band": true, "offset": -1},
 
−
          "y": {"scale": "y", "field": "y"},
 
−
          "y2": {"scale": "y", "value": 0}
 
−
        },
 
−
        "update": {
 
−
          "fill": {"value": "steelblue"}
 
−
        },
 
−
        "hover": {
 
−
          "fill": {"value": "red"}
 
−
        }
 
−
      }
 
−
    }
 
−
  ]
 
−
}</graph>
 
−
 
 
−
 
 
−
Some other demo graphs are shown [https://www.mediawiki.org/wiki/Extension:Graph/Demo here].
 
−
}}
 

Latest revision as of 05:53, 18 October 2024

Language: English  • Deutsch
480px-Blank_globe.svg.png
World record
2136,279,841-1
is prime!
HP49
ALQ
GMP
ECM
LLR
PRP
Prime-Wiki made up of 12,480 pages with 10,822 articles and 104 files done by 46 users in 34,566 edits.
Retrieved from "https://www.rieselprime.de/z/index.php?title=Main_Page&oldid=35649"