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{{Languages}}
 
{{Languages}}
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<div style="font-size:150%;">Here is a Wiki for primes and related topics, still under <span style="color:red;">construction</span>.</div><br>
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<div style="position:relative; height:500px; width:900px; margin-left:10%; display: block; margin-left: auto; margin-right: auto">
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  <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>
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  <div style="position:absolute; width:150px; top:3%; left:12%; font-size:150%">'''[[Project]]'''</div>
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  <div style="position:absolute; width:150px; top:3%; right:12%; font-size:150%">'''[[Help:Contents|Help]]'''</div>
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  <div style="position:absolute; width:150px; top:22%; left:7%; font-size:150%">'''[[Person]]'''</div>
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  <div style="position:absolute; width:150px; top:22%; right:7%; font-size:150%">'''[[Math]]'''</div>
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  <div style="position:absolute; width:150px; top:47%; left:3%; font-size:150%">'''[[Prime]]'''</div>
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  <div style="position:absolute; width:150px; top:47%; right:3%; font-size:150%">'''[[GIMPS]]'''</div>
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  <div style="position:absolute; width:150px; top:70%; left:7%; font-size:150%">'''[[Software]]'''</div>
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  <div style="position:absolute; width:150px; top:70%; right:7%; font-size:150%">'''[https://www.mersenneforum.org/index.php Forum]'''</div>
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  <div style="position:absolute; width:150px; top:90%; left:12%; font-size:150%">'''[[Hardware]]'''</div>
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  <div style="position:absolute; width:150px; top:90%; right:12%; font-size:150%">'''[[Help:Category Tree|Categories]]'''</div>
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  <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>
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  <div style="position:absolute; width:100px; top:20%; left:30%; font-size:150%; cursor:default">'''HP49'''</div>
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  <div style="position:absolute; width:100px; top:20%; right:30%; font-size:150%; cursor:default">'''ALQ'''</div>
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  <div style="position:absolute; width:100px; top:15%; left:45%; font-size:150%; cursor:default">'''GMP'''</div>
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  <div style="position:absolute; width:100px; top:65%; left:30%; font-size:150%; cursor:default">'''ECM'''</div>
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  <div style="position:absolute; width:100px; top:65%; right:30%; font-size:150%; cursor:default">'''LLR'''</div>
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  <div style="position:absolute; width:100px; top:75%; right:45%; font-size:150%; cursor:default">'''PRP'''</div>
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</div>
  
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{{Box|hide=true|title=Examples in math (LaTeX) notation|content=
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<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>
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<pre><math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math></pre>
 
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:<math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math>
 
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<pre><math>\sideset{_1^2}{_3^4}\prod_a^b</math></pre>
 
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:<math>\sideset{_1^2}{_3^4}\prod_a^b</math>
 
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<pre><math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math></pre>
 
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:<math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math>
 
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<pre><math>f(n) =
 
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\begin{cases}
 
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  n/2, & \mbox{if }n\mbox{ is even} \\
 
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  3n+1, & \mbox{if }n\mbox{ is odd}
 
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\end{cases}</math></pre>
 
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:<math>f(n) =
 
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\begin{cases}
 
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  n/2,  & \mbox{if }n\mbox{ is even} \\
 
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  3n+1, & \mbox{if }n\mbox{ is odd}
 
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\end{cases}</math>
 
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<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>
 
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:<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>
 
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<pre><math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math></pre>
 
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:<math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math>
 
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}}
 
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{{Box|hide=true|title=Example of page categorizations|content=<categorytree mode=categories depth="5" showcount="on">!TopLevel</categorytree>}}
 
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{{Box|hide=true|title=Example of prime sequence and reservation|content=[[Williams primes base 5]]}}
 
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{{Box|hide=true|title=Configuration tests: external links open in new browser tab/window|content=
 
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*[https://www.rieselprime.de/default.htm Riesel and Proth Prime Databse RPPDb]
 
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*[https://www.mersenneforum.org/index.php MersenneForum.org]
 
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*[http://factordb.com/ FactorDB]
 
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}}
 
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{{Box|hide=true|title=Examples of template usage and data table generating|content=
 
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The <b>[[:Category:Carol-Kynea_primes|category]]</b> for Carol/Kynea primes holds 3 example pages for some bases (2, 6 and 10).
 
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These pages hold their data in the template <b>[[:Template:CarolKyneaBase|CarolKyneaBase]]</b> using named parameters.
 
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The parameters can be used to create automatically a <b>[[Carol-Kynea_table|table]]</b> of those pages.
 
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}}
 
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{{Box|hide=true|title=Examples for including PDF documents|content=
 
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<pdf width="320" height="480">File:First PDF.pdf</pdf>
 
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*Show document starting at page 3 and different sizings:
 
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<pdf page="3" width="500" height="800">File:First PDF.pdf</pdf>
 
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}}
 
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{{Box|hide=false|title=Example for fetching data from RieselPrime database|content=
 
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The data are collected from the internal SQL database by [https://www.mediawiki.org/wiki/Extension:External_Data Extension:External Data]:
 
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* table: RieselPrime
 
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* field: rieselk_id = 4 (-> "1" = Mersenne primes)
 
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* fields collected: n, comment, utm (prime index n, comment like "Woodall", utm: id of Topp5000 page)
 
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Functioning but still complicated: no parser/string functions allowed in "#for_external_table" statement, therefore using variables.
 
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{{#get_db_data:db=RPPDB
 
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|from=RieselPrime
 
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|where=rieselk_id=4
 
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|order by=n ASC
 
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|data=nval=n,rem=comment,T5000=utm
 
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}}
 
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Mersenne primes <math>2^n-1</math>, prime for ''n'':<br/>
 
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:{{#vardefine:liste|{{#for_external_table:<nowiki/>{{{nval}}},}}}}<!--
 
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-->{{#vardefine:T5s|{{#for_external_table:<nowiki/>{{{T5000}}},}}}}<!--
 
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-->{{#vardefine:rems|{{#for_external_table:<nowiki/>{{{rem}}},}}}}<!--
 
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-->{{#loop:idx|0|48|{{#vardefine:nr|{{#explode:{{#var:liste}}|,|{{#var:idx}}}}}}<!--
 
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-->{{#vardefine:T5id|{{#explode:{{#var:T5s}}|,|{{#var:idx}}}}}}<!--
 
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-->{{#vardefine:r|{{#explode:{{#var:rems}}|,|{{#var:idx}}}}}}<!--
 
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-->{{#if:{{#var:T5id}}|{{T5000|{{#var:T5id}}|{{#var:nr}}}}|{{#var:nr}}}}<!--
 
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-->{{#if:{{#var:r}}|<span style="color:red;" title="{{#var:r}}">'''*'''</span>}},<nowiki> </nowiki><!--
 
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-->}}
 
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}}
 

Revision as of 12:25, 23 July 2021

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 12,426 pages with 10,778 articles and 103 files done by 46 users in 32,940 edits.
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