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{{Languages}}
 
{{Languages}}
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__NOTOC__
 
<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="font-size:150%;">Here is a Wiki for primes and related topics, still under <span style="color:red;">construction</span>.</div><br>
  
{{Box|hide=true|title=Examples in math (LaTeX) notation|content=
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<div style="position:relative; height:500px; width:900px; margin-left:10%; text-align:center; vertical-align:middle">
<pre><math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math></pre>
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  <div style="position:absolute; width:480px; left:23%">https://upload.wikimedia.org/wikipedia/commons/thumb/2/26/Blank_globe.svg/480px-Blank_globe.svg.png</div>
:<math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math>
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  <div style="position:absolute; width:150px; top:3%; left:12%; font-size:150%">'''[[:Category:Projects|Projects]]'''</div>
 +
  <div style="position:absolute; width:150px; top:3%; right:12%; font-size:150%">'''[[:Category:Help|Help]]'''</div>
 +
  <div style="position:absolute; width:150px; top:22%; left:7%; font-size:150%">'''[[:Category:Persons|Persons]]'''</div>
 +
  <div style="position:absolute; width:150px; top:22%; right:7%; font-size:150%">'''[[:Category:Math|Math]]'''</div>
 +
  <div style="position:absolute; width:150px; top:47%; left:2%; font-size:150%">'''[[:Category:Primes|Primes]]'''</div>
 +
  <div style="position:absolute; width:150px; top:47%; right:2%; font-size:150%">'''[[GIMPS]]'''</div>
 +
  <div style="position:absolute; width:150px; top:70%; left:7%; font-size:150%">'''[[:Category:Software|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%">'''[[:Category:Hardware|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:220px; top:42%; left:37%; font-size:300%; cursor:default">'''2<sup>{{formatnum:82.589.933}}</sup>-1'''</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>
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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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{| style="width:100%; background:Gainsboro; margin:1.2em 0 6px 0; border:1px solid #ddd;"
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| This Wiki made up of '''{{NUMBEROFPAGES}} pages''' with '''{{NUMBEROFARTICLES}} articles''' and '''{{NUMBEROFFILES}} files''' done by '''{{#expr:{{NUMBEROFUSERS}}+{{NUMBEROFADMINS}}}} users''' in '''{{NUMBEROFEDITS}} edits'''.
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|}<!--
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{| id="mp-topbanner" style="width:100%; background:#f9f9f9; margin:1.2em 0 6px 0; border:1px solid #ddd;"
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| style="width:61%; color:#000;" |
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{| style="width:280px; border:none; background:none;"
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| style="width:280px; text-align:center; white-space:nowrap; color:#000;" |
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<div style="font-size: 250%; border:none; margin:0; padding:.1em; color:#000;">Welcome to the Prime Wiki,</div>
 +
<div style="top:+0.2em; font-size:95%;">the encyclopedia that registered users can edit.</div>
 +
<div id="articlecount" style="font-size:85%;">'''[[Special:Statistics|{{NUMBEROFARTICLES}}]]''' articles in English (mainly).</div>
 +
|}
 +
| style="width:13%; font-size:95%;" |
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* [[:Category:Math|Math]]
 +
* [[Hardware|Hardware]]
 +
* [[:Category:Software|Software]]
 +
| style="width:13%; font-size:95%;" |
 +
* [[Distributed Computing Projects|Projects]]
 +
* [[:Category:Persons|People]]
 +
* [[:Category:Organizations|Organizations]]
 +
| style="width:13%; font-size:95%;" |
 +
* [[:Category:Websites|Websites]]
 +
* [[FAQ|FAQ]]
 +
* [[Current events|News]]
 +
|}
  
<pre><math>\sideset{_1^2}{_3^4}\prod_a^b</math></pre>
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This wiki is for the [[Great Internet Mersenne Prime Search]] (GIMPS), a [[distributed computing project]] dedicated to finding [[Mersenne prime]]s and related prime finding projects.
:<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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The largest known prime to date is {{Greatest Mersenne Prime}} discovered by [[Patrick Laroche]] on 2018-12-07. See [[Mersenne News]].
:<math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math>
 
  
<pre><math>f(n) =
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== Categories ==
\begin{cases}
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Categories can be found [[:Category:!TopLevel|'''here''']].
  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>
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==Special Events==
:<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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* [[GIMPS20]]
  
<pre><math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math></pre>
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==Mathematics==
:<math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math>
+
* [[Frequently asked questions]]
}}
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* [[Glossary]]
 +
* [[Factorization|Factorization methods]]
 +
* [[Primality test|Primality tests]]
  
{{Box|hide=true|title=Example of page categorizations|content=<categorytree mode=categories depth="5" showcount="on">!TopLevel</categorytree>}}
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==Software==
 +
* [[GIMPS clients]] - includes the official GIMPS clients [[Prime95]]/MPrime
 +
* [[Primality testing program]]s
 +
* [[Factoring program]]s
 +
* [[GPU]] clients
 +
* [[:Category:Software|Various other software]]
  
{{Box|hide=true|title=Example of prime sequence and reservation|content=[[Williams primes base 5]]}}
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==Hardware==
 +
* [[Frequently asked questions]]
 +
* [[System Requirements and Compatible Hardware]]
  
{{Box|hide=true|title=Configuration tests: external links open in new browser tab/window|content=
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==Projects==
*[https://www.rieselprime.de/default.htm Riesel and Proth Prime Databse RPPDb]
+
{| border="1" cellpadding="5" cellspacing="0"
*[https://www.mersenneforum.org/index.php MersenneForum.org]
+
|-
*[http://factordb.com/ FactorDB]
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| colspan="3" align="center"|'''[[Great Internet Mersenne Prime Search|GIMPS]]'''
}}
+
|-
 +
| colspan="3" align="center"|'''GIMPS Related Projects'''
 +
|-
 +
| [[Lone Mersenne Hunters]] || [[100 Million Digit Prefactor Project]] || [[Operation Billion Digits]]
 +
|-
 +
| colspan="3" align="center"|'''Other Prime Searching Projects'''
 +
|-
 +
| [[12121 Search]] || [[27121 Search]] || [[PSearch]]
 +
|-
 +
| [[Riesel Sieve]] || [[Sierpinski/Riesel Base 5]] || [[Twin Prime Search]]
 +
|-
 +
| [[Riesel Prime Search]] || [[Prime Sierpinski Project]] || [[No Prime Left Behind]]
 +
|-
 +
| colspan="3" align="center"|'''Other Factoring Projects'''
 +
|-
 +
| [[Mersenneplustwo Factorizations]] || [[NFSNET]] || [[Home Primes Search]]
 +
|-
 +
| [[Aliquot Sequences Search]] (see [http://www.mersenneforum.org/forumdisplay.php?f=90 forum])|| [[ElevenSmooth]] || [[Cunningham Tables]]
 +
|-
 +
| [[Factoring Database]] || ||
 +
|-
 +
| colspan="3" align="center"|'''Defunct Projects'''
 +
|-
 +
| [[MasterPrime 2006]] || [[15k Search]] ||
 +
|}
  
{{Box|hide=true|title=Examples of template usage and data table generating|content=
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==Contributors==
The <b>[[:Category:Carol-Kynea_primes|category]]</b> for Carol/Kynea primes holds 3 example pages for some bases (2, 6 and 10).
+
Feel free to post your name here and eventually what you've done.
  
These pages hold their data in the template <b>[[:Template:CarolKyneaBase|CarolKyneaBase]]</b> using named parameters.
+
*[[User:OmbooHankvald|OmbooHankvald]] - Making guides, writing wiki, simplifying advanced stuff.
 +
*[[User:Numbers|Numbers]] - Real easy stuff
 +
*[[User:Prime Monster|Prime Monster]] - Easy stuff
 +
*[[User:T.Rex|T.Rex]] - Papin's test - Generalised Fermat Numbers - LLT Digraph
 +
*[[User:S80780|S80780]] - GIMPS client files + a little proofreading
 +
*[[User:Phil Moore|Phil Moore]] - proof of Lucas-Lehmer test
 +
*[[User:Fetofs|Fetofs]] - Proofreading, linking and easy stuff
 +
*[[User:Cheesehead|Richard B. Woods ("cheesehead")]] - Explana-, clarifica-, correc-, and sugges-tions.
 +
*[[User:Jinydu|Jin Du]]
 +
*[[User:Ixfd64|Ixfd64]] - general copyediting
 +
*[[User:Sutton Shin|Sutton Shin]] - random maintance work.
  
The parameters can be used to create automatically a <b>[[Carol-Kynea_table|table]]</b> of those pages.
+
==To all users!==
 +
Please remember to create an account and log in to edit pages. You can play around in the [[mersennewiki:Sandbox|Sandbox]]. Remember that your changes will not be saved until you request and receive an account <span class="plainlinks">[http://mersenneforum.org/showthread.php?t=7026 here]</span>.
  
}}
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Unfortunately, account creation by new users is now disabled due to excessive vandalism. However, anyone desiring editing status can <span class="plainlinks">[http://mersenneforum.org/showthread.php?t=7026 request an account]</span> on the GIMPS forum.-->
 
 
{{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]]
 
}}
 

Revision as of 20:18, 20 January 2019

Language: English  • Deutsch
Here is a Wiki for primes and related topics, still under construction.


480px-Blank_globe.svg.png
282.589.933-1
HP49
ALQ
GMP
ECM
LLR
PRP
This Wiki made up of 11,335 pages with 9,836 articles and 91 files done by 43 users in 27,717 edits.