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{{Languages}}
 
{{Languages}}
 +
__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=
+
<!--        BANNER ACROSS TOP OF PAGE        -->
−
<pre><math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math></pre>
+
{| id="mp-topbanner" style="width:100%; background:#f9f9f9; margin:1.2em 0 6px 0; border:1px solid #ddd;"
−
:<math>N \supset \mathbb P = \{ p_n \mid n \in N \}</math>
+
| style="width:61%; color:#000;" |
 +
<!--        "WELCOME TO THE PRIMEE WIKI" AND ARTICLE COUNT        -->
 +
{| style="width:280px; border:none; background:none;"
 +
| style="width:280px; text-align:center; white-space:nowrap; color:#000;" |
 +
<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>
  
−
<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>
+
<!--        PORTAL LIST ON RIGHT-HAND SIDE        -->
−
:<math>\iiiint\limits_{F} \, dx\,dy\,dz\,dt</math>
+
| style="width:13%; font-size:95%;" |
 +
* [[: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>f(n) =
+
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.
−
\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>
+
The largest known prime to date is {{Greatest Mersenne Prime}} discovered by [[Patrick Laroche]] on 2018-12-07. See [[Mersenne News]].
−
:<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>
+
== Categories ==
−
:<math>\pi(1)=0\ ;\ \pi(10) = 4\ ;\ \pi(100) = 25\ ;\ \pi(1000) = 168; \ \pi(1000000)=78498</math>
+
Categories can be found [[:Category:!TopLevel|'''here''']].
−
}}
 
  
−
{{Box|hide=true|title=Example of page categorizations|content=<categorytree mode=categories depth="5" showcount="on">!TopLevel</categorytree>}}
+
==Special Events==
 +
* [[GIMPS20]]
  
−
{{Box|hide=true|title=Example of prime sequence and reservation|content=[[Williams primes base 5]]}}
+
==Mathematics==
 +
* [[Frequently asked questions]]
 +
* [[Glossary]]
 +
* [[Factorization|Factorization methods]]
 +
* [[Primality test|Primality tests]]
  
−
{{Box|hide=true|title=Configuration tests: external links open in new browser tab/window|content=
+
==Software==
−
*[https://www.rieselprime.de/default.htm Riesel and Proth Prime Databse RPPDb]
+
* [[GIMPS clients]] - includes the official GIMPS clients [[Prime95]]/MPrime
−
*[https://www.mersenneforum.org/index.php MersenneForum.org]
+
* [[Primality testing program]]s
−
*[http://factordb.com/ FactorDB]
+
* [[Factoring program]]s
−
}}
+
* [[GPU]] clients
 +
* [[:Category:Software|Various other software]]
  
−
{{Box|hide=true|title=Examples of template usage and data table generating|content=
+
==Hardware==
−
The <b>[[:Category:Carol-Kynea_primes|category]]</b> for Carol/Kynea primes holds 3 example pages for some bases (2, 6 and 10).
+
* [[Frequently asked questions]]
 +
* [[System Requirements and Compatible Hardware]]
  
−
These pages hold their data in the template <b>[[:Template:CarolKyneaBase|CarolKyneaBase]]</b> using named parameters.
+
==Projects==
 +
{| border="1" cellpadding="5" cellspacing="0"
 +
|-
 +
| colspan="3" align="center"|'''[[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]] ||
 +
|}
  
−
The parameters can be used to create automatically a <b>[[Carol-Kynea_table|table]]</b> of those pages.
+
==Contributors==
 +
Feel free to post your name here and eventually what you've done.
  
−
}}
+
*[[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.
  
−
{{Box|hide=true|title=Examples for including PDF documents|content=
+
==To all users!==
−
<pdf width="320" height="480">File:First PDF.pdf</pdf>
+
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>.
  
−
*Show document starting at page 3 and different sizings:
+
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.
−
<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}
 
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        },
 
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        "update": {
 
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          "fill": {"value": "steelblue"}
 
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        },
 
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        "hover": {
 
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          "fill": {"value": "red"}
 
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        }
 
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      }
 
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    }
 
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  ]
 
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}</graph>
 
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Some other demo graphs are shown [https://www.mediawiki.org/wiki/Extension:Graph/Demo here].
 
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}}
 

Revision as of 11:00, 14 January 2019

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


Welcome to the Prime Wiki,
the encyclopedia that registered users can edit.
10,785 articles in English (mainly).

This wiki is for the Great Internet Mersenne Prime Search (GIMPS), a distributed computing project dedicated to finding Mersenne primes and related prime finding projects.

The largest known prime to date is ERROR in calling template "Greatest Mersenne Prime" discovered by Patrick Laroche on 2018-12-07. See Mersenne News.

Categories

Categories can be found here.

Special Events

Mathematics

Software

Hardware

Projects

GIMPS
GIMPS Related Projects
Lone Mersenne Hunters 100 Million Digit Prefactor Project Operation Billion Digits
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
Other Factoring Projects
Mersenneplustwo Factorizations NFSNET Home Primes Search
Aliquot Sequences Search (see forum) ElevenSmooth Cunningham Tables
Factoring Database
Defunct Projects
MasterPrime 2006 15k Search

Contributors

Feel free to post your name here and eventually what you've done.

To all users!

Please remember to create an account and log in to edit pages. You can play around in the Sandbox. Remember that your changes will not be saved until you request and receive an account here.

Unfortunately, account creation by new users is now disabled due to excessive vandalism. However, anyone desiring editing status can request an account on the GIMPS forum.

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