Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "Template:Cullen prime"

From Prime-Wiki
Jump to: navigation, search
m
(order)
 
(19 intermediate revisions by 2 users not shown)
Line 1: Line 1:
 
<noinclude>
 
<noinclude>
 
==Description==
 
==Description==
−
Template "Gen. Cullen prime"
+
Template "Cullen prime"
  
−
Displays current data for [[Gen. Cullen prime|Generalized Cullen primes]], comments will be displayed as references at the bottom.
+
Displays current data for [[:Category:Cullen prime|(Near/Generalized) Cullen primes]], comments will be displayed as references at the bottom.
  
−
==Calling==
+
If there are no {{Vn}} values given, then the category [[:Category:Cullen prime without|Cullen prime without]] is also set.
 +
 
 +
==Prototype==
 
<pre>
 
<pre>
−
{{Gen. Cullen prime
+
{{Cullen prime
 
|CuBase=
 
|CuBase=
 
|CuMaxn=
 
|CuMaxn=
 
|CuDate=
 
|CuDate=
 
|CuReserved=
 
|CuReserved=
 +
|CuMultiRes=
 
|CuNlist=
 
|CuNlist=
 
|CuRemarks=
 
|CuRemarks=
 
}}
 
}}
 
</pre>
 
</pre>
−
 
−
By default, the category [[:Category:Gen. Cullen prime|Gen. Cullen prime]] is set.
 
−
 
−
If there are no n values given, then the category [[:Category:Gen. Cullen prime without|Gen. Cullen prime without]] is also set.
 
  
 
==Example==
 
==Example==
 
<pre>
 
<pre>
−
{{Gen. Cullen prime
+
{{Cullen prime
 
|CuBase=4
 
|CuBase=4
 
|CuMaxn=1234
 
|CuMaxn=1234
 
|CuDate=2019-04-26
 
|CuDate=2019-04-26
−
|CuReserved=Dylan Delgado
+
|CuReserved=Karsten Bonath,test
 +
|CuMultiRes=
 
|CuNlist=
 
|CuNlist=
 
1
 
1
Line 33: Line 33:
 
33
 
33
 
193;C:test
 
193;C:test
−
|CuRemarks=The {{OEIS|l|A050915}}
+
|CuRemarks=The {{OEIS|l|A007646}}
 
}}
 
}}
 
</pre>
 
</pre>
  
 
will generate
 
will generate
−
{{Gen. Cullen prime
+
{{Cullen prime
 
|CuBase=4
 
|CuBase=4
 
|CuMaxn=1234
 
|CuMaxn=1234
 
|CuDate=2019-04-26
 
|CuDate=2019-04-26
−
|CuReserved=Dylan Delgado
+
|CuReserved=Karsten Bonath,test
 +
|CuMultiRes=
 
|CuNlist=
 
|CuNlist=
 
1
 
1
Line 48: Line 49:
 
33
 
33
 
193;C:test
 
193;C:test
−
|CuRemarks=The {{OEIS|l|A050915}}
+
|CuRemarks=The {{OEIS|l|A007646}}
 
}}
 
}}
−
[[Category:Prime collections]]
+
[[Category:Prime collections]]</noinclude><includeonly>__NOTOC__{{#ifeq:{{NAMESPACENUMBER}}|0|{{#vardefine:b|{{#explode:{{PAGENAME}}||-1}}}}{{#if:{{{CuMultiRes|}}}|{{ReservedM|{{{CuMultiRes}}}}}|{{#if:{{{CuReserved|}}}|{{Reserved|{{{CuReserved}}}}}}}}}{{#switch:{{#explode:{{PAGENAME}}||-2}}
−
</noinclude><includeonly>{{#ifeq:{{NAMESPACENUMBER}}|0|{{DISPLAYTITLE:Generalized Cullen primes of the form {{Kbn|+|n|{{#explode:{{PAGENAME}}||-1}}|n}}}}[[Category:Gen. Cullen prime|#.....{{padleft:{{#explode:{{PAGENAME}}||1}}|5}}]]{{#if:{{{WoNlist|}}}||[[Category:Gen. Cullen prime without|#.....{{padleft:{{#explode:{{PAGENAME}}||1}}|5}}]]}}}}
+
|P={{#vardefine:s|&nbsp;P}}{{#vardefine:n|(n+1)}}{{#vardefine:p|Near&nbsp;}}
 +
|M={{#vardefine:s|&nbsp;M}}{{#vardefine:n|(n-1)}}{{#vardefine:p|Near&nbsp;}}
 +
|#default={{#vardefine:s|}}{{#vardefine:n|n}}{{#vardefine:p|}}}}{{DISPLAYTITLE:{{#var:p}}Generalized Cullen primes of the form {{Kbn|+|{{#var:n}}|{{#var:b}}|n}}}}[[Category:Cullen prime{{#var:s}}|#.....{{padleft:{{#var:b}}|5}}]]{{#if:{{{CuNlist|}}}||[[Category:Cullen prime{{#var:s}} without|#.....{{padleft:{{#var:b}}|5}}]]}}}}{{#ifeq:{{NAMESPACENUMBER}}|10|{{#vardefine:b|4}}{{#vardefine:n|n}}}}
 
==Current data==
 
==Current data==
−
{| style="border:solid black 1px; border-radius:5px;"
+
{| class="primedata"
−
| <div width="15%" style="background-color:SkyBlue">
+
| class="primetemplate color-PrimeTemplate" |
 
  {|  
 
  {|  
 +
  | align="right" | <b>ASCII format :</b> || {{#var:n}}*{{#var:b}}^n+1
 +
  |-
 
   | align="right" | <b>Base :</b> || {{{CuBase}}}
 
   | align="right" | <b>Base :</b> || {{{CuBase}}}
 
   |-
 
   |-
 
   | align="right" | <b>Count :</b> || {{#if:{{#pos:{{{CuRemarks|}}}|reuse}}|{{#arraydefine:L|{{{CuNlist}}}}}{{#arraysize:L}}|{{NVal list|{{{CuNlist}}}|count}}}}
 
   | align="right" | <b>Count :</b> || {{#if:{{#pos:{{{CuRemarks|}}}|reuse}}|{{#arraydefine:L|{{{CuNlist}}}}}{{#arraysize:L}}|{{NVal list|{{{CuNlist}}}|count}}}}
 
   |-
 
   |-
−
   | align="right" | <b>Max&nbsp;<i>n</i> :</b> || {{Num|{{{CuMaxn}}}}}
+
   | align="right" | <b>Max&nbsp;{{Vn}} :</b> || {{#if:{{{CuMultiRes|}}}|{{#if:{{{CuMaxn|}}}|{{Num|{{{CuMaxn}}}}} ({{Num|{{Multi Reservation:{{{CuMultiRes}}}-NMax}}}})|{{Num|{{Multi Reservation:{{{CuMultiRes}}}-NMax}}}}}}|{{#if:{{{CuMaxn|}}}|{{Num|{{{CuMaxn}}}}}|{{Alert|Attention!|Parameter CuMaxn not given!}}}}}}
 
   |-
 
   |-
−
   | align="right" | <b>Date :</b> || {{{CuDate}}}
+
   | align="right" | <b>Date :</b> || {{#if:{{{CuMultiRes|}}}|{{#if:{{{CuDate|}}}|{{{CuDate}}} ({{Multi Reservation:{{{CuMultiRes}}}-Date}})|{{Multi Reservation:{{{CuMultiRes}}}-Date}}}}|{{{CuDate}}}}}
 
   |-
 
   |-
−
   {{#if:{{{CuReserved|}}}|
+
   {{#if:{{{CuMultiRes|}}}|{{#vardefine:_res|{{Multi Reservation:{{{CuMultiRes}}}-Contributor}}}}|{{#if:{{{CuReserved|}}}|{{#vardefine:_res|{{{CuReserved}}}}}}}}}{{#if:{{#var:_res}}|
−
    {{!}} align="right" {{!}} <b>Reserved :</b> {{!}}{{!}} {{Contribs|{{{CuReserved}}}}}
+
  {{!}} align="right" {{!}} <b>Reserved :</b> {{!}}{{!}} {{Contribs|{{#var:_res}}}}{{#ifeq:{{NAMESPACENUMBER}}|0|{{#arraydefine:u|{{#var:_res}}}}{{#loop:i
 +
| 0
 +
| {{#arraysize:u}}
 +
| <span style="display:none">[[{{#arrayindex:u|{{#var:i}}}}/Reserved]]</span>}}}}
 
   }}
 
   }}
 
  |}
 
  |}
−
</div>
+
|
−
| <div width="85%">
 
 
  {|  
 
  {|  
 
  | {{NVal list|{{{CuNlist}}}}}
 
  | {{NVal list|{{{CuNlist}}}}}
 
  |}
 
  |}
−
</div>
 
 
|}{{#if:{{{CuRemarks|}}}|
 
|}{{#if:{{{CuRemarks|}}}|
 
{{{!}}  
 
{{{!}}  
−
{{!}} <div height="120%" style="background-color:SkyBlue;"><b>Remarks : </b></div> {{!}}{{!}} {{{CuRemarks}}}
+
{{!}} <div height="120%" class="color-PrimeTemplate"><b>Remarks : </b></div> {{!}}{{!}} {{{CuRemarks}}}
 
{{!}}}
 
{{!}}}
 +
}}{{#ifeq:{{NAMESPACENUMBER}}|0|
 +
  {{#if:{{{CuMultiRes|}}}|[[Category:{{Multi Reservation:{{{CuMultiRes}}}-Name}}|#.....{{padleft:{{{CuBase}}}|5|0}}]]}}
 
}}
 
}}
 
{{#if:{{#pos:{{{CuNlist}}}|:}}|
 
{{#if:{{#pos:{{{CuNlist}}}|:}}|
 
==Notes==
 
==Notes==
 
<references />}}</includeonly>
 
<references />}}</includeonly>

Latest revision as of 06:15, 25 October 2024

Description

Template "Cullen prime"

Displays current data for (Near/Generalized) Cullen primes, comments will be displayed as references at the bottom.

If there are no n values given, then the category Cullen prime without is also set.

Prototype

{{Cullen prime
|CuBase=
|CuMaxn=
|CuDate=
|CuReserved=
|CuMultiRes=
|CuNlist=
|CuRemarks=
}}

Example

{{Cullen prime
|CuBase=4
|CuMaxn=1234
|CuDate=2019-04-26
|CuReserved=Karsten Bonath,test
|CuMultiRes=
|CuNlist=
1
5
33
193;C:test
|CuRemarks=The {{OEIS|l|A007646}}
}}

will generate

Current data

ASCII format : n*4^n+1
Base : 4
Count : 4
Max n : 1,234
Date : 2019-04-26
Reserved : Karsten Bonath, test
1, 5, 33, 193[1]
Remarks :
The sequence A007646 in OEIS

Notes

  1. ↑ test
Retrieved from "https://www.rieselprime.de/z/index.php?title=Template:Cullen_prime&oldid=35882"