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Difference between revisions of "Template:Cullen prime"

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Template "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.
  
−
By default, the category [[:Category:Gen. Cullen prime|Gen. Cullen prime]] is set.
+
If there are no {{Vn}} values given, then the category [[:Category:Cullen prime without|Cullen prime without]] is also set.
−
 
 
−
If there are no n values given, then the category [[:Category:Gen. Cullen prime without|Gen. Cullen prime without]] is also set.
 
  
 
==Prototype==
 
==Prototype==
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|CuMaxn=1234
 
|CuMaxn=1234
 
|CuDate=2019-04-26
 
|CuDate=2019-04-26
−
|CuReserved=Dylan Delgado
+
|CuReserved=Karsten Bonath,test
 
|CuMultiRes=
 
|CuMultiRes=
 
|CuNlist=
 
|CuNlist=
Line 44: Line 42:
 
|CuMaxn=1234
 
|CuMaxn=1234
 
|CuDate=2019-04-26
 
|CuDate=2019-04-26
−
|CuReserved=Dylan Delgado,test
+
|CuReserved=Karsten Bonath,test
 
|CuMultiRes=
 
|CuMultiRes=
 
|CuNlist=
 
|CuNlist=
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|CuRemarks=The {{OEIS|l|A007646}}
 
|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>__NOTOC__{{#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:{{{CuNlist|}}}||[[Category:Gen. Cullen prime without|#.....{{padleft:{{#explode:{{PAGENAME}}||1}}|5}}]]}}{{#if:{{{CuMultiRes|}}}|{{ReservedM|{{{CuMultiRes}}}}}|{{#if:{{{CuReserved|}}}|{{Reserved|{{{CuReserved}}}}}}}}}}}
+
|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==
 
{| class="primedata"
 
{| class="primedata"
−
| class="primetemplate" |
+
| 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> || {{#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>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> || {{#if:{{{CuMultiRes|}}}|{{#if:{{{CuDate|}}}|{{{CuDate}}} ({{Multi Reservation:{{{CuMultiRes}}}-Date}})|{{Multi Reservation:{{{CuMultiRes}}}-Date}}}}|{{{CuDate}}}}}
 
   | align="right" | <b>Date :</b> || {{#if:{{{CuMultiRes|}}}|{{#if:{{{CuDate|}}}|{{{CuDate}}} ({{Multi Reservation:{{{CuMultiRes}}}-Date}})|{{Multi Reservation:{{{CuMultiRes}}}-Date}}}}|{{{CuDate}}}}}
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|}{{#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|
 
}}{{#ifeq:{{NAMESPACENUMBER}}|0|

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
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