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Difference between revisions of "Template:NGF"

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(link&real examp.&2nd param=2)
 
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==Usage==
 
==Usage==
 
This template uses one to three unnamed parameters which are defined as follows:
 
This template uses one to three unnamed parameters which are defined as follows:
:<code><nowiki>{{NFt|<value>|<value>|<value>}}</nowiki></code>
+
:<code><nowiki>{{NGF|<value>|<value>|<value>}}</nowiki></code>
 
*one parameter: the ''n''-value is given and displays as [[Fermat number]] {{Kbn|+|2<sup>n</sup>}}
 
*one parameter: the ''n''-value is given and displays as [[Fermat number]] {{Kbn|+|2<sup>n</sup>}}
 
*two parameters: the ''a''- and ''n''-values are given and display as [[Generalized Fermat number]] {{Kbn|+|1|a|2<sup>n</sup>}}
 
*two parameters: the ''a''- and ''n''-values are given and display as [[Generalized Fermat number]] {{Kbn|+|1|a|2<sup>n</sup>}}
*three parameters: the ''a''-, ''b''- and ''n''-values given and display as [[Extended Generalized Fermat number]] a<sup>2<sup>n</sup></sup> + b<sup>2<sup>n</sup></sup>
+
*three parameters: the ''a''-, ''b''- and ''n''-values given and display as [[Generalized Fermat number|Extended Generalized Fermat number]] a<sup>2<sup>n</sup></sup> + b<sup>2<sup>n</sup></sup>
  
 
==Examples==
 
==Examples==
*<code><nowiki>{{NFt|123}}</nowiki></code>: {{NFt|123}}
+
*<code><nowiki>{{NGF|55}}</nowiki></code>: {{NGF|55}}
*<code><nowiki>{{NFt|3|123}}</nowiki></code>: {{NFt|3|123}}
+
*<code><nowiki>{{NGF|2|55}}</nowiki></code>: {{NGF|2|55}}
*<code><nowiki>{{NFt|5|3|123}}</nowiki></code>: {{NFt|5|3|123}}
+
*<code><nowiki>{{NGF|3|15}}</nowiki></code>: {{NGF|3|15}}
 +
*<code><nowiki>{{NGF|7|6|14}}</nowiki></code>: {{NGF|7|6|14}}
  
 
[[Category:Templates]]</noinclude><includeonly>{{#vardefine:args|0}}{{#if:{{{3|}}}|{{#vardefine:args|3}}|{{#if:{{{2|}}}|{{#vardefine:args|2}}|{{#vardefine:args|1}}}}}}{{#switch:{{#var:args}}
 
[[Category:Templates]]</noinclude><includeonly>{{#vardefine:args|0}}{{#if:{{{3|}}}|{{#vardefine:args|3}}|{{#if:{{{2|}}}|{{#vardefine:args|2}}|{{#vardefine:args|1}}}}}}{{#switch:{{#var:args}}
 
|1=[[Generalized Fermat number 2 1 {{{1}}}|Fermat {{Kbn|+|2<sup>{{{1}}}</sup>}}]]
 
|1=[[Generalized Fermat number 2 1 {{{1}}}|Fermat {{Kbn|+|2<sup>{{{1}}}</sup>}}]]
|2=[[Generalized Fermat number {{{1}}} 1 {{{2}}}|Gen. Fermat {{Kbn|+|1|{{{1}}}|2<sup>{{{2}}}</sup>}}]]
+
|2={{#ifeq:{{{1}}}|2|[[Generalized Fermat number 2 1 {{{2}}}|Fermat {{Kbn|+|2<sup>{{{2}}}</sup>}}]]|[[Generalized Fermat number {{{1}}} 1 {{{2}}}|Gen. Fermat {{Kbn|+|1|{{{1}}}|2<sup>{{{2}}}</sup>}}]]}}
 
|3=[[Generalized Fermat number {{{1}}} {{{2}}} {{{3}}}|xGen. Fermat {{{1}}}<sup>2<sup>{{{3}}}</sup></sup>+{{{2}}}<sup>2<sup>{{{3}}}</sup></sup>]]}}</includeonly>
 
|3=[[Generalized Fermat number {{{1}}} {{{2}}} {{{3}}}|xGen. Fermat {{{1}}}<sup>2<sup>{{{3}}}</sup></sup>+{{{2}}}<sup>2<sup>{{{3}}}</sup></sup>]]}}</includeonly>

Latest revision as of 09:26, 7 June 2024

Purpose

Displays a Generalized Fermat number of the form a2n + b2n (if b=1 : a2n + 1) with link to the page.

Usage

This template uses one to three unnamed parameters which are defined as follows:

{{NGF|<value>|<value>|<value>}}

Examples