Difference between revisions of "Template:DGF"

Latest revision as of 09:32, 7 June 2024

Displays a short form of a Generalized Fermat number of the form a^2ⁿ + b^2ⁿ (if b=1 : a^2ⁿ + 1) with link to the page.

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

{{DGF|<value>|<value>|<value>}}

one parameter: the n-value is given and displays as Fermat number 2^2ⁿ+1: F(n)
two parameters: the n- and a-values are given and display as Generalized Fermat number a^2ⁿ+1: GF(n,a)
three parameters: the n-, a- and b-values given and display as Extended Generalized Fermat number a^2ⁿ + b^2ⁿ: xGF(n,a,b)

@@ Line 11: / Line 11: @@
 ==Examples==
-*<code><nowiki>{{DGF|123}}</nowiki></code>: {{DGF|123}}
+*<code><nowiki>{{DGF|55}}</nowiki></code>: {{DGF|55}}
-*<code><nowiki>{{DGF|123|3}}</nowiki></code>: {{DGF|123|3}}
+*<code><nowiki>{{DGF|15|2}}</nowiki></code>: {{DGF|15|2}}
-*<code><nowiki>{{DGF|123|5|3}}</nowiki></code>: {{DGF|123|5|3}}
+*<code><nowiki>{{DGF|15|3}}</nowiki></code>: {{DGF|15|3}}
+*<code><nowiki>{{DGF|14|7|6}}</nowiki></code>: {{DGF|14|7|6}}
 [[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}}}|F({{{1}}})]]
-|2=[[Generalized Fermat number {{{2}}} 1 {{{1}}}|GF({{{1}}},{{{2}}})]]
+|2={{#ifeq:{{{2}}}|2|[[Generalized Fermat number 2 1 {{{1}}}|F({{{1}}})]]|[[Generalized Fermat number {{{2}}} 1 {{{1}}}|GF({{{1}}},{{{2}}})]]}}
 |3=[[Generalized Fermat number {{{2}}} {{{3}}} {{{1}}}|xGF({{{1}}},{{{2}}},{{{3}}})]]}}</includeonly>