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Difference between revisions of "Template:DGF"
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<noinclude> | <noinclude> | ||
==Purpose== | ==Purpose== | ||
| − | Displays a short form of a [[Generalized Fermat number]] of the form a<sup>2<sup> | + | Displays a short form of a [[Generalized Fermat number]] of the form {{V|a}}<sup>2<sup>{{Vn}}</sup></sup> + {{V|b}}<sup>2<sup>{{Vn}}</sup></sup> (if {{Vb}}=1 : {{V|a}}<sup>2<sup>{{Vn}}</sup></sup> + 1) with link to the page. |
==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>{{DGF|<value>|<value>|<value>}}</nowiki></code> | :<code><nowiki>{{DGF|<value>|<value>|<value>}}</nowiki></code> | ||
| − | *one parameter: the | + | *one parameter: the {{Vn}}-value is given and displays as [[Fermat number]] {{Kbn|+|2<sup>n</sup>}}: F(n) |
| − | *two parameters: the | + | *two parameters: the {{Vn}}- and {{V|a}}-values are given and display as [[Generalized Fermat number]] {{Kbn|+|1|a|2<sup>n</sup>}}: GF(n,a) |
| − | *three parameters: the | + | *three parameters: the {{Vn}}-, {{V|a}}- and {{Vb}}-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>: xGF(n,a,b) |
==Examples== | ==Examples== | ||
| − | *<code><nowiki>{{DGF| | + | *<code><nowiki>{{DGF|55}}</nowiki></code>: {{DGF|55}} |
| − | *<code><nowiki>{{DGF| | + | *<code><nowiki>{{DGF|15|2}}</nowiki></code>: {{DGF|15|2}} |
| − | *<code><nowiki>{{DGF| | + | *<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}} | [[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}}})]] | |1=[[Generalized Fermat number 2 1 {{{1}}}|F({{{1}}})]] | ||
| − | |2=[[Generalized Fermat number {{{1}}} 1 {{{2}}}|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 {{{ | + | |3=[[Generalized Fermat number {{{2}}} {{{3}}} {{{1}}}|xGF({{{1}}},{{{2}}},{{{3}}})]]}}</includeonly> |
Latest revision as of 09:32, 7 June 2024
Purpose
Displays a short form of 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:
{{DGF|<value>|<value>|<value>}}
- one parameter: the n-value is given and displays as Fermat number 22n+1: F(n)
- two parameters: the n- and a-values are given and display as Generalized Fermat number a2n+1: GF(n,a)
- three parameters: the n-, a- and b-values given and display as Extended Generalized Fermat number a2n + b2n: xGF(n,a,b)
Examples
{{DGF|55}}: F(55){{DGF|15|2}}: F(15){{DGF|15|3}}: GF(15,3){{DGF|14|7|6}}: xGF(14,7,6)
