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:K-type"

From Prime-Wiki
Jump to: navigation, search
(w/o ifexist for Low weight)
m
 
(5 intermediate revisions by the same user not shown)
Line 1: Line 1:
 
<noinclude>
 
<noinclude>
 
==Purpose==
 
==Purpose==
Prints the type of a Riesel/Proth k-value with linked category.
+
Prints the type of a Riesel/Proth {{Vk}}-value with linked category.
  
 
==Definitions==
 
==Definitions==
*<div style="width:1.2em; text-align: center; background:Pink; display:inline-block;" title="15k">1</div>: 15k value (k is a multiple of 15)
+
*<div style="width:1.6em; text-align: center; background:HotPink; display:inline-block;" title="3k">3</div>: 3k value ({{Vk}} is a multiple of 3)
*<div style="width:1.2em; text-align: center; background:CornflowerBlue; display:inline-block;" title="2145k">2</div>: 2145k value (k is a multiple of  2145)
+
*<div style="width:1.6em; text-align: center; background:Pink; display:inline-block;" title="15k">15</div>: 15k value ({{Vk}} is a multiple of 15)
*<div style="width:1.2em; text-align: center; background:GreenYellow; display:inline-block;" title="2805k">8</div>: 2805k value (k is a multiple of 2805)
+
*<div style="width:2.6em; text-align: center; background:CornflowerBlue; display:inline-block;" title="2145k">2145</div>: 2145k value ({{Vk}} is a multiple of  2145)
*<div style="width:1.2em; text-align: center; background:Cyan; display:inline-block;" title="Low weight">L</div>: Low Nash value (Nash < 1000)
+
*<div style="width:2.6em; text-align: center; background:GreenYellow; display:inline-block;" title="2805k">2805</div>: 2805k value ({{Vk}} is a multiple of 2805)
*<div style="width:1.2em; text-align: center; background:Coral; display:inline-block;" title="Riesel number">R</div>: Riesel number (only on Riesel-side)
+
*<div style="width:2.2em; text-align: center; background:Cyan; display:inline-block;" title="Low weight">Low</div>: Low Nash value ([[Nash weight]] < 1000)
 +
<!--*<div style="width:2.2em; text-align: center; background:Coral; display:inline-block;" title="Riesel number">Ris</div>: Riesel number (only on Riesel-side)-->
  
 
==Calling==
 
==Calling==
 
*First unnamed parameter is the type: Riesel or Proth
 
*First unnamed parameter is the type: Riesel or Proth
*Second parameter is the k-value
+
*Second parameter is the {{Vk}}-value
 
<pre>
 
<pre>
 
{{K-type|Riesel/Proth|<k-value>}}
 
{{K-type|Riesel/Proth|<k-value>}}
 
</pre>
 
</pre>
  
==Example==
+
==Examples==
<pre>
+
:<code><nowiki>{{K-type|Riesel|36465}}</nowiki></code> will produce {{K-type|Riesel|36465}} because {{Vk}}=36465 is a multiple of 3, 15, 2145, and 2805.
{{K-type|Riesel|8415}}
+
:<code><nowiki>{{K-type|Riesel|43}}</nowiki></code> will produce {{K-type|Riesel|43}} because {{Vk}}=43 is low weight.
</pre>
 
will produce
 
:{{K-type|Riesel|8415}}
 
because k=8415 is a multiple of 15 and 2805.
 
 
[[Category:Prime collections]]
 
[[Category:Prime collections]]
</noinclude><includeonly><div style="white-space:nowrap">{{#ifexpr:{{{2}}} mod 15||<div style="width:1.2em; text-align: center; background:Pink; display:inline-block;" title="15k">[[:Category:{{{1}}} k=15k value|1]]</div>}}<!--
+
</noinclude><includeonly><span style="white-space:nowrap;"><!--
-->{{#ifexpr:{{{2}}} mod 2145||<div style="width:1.2em; text-align: center; background:CornflowerBlue; display:inline-block;" title="2145k">[[:Category:{{{1}}} k=2145k value|2]]</div>}}<!--
+
-->{{#ifexpr:{{{2}}} mod 3||<span style="width:1.6em; text-align: center; background:HotPink; display:inline-block;" title="3k">[[{{{1}}} 2 3k-value|3]]</span>}}<!--
-->{{#ifexpr:{{{2}}} mod 2805||<div style="width:1.2em; text-align: center; background:GreenYellow; display:inline-block;" title="2805k">[[:Category:{{{1}}} k=2805k value|8]]</div>}}<!--
+
-->{{#ifexpr:{{{2}}} mod 15||<span style="width:1.6em; text-align: center; background:Pink; display:inline-block;" title="15k">[[{{{1}}} 2 15k-value|15]]</span>}}<!--
-->{{#if:{{#pos:{{#dpl:title=Riesel prime {{{2}}}|skipthispage=no|include={Riesel prime}:RRemarks}}|Riesel}}|<div style="width:1.2em; text-align: center; background:Coral; display:inline-block;" title="Riesel">[[:Category:Riesel k=Riesel|R]]</div>}}<!--
+
-->{{#ifexpr:{{{2}}} mod 2145||<span style="width:2.6em; text-align: center; background:CornflowerBlue; display:inline-block;" title="2145k">[[{{{1}}} 2 2145k-value|2145]]</span>}}<!--
{{#ifexist:{{{1}}} prime {{{2}}}|{{#ifexpr:{{#dpl:title={{{1}}} prime {{{2}}}|skipthispage=no|include={ {{{1}}} prime}:{{#sub:{{{1}}}|0|1}}Nash}}<1000|<div style="width:1.2em; text-align: center; background:Cyan; display:inline-block;" title="Low weight">[[:Category:{{{1}}} k=Low weight|L]]</div>|}}|}}
+
-->{{#ifexpr:{{{2}}} mod 2805||<span style="width:2.6em; text-align: center; background:GreenYellow; display:inline-block;" title="2805k">[[{{{1}}} 2 2805k-value|2805]]</span>}}<!--
-->{{#if:{{GP|{{{1}}} prime {{{2}}}|RNash}}|{{#ifexpr:{{#dpl:title={{{1}}} prime {{{2}}}|skipthispage=no|include={ {{{1}}} prime}:{{#sub:{{{1}}}|0|1}}Nash}}<1000|<div style="width:1.2em; text-align: center; background:Cyan; display:inline-block;" title="Low weight">[[:Category:{{{1}}} k=Low weight|L]]</div>|}}|}}</div></includeonly>
+
-->{{#switch:{{{1}}}
 +
|Riesel={{#if:{{GP|{{{1}}} prime 2 {{{2}}}|RNash}}|{{#ifexpr:{{#dpl:title={{{1}}} prime 2 {{{2}}}|skipthispage=no|include={ {{{1}}} prime}:RNash}}<1000|<span style="width:2.2em; text-align: center; background:Cyan; display:inline-block;" title="Low weight">[[{{{1}}} 2 Low-weight|Low]]</span>|}}|}}
 +
|Proth={{#if:{{GP|{{{1}}} prime 2 {{{2}}}|PNash}}|{{#ifexpr:{{#dpl:title={{{1}}} prime 2 {{{2}}}|skipthispage=no|include={ {{{1}}} prime}:PNash}}<1000|<span style="width:2.2em; text-align: center; background:Cyan; display:inline-block;" title="Low weight">[[{{{1}}} 2 Low-weight|Low]]</span>|}}|}}}}</span></includeonly>

Latest revision as of 17:08, 3 August 2021

Purpose

Prints the type of a Riesel/Proth k-value with linked category.

Definitions

  • 3
    : 3k value (k is a multiple of 3)
  • 15
    : 15k value (k is a multiple of 15)
  • 2145
    : 2145k value (k is a multiple of 2145)
  • 2805
    : 2805k value (k is a multiple of 2805)
  • Low
    : Low Nash value (Nash weight < 1000)

Calling

  • First unnamed parameter is the type: Riesel or Proth
  • Second parameter is the k-value
{{K-type|Riesel/Proth|<k-value>}}

Examples

{{K-type|Riesel|36465}} will produce 31521452805 because k=36465 is a multiple of 3, 15, 2145, and 2805.
{{K-type|Riesel|43}} will produce Low because k=43 is low weight.