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Difference between revisions of "Template:Riesel prime"

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Display of current data for Riesel primes, comments will be displayed as references at the bottom.
 
Display of current data for Riesel primes, comments will be displayed as references at the bottom.
  
==Calling==
+
==Prototype==
 
<pre>
 
<pre>
 
{{Riesel prime
 
{{Riesel prime
Line 36: Line 36:
 
==Categories set==
 
==Categories set==
 
In case of the following conditions special categories will be set automatically:
 
In case of the following conditions special categories will be set automatically:
 +
*If k-value is disvisible by 3 &rarr; category [[:Category:Riesel k=3k value|Riesel 3k]] is set
 
*If k-value is disvisible by 15 &rarr; category [[:Category:Riesel k=15k value|Riesel 15k]] is set
 
*If k-value is disvisible by 15 &rarr; category [[:Category:Riesel k=15k value|Riesel 15k]] is set
 
*If k-value is disvisible by 2145 &rarr; category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set
 
*If k-value is disvisible by 2145 &rarr; category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set
Line 58: Line 59:
 
|RDate=2019-03-01
 
|RDate=2019-03-01
 
|RReserved=Karsten Bonath,Euclid
 
|RReserved=Karsten Bonath,Euclid
 +
|RMultiRes=
 
|RNlist=
 
|RNlist=
2;T:S;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1, also (2-1)*2^2-1
+
2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1
 
3;T:SW;C:[[M2]], Woodall: 2*2^2-1
 
3;T:SW;C:[[M2]], Woodall: 2*2^2-1
 
5;C:[[M3]], Near Woodall: (3+1)*2^3-1
 
5;C:[[M3]], Near Woodall: (3+1)*2^3-1
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|RDate=2019-03-01
 
|RDate=2019-03-01
 
|RReserved=Karsten Bonath,Euclid
 
|RReserved=Karsten Bonath,Euclid
 +
|RMultiRes=
 
|RNlist=
 
|RNlist=
2;T:S;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1, also (2-1)*2^2-1
+
2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1
 
3;T:SW;C:[[M2]], Woodall: 2*2^2-1
 
3;T:SW;C:[[M2]], Woodall: 2*2^2-1
 
5;C:[[M3]], Near Woodall: (3+1)*2^3-1
 
5;C:[[M3]], Near Woodall: (3+1)*2^3-1
Line 93: Line 96:
 
[[Category:Prime collections]]</noinclude><includeonly>__NOTOC__{{#ifeq:{{NAMESPACENUMBER}}|0|{{DISPLAYTITLE:Riesel primes of the form {{Kbn|{{#explode:{{PAGENAME}}||-1}}|2|n}}}}{{#if:{{{RMultiRes|}}}|{{ReservedM|{{{RMultiRes}}}}}|{{#if:{{{RReserved|}}}|{{Reserved|{{{RReserved}}}}}}}}}<!--
 
[[Category:Prime collections]]</noinclude><includeonly>__NOTOC__{{#ifeq:{{NAMESPACENUMBER}}|0|{{DISPLAYTITLE:Riesel primes of the form {{Kbn|{{#explode:{{PAGENAME}}||-1}}|2|n}}}}{{#if:{{{RMultiRes|}}}|{{ReservedM|{{{RMultiRes}}}}}|{{#if:{{{RReserved|}}}|{{Reserved|{{{RReserved}}}}}}}}}<!--
 
-->{{#if:{{{RCount|}}}||[[Category:Missing RCount]]}}<!--
 
-->{{#if:{{{RCount|}}}||[[Category:Missing RCount]]}}<!--
-->{{#vardefine:_cnt|{{NVal list|{{{RNlist}}}|count}}}}{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount|}}}|{{#var:_cnt}}||{{Alert|Attention!|Parameter RCount ({{{RCount}}}) differs from counting ({{#var:_cnt}}). Please adjust RCount.}}[[Category:Wrong RCount]]}}}}<!--
+
-->{{#vardefine:_cnt|{{NVal list|{{{RNlist}}}|count}}}}<!--
-->{{#vardefine:_ris|0}}{{#ifeq:{{{RCount}}}|0|{{#ifeq:{{{RNash}}}|0|{{#ifeq:{{{RMaxn}}}|0|{{#vardefine:_ris|1}}}}}}}}}}
+
-->{{#vardefine:_ris|0}}{{#ifeq:{{{RCount}}}|0|{{#ifeq:{{{RNash}}}|0|{{#ifeq:{{{RMaxn}}}|0|{{#vardefine:_ris|1}}}}}}}}}}{{#ifeq:{{NAMESPACENUMBER}}|10|{{#vardefine:_cnt|8}}}}
 
==Current data==
 
==Current data==
 
{| class="primedata"
 
{| class="primedata"
 
| class="primetemplate" |
 
| class="primetemplate" |
 
  {|  
 
  {|  
   | align="right"| <b>k-value :</b> || {{{Rk}}} {{#if:{{{RSieve|}}}|{{#ifexist:File:{{PAGENAME}} sieve.zip|&nbsp;([[:File:{{PAGENAME}} sieve.zip|sieve]])|[[File:{{PAGENAME}} sieve.zip|Upload me!]]}}}} {{#if:{{{Rk|}}}|{{K-type|Riesel|{{{Rk}}}}}}}
+
   | align="right"| <b>k-value :</b> || {{{Rk}}} {{#if:{{{RSieve|}}}|{{#ifexist:File:{{PAGENAME}} sieve.zip|&nbsp;([[:File:{{PAGENAME}} sieve.zip|sieve]])|[[File:{{PAGENAME}} sieve.zip|Upload me!]]}}}} {{#if:{{{Rk|}}}|{{#ifeq:{{#var:_ris}}|0|{{K-type|Riesel|{{{Rk}}}}}}}}}
 
   |-
 
   |-
   | align="right"| <b>Count :</b> || {{#if:{{{RCount|}}}|{{{RCount}}}|{{#var:_cnt}}}}
+
   | align="right"| <b>Count :</b> || {{#if:{{{RCount|}}}|{{#ifeq:{{{RCount|}}}|{{#var:_cnt}}|{{{RCount}}}|{{Alert|Attention!|Parameter RCount&#61;{{{RCount}}} differs from counting&#61;{{#var:_cnt}}}}[[Category:Wrong RCount]]}}|{{Alert|Attention!|Parameter RCount&#61;{{#var:_cnt}} not given!}}}}
 
   |-
 
   |-
 
   | align="right"| <b>Nash :</b> || {{{RNash}}}
 
   | align="right"| <b>Nash :</b> || {{{RNash}}}
 
   |-
 
   |-
   | align="right"| <b>Max&nbsp;<i>n</i> :</b> || {{#if:{{{RMultiRes|}}}|{{Num|{{Multi Reservation:{{{RMultiRes}}}-NMax}}}}|{{Num|{{{RMaxn}}}}}}}
+
   | align="right"| <b>Max&nbsp;<i>n</i> :</b> || {{#if:{{{RMultiRes|}}}|{{#if:{{{RMaxn|}}}|{{Num|{{{RMaxn}}}}} ({{Num|{{Multi Reservation:{{{RMultiRes}}}-NMax}}}})[[Category:Riesel prime missing range|#.....{{padleft:{{{Rk}}}|5|0}}]]|{{Num|{{Multi Reservation:{{{RMultiRes}}}-NMax}}}}}}|{{#if:{{{RMaxn|}}}|{{Num|{{{RMaxn}}}}}|{{Alert|Attention!|Parameter RMaxn not given!}}}}}}
 
   |-
 
   |-
 
   | align="right"| <b>Date :</b> || {{#if:{{{RMultiRes|}}}|{{Multi Reservation:{{{RMultiRes}}}-Date}}|{{{RDate}}}}}
 
   | align="right"| <b>Date :</b> || {{#if:{{{RMultiRes|}}}|{{Multi Reservation:{{{RMultiRes}}}-Date}}|{{{RDate}}}}}
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   -->{{#ifexpr:{{{Rk}}} > 10000000000|[[Category:Riesel k=10e10-infinity|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifexpr:{{{Rk}}} > 10000000000|[[Category:Riesel k=10e10-infinity|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
  
 +
  -->{{#ifexpr:{{{Rk}}} mod 3||[[Category:Riesel k=3k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifexpr:{{{Rk}}} mod 15||[[Category:Riesel k=15k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifexpr:{{{Rk}}} mod 15||[[Category:Riesel k=15k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel k=2145k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel k=2145k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
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   -->{{#ifeq:{{#var:_ris}}|0|{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 
   -->{{#ifeq:{{#var:_ris}}|0|{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 
   -->{{#ifeq:{{#var:_ris}}|1|[[Category:Riesel k=Riesel|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifeq:{{#var:_ris}}|1|[[Category:Riesel k=Riesel|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
   -->{{#ifexpr:{{#var:_cnt}}>99|[[Category:Riesel count 100|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
+
   -->{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>99|[[Category:Riesel count 100|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 
   -->{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount}}}|0|{{#ifeq:{{#var:_ris}}|0|[[Category:Zero RCount|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}<!--
 
   -->{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount}}}|0|{{#ifeq:{{#var:_ris}}|0|[[Category:Zero RCount|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}<!--
   -->{{#if:{{{RCount|}}}|{{#ifexpr:{{GNn|{{PAGENAME}}|{{GP|{{PAGENAME}}|RCount}} }} > {{GP|{{PAGENAME}}|RMaxn}}|[[Category:Riesel prime missing range|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
+
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}<509203|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel prime riesel f{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}<!--
 +
  -->{{#ifexist:{{PAGENAME}}|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|{{#ifexpr:{{GNn|{{PAGENAME}}|{{GP|{{PAGENAME}}|RCount}} }} > {{GP|{{PAGENAME}}|RMaxn}}|[[Category:Riesel prime missing range|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}<!--Exp err
 +
  -->{{#ifexpr:{{{Rk}}} mod 3||{{#if:{{#pos:{{{RNlist}}}|T:S}}{{#pos:{{{RNlist}}}|T:CS}}||[[Category:Riesel prime without Sophie Germain|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} mod 3||{{#if:{{#pos:{{{RNlist}}}|T:T}}{{#pos:{{{RNlist}}}|T:ST}}{{#pos:{{{RNlist}}}|T:CT}}{{#pos:{{{RNlist}}}|T:CST}}||[[Category:Riesel prime without twin|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 
   -->{{#if:{{{RMultiRes|}}}|[[Category:{{Multi Reservation:{{{RMultiRes}}}-Name}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#if:{{{RMultiRes|}}}|[[Category:{{Multi Reservation:{{{RMultiRes}}}-Name}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
-->}}
 
-->}}

Revision as of 14:52, 4 August 2020

Description

Template Riesel prime

Display of current data for Riesel primes, comments will be displayed as references at the bottom.

Prototype

{{Riesel prime
|Rk=
|RCount=
|RNash=
|RMaxn=
|RDate=
|RReserved=
|RMultiRes=
|RNlist=
|RRemarks=
|RSieve=
}}

Parameters

  • Rk: the k-value of k•2n-1
  • RCount: the number of n-values given
If no count is given, this will be automatically counted. If given and differs from automated value, a warning will be shown.
  • RNash: the Nash weight
  • RMaxn: highest n-value of continuous searched range (from n=1)
  • RDate: last date of edit (mostly latest history entry)
  • RReserved: person(s) who reserved this sequence (comma separated)
  • RMultiRes: number of Template:Multi Reservation: RMaxn and RDate will be taken from there
  • RNlist: list of every n-value (one per row) with comments
  • RRemarks: any helpful text or links for this sequence
  • RSieve: if set a zip-file can be uploaded (filename is given then) if not available; if exists file it's downloadable

Categories set

In case of the following conditions special categories will be set automatically:

The category Riesel prime is set by default.

See also

Example

{{Riesel prime
|Rk=19
|RCount=8
|RNash=2390
|RMaxn=20
|RDate=2019-03-01
|RReserved=Karsten Bonath,Euclid
|RMultiRes=
|RNlist=
2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1
3;T:SW;C:[[M2]], Woodall: 2*2^2-1
5;C:[[M3]], Near Woodall: (3+1)*2^3-1
7;C:[[M4]], Near Woodall: (5-1)*2^5-1
13;C:[[M5]]
17;C:[[M6]]
19;C:[[M7]], Near Woodall: (15+1)*2^15-1
4253;43912;C:[[M19]]
|RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s.
|RSieve=y
}}

will create:

Current data

k , b : 19 , {{{Rb}}} Upload me!
Count : 8
Nash : 2390
Max n : 20
Date : 2019-03-01
Reserved : Karsten Bonath, Euclid
2[1], 3[2], 5[3], 7[4], 13[5], 17[6], 19[7], 4253[8]
Remarks :
For this k-value theses are the Mersenne primes.

Notes

  1. S.G. n=2, Twin n=2, M1, Near Woodall: (1+1)*2^1-1
  2. S.G. n=3, Woodall, M2, Woodall: 2*2^2-1
  3. M3, Near Woodall: (3+1)*2^3-1
  4. M4, Near Woodall: (5-1)*2^5-1
  5. M5
  6. M6
  7. M7, Near Woodall: (15+1)*2^15-1
  8. M19