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Difference between revisions of "Template:Riesel prime"

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(cats. for no SG/twin)
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==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 → category [[:Category:Riesel k=3k value|Riesel 3k]] is set
 
*If k-value is disvisible by 15 → category [[:Category:Riesel k=15k value|Riesel 15k]] is set
 
*If k-value is disvisible by 15 → category [[:Category:Riesel k=15k value|Riesel 15k]] is set
 
*If k-value is disvisible by 2145 → category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set
 
*If k-value is disvisible by 2145 → 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
Line 79: Line 81:
 
|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}}}}}
Line 141: Line 144:
 
   -->{{#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}}]]}}<!--
Line 149: Line 153:
 
   -->{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>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}}]]}}}}<!--Exp err
+
   -->{{#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: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:CT}}{{#pos:{{{RNlist}}}|T:CST}}||[[Category:Riesel prime without twin|#.....{{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
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