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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
 
|Rk=
 
|Rk=
 +
|RCount=
 
|RNash=
 
|RNash=
 
|RMaxn=
 
|RMaxn=
Line 16: Line 17:
 
|RNlist=
 
|RNlist=
 
|RRemarks=
 
|RRemarks=
 +
|RSieve=
 
}}
 
}}
 
</pre>
 
</pre>
 +
 +
==Parameters==
 +
*'''Rk:''' the k-value of {{Kbn|k|2|n}}
 +
*'''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==
 
==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:
*k-value is disvisible by 15 &rarr; category [[:Category:Riesel k=15k value|Riesel 15k]] is set
+
*If k-value is disvisible by 3 &rarr; category [[:Category:Riesel k=3k value|Riesel 3k]] is set
*k-value is disvisible by 2145 &rarr; category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set
+
*If k-value is disvisible by 15 &rarr; category [[:Category:Riesel k=15k value|Riesel 15k]] is set
*k-value is disvisible by 2805 &rarr; category [[:Category:Riesel k=2805k value|Riesel 2805k]] is set
+
*If k-value is disvisible by 2145 &rarr; category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set
*Nash-weight < 1000 &rarr; category [[:Category:Riesel k=Low weight|Riesel Low weight]] is set
+
*If k-value is disvisible by 2805 &rarr; category [[:Category:Riesel k=2805k value|Riesel 2805k]] is set
*remarks contain "Riesel" &rarr; category [[:Category:Riesel k=Riesel|Riesel number]] is set
+
*If Nash-weight < 1000 &rarr; category [[:Category:Riesel k=Low weight|Riesel Low weight]] is set
 +
*If there are 100 n-values or more &rarr; category [[:Category:Riesel count 100|Riesel count 100]] is set
 +
*If RCount=0 &rarr; category [[:Category:Zero RCount|Zero RCount]] is set
 +
*If RCount=0 & RNash=0 & RMaxn=0 &rarr; category [[:Category:Riesel k=Riesel|Riesel number]] is set
  
 
The category [[:Category:Riesel prime|Riesel prime]] is set by default.
 
The category [[:Category:Riesel prime|Riesel prime]] is set by default.
Line 36: Line 54:
 
{{Riesel prime
 
{{Riesel prime
 
|Rk=19
 
|Rk=19
 +
|RCount=8
 
|RNash=2390
 
|RNash=2390
 
|RMaxn=20
 
|RMaxn=20
 
|RDate=2019-03-01
 
|RDate=2019-03-01
 
|RReserved=Karsten Bonath,Euclid
 
|RReserved=Karsten Bonath,Euclid
 +
|RMultiRes=
 
|RNlist=
 
|RNlist=
2;T:ST;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 50: Line 70:
 
4253;43912;C:[[M19]]
 
4253;43912;C:[[M19]]
 
|RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s.
 
|RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s.
 +
|RSieve=y
 
}}
 
}}
 
</pre>
 
</pre>
Line 55: Line 76:
 
{{Riesel prime
 
{{Riesel prime
 
|Rk=19
 
|Rk=19
 +
|RCount=8
 
|RNash=2390
 
|RNash=2390
 
|RMaxn=20
 
|RMaxn=20
 
|RDate=2019-03-01
 
|RDate=2019-03-01
 
|RReserved=Karsten Bonath,Euclid
 
|RReserved=Karsten Bonath,Euclid
 +
|RMultiRes=
 
|RNlist=
 
|RNlist=
2;T:ST;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 69: Line 92:
 
4253;43912;C:[[M19]]
 
4253;43912;C:[[M19]]
 
|RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s.
 
|RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s.
 +
|RSieve=y
 
}}
 
}}
[[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]]}}<!--
 +
-->{{#vardefine:_cnt|{{NVal list|{{{RNlist}}}|count}}}}<!--
 +
-->{{#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:{{{CKSieve|}}}|&nbsp;([[:File:{{PAGENAME}} sieve.zip|sieve]])|}}--> {{#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> || {{NVal list|{{{RNlist}}}|count}}
+
   | 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 92: Line 119:
 
   }}
 
   }}
 
  |}
 
  |}
|
+
| {{#ifeq:{{#var:_ris}}|1|style="background-color:SkyBlue;"}} | {{#ifeq:{{#var:_ris}}|1|No primes possible!}}
 
  {|  
 
  {|  
  | {{NVal list|{{{RNlist}}}}}
+
  | {{#if:{{{RNlist|}}}|{{NVal list|{{{RNlist}}}}}}}
 
  |}
 
  |}
 
|}
 
|}
Line 101: Line 128:
 
{{!}} <div height="120%" style="background-color:SkyBlue;"><b>Remarks : </b></div> {{!}}{{!}} {{{RRemarks}}}
 
{{!}} <div height="120%" style="background-color:SkyBlue;"><b>Remarks : </b></div> {{!}}{{!}} {{{RRemarks}}}
 
{{!}}}
 
{{!}}}
}}
+
}}{{#ifeq:{{NAMESPACENUMBER}}|0|<!--
{{#ifeq:{{NAMESPACENUMBER}}|0|<!--
+
   -->[[Category:Riesel prime|#.....{{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 2805||[[Category:Riesel k=2805k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
 
 
 
   -->{{#ifexpr:{{{Rk}}} < 300|[[Category:Riesel k=1-300|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifexpr:{{{Rk}}} < 300|[[Category:Riesel k=1-300|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifexpr:{{{Rk}}} > 300|{{#ifexpr:{{{Rk}}} < 2000|[[Category:Riesel k=300-2000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 
   -->{{#ifexpr:{{{Rk}}} > 300|{{#ifexpr:{{{Rk}}} < 2000|[[Category:Riesel k=300-2000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
Line 121: 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:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
+
   -->{{#ifexpr:{{{Rk}}} mod 3||[[Category:Riesel k=3k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
   -->{{#if:{{#pos:{{{RRemarks}}}|Riesel}}|[[Category:Riesel k=Riesel|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
+
  -->{{#ifexpr:{{{Rk}}} mod 15||[[Category:Riesel k=15k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
   -->[[Category:Riesel prime|#.....{{padleft:{{{Rk}}}|5|0}}]]<!--
+
  -->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel k=2145k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} mod 2805||[[Category:Riesel k=2805k value|#.....{{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}}]]}}<!--
 +
   -->{{#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}}]]}}}}}}<!--
 +
  -->{{#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