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Difference between revisions of "Template:Riesel prime"

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{{Riesel prime
 
{{Riesel prime
 
|Rk=19
 
|Rk=19
|RCount=
+
|RCount=8
 
|RNash=2390
 
|RNash=2390
 
|RMaxn=20
 
|RMaxn=20
Line 59: Line 59:
 
{{Riesel prime
 
{{Riesel prime
 
|Rk=19
 
|Rk=19
|RCount=
+
|RCount=8
 
|RNash=2390
 
|RNash=2390
 
|RMaxn=20
 
|RMaxn=20
Line 76: Line 76:
 
|RSieve=y
 
|RSieve=y
 
}}
 
}}
[[Category:Prime collections]]</noinclude><includeonly>__NOTOC__
+
[[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}}}}}}}}}<!--
{{#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}}}}{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount|}}}|{{#var:_cnt}}||{{Alert|Attention!|Parameter RCount ({{{RCount}}}) differs from counting ({{#var:_cnt}}). Please adjust RCount.}}[[Category:Wrong RCount]]}}}}}}
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{{!}} <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}}]]<!--
 
   -->[[Category:Riesel prime|#.....{{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}}]]}}}}<!--

Revision as of 20:51, 24 May 2020

Description

Template Riesel prime

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

Calling

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

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
|RNlist=
2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1, also (2-1)*2^2-1
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. Sophie Germain n=2, Twin n=2, M1, Near Woodall: (1+1)*2^1-1, also (2-1)*2^2-1
  2. Sophie Germain 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