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Difference between revisions of "Template:Riesel prime"

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(category Riesel + explanations)
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}}
 
}}
 
</pre>
 
</pre>
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==Categories set==
 +
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
 +
*k-value is disvisible by 2145 &rarr; category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set
 +
*k-value is disvisible by 2805 &rarr; category [[:Category:Riesel k=2805k value|Riesel 2805k]] is set
 +
*Nash-weight < 1000 &rarr; category [[:Category:Riesel k=Low weight|Riesel Low weight]] is set
 +
*remarks contain "Riesel" &rarr; category [[:Category:Riesel k=Riesel|Riesel number]] is set
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 +
==See also==
 +
*[[:Template:Riesel k-type]]
  
 
==Example==
 
==Example==
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-->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel k=2145k value|#..........{{padleft:{{#explode:{{{Rk}}}||0}}|10|0}}]]}}<!--
 
-->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel k=2145k value|#..........{{padleft:{{#explode:{{{Rk}}}||0}}|10|0}}]]}}<!--
 
-->{{#ifexpr:{{{Rk}}} mod 2805||[[Category:Riesel k=2805k value|#..........{{padleft:{{#explode:{{{Rk}}}||0}}|10|0}}]]}}<!--
 
-->{{#ifexpr:{{{Rk}}} mod 2805||[[Category:Riesel k=2805k value|#..........{{padleft:{{#explode:{{{Rk}}}||0}}|10|0}}]]}}<!--
-->{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#..........{{padleft:{{#explode:{{{Rk}}}||0}}|10|0}}]]}}
+
-->{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#..........{{padleft:{{#explode:{{{Rk}}}||0}}|10|0}}]]}}<!--
 +
-->{{#if:{{#pos:{{{RRemarks}}}|Riesel}}|[[Category:Riesel k=Riesel|#..........{{padleft:{{#explode:{{{Rk}}}||0}}|10|0}}]]}}
 
{{#if:{{#pos:{{{RNlist}}}|:}}|
 
{{#if:{{#pos:{{{RNlist}}}|:}}|
 
==Notes==
 
==Notes==
 
<references />}}</includeonly>
 
<references />}}</includeonly>

Revision as of 10:49, 29 March 2019

Description

Template Riesel prime

Display of current data for Riesel primes.

Calling

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

Categories set

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

See also

Example

{{Riesel prime
|Rk=19
|RNash=2390
|RMaxn=20
|RDate=2019-03-01
|RReserved=Karbon
|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.
}}

will create:

Current data

k , b : 19 , {{{Rb}}}
Count :
Attention! Parameter RCount=8 not given!
Nash : 2390
Max n : 20
Date : 2019-03-01
Reserved : Karbon
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