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Difference between revisions of "Template:Riesel prime"

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(MultiRes categorized)
(k-ranges categorized)
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   -->{{#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}}]]}}<!--
 
   -->{{#ifexpr:{{{Rk}}} mod 2805||[[Category:Riesel k=2805k 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|{{#ifexpr:{{{Rk}}} < 2000|[[Category:Riesel k=300-2000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} > 2000|{{#ifexpr:{{{Rk}}} < 4000|[[Category:Riesel k=2000-4000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} > 4000|{{#ifexpr:{{{Rk}}} < 6000|[[Category:Riesel k=4000-4000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} > 6000|{{#ifexpr:{{{Rk}}} < 8000|[[Category:Riesel k=6000-8000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} > 8000|{{#ifexpr:{{{Rk}}} < 10000|[[Category:Riesel k=8000-10000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} > 10000|{{#ifexpr:{{{Rk}}} < 100000|[[Category:Riesel k=10e4-10e5|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} > 100000|{{#ifexpr:{{{Rk}}} < 1000000|[[Category:Riesel k=10e5-10e6|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
 
   -->{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#if:{{#pos:{{{RRemarks}}}|Riesel}}|[[Category:Riesel k=Riesel|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->{{#if:{{#pos:{{{RRemarks}}}|Riesel}}|[[Category:Riesel k=Riesel|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--

Revision as of 09:12, 19 February 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=
|RNash=
|RMaxn=
|RDate=
|RReserved=
|RMultiRes=
|RNlist=
|RRemarks=
}}

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
|RNash=2390
|RMaxn=20
|RDate=2019-03-01
|RReserved=Karsten Bonath
|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 : Karsten Bonath
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, also (2-1)*2^2-1
  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