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Difference between revisions of "Template:Riesel prime"

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m
(added RCount)
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{{Riesel prime
 
{{Riesel prime
 
|Rk=
 
|Rk=
 +
|RCount=
 
|RNash=
 
|RNash=
 
|RMaxn=
 
|RMaxn=
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{{Riesel prime
 
{{Riesel prime
 
|Rk=19
 
|Rk=19
 +
|RCount=
 
|RNash=2390
 
|RNash=2390
 
|RMaxn=20
 
|RMaxn=20
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{{Riesel prime
 
{{Riesel prime
 
|Rk=19
 
|Rk=19
 +
|RCount=3
 
|RNash=2390
 
|RNash=2390
 
|RMaxn=20
 
|RMaxn=20
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|RSieve=y
 
|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}}|10|{{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}}}}{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount|}}}|{{#var:_cnt}}||{{Alert|Attention!|Parameter RCount ({{{RCount}}}) differs from counting ({{#var:_cnt}}). Please adjust RCount.}}}}[[Category:Wrong RCount]]}}
 
==Current data==
 
==Current data==
 
{| class="primedata"
 
{| class="primedata"
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   | align="right"| <b>k-value :</b> || {{{Rk}}} {{#if:{{{RSieve|}}}|&nbsp;([[:File:{{PAGENAME}} sieve.zip|sieve]])|}} {{#if:{{{Rk|}}}|{{K-type|Riesel|{{{Rk}}}}}}}
 
   | align="right"| <b>k-value :</b> || {{{Rk}}} {{#if:{{{RSieve|}}}|&nbsp;([[:File:{{PAGENAME}} sieve.zip|sieve]])|}} {{#if:{{{Rk|}}}|{{K-type|Riesel|{{{Rk}}}}}}}
 
   |-
 
   |-
   | align="right"| <b>Count :</b> || {{#vardefine:_cnt|{{NVal list|{{{RNlist}}}|count}}}}{{#var:_cnt}}
+
   | align="right"| <b>Count :</b> || {{#if:{{{RCount|}}}|{{{RCount}}}|{{#var:_cnt}}}}
 
   |-
 
   |-
 
   | align="right"| <b>Nash :</b> || {{{RNash}}}
 
   | align="right"| <b>Nash :</b> || {{{RNash}}}

Revision as of 15:34, 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=
|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 :
Attention! Parameter RCount=3 differs from counting=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, 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