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(show k,b and type in own lines)
(categorize for Riesel problem 4)
 
(3 intermediate revisions by the same user not shown)
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*If there are 100 {{Vn}}-values or more → category [[:Category:Riesel 2 Count-100|Riesel Count 100]] is set
 
*If there are 100 {{Vn}}-values or more → category [[:Category:Riesel 2 Count-100|Riesel Count 100]] is set
 
*If RCount=0 → category [[:Category:Riesel 2 Count-0|Riesel Count 0]] is set
 
*If RCount=0 → category [[:Category:Riesel 2 Count-0|Riesel Count 0]] is set
 +
*According to the {{Vk}}-value the corresponding category is set to the [[:Category:Riesel_prime_conjectures|Riesel problem]].
  
 
The category [[:Category:Riesel prime|Riesel prime]] for base {{Vb}} is set by default.
 
The category [[:Category:Riesel prime|Riesel prime]] for base {{Vb}} is set by default.
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  {|  
 
  {|  
 
   | align="right"| <b>{{Vk}} , {{Vb}} :</b> || {{{Rk}}} , {{{Rb}}} {{#if:{{{RSieve|}}}|{{#ifexist:File:{{PAGENAME}} sieve.zip|&nbsp;([[:File:{{PAGENAME}} sieve.zip|sieve]])|[[File:{{PAGENAME}} sieve.zip|Upload me!]]}}}}
 
   | align="right"| <b>{{Vk}} , {{Vb}} :</b> || {{{Rk}}} , {{{Rb}}} {{#if:{{{RSieve|}}}|{{#ifexist:File:{{PAGENAME}} sieve.zip|&nbsp;([[:File:{{PAGENAME}} sieve.zip|sieve]])|[[File:{{PAGENAME}} sieve.zip|Upload me!]]}}}}
−
{{#ifeq:{{{Rb}}}|2|{{#if:{{{Rk|}}}|{{#ifeq:{{#var:_ris}}|0|{{#if:{{#pos:{{K-type|Riesel|{{{Rk}}}}}|center}}|
+
{{#ifeq:{{{Rb}}}|2|{{#if:{{{Rk|}}}|{{#ifeq:{{#var:_ris}}|0|{{#vardefine:ktype|{{K-type|Riesel|{{{Rk}}}}}}}{{#if:{{#pos:{{#var:ktype}}|center}}|
 
{{!}}-
 
{{!}}-
−
{{!}} align="right"{{!}} <b>Type :</b> {{!}}{{!}} {{K-type|Riesel|{{{Rk}}}}}
+
{{!}} align="right"{{!}} <b>Type :</b> {{!}}{{!}} {{#var:ktype}}
 
}}}}}}}}
 
}}}}}}}}
 
   |-
 
   |-
Line 157: Line 158:
 
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}<509203|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel 2 1Intervals‎{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}<!--
 
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}<509203|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel 2 1Intervals‎{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}<!--
 
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}>509203|{{#ifexpr:{{{Rk}}}<762701|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel 2 2Intervals{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}}}<!--
 
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}>509203|{{#ifexpr:{{{Rk}}}<762701|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel 2 2Intervals{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}}}<!--
 +
  -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}>762701|{{#ifexpr:{{{Rk}}}<777149|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel 2 3Intervals{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}}}<!--
 +
  -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}>777149|{{#ifexpr:{{{Rk}}}<790841|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel 2 4Intervals{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}}}<!--
 
   -->{{#ifexpr:{{{Rk}}} mod 3||{{#if:{{#pos:{{{RNlist}}}|T:S}}{{#pos:{{{RNlist}}}|T:CS}}||[[Category:Riesel 2 no-SG|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 
   -->{{#ifexpr:{{{Rk}}} mod 3||{{#if:{{#pos:{{{RNlist}}}|T:S}}{{#pos:{{{RNlist}}}|T:CS}}||[[Category:Riesel 2 no-SG|#.....{{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 2 no-twin|#.....{{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 2 no-twin|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} mod 3||[[Category:Riesel {{{Rb}}} 3k-value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} mod 15||[[Category:Riesel {{{Rb}}} 15k-value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel {{{Rb}}} 2145k-value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 +
  -->{{#ifexpr:{{{Rk}}} mod 2805||[[Category:Riesel {{{Rb}}} 2805k-value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
   -->}}<!--
 
   -->}}<!--
−
  -->{{#ifexpr:{{{Rk}}} mod 3||[[Category:Riesel {{{Rb}}} 3k-value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
−
  -->{{#ifexpr:{{{Rk}}} mod 15||[[Category:Riesel {{{Rb}}} 15k-value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
−
  -->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel {{{Rb}}} 2145k-value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
−
  -->{{#ifexpr:{{{Rk}}} mod 2805||[[Category:Riesel {{{Rb}}} 2805k-value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!--
 
  
 
   -->{{#ifeq:{{#var:_ris}}|0|{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel {{{Rb}}} Low-weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 
   -->{{#ifeq:{{#var:_ris}}|0|{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel {{{Rb}}} Low-weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--

Latest revision as of 11:05, 25 March 2024

Description

Template Riesel prime

Display of current data for Riesel primes k•bn-1, comments will be displayed as references at the bottom.

Prototype

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

Parameters

  • Rk: the k-value of k•bn-1
  • Rb: the b-value of k•bn-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
  • 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 is downloadable

Categories set

In case of the following conditions special categories will be set automatically (b = 2 only)::

  • If k-value is disvisible by 3 → category Riesel 3k is set
  • If k-value is disvisible by 15 → category Riesel 15k is set
  • If k-value is disvisible by 2145 → category Riesel 2145k is set
  • If k-value is disvisible by 2805 → category Riesel 2805k is set
  • If RCount=0 & RNash=0 & RMaxn=0 → category Riesel number is set

Any base (here given for base 2 only):

The category Riesel prime for base b is set by default.

See also

Example

{{Riesel prime
|Rk=15
|Rb=2
|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 {{Vk}}-value theses are the [[Mersenne prime]]s.
|RSieve=
}}

will create:

Current data

k , b : 15 , 2
Type : 315
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
  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
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