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Difference between revisions of "Template:Riesel prime"

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(2nd Riesel conj. ranges)
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   -->{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount}}}|0|{{#ifeq:{{#var:_ris}}|0|[[Category:Zero RCount|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}<!--
 
   -->{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount}}}|0|{{#ifeq:{{#var:_ris}}|0|[[Category:Zero RCount|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}<!--
 
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}<509203|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel prime riesel f{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}<!--
 
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}<509203|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel prime riesel f{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}<!--
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}>509203|{{#ifexpr:{{{Rk}}}<762701|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel prime riesel g{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}}}<!--
+
   -->{{#ifexist:{{PAGENAME}}|{{#ifexpr:{{{Rk}}}>509203|{{#ifexpr:{{{Rk}}}<762701|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|[[Category:Riesel prime 2nd f{{Exponent interval|{{GNn|{{PAGENAME}}|1}}}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}}}<!--
 
   -->{{#ifexist:{{PAGENAME}}|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|{{#ifexpr:{{GNn|{{PAGENAME}}|{{GP|{{PAGENAME}}|RCount}} }} > {{GP|{{PAGENAME}}|RMaxn}}|[[Category:Riesel prime missing range|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}<!--Exp err
 
   -->{{#ifexist:{{PAGENAME}}|{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>0|{{#ifexpr:{{GNn|{{PAGENAME}}|{{GP|{{PAGENAME}}|RCount}} }} > {{GP|{{PAGENAME}}|RMaxn}}|[[Category:Riesel prime missing range|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}}}}}<!--Exp err
 
   -->{{#ifexpr:{{{Rk}}} mod 3||{{#if:{{#pos:{{{RNlist}}}|T:S}}{{#pos:{{{RNlist}}}|T:CS}}||[[Category:Riesel prime without Sophie Germain|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--
 
   -->{{#ifexpr:{{{Rk}}} mod 3||{{#if:{{#pos:{{{RNlist}}}|T:S}}{{#pos:{{{RNlist}}}|T:CS}}||[[Category:Riesel prime without Sophie Germain|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!--

Revision as of 09:53, 11 May 2021

Description

Template Riesel prime

Display of current data for Riesel primes k•2n-1, comments will be displayed as references at the bottom.

Prototype

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

Parameters

  • Rk: the k-value of k•2n-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 (mostly latest history entry)
  • 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:

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
|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=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. S.G. n=2, Twin n=2, M1, Near Woodall: (1+1)*2^1-1
  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