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Difference between revisions of "Template:Riesel prime"
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-->{{#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}}]]}}<!-- | ||
-->}}<!-- | -->}}<!-- | ||
| − | |||
| − | |||
| − | |||
| − | |||
-->{{#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}}]]}}}}<!-- | ||
Revision as of 09:42, 10 August 2021
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):
- If Nash-weight < 1000 → category Riesel Low weight is set
- If there are 100 n-values or more → category Riesel Count 100 is set
- If RCount=0 → category Riesel Count 0 is set
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
|
|
Remarks : |
For this k-value theses are the Mersenne primes. |
