| Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
Navigation
| Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Difference between revisions of "Template:Riesel prime"
m |
(cats. for no SG/twin) |
||
| Line 5: | Line 5: | ||
Display of current data for Riesel primes, comments will be displayed as references at the bottom. | Display of current data for Riesel primes, comments will be displayed as references at the bottom. | ||
| − | == | + | ==Prototype== |
<pre> | <pre> | ||
{{Riesel prime | {{Riesel prime | ||
| Line 147: | Line 147: | ||
-->{{#ifeq:{{#var:_ris}}|0|{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | -->{{#ifeq:{{#var:_ris}}|0|{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | ||
-->{{#ifeq:{{#var:_ris}}|1|[[Category:Riesel k=Riesel|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | -->{{#ifeq:{{#var:_ris}}|1|[[Category:Riesel k=Riesel|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | ||
| − | -->{{# | + | -->{{#if:{{{RCount|}}}|{{#ifexpr:{{{RCount}}}>99|[[Category:Riesel count 100|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- |
-->{{#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}}]]}}}}}}<!-- | ||
| − | -->{{#if:{{{RCount|}}}|{{#ifexpr:{{GNn|{{PAGENAME}}|{{GP|{{PAGENAME}}|RCount}} }} > {{GP|{{PAGENAME}}|RMaxn}}|[[Category:Riesel prime missing range|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | + | -->{{#if:{{{RCount|}}}|{{#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:T}}{{#pos:{{{RNlist}}}|T:CT}}{{#pos:{{{RNlist}}}|T:CST}}||[[Category:Riesel prime without twin|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | ||
-->{{#if:{{{RMultiRes|}}}|[[Category:{{Multi Reservation:{{{RMultiRes}}}-Name}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | -->{{#if:{{{RMultiRes|}}}|[[Category:{{Multi Reservation:{{{RMultiRes}}}-Name}}|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | ||
-->}} | -->}} | ||
Revision as of 09:23, 19 June 2020
Description
Template Riesel prime
Display of current data for Riesel primes, 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 it's downloadable
Categories set
In case of the following conditions special categories will be set automatically:
- 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 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 Zero RCount is set
- If RCount=0 & RNash=0 & RMaxn=0 → category Riesel number is set
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
|RNlist=
2;T:S;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
|
|
Remarks : |
For this k-value theses are the Mersenne primes. |
