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Difference between revisions of "Template:Riesel prime"
(Zero RCount) |
(criteria for Riesel number changed) |
||
| Line 36: | Line 36: | ||
==Categories set== | ==Categories set== | ||
In case of the following conditions special categories will be set automatically: | In case of the following conditions special categories will be set automatically: | ||
| − | *k-value is disvisible by 15 → category [[:Category:Riesel k=15k value|Riesel 15k]] is set | + | *If k-value is disvisible by 15 → category [[:Category:Riesel k=15k value|Riesel 15k]] is set |
| − | *k-value is disvisible by 2145 → category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set | + | *If k-value is disvisible by 2145 → category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set |
| − | *k-value is disvisible by 2805 → category [[:Category:Riesel k=2805k value|Riesel 2805k]] is set | + | *If k-value is disvisible by 2805 → category [[:Category:Riesel k=2805k value|Riesel 2805k]] is set |
| − | *Nash-weight < 1000 → category [[:Category:Riesel k=Low weight|Riesel Low weight]] is set | + | *If Nash-weight < 1000 → category [[:Category:Riesel k=Low weight|Riesel Low weight]] is set |
| − | * | + | *If there are 100 n-values or more → category [[:Category:Riesel count 100|Riesel count 100]] is set |
| − | * | + | *If RCount=0 → category [[:Category:Zero RCount|Zero RCount]] is set |
| + | *If RCount=0 & RNash=0 & RMaxn=0 → category [[:Category:Riesel k=Riesel|Riesel number]] is set | ||
The category [[:Category:Riesel prime|Riesel prime]] is set by default. | The category [[:Category:Riesel prime|Riesel prime]] is set by default. | ||
| Line 92: | Line 93: | ||
[[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}}|0|{{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]]}}<!-- | -->{{#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]]}}}}}} | + | -->{{#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]]}}}}<!-- |
| + | -->{{#vardefine:_ris|0}}{{#ifeq:{{{RCount}}}|0|{{#ifeq:{{{RNash}}}|0|{{#ifeq:{{{RMaxn}}}|0|{{#vardefine:_ris|1}}}}}}}}}} | ||
==Current data== | ==Current data== | ||
{| class="primedata" | {| class="primedata" | ||
| Line 114: | Line 116: | ||
}} | }} | ||
|} | |} | ||
| − | | | + | | {{#ifeq:{{#var:_ris}}|1|style="background-color:SkyBlue;"}} | {{#ifeq:{{#var:_ris}}|1|No primes possible!}} |
{| | {| | ||
| − | | {{NVal list|{{{RNlist}}}}} | + | | {{#if:{{{RNlist|}}}|{{NVal list|{{{RNlist}}}}}}} |
|} | |} | ||
|} | |} | ||
| Line 144: | Line 146: | ||
-->{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|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}}]]}}<!-- |
-->{{#ifexpr:{{#var:_cnt}}>99|[[Category:Riesel count 100|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | -->{{#ifexpr:{{#var:_cnt}}>99|[[Category:Riesel count 100|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | ||
-->{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount}}}|0|[[Category:Zero RCount|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | -->{{#if:{{{RCount|}}}|{{#ifeq:{{{RCount}}}|0|[[Category:Zero RCount|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | ||
Revision as of 09:06, 8 June 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=
}}
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: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
|
|
Remarks : |
For this k-value theses are the Mersenne primes. |
