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Difference between revisions of "Template:Riesel prime"
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(new cat. k=3) |
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==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: | ||
+ | *If k-value is disvisible by 3 → category [[:Category:Riesel k=3k value|Riesel 3k]] is set | ||
*If 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 | ||
*If 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 | ||
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-->{{#ifexpr:{{{Rk}}} > 10000000000|[[Category:Riesel k=10e10-infinity|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | -->{{#ifexpr:{{{Rk}}} > 10000000000|[[Category:Riesel k=10e10-infinity|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | ||
+ | -->{{#ifexpr:{{{Rk}}} mod 3||[[Category:Riesel k=3k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | ||
-->{{#ifexpr:{{{Rk}}} mod 15||[[Category:Riesel k=15k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | -->{{#ifexpr:{{{Rk}}} mod 15||[[Category:Riesel k=15k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | ||
-->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel k=2145k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | -->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel k=2145k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- |
Revision as of 14:47, 9 July 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 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 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. |