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Difference between revisions of "Template:Riesel prime"
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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 | ||
|Rk= | |Rk= | ||
+ | |RCount= | ||
|RNash= | |RNash= | ||
|RMaxn= | |RMaxn= | ||
|RDate= | |RDate= | ||
|RReserved= | |RReserved= | ||
+ | |RMultiRes= | ||
|RNlist= | |RNlist= | ||
|RRemarks= | |RRemarks= | ||
+ | |RSieve= | ||
}} | }} | ||
</pre> | </pre> | ||
+ | |||
+ | ==Parameters== | ||
+ | *'''Rk:''' the k-value of {{Kbn|k|2|n}} | ||
+ | *'''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== | ==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 3 → category [[:Category:Riesel k=3k value|Riesel 3k]] is set |
− | *k-value is disvisible by 2145 → category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set | + | *If k-value is disvisible by 15 → category [[:Category:Riesel k=15k value|Riesel 15k]] is set |
− | *k-value is disvisible by 2805 → category [[:Category:Riesel k=2805k value|Riesel 2805k]] is set | + | *If k-value is disvisible by 2145 → category [[:Category:Riesel k=2145k value|Riesel 2145k]] is set |
− | *Nash-weight < 1000 → category [[:Category:Riesel k=Low weight|Riesel Low weight]] is set | + | *If k-value is disvisible by 2805 → category [[:Category:Riesel k=2805k value|Riesel 2805k]] 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. | ||
==See also== | ==See also== | ||
− | *[[:Template: | + | *[[:Template:K-type]] |
==Example== | ==Example== | ||
Line 35: | Line 54: | ||
{{Riesel prime | {{Riesel prime | ||
|Rk=19 | |Rk=19 | ||
+ | |RCount=8 | ||
|RNash=2390 | |RNash=2390 | ||
|RMaxn=20 | |RMaxn=20 | ||
|RDate=2019-03-01 | |RDate=2019-03-01 | ||
− | |RReserved= | + | |RReserved=Karsten Bonath,Euclid |
+ | |RMultiRes= | ||
|RNlist= | |RNlist= | ||
− | 2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1 | + | 2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1 |
3;T:SW;C:[[M2]], Woodall: 2*2^2-1 | 3;T:SW;C:[[M2]], Woodall: 2*2^2-1 | ||
5;C:[[M3]], Near Woodall: (3+1)*2^3-1 | 5;C:[[M3]], Near Woodall: (3+1)*2^3-1 | ||
Line 49: | Line 70: | ||
4253;43912;C:[[M19]] | 4253;43912;C:[[M19]] | ||
|RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s. | |RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s. | ||
+ | |RSieve=y | ||
}} | }} | ||
</pre> | </pre> | ||
Line 54: | Line 76: | ||
{{Riesel prime | {{Riesel prime | ||
|Rk=19 | |Rk=19 | ||
+ | |RCount=8 | ||
|RNash=2390 | |RNash=2390 | ||
|RMaxn=20 | |RMaxn=20 | ||
|RDate=2019-03-01 | |RDate=2019-03-01 | ||
− | |RReserved= | + | |RReserved=Karsten Bonath,Euclid |
+ | |RMultiRes= | ||
|RNlist= | |RNlist= | ||
− | 2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1 | + | 2;T:ST;C:'''[[M1]]''', Near Woodall: (1+1)*2^1-1 |
3;T:SW;C:[[M2]], Woodall: 2*2^2-1 | 3;T:SW;C:[[M2]], Woodall: 2*2^2-1 | ||
5;C:[[M3]], Near Woodall: (3+1)*2^3-1 | 5;C:[[M3]], Near Woodall: (3+1)*2^3-1 | ||
Line 68: | Line 92: | ||
4253;43912;C:[[M19]] | 4253;43912;C:[[M19]] | ||
|RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s. | |RRemarks=For this ''k''-value theses are the [[Mersenne prime]]s. | ||
+ | |RSieve=y | ||
}} | }} | ||
− | [[Category:Prime collections]] | + | [[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}}}}}}}}}<!-- |
− | </noinclude><includeonly>{{#ifeq:{{NAMESPACENUMBER}}|0|{{DISPLAYTITLE:Riesel primes of the form | + | -->{{#if:{{{RCount|}}}||[[Category:Missing RCount]]}}<!-- |
+ | -->{{#vardefine:_cnt|{{NVal list|{{{RNlist}}}|count}}}}<!-- | ||
+ | -->{{#vardefine:_ris|0}}{{#ifeq:{{{RCount}}}|0|{{#ifeq:{{{RNash}}}|0|{{#ifeq:{{{RMaxn}}}|0|{{#vardefine:_ris|1}}}}}}}}}}{{#ifeq:{{NAMESPACENUMBER}}|10|{{#vardefine:_cnt|8}}}} | ||
==Current data== | ==Current data== | ||
− | {| | + | {| class="primedata" |
− | | | + | | class="primetemplate" | |
{| | {| | ||
− | | align="right"| <b>k-value :</b> || {{{Rk}}} | + | | align="right"| <b>k-value :</b> || {{{Rk}}} {{#if:{{{RSieve|}}}|{{#ifexist:File:{{PAGENAME}} sieve.zip| ([[:File:{{PAGENAME}} sieve.zip|sieve]])|[[File:{{PAGENAME}} sieve.zip|Upload me!]]}}}} {{#if:{{{Rk|}}}|{{#ifeq:{{#var:_ris}}|0|{{K-type|Riesel|{{{Rk}}}}}}}}} |
|- | |- | ||
− | | align="right"| <b>Count :</b> || {{ | + | | align="right"| <b>Count :</b> || {{#if:{{{RCount|}}}|{{#ifeq:{{{RCount|}}}|{{#var:_cnt}}|{{{RCount}}}|{{Alert|Attention!|Parameter RCount={{{RCount}}} differs from counting={{#var:_cnt}}}}[[Category:Wrong RCount]]}}|{{Alert|Attention!|Parameter RCount={{#var:_cnt}} not given!}}}} |
|- | |- | ||
| align="right"| <b>Nash :</b> || {{{RNash}}} | | align="right"| <b>Nash :</b> || {{{RNash}}} | ||
|- | |- | ||
− | | align="right"| <b>Max <i>n</i> :</b> || {{Num|{{{RMaxn}}}}} | + | | align="right"| <b>Max <i>n</i> :</b> || {{#if:{{{RMultiRes|}}}|{{#if:{{{RMaxn|}}}|{{Num|{{{RMaxn}}}}} ({{Num|{{Multi Reservation:{{{RMultiRes}}}-NMax}}}})[[Category:Riesel prime missing range|#.....{{padleft:{{{Rk}}}|5|0}}]]|{{Num|{{Multi Reservation:{{{RMultiRes}}}-NMax}}}}}}|{{#if:{{{RMaxn|}}}|{{Num|{{{RMaxn}}}}}|{{Alert|Attention!|Parameter RMaxn not given!}}}}}} |
|- | |- | ||
− | | align="right"| <b>Date :</b> || {{{RDate}}} | + | | align="right"| <b>Date :</b> || {{#if:{{{RMultiRes|}}}|{{Multi Reservation:{{{RMultiRes}}}-Date}}|{{{RDate}}}}} |
|- | |- | ||
− | + | {{#if:{{{RMultiRes|}}}|{{#vardefine:_res|{{Multi Reservation:{{{RMultiRes}}}-Contributor}}}}|{{#if:{{{RReserved|}}}|{{#vardefine:_res|{{{RReserved}}}}}}}}}{{#if:{{#var:_res}}| | |
− | + | {{!}} align="right" {{!}} <b>Reserved :</b> {{!}}{{!}} {{Contribs|{{#var:_res}}}}{{#ifeq:{{NAMESPACENUMBER}}|0|{{#arraydefine:u|{{#var:_res}}}}{{#loop:i | |
+ | | 0 | ||
+ | | {{#arraysize:u}} | ||
+ | | <span style="display:none">[[{{#arrayindex:u|{{#var:i}}}}/Reserved]]</span>}}}} | ||
}} | }} | ||
|} | |} | ||
− | + | | {{#ifeq:{{#var:_ris}}|1|style="background-color:SkyBlue;"}} | {{#ifeq:{{#var:_ris}}|1|No primes possible!}} | |
− | | | ||
{| | {| | ||
− | | {{NVal list|{{{RNlist}}}}} | + | | {{#if:{{{RNlist|}}}|{{NVal list|{{{RNlist}}}}}}} |
|} | |} | ||
− | |||
|} | |} | ||
{{#if:{{{RRemarks|}}}| | {{#if:{{{RRemarks|}}}| | ||
Line 100: | Line 128: | ||
{{!}} <div height="120%" style="background-color:SkyBlue;"><b>Remarks : </b></div> {{!}}{{!}} {{{RRemarks}}} | {{!}} <div height="120%" style="background-color:SkyBlue;"><b>Remarks : </b></div> {{!}}{{!}} {{{RRemarks}}} | ||
{{!}}} | {{!}}} | ||
− | }} | + | }}{{#ifeq:{{NAMESPACENUMBER}}|0|<!-- |
− | {{#ifeq:{{NAMESPACENUMBER}}|0|<!-- | + | -->[[Category:Riesel prime|#.....{{padleft:{{{Rk}}}|5|0}}]]<!-- |
− | -->{{#ifexpr:{{{Rk}}} mod 15||[[Category:Riesel k=15k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | + | -->{{#ifexpr:{{{Rk}}} < 300|[[Category:Riesel k=1-300|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- |
− | -->{{#ifexpr:{{{Rk}}} mod 2145||[[Category:Riesel k=2145k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | + | -->{{#ifexpr:{{{Rk}}} > 300|{{#ifexpr:{{{Rk}}} < 2000|[[Category:Riesel k=300-2000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- |
− | -->{{#ifexpr:{{{Rk}}} mod 2805||[[Category:Riesel k=2805k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | + | -->{{#ifexpr:{{{Rk}}} > 2000|{{#ifexpr:{{{Rk}}} < 4000|[[Category:Riesel k=2000-4000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- |
− | -->{{#ifexpr:{{{RNash}}}<1000|[[Category:Riesel k=Low weight|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | + | -->{{#ifexpr:{{{Rk}}} > 4000|{{#ifexpr:{{{Rk}}} < 6000|[[Category:Riesel k=4000-6000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- |
− | -->{{#if:{{# | + | -->{{#ifexpr:{{{Rk}}} > 6000|{{#ifexpr:{{{Rk}}} < 8000|[[Category:Riesel k=6000-8000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- |
− | -->[[Category:Riesel prime|#.....{{padleft:{{{Rk}}}|5|0}}]]}} | + | -->{{#ifexpr:{{{Rk}}} > 8000|{{#ifexpr:{{{Rk}}} < 10000|[[Category:Riesel k=8000-10000|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- |
+ | -->{{#ifexpr:{{{Rk}}} > 10000|{{#ifexpr:{{{Rk}}} < 100000|[[Category:Riesel k=10e4-10e5|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | ||
+ | -->{{#ifexpr:{{{Rk}}} > 100000|{{#ifexpr:{{{Rk}}} < 1000000|[[Category:Riesel k=10e5-10e6|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | ||
+ | -->{{#ifexpr:{{{Rk}}} > 1000000|{{#ifexpr:{{{Rk}}} < 10000000|[[Category:Riesel k=10e6-10e7|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | ||
+ | -->{{#ifexpr:{{{Rk}}} > 10000000|{{#ifexpr:{{{Rk}}} < 100000000|[[Category:Riesel k=10e7-10e8|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | ||
+ | -->{{#ifexpr:{{{Rk}}} > 100000000|{{#ifexpr:{{{Rk}}} < 1000000000|[[Category:Riesel k=10e8-10e9|#.....{{padleft:{{{Rk}}}|5|0}}]]}}}}<!-- | ||
+ | -->{{#ifexpr:{{{Rk}}} > 1000000000|{{#ifexpr:{{{Rk}}} < 10000000000|[[Category:Riesel k=10e9-10e10|#.....{{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 2145||[[Category:Riesel k=2145k value|#.....{{padleft:{{{Rk}}}|5|0}}]]}}<!-- | ||
+ | -->{{#ifexpr:{{{Rk}}} mod 2805||[[Category:Riesel k=2805k value|#.....{{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}}]]}}<!-- | ||
+ | -->{{#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}}]]}}}}}}<!-- | ||
+ | -->{{#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}}|{{#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:T}}{{#pos:{{{RNlist}}}|T:ST}}{{#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:{{#pos:{{{RNlist}}}|:}}| | {{#if:{{#pos:{{{RNlist}}}|:}}| | ||
==Notes== | ==Notes== | ||
<references />}}</includeonly> | <references />}}</includeonly> |
Revision as of 14:52, 4 August 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 |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 ''k''-value theses are the [[Mersenne prime]]s. |RSieve=y }}
will create:
Current data
|
|
Remarks : |
For this k-value theses are the Mersenne primes. |