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Difference between revisions of "Template:Williams prime"
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Display of current data for Williams primes, comments will be displayed as references at the bottom. | Display of current data for Williams primes, comments will be displayed as references at the bottom. | ||
| − | == | + | The category [[:Category:Williams prime|Williams prime]] is set by default. |
| + | |||
| + | ==Prototype== | ||
<pre> | <pre> | ||
{{Williams prime | {{Williams prime | ||
| Line 14: | Line 16: | ||
|WiNlist= | |WiNlist= | ||
|WiRemarks= | |WiRemarks= | ||
| + | |WiSieve | ||
}} | }} | ||
</pre> | </pre> | ||
| − | |||
| − | |||
==Example== | ==Example== | ||
| Line 25: | Line 26: | ||
|WiMaxn=1000000 | |WiMaxn=1000000 | ||
|WiDate=2016 | |WiDate=2016 | ||
| − | |WiReserved= | + | |WiReserved=Karsten Bonath |
|WiNlist= | |WiNlist= | ||
1 | 1 | ||
| Line 35: | Line 36: | ||
93 | 93 | ||
|WiRemarks=These primes are [[Near-repdigit]] numbers; {{OEIS|l|A056725}} | |WiRemarks=These primes are [[Near-repdigit]] numbers; {{OEIS|l|A056725}} | ||
| + | |WiSieve= | ||
}} | }} | ||
</pre> | </pre> | ||
| Line 42: | Line 44: | ||
|WiMaxn=1000000 | |WiMaxn=1000000 | ||
|WiDate=2016 | |WiDate=2016 | ||
| − | |WiReserved= | + | |WiReserved=Karsten Bonath |
|WiNlist= | |WiNlist= | ||
1 | 1 | ||
| Line 52: | Line 54: | ||
93 | 93 | ||
|WiRemarks=These primes are [[Near-repdigit number]]s (8999...999); {{OEIS|l|A056725}} | |WiRemarks=These primes are [[Near-repdigit number]]s (8999...999); {{OEIS|l|A056725}} | ||
| + | |WiSieve= | ||
}} | }} | ||
| − | [[Category:Prime collections]] | + | [[Category:Prime collections]]</noinclude><includeonly>__NOTOC__{{#ifeq:{{NAMESPACENUMBER}}|0|<!-- |
| − | </noinclude><includeonly>{{#ifeq:{{NAMESPACENUMBER}}|0|{{#vardefine: | + | -->{{#vardefine:base|{{#explode:{{PAGENAME}}||-1}}}}<!-- |
| + | -->{{#vardefine:type|{{#explode:{{PAGENAME}}||-2}}}}<!-- | ||
| + | -->{{#vardefine:t1|{{#switch:{{#sub:{{#var:type}}|0|1}}|M=-|P=+}}}}<!-- | ||
| + | -->{{#vardefine:t2|{{#switch:{{#sub:{{#var:type}}|1|1}}|M=-|P=+}}}}<!-- | ||
| + | -->{{#ifeq:{{#var:t2}}|+|<!-- | ||
| + | -->{{DISPLAYTITLE:Williams primes of the form {{Kbn|+|{{#expr:{{#var:base}}{{#var:t1}}1}}|{{#var:base}}|n}}}}|<!-- | ||
| + | -->{{DISPLAYTITLE:Williams primes of the form {{Kbn|{{#expr:{{#var:base}}{{#var:t1}}1}}|{{#var:base}}|n}}}}}}<!-- | ||
| + | -->{{#if:{{{WiNlist|}}}||[[Category:Williams prime {{#var:type}} without|#.....{{padleft:{{#var:base}}|5}}]]}}<!-- | ||
| + | -->[[Category:Williams prime {{#var:type}}|#.....{{padleft:{{#var:base}}|5}}]]{{#if:{{{WiReserved|}}}|{{Reserved|{{{WiReserved}}}}}}}}} | ||
==Current data== | ==Current data== | ||
| − | {| | + | {| class="primedata" |
| − | | | + | | class="primetemplate color-PrimeTemplate" | |
{| | {| | ||
| − | | <b>Base :</b> || {{{WiBase}}} | + | | align="right" | <b>Base :</b> || {{{WiBase}}} {{#if:{{{WiSieve|}}}|{{#ifexist:File:{{PAGENAME}} sieve.zip| ([[:File:{{PAGENAME}} sieve.zip|sieve]])|[[File:{{PAGENAME}} sieve.zip|Upload me!]]}}}} |
|- | |- | ||
| − | | <b>Count :</b> || {{NVal list|{{{WiNlist}}}|count}} | + | | align="right" | <b>Count :</b> || {{#if:{{#pos:{{{WiRemarks|}}}|reuse}}|{{#arraydefine:L|{{{WiNlist}}}}}{{#arraysize:L}}|{{NVal list|{{{WiNlist}}}|count}}}} |
|- | |- | ||
| − | | <b>Max <i>n</i> :</b> || {{Num|{{{WiMaxn}}}}} | + | | align="right" | <b>Max <i>n</i> :</b> || {{Num|{{{WiMaxn}}}}} |
|- | |- | ||
| − | | <b>Date :</b> || {{{WiDate}}} | + | | align="right" | <b>Date :</b> || {{{WiDate}}} |
|- | |- | ||
{{#if:{{{WiReserved|}}}| | {{#if:{{{WiReserved|}}}| | ||
| − | {{!}} <b>Reserved :</b> {{!}}{{!}} | + | {{!}} align="right" {{!}} <b>Reserved :</b> {{!}}{{!}} {{Contribs|{{{WiReserved}}}}}{{#ifeq:{{NAMESPACENUMBER}}|0|<span style="display:none">[[{{{WiReserved}}}/Reserved]]</span>}} |
}} | }} | ||
|} | |} | ||
| − | + | | | |
| − | | | ||
{| | {| | ||
| {{NVal list|{{{WiNlist}}}}} | | {{NVal list|{{{WiNlist}}}}} | ||
|} | |} | ||
| − | |||
|}{{#if:{{{WiRemarks|}}}| | |}{{#if:{{{WiRemarks|}}}| | ||
{{{!}} | {{{!}} | ||
| − | {{!}} <div height="120%" | + | {{!}} <div height="120%" class="color-PrimeTemplate"><b>Remarks : </b></div> {{!}}{{!}} {{{WiRemarks}}} |
{{!}}} | {{!}}} | ||
}} | }} | ||
Latest revision as of 02:06, 17 May 2021
Description
Template Williams prime
Display of current data for Williams primes, comments will be displayed as references at the bottom.
The category Williams prime is set by default.
Prototype
{{Williams prime
|WiBase=
|WiMaxn=
|WiDate=
|WiReserved=
|WiNlist=
|WiRemarks=
|WiSieve
}}
Example
{{Williams prime
|WiBase=10
|WiMaxn=1000000
|WiDate=2016
|WiReserved=Karsten Bonath
|WiNlist=
1
3
7
19
29
37
93
|WiRemarks=These primes are [[Near-repdigit]] numbers; {{OEIS|l|A056725}}
|WiSieve=
}}
will create:
Current data
|
|
Remarks : |
These primes are Near-repdigit numbers (8999...999); sequence A056725 in OEIS |
