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Difference between revisions of "Template:GF Divisor"
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| Line 10: | Line 10: | ||
|GFk= | |GFk= | ||
|GFn= | |GFn= | ||
| − | | | + | |GFNumber= |
| − | | | + | |GFFDBid= |
|GFList= | |GFList= | ||
|GFRemarks= | |GFRemarks= | ||
| Line 18: | Line 18: | ||
==Parameters== | ==Parameters== | ||
| − | |||
==See also== | ==See also== | ||
| Line 27: | Line 26: | ||
|GFk=3 | |GFk=3 | ||
|GFn=209 | |GFn=209 | ||
| − | | | + | |GFNumber=2468256835981809063232453773836025757474103798450369795022913537 |
| − | | | + | |GFFDBid=1000000000002010233 |
|GFList= | |GFList= | ||
| − | 2,1,207 | + | 2,1,207#2020-11-11#Hans Riesel,Ray Ballinger,David Broadhurst,(bigger team) |
| − | 3,1,207 | + | 3,1,207#1995#Allan Cunningham |
3,2,207 | 3,2,207 | ||
|GFRemarks=test | |GFRemarks=test | ||
| Line 40: | Line 39: | ||
|GFk=3 | |GFk=3 | ||
|GFn=209 | |GFn=209 | ||
| − | | | + | |GFNumber=2468256835981809063232453773836025757474103798450369795022913537 |
| − | | | + | |GFFDBid=1000000000002010233 |
|GFList= | |GFList= | ||
| − | 2,1,207 | + | 2,1,207#2020-11-11#Hans Riesel,Ray Ballinger,David Broadhurst,(bigger team) |
| − | 3,1,207 | + | 3,1,207#1995#Allan Cunningham |
3,2,207 | 3,2,207 | ||
|GFRemarks=test | |GFRemarks=test | ||
}} | }} | ||
| − | [[Category:Prime collections]]</noinclude><includeonly>__NOTOC__{{#ifeq:{{NAMESPACENUMBER}}|0|{{DISPLAYTITLE:GF Divisor {{Kbn|+|{{#explode:{{PAGENAME}}||-2}}|{{#explode:{{PAGENAME}}||-1}}}}}}}} | + | [[Category:Prime collections]]</noinclude><includeonly>__NOTOC__{{#vardefine:ln|{{Is Long number|{{#explode:{{PAGENAME}}||-2}}}}}}{{#ifeq:{{NAMESPACENUMBER}}|0|{{#ifeq:{{#var:ln}}|1|{{DISPLAYTITLE:GF Divisor {{Long number:{{{GFk}}}-NS}}<sub><{{Long number:{{{GFk}}}-DI}}></sub>•2<sup>{{#explode:{{PAGENAME}}||-1}}</sup>+1|noerror}}|{{DISPLAYTITLE:GF Divisor {{Kbn|+|{{#explode:{{PAGENAME}}||-2}}|{{#explode:{{PAGENAME}}||-1}}}}|noerror}}}}}} |
==Current data== | ==Current data== | ||
{| class="primedata" | {| class="primedata" | ||
| − | | class="primetemplate" | | + | | class="primetemplate color-PrimeTemplate" | |
| − | {| | + | {| |
| − | | align="right"| <b>{{ | + | | align="right"| <b>Number :</b> || {{#ifeq:{{#var:ln}}|1|{{NPr|{{Long number:{{{GFk}}}-NS}}({{Long number:{{{GFk}}}-DI}})|{{{GFn}}}}} (→ [[:Long number:{{{GFk}}}|Long number]])|{{NPr|{{{GFk}}}|{{{GFn}}}}}}} |
|- | |- | ||
| − | + | {{#if:{{{GFNumber|}}}| | |
| − | + | {{!}} align="right"{{!}} <b>Decimals :</b> {{!}}{{!}} class="longline" {{!}}{{#ifeq:{{Is Long number|{{{GFNumber}}}}}|1|{{Long number:{{{GFNumber}}}-NS}}<sub><{{Long number:{{{GFNumber}}}-DI}}></sub> (→ [[:Long number:{{{GFNumber}}}|Long number]])|{{#ifeq:{{#sub:{{{GFNumber}}}|0|1}}|P|P<sub><{{#sub:{{{GFNumber}}}|1}}></sub>|{{{GFNumber}}}<sub><{{#len:{{{GFNumber}}}}}></sub>}}}} | |
| − | + | }} | |
|- | |- | ||
| + | {{#if:{{{GFFDBid|}}}| | ||
| + | {{!}} align="right"{{!}} <b>[[Factoring Database|FactorDB]] :</b> {{!}}{{!}} <b>ID:</b> [http://factordb.com/index.php?id={{{GFFDBid}}} {{{GFFDBid}}}] / <b>Formula:</b> {{#ifeq:{{#var:ln}}|0|[http://factordb.com/index.php?query={{{GFk}}}*2^{{{GFn}}}%2B1 {{{GFk}}}*2^{{{GFn}}}+1]|[http://factordb.com/index.php?query={{#replace:{{#replace:{{Long number:{{{GFk}}}-NL}}| |}}|\|}}*2^{{{GFn}}}%2B1 {{Long number:{{{GFk}}}-NS}}*2^{{{GFn}}}+1]}} | ||
| + | }} | ||
| + | <!-- |- | ||
{{#if:{{{GFDate|}}}| | {{#if:{{{GFDate|}}}| | ||
{{!}} align="right"{{!}} <b>Date :</b> {{!}}{{!}} {{{GFDate}}} | {{!}} align="right"{{!}} <b>Date :</b> {{!}}{{!}} {{{GFDate}}} | ||
| Line 65: | Line 68: | ||
{{#if:{{{GFDiscoverer|}}}| | {{#if:{{{GFDiscoverer|}}}| | ||
{{!}} align="right"{{!}} <b>Discoverer :</b> {{!}}{{!}} {{Contribs|{{{GFDiscoverer}}}}} | {{!}} align="right"{{!}} <b>Discoverer :</b> {{!}}{{!}} {{Contribs|{{{GFDiscoverer}}}}} | ||
| − | }} | + | }}--> |
|} | |} | ||
|} | |} | ||
| Line 76: | Line 79: | ||
{{#arraydefine:list|{{{GFList}}}|/\n/}}{{#loop:i|0|{{#arraysize:list}} | {{#arraydefine:list|{{{GFList}}}|/\n/}}{{#loop:i|0|{{#arraysize:list}} | ||
|<nowiki /> | |<nowiki /> | ||
| − | *{{#vardefine:a|{{#explode:{{#arrayindex:list|{{#var:i}}}}|,| | + | *{{#vardefine:a|{{#explode:{{#arrayindex:list|{{#var:i}}}}|,|0}}}}<!-- |
| + | -->{{#vardefine:b|{{#explode:{{#arrayindex:list|{{#var:i}}}}|,|1}}}}<!-- | ||
| + | -->{{#vardefine:m|{{#explode:{{#explode:{{#arrayindex:list|{{#var:i}}}}|,|2}}|#|0}}}}<!-- | ||
| + | -->{{#vardefine:dat|{{#explode:{{#arrayindex:list|{{#var:i}}}}|#|1}}}}<!-- | ||
| + | -->{{#ifeq:{{#var:a}}|2|{{#ifeq:{{#var:b}}|1|{{DGF|{{#var:m}}}}|{{DGF|{{#var:m}}|{{#var:a}}|{{#var:b}}}}}}|{{#ifeq:{{#var:b}}|1|{{DGF|{{#var:m}}|{{#var:a}}}}|{{DGF|{{#var:m}}|{{#var:a}}|{{#var:b}}}}}}}}<!-- | ||
| + | -->{{#if:{{#var:dat}}|, found {{#var:dat}} by }}{{Contribs|{{#explode:{{#arrayindex:list|{{#var:i}}}}|#|2}}}}<!-- | ||
| + | -->{{#ifeq:{{NAMESPACENUMBER}}|0|[[Category:GF Divisors|#.....{{padleft:{{GetLength|{{PAGENAME}}}}|5|0}}]][[Category:Generalized Fermat number {{#var:a}} {{#var:b}} Divs|#.....{{padleft:{{GetLength|{{PAGENAME}}}}|5|0}}]][[Category:Generalized Fermat number diffs {{#var:a}} {{#var:b}} {{#expr:{{{GFn}}}-{{#var:m}}}}|#.....{{padleft:{{GetLength|{{PAGENAME}}}}|5|0}}]]}} | ||
}} | }} | ||
| − | |||
| − | |||
| − | |||
</includeonly> | </includeonly> | ||
Latest revision as of 09:55, 16 September 2021
Description
Template GF Divisor
Collect the Generalized Fermat numbers for which a given Proth prime is a divisor.
Prototype
{{GF Divisor
|GFk=
|GFn=
|GFNumber=
|GFFDBid=
|GFList=
|GFRemarks=
}}
Parameters
See also
Example
{{GF Divisor
|GFk=3
|GFn=209
|GFNumber=2468256835981809063232453773836025757474103798450369795022913537
|GFFDBid=1000000000002010233
|GFList=
2,1,207#2020-11-11#Hans Riesel,Ray Ballinger,David Broadhurst,(bigger team)
3,1,207#1995#Allan Cunningham
3,2,207
|GFRemarks=test
}}
will create:
Current data
|
Remarks : |
test |
Divides
- F(207), found 2020-11-11 by Hans Riesel, Ray Ballinger, David Broadhurst, (bigger team)
- GF(207,3), found 1995 by Allan Cunningham
- xGF(207,3,2)
