| Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
Navigation
| Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Difference between revisions of "Template:Generalized Fermat number"
m |
(data from GF Disvisors) |
||
| Line 32: | Line 32: | ||
|GFNDigits=1234 | |GFNDigits=1234 | ||
|GFNFactors= | |GFNFactors= | ||
| − | 7,14 | + | 3,41 |
| − | 17353230210429594579133099699123162989482444520899,15 | + | 7,14 |
| + | 17353230210429594579133099699123162989482444520899,15 | ||
C1133,1100000000212123761 | C1133,1100000000212123761 | ||
P345,1100000000212123762 | P345,1100000000212123762 | ||
| Line 48: | Line 49: | ||
|GFNDigits=1234 | |GFNDigits=1234 | ||
|GFNFactors= | |GFNFactors= | ||
| − | 7,14 | + | 3,41 |
| − | 17353230210429594579133099699123162989482444520899,15 | + | 7,14 |
| + | 17353230210429594579133099699123162989482444520899,15 | ||
C1133,1100000000212123761 | C1133,1100000000212123761 | ||
P345,1100000000212123762 | P345,1100000000212123762 | ||
| Line 87: | Line 89: | ||
}} | }} | ||
==Factors== | ==Factors== | ||
| − | {{#arraydefine: | + | {{#arraydefine:GFNlist|{{{GFNFactors}}}|/\n/}}{{#loop:i|0|{{#arraysize:GFNlist}} |
|<nowiki /> | |<nowiki /> | ||
| − | *{{#vardefine:k|{{#explode:{{#arrayindex: | + | *{{#vardefine:k|{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|0}}}}<!-- |
| − | -->{{#vardefine:n|{{#explode:{{#explode:{{#arrayindex: | + | -->{{#vardefine:n|{{#explode:{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|1}}|#|0}}}}<!-- |
| − | -->{{#vardefine:dat| | + | -->{{#vardefine:dat|}}<!-- |
-->{{#switch:{{#sub:{{#var:k}}|0|1}} | -->{{#switch:{{#sub:{{#var:k}}|0|1}} | ||
|C=Composite {{#if:{{#var:n}}|[http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]|{{#var:k}}}} | |C=Composite {{#if:{{#var:n}}|[http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]|{{#var:k}}}} | ||
|P=Prime {{#if:{{#var:n}}|[http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]|{{#var:k}}}} | |P=Prime {{#if:{{#var:n}}|[http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]|{{#var:k}}}} | ||
| − | |#default={{NPr|{{#var:k}}|{{#var:n}}}} | + | |#default={{NPr|{{#var:k}}|{{#var:n}}}} ([[GF Divisor {{#var:k}} {{#var:n}}|GF Divisor]]){{#ifexist:GF Divisor {{#var:k}} {{#var:n}}|{{#vardefine:dat|{{GFDivisor get disc|GF Divisor {{#var:k}} {{#var:n}}|{{{GFNa}}},{{{GFNb}}},}}}}}} |
}}<!-- | }}<!-- | ||
| − | -->{{#if:{{#var:dat}}|, found {{#var:dat}} by }}{{#arraydefine:disc|{{#explode: | + | -->{{#if:{{#var:dat}}|, found {{#explode:{{#var:dat}}| |0}} by }}{{#arraydefine:disc|{{#explode:{{#var:dat}}| |1}}|/;/}}{{#arrayprint:disc|, |@@@|[[@@@]]}}<!-- |
-->{{#ifeq:{{NAMESPACENUMBER}}|0|[[Category:Generalized Fermat number {{{GFNa}}} {{{GFNb}}}]]}} | -->{{#ifeq:{{NAMESPACENUMBER}}|0|[[Category:Generalized Fermat number {{{GFNa}}} {{{GFNb}}}]]}} | ||
}}</includeonly> | }}</includeonly> | ||
Revision as of 10:54, 22 June 2021
Description
Template Generalized Fermat number
Collect the data of a Generalized Fermat number (for b=1 this is a Fermat number).
Prototype
{{Generalized Fermat number
|GFNa=
|GFNb=
|GFNn=
|GFNFDBid=
|GFNDigits=
|GFNFactors=
|GFNState=
|GFNRemarks=
}}
Parameters
See also
Example
{{Generalized Fermat number
|GFNa=2
|GFNb=1
|GFNn=207
|GFNFDBid=1000000000002000017
|GFNDigits=1234
|GFNFactors=
3,41
7,14
17353230210429594579133099699123162989482444520899,15
C1133,1100000000212123761
P345,1100000000212123762
|GFNState=Composite
|GFNRemarks=test
}}
will create:
Current data
|
Remarks : |
test |
Factors
- Proth 3•241+1 (GF Divisor), found 1903 by James Cullen, Allan Cunningham, Alfred Edward Western
- Proth 7•214+1 (GF Divisor), found 1877 by Ivan Mikheevich Pervushin, Édouard Lucas
- Proth 17353230210429594579133099699123162989482444520899•215+1 (GF Divisor)17353230210429594579133099699123162989482444520899
- Composite C<1133>
- Prime P<345>
Factorization
6597069766657<13> * 114689 * 17353230210429594579133099699123162989482444520899 * C<1133> * P<345>
