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Difference between revisions of "Template:Generalized Fermat number"

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m
(factorization)
Line 35: Line 35:
 
7,14
 
7,14
 
17353230210429594579133099699123162989482444520899,15
 
17353230210429594579133099699123162989482444520899,15
 +
P345
 
C1133,1100000000212123761
 
C1133,1100000000212123761
P345,1100000000212123762
 
 
|GFNState=Composite
 
|GFNState=Composite
 
|GFNRemarks=test
 
|GFNRemarks=test
Line 52: Line 52:
 
7,14
 
7,14
 
17353230210429594579133099699123162989482444520899,15
 
17353230210429594579133099699123162989482444520899,15
 +
P345
 
C1133,1100000000212123761
 
C1133,1100000000212123761
P345,1100000000212123762
 
 
|GFNState=Composite
 
|GFNState=Composite
 
|GFNRemarks=test
 
|GFNRemarks=test
Line 89: Line 89:
 
}}
 
}}
 
==Factors==
 
==Factors==
{{#arraydefine:GFNlist|{{{GFNFactors}}}|/\n/}}{{#loop:i|0|{{#arraysize:GFNlist}}
+
{{#vardefine:facts|}}{{#arraydefine:GFNlist|{{{GFNFactors}}}|/\n/}}{{#loop:i|0|{{#arraysize:GFNlist}}
 
|<nowiki />
 
|<nowiki />
 
*{{#vardefine:k|{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|0}}}}<!--
 
*{{#vardefine:k|{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|0}}}}<!--
Line 95: Line 95:
 
-->{{#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}}]{{#vardefine:facts|{{#var:facts}} * [http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]}}|{{#var:k}}{{#vardefine:facts|{{#var:facts}} * {{#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}}]{{#vardefine:facts|{{#var:facts}} * [http://factordb.com/index.php?id={{#var:n}} {{#var:k}}]}}|{{#var:k}}{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}
|#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}}},}}}}}}
+
|#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}}},}}}}{{#vardefine:factn|{{GP|GF Divisor {{#var:k}} {{#var:n}}|GFNumber}}}}{{#if:{{#var:factn}}|{{#vardefine:facts|{{#var:facts}} * {{#var:factn}}}}}}}}
 
}}<!--
 
}}<!--
 
-->{{#if:{{#var:dat}}|, found {{#explode:{{#var:dat}}|&#32;|0}} by&#32;}}{{#arraydefine:disc|{{#explode:{{#var:dat}}|&#32;|1}}|/;/}}{{#arrayprint:disc|,&#32;|@@@|[[@@@]]}}<!--
 
-->{{#if:{{#var:dat}}|, found {{#explode:{{#var:dat}}|&#32;|0}} by&#32;}}{{#arraydefine:disc|{{#explode:{{#var:dat}}|&#32;|1}}|/;/}}{{#arrayprint:disc|,&#32;|@@@|[[@@@]]}}<!--
 
-->{{#ifeq:{{NAMESPACENUMBER}}|0|[[Category:Generalized Fermat number {{{GFNa}}} {{{GFNb}}}|#.....{{padleft:{{{GFNn}}}|5|0}}]]}}
 
-->{{#ifeq:{{NAMESPACENUMBER}}|0|[[Category:Generalized Fermat number {{{GFNa}}} {{{GFNb}}}|#.....{{padleft:{{{GFNn}}}|5|0}}]]}}
}}</includeonly>
+
}}
 +
==Factorization==
 +
{{#vardefine:facts|{{#sub:{{#var:facts}}|3}}}}{{#var:facts}}
 +
</includeonly>

Revision as of 20:30, 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
P345
C1133,1100000000212123761
|GFNState=Composite
|GFNRemarks=test
}}

will create:

Current data

a b n : 2 1 207
FactorDB : ID: 1000000000002000017 / Formula: 22207+1
Digits : 1234
State : ERR
Remarks :
test

Factors

Factorization

6597069766657<13> * 114689 * 17353230210429594579133099699123162989482444520899 * P<345> * C<1133>