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Difference between revisions of "Template:GFN factorization"
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<nowiki>{{GFN factorization|Generalized Fermat number 2 1 7}}</nowiki> gives | <nowiki>{{GFN factorization|Generalized Fermat number 2 1 7}}</nowiki> gives | ||
:{{GFN factorization|Generalized Fermat number 2 1 7}} | :{{GFN factorization|Generalized Fermat number 2 1 7}} | ||
| − | |||
[[Category:Prime collections]]</noinclude><includeonly>{{#vardefine:facts|}}{{#arraydefine:GFNlist|{{GP|{{{1}}}|GFNFactors}}|/\n/}}{{#loop:i|0|{{#arraysize:GFNlist}} | [[Category:Prime collections]]</noinclude><includeonly>{{#vardefine:facts|}}{{#arraydefine:GFNlist|{{GP|{{{1}}}|GFNFactors}}|/\n/}}{{#loop:i|0|{{#arraysize:GFNlist}} | ||
|<nowiki /> | |<nowiki /> | ||
| Line 16: | Line 15: | ||
-->{{#vardefine:n|{{#explode:{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|1}}|#|0}}}}<!-- | -->{{#vardefine:n|{{#explode:{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|1}}|#|0}}}}<!-- | ||
-->{{#switch:{{#sub:{{#var:k}}|0|1}} | -->{{#switch:{{#sub:{{#var:k}}|0|1}} | ||
| − | |C|P={{#if:{{#var:n}}|{{#vardefine:facts|{{#var:facts}} * | + | |C|P={{#vardefine:digits|{{#sub:{{#var:k}}|1}}}}{{#if:{{#var:n}}|{{#vardefine:facts|{{#var:facts}} * {{#sub:{{#var:k}}|0|1}}<sub><{{#var:digits}}></sub>}}|{{#vardefine:facts|{{#var:facts}} * {{#sub:{{#var:k}}|0|1}}<sub><{{#var:digits}}></sub>}}}} |
| − | |N={{#ifexist:GF Divisor {{Long number:{{#var:k}}-NS}} {{#var:n}}|{{#vardefine:factn|{{GP|GF Divisor {{Long number:{{#var:k}}-NS}} {{#var:n}}|GFNumber}}}}{{#vardefine:facts|{{#var:facts}} * {{Long number:{{#var:factn}}-NL}}<sub><{{Long number:{{#var:factn}}-DI}}></sub>}}}} | + | |N={{#ifexist:GF Divisor {{Long number:{{#var:k}}-NS}} {{#var:n}}|{{#vardefine:factn|{{GP|GF Divisor {{Long number:{{#var:k}}-NS}} {{#var:n}}|GFNumber}}}}{{#vardefine:facts|{{#var:facts}} * {{#ifeq:{{#sub:{{#var:factn}}|0|1}}|N|{{Long number:{{#var:factn}}-NL}}<sub><{{Long number:{{#var:factn}}-DI}}></sub>|{{#var:factn}}<sub><{{#len:{{#var:factn}}}}></sub>}}}} |
| + | }} | ||
|#default={{#if:{{#var:n}}|{{#ifexist:GF Divisor {{#var:k}} {{#var:n}}|{{#vardefine:factn|{{GP|GF Divisor {{#var:k}} {{#var:n}}|GFNumber}}}}{{#if:{{#var:factn}}|{{#ifeq:{{#sub:{{#var:factn}}|0|1}}|P|{{#vardefine:facts|{{#var:facts}} * P<sub><{{#sub:{{#var:factn}}|1}}></sub>}}|{{#vardefine:facts|{{#var:facts}} * {{#ifeq:{{#sub:{{#var:factn}}|0|1}}|N|{{Long number:{{#var:factn}}-NL}}|{{#var:factn}}}}{{#ifexpr:{{#len:{{#var:factn}}}}>9|<sub><{{#ifeq:{{#sub:{{#var:factn}}|0|1}}|N|{{Long number:{{#var:factn}}-DI}}|{{#len:{{#var:factn}}}}}}></sub>}}}}}}}}|{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}|{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}}}}}{{#vardefine:facts|{{#sub:{{#var:facts}}|2}}}}{{#var:facts}}</includeonly> | |#default={{#if:{{#var:n}}|{{#ifexist:GF Divisor {{#var:k}} {{#var:n}}|{{#vardefine:factn|{{GP|GF Divisor {{#var:k}} {{#var:n}}|GFNumber}}}}{{#if:{{#var:factn}}|{{#ifeq:{{#sub:{{#var:factn}}|0|1}}|P|{{#vardefine:facts|{{#var:facts}} * P<sub><{{#sub:{{#var:factn}}|1}}></sub>}}|{{#vardefine:facts|{{#var:facts}} * {{#ifeq:{{#sub:{{#var:factn}}|0|1}}|N|{{Long number:{{#var:factn}}-NL}}|{{#var:factn}}}}{{#ifexpr:{{#len:{{#var:factn}}}}>9|<sub><{{#ifeq:{{#sub:{{#var:factn}}|0|1}}|N|{{Long number:{{#var:factn}}-DI}}|{{#len:{{#var:factn}}}}}}></sub>}}}}}}}}|{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}|{{#vardefine:facts|{{#var:facts}} * {{#var:k}}}}}}}}}}{{#vardefine:facts|{{#sub:{{#var:facts}}|2}}}}{{#var:facts}}</includeonly> | ||
Latest revision as of 17:35, 19 August 2021
Purpose
Explanations
Example
{{GFN factorization|Generalized Fermat number 2 1 38}} gives
- 6597069766657<13> * 2917004348489729<16>
{{GFN factorization|Generalized Fermat number 2 1 7}} gives
- 59649589127497217<17> * 5704689200685129054721<22>
