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Difference between revisions of "Template:Generalized Fermat number"
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| − | [[Category:Prime collections]]</noinclude><includeonly>__NOTOC__{{#ifeq:{{NAMESPACENUMBER}}|0|{{#vardefine:Ta|{{#explode:{{PAGENAME}}||-3}}}}{{#vardefine:Tb|{{#explode:{{PAGENAME}}||-2}}}}{{#vardefine:Tn|{{#explode:{{PAGENAME}}||-1}}}}{{#ifeq:{{#var:Tb}}|1|{{#ifeq:{{#var:Ta}}|2|{{DISPLAYTITLE:Fermat | + | [[Category:Prime collections]]</noinclude><includeonly>__NOTOC__{{#ifeq:{{NAMESPACENUMBER}}|0|{{#vardefine:Ta|{{#explode:{{PAGENAME}}||-3}}}}{{#vardefine:Tb|{{#explode:{{PAGENAME}}||-2}}}}{{#vardefine:Tn|{{#explode:{{PAGENAME}}||-1}}}}{{#ifeq:{{#var:Tb}}|1|{{#ifeq:{{#var:Ta}}|2|{{DISPLAYTITLE:Fermat number 2<sup>2<sup>{{#var:Tn}}</sup></sup>+1}}|{{DISPLAYTITLE:Generalized Fermat number {{#var:Ta}}<sup>2<sup>{{#var:Tn}}</sup></sup>+1}}}}|{{DISPLAYTITLE:Generalized Fermat number {{#var:Ta}}<sup>2<sup>{{#var:Tn}}</sup></sup>+{{#var:Tb}}<sup>2<sup>{{#var:Tn}}</sup></sup>}}}}}} |
==Current data== | ==Current data== | ||
{| class="primedata" | {| class="primedata" | ||
Revision as of 22:06, 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=
2
3,41
7,14
17353230210429594579133099699123162989482444520899,15
P345
C1133,1100000000212123761
|GFNState=Composite
|GFNRemarks=test
}}
will create:
Current data
|
Remarks : |
test |
Factors
- 2
- 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
- Prime P<345>
- Composite C<1133>
Factorization
2 * 6597069766657<13> * 114689 * 17353230210429594579133099699123162989482444520899 * P<345> * C<1133>
