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Difference between revisions of "Template:Generalized Fermat number"
(shorter a b n) |
(Long number as k-value possible) |
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| Line 35: | Line 35: | ||
3,41 | 3,41 | ||
7,14 | 7,14 | ||
| − | + | N1100000000000108402,7 | |
P345 | P345 | ||
C1133,1100000000212123761 | C1133,1100000000212123761 | ||
| Line 53: | Line 53: | ||
3,41 | 3,41 | ||
7,14 | 7,14 | ||
| − | + | N1100000000000108402,7 | |
P345 | P345 | ||
C1133,1100000000212123761 | C1133,1100000000212123761 | ||
| Line 90: | Line 90: | ||
|<nowiki /> | |<nowiki /> | ||
*{{#vardefine:k|{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|0}}}}<!-- | *{{#vardefine:k|{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|0}}}}<!-- | ||
| + | -->{{#ifeq:{{Is Long number|{{#var:k}}}}|1|{{#vardefine:k|{{Long number:{{#var:k}}-NS}}}}}}<!-- | ||
-->{{#vardefine:n|{{#explode:{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|1}}|#|0}}}}<!-- | -->{{#vardefine:n|{{#explode:{{#explode:{{#arrayindex:GFNlist|{{#var:i}}}}|,|1}}|#|0}}}}<!-- | ||
-->{{#vardefine:dat|}}<!-- | -->{{#vardefine:dat|}}<!-- | ||
Revision as of 07:21, 30 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
N1100000000000108402,7
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 prime 2 Long number:N1100000000000108402-NS(Long number:N1100000000000108402-DI)|Proth Long number:N1100000000000108402-NS(Long number:N1100000000000108402-DI)•27+1]] ([[GF Divisor Long number:N1100000000000108402-NS(Long number:N1100000000000108402-DI) 7|GF Divisor]])Long number:N1100000000000108402-NS(Long number:N1100000000000108402-DI)
- Prime P<345>
- Composite C<1133>
Factorization
2 * 6597069766657<13> * 114689 * Long number:N1100000000000108402-NS(Long number:N1100000000000108402-DI) * P<345> * C<1133>
