Template:Generalized Fermat number

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=
}}

Example

{{Generalized Fermat number
|GFNa=2
|GFNb=1
|GFNn=207
|GFNFDBid=1000000000002000017
|GFNDigits=1234
|GFNFactors=
7,14#1877#Ivan Pervushin;Édouard Lucas
17353230210429594579133099699123162989482444520899,15#2010-03-27#Michael Vang
C1133,1100000000212123761
P345,1100000000212123762
|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

• 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

114689 * 17353230210429594579133099699123162989482444520899 * C_<1133> * P_<345>