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# Template:DGF

## Purpose

Displays a short form of a Generalized Fermat number of the form a^{2n} + b^{2n} (if b=1 : a^{2n} + 1) with link to the page.

## Usage

This template uses one to three unnamed parameters which are defined as follows:

`{{DGF|<value>|<value>|<value>}}`

- one parameter: the
*n*-value is given and displays as Fermat number 2^{2n}+1: F(n) - two parameters: the
*a*- and*n*-values are given and display as Generalized Fermat number`a`^{2n}+1: GF(a,n) - three parameters: the
*a*-,*b*- and*n*-values given and display as Extended Generalized Fermat number a^{2n}+ b^{2n}: xGF(a,b,n)

## Examples

`{{DGF|123}}`

: F(123)`{{DGF|3|123}}`

: GF(3,123)`{{DGF|5|3|123}}`

: xGF(5,3,123)