Template:DGF

Purpose

Displays a short form of a Generalized Fermat number of the form a²ⁿ + b²ⁿ (if b=1 : a²ⁿ + 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 2²ⁿ+1: F(n)
• two parameters: the a- and n-values are given and display as Generalized Fermat number a²ⁿ+1: GF(a,n)
• three parameters: the a-, b- and n-values given and display as Extended Generalized Fermat number a²ⁿ + b²ⁿ: xGF(a,b,n)

Examples

• {{DGF|123}}: F(123)
• {{DGF|3|123}}: GF(3,123)
• {{DGF|5|3|123}}: xGF(5,3,123)