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 n- and a-values are given and display as Generalized Fermat number a²ⁿ+1: GF(n,a)
• three parameters: the n-, a- and b-values given and display as Extended Generalized Fermat number a²ⁿ + b²ⁿ: xGF(n,a,b)

Examples

• {{DGF|55}}: F(55)
• {{DGF|15|2}}: F(15)
• {{DGF|15|3}}: GF(15,3)
• {{DGF|14|7|6}}: xGF(14,7,6)