Template:NGF

Purpose

Displays 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:

{{NGF|<value>|<value>|<value>}}

• one parameter: the n-value is given and displays as Fermat number 2²ⁿ+1
• two parameters: the a- and n-values are given and display as Generalized Fermat number a²ⁿ+1
• three parameters: the a-, b- and n-values given and display as Extended Generalized Fermat number a²ⁿ + b²ⁿ

Examples

• {{NGF|55}}: Fermat 2²⁵⁵+1
• {{NGF|2|55}}: Fermat 2²⁵⁵+1
• {{NGF|3|15}}: Gen. Fermat 3²¹⁵+1
• {{NGF|7|6|14}}: xGen. Fermat 7²¹⁴+6²¹⁴