# Saouter number

A **Saouter number** is a type of Generalized Fermat number. Numbers of this type have the form

[math]A_n = 4^{3^n}+2^{3^n}+1[/math]

In the notation of John Cosgrave, the Saouter numbers are generated by the sequence [math]F_{n,2}[/math]. Due to this, these numbers share similar properties to those held by Fermat numbers. These numbers were named by Tony Reix^{[1]}^{[2]} after Yannick Saouter, who studied these numbers^{[3]}.