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# Saouter number

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

[math]\displaystyle{ 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]\displaystyle{ 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]}.