Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Saouter number

From Prime-Wiki
Jump to: navigation, search

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].

References