Constructing the $\mathbf{2^{2^5} + 1 = F_5}$-gon: the first step, the 641-gon

Abstract

In an article S. Adlaj showed the construction of the $F_4 = 65\,537$-gon ($F_4$ a Fermat prime). Extending the authors method to cases, where the multiplicative group is not of order $2^n$, but has an additional prime factor, here the $641$-gon ist constructed. $641$ is the smaller prime factor of the composite Fermat number $F_5 = 2^{2^5} + 1$.