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

Helmut Ruhland

paper

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

arXiv:2607.04000

Abstract

In an article, S. Adlaj showed the construction of the $F_{4} = 65537$ -gon ( $F_{4}$ a Fermat prime). By extending the author's method to cases where the multiplicative group is not of order $2^{n}$ but has an additional prime factor, I here construct the $641$ -gon. $641$ is the smaller prime factor of the composite Fermat number $F_{5} = 2^{2^{5}} + 1$ .

arXiv comment9 pages

Constructing the 225+1=F5​-gon, the first step: the 641-gon

Abstract

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