The high-degree polynomial $x^{65537}-1$ is interesting because its nontrivial roots can be expressed in terms of square roots, and thus (in principle) the regular 65537-gon is constructible by ruler and compass. The roots, however, occupy several megabytes when written out in full.

The high-degree polynomial $x^{65537}-1$ is interesting because its nontrivial roots can be expressed in terms of square roots, and thus (in principle) the regular 65537-gon is constructible by ruler and compass. It is the largest known constructible $n$-gon with a prime number of sides. The roots, however, occupy several megabytes when written out in full.