65537

This number is a prime.

Single Curio View:   (Seek other curios for this number)
Just a small proportion of regular polygons (n-gons) can be constructed with compass and straightedge. Gauss proved that if n is a Fermat prime, then it is possible to construct an n-gon. Wantzel later proved this condition was also necessary (for prime n-gons), so the 65537-gon is currently the largest known constructible prime n-gon. It took Hermes 10 years and a 200-page manuscript to write down a procedure for its construction. Would you like to attempt it?

Submitted: 1999-09-02 18:40:00;   Last Modified: 2009-08-15 07:10:10.
Printed from the PrimePages <primes.utm.edu> © G. L. Honaker and Chris K. Caldwell