Fermat primes are Fermat numbers that are also prime numbers. A Fermat number has the following properties: Fn = 2(2^n) + 1.
All the Fermat primes[]
Note that 65537 (F5) is the largest known Fermat prime, being 216 + 1. The next Fermat number (F6), 232 + 1 = 4294967297, is divisible by 641 and 6700471.
All the Fermat primes[]
Fermat primes are related to constructible polygons- regular polygons which one can construct using only a straightedge and circles. Polygons can be constructed if the number of sides' prime factors are either powers of two or powers of Fermat primes