Fermat primes from 1 to 10000

2^2^n + 1
Unsolved problem : Are there an infinite number of Fermat primes ?
Unsolved problem : Are there infinitely many composite Fermat numbers ?
Unsolved problem : Is Fn composite for all n > 4 ?
3
5
17
257
65537
Fermat numbers
3 = 220 + 1
prime number
5 = 221 + 1
prime number
17 = 222 + 1
prime number
257 = 223 + 1
prime number
65537 = 224 + 1
prime number
4294967297 = 225 + 1
= 641 * 6700417
18446744073709551617 = 226 + 1
= 274177 * 67280421310721
340282366920938463463374607431768211457 = 227 + 1
= 59649589127497217 * 5704689200685129054721