|
|
 |
| |
|
|
|
On Generalized Fermat Numbers 32n + 1 |
|
|
|
PP: 307-313 |
|
|
|
Author(s) |
|
|
|
Amin Witno,
|
|
|
|
Abstract |
|
|
| The Fermat numbers F(n) = 22n
+ 1 have been studied to great extents as far as
primality and factorization are concerned. The generalized Fermat numbers are those
of the form Fa(n) = a2n
+ 1, which raise similar interests when a is an even number.
If a is odd, of course, Fa(n) would be divisible by 2. In this paper, we investigate the
behaviour of the numbers En = F3(n)/2 and present an initial primality test for En
given that En−1 is known to be prime. Some ideas of research for future consideration
are suggested. |
|
|
|
|
|
|
|
