Note on the Fascinating Fermat Numbers
A Fermat number is an integer of the form
n ≥ 0
The Fermat numbers are named after the French mathematician Pierre de Fermat (1601 – 1665) who first studied numbers of such form.
In this paper we investigated some interesting properties of the Fermat numbers.
The first five Fermat numbers are 1,5,17,257 and 65537.
The Main Results
The following two theorems deal with the recursive properties of the Fermat Numbers.
2. Dodge, C. W. (1975). Numbers and mathematics. Boston, Massachusetts: Prindle, Weber
& Schmidt Inc..
3. Dudley, Underwood (1969). Elementary number theory. San Francisco: W. H. Freeman
4. Jackson, T. H. (1975). Number theory. Boston, Massachusetts: Rouledge & Kegan Paul
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere. Author(s) agree to the terms that the IJRDO Journal will have the full right to remove the published article on any misconduct found in the published article.