Note on the Fascinating Fermat Numbers

  • Lemma, Mulatu Savannah State University
  • Noel Mengistie
  • Samera Mulatu
Keywords: Note on the Fascinating, Fermat Numbers

Abstract

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.

Author Biographies

Lemma, Mulatu, Savannah State University

Distingushed Professor and Chair of Mathematics

CASE Georgia Professor of the Year

Savannah State University

Savannah, GA 31404

(912) 358-4303

Noel Mengistie

Department of Mathematics

Savannah, GA 31404

USA

Samera Mulatu

Department of Mathematics

Savannah, GA 31404

USA

References

1. Burton, D. M. (1998). Elementary number theory. New York City, New York: McGrawHill.
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
and Company.
4. Jackson, T. H. (1975). Number theory. Boston, Massachusetts: Rouledge & Kegan Paul
Ltd..
Published
2018-01-31