Note on the Fascinating Fermat Numbers

  • Lemma, Mulatu Savannah State University
  • Noel Mengistie
  • Samera Mulatu
DOI: https://doi.org/10.53555/m.v4i1.1694
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.

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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
How to Cite
Mulatu, L., Mengistie, N., & Mulatu, S. (2018). Note on the Fascinating Fermat Numbers. IJRDO -JOURNAL OF MATHEMATICS, 4(1), 01-05. https://doi.org/10.53555/m.v4i1.1694
Issue
Vol. 4 No. 1 (2018): IJRDO-Journal of Mathematics
Section
Articles

Copyright (c) 2018 IJRDO - Journal of Mathematics (ISSN: 2455-9210)

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