Our Brief Journey with Fermat Numbers

  • Mulatu Lemma Professor
  • Agegnehu Atena
  • Samuel Dolo
  • Wondimu Tekalign
  • Tilahun Muche

Abstract

A Fermat number is an integer of the form

abstract1.PNG

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.

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Author Biographies

Mulatu Lemma, Professor

Department of Mathematics

College of Science and Technology

Savannah State University USA

Agegnehu Atena

Department of Mathematics, College of Science and Technology. Savannah, GA 31404, USA

Samuel Dolo

Department of Mathematics, College of Science and Technology, Savannah, GA 31404, USA

Wondimu Tekalign

Department of Mathematics, College of Science and Technology, Savannah, GA 31404, USA

Tilahun Muche

Department of Mathematics, College of Science and Technology, Savannah, GA 31404, USA

References

1. Burton, D. M. (1998). Elementary number theory. New York City, New York: McGraw-Hill.
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
2021-06-13
How to Cite
Lemma, M., Atena, A., Dolo, S., Tekalign, W., & Muche, T. (2021). Our Brief Journey with Fermat Numbers. GPH - International Journal of Mathematics, 4(06), 17-22. Retrieved from https://gphjournal.org/index.php/m/article/view/431