The Practical Significance of Exponentiation and the Divisibility Properties of Numbers

Authors

Keywords:

Exponentiation, Number divisibility, Algorithms, Cryptography, Mathematical modeling, Computational efficiency

Abstract

This research examines the theoretical foundations of exponentiation and the divisibility properties of numbers, as well as their practical significance. Exponentiation is one of the fundamental operations in mathematics and is widely used in fields such as cryptography, engineering, and information technology. Additionally, the divisibility properties of numbers play a crucial role in improving the efficiency of algorithms and computations. This study analyzes how these mathematical concepts are applied in everyday life, scientific research, and computational processes, highlighting their importance.

References

Knuth, D. E. (1997). The Art of Computer Programming, Volume 2: Seminumerical Algorithms (3rd ed.). Addison-Wesley.

Hardy, G. H., & Wright, E. M. (2008). An Introduction to the Theory of Numbers (6th ed.). Oxford University Press.

Rosen, K. H. (2018). Elementary Number Theory and Its Applications (7th ed.). Pearson.

Stallings, W. (2017). Cryptography and Network Security: Principles and Practice (7th ed.). Pearson.

Yan, S. Y. (2002). Number Theory for Computing (2nd ed.). Springer.

Cohen, H. (2008). Number Theory: Volume I: Tools and Diophantine Equations. Springer.

Koblitz, N. (1994). A Course in Number Theory and Cryptography (2nd ed.). Springer.

Biggs, N. L. (2002). Discrete Mathematics (2nd ed.). Oxford University Press.

Published

2025-07-03

How to Cite

Oralbek, A., & Kazez , E. (2025). The Practical Significance of Exponentiation and the Divisibility Properties of Numbers. Eurasian Science Review An International Peer-Reviewed Multidisciplinary Journal, 3(2). Retrieved from https://eurasia-science.org/index.php/pub/article/view/411

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