E-ISSN 3115-5057 | ISSN 3115-5049
 
2025, Vol: 2, Issue: 2
2 / 2Current Issue Online FirstArchiveAims and ScopeAbstracting & Indexing

Original Research
Online Published: 02 Jul 2025
 


Euler's Totient Function and some of it's Applications in Cryptography

Ifeoluwa Olapeju Fagbongbe, Sunday Adesina Adebisi.


Abstract
The Euler totient function, denoted as (?),is an important concept in number theory. It counts the positive integers up to ? that are co-prime with ?. This work delves into the definition, properties, and computational methods of (?), emphasizing its significance in cryptography. We examine its theoretical foundations and showcase its crucial role in the RSA encryption algorithm, which is vital for secure data transmission. By exploring the function's application in cryptographic protocols, we underscore its importance in ensuring confidentiality and security in digital communications. This study highlights the impact of number theory on modern cryptography.

Key words: EULER'S totient function, positive integers, prime, cryptography, residue


 
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Pubmed Style

Fagbongbe IO, Adebisi SA. Euler's Totient Function and some of it's Applications in Cryptography. CUJOSTECH. 2025; 2(1): 35-41. doi:10.5455/CUJOSTECH.250401

Web Style

Fagbongbe IO, Adebisi SA. Euler's Totient Function and some of it's Applications in Cryptography. https://www.cujostech.com.ng/?mno=220489 [Access: June 22, 2026]. doi:10.5455/CUJOSTECH.250401

AMA (American Medical Association) Style

Fagbongbe IO, Adebisi SA. Euler's Totient Function and some of it's Applications in Cryptography. CUJOSTECH. 2025; 2(1): 35-41. doi:10.5455/CUJOSTECH.250401


Vancouver/ICMJE Style

Fagbongbe IO, Adebisi SA. Euler's Totient Function and some of it's Applications in Cryptography. CUJOSTECH. (2025), [cited June 22, 2026]; 2(1): 35-41. doi:10.5455/CUJOSTECH.250401


Harvard Style

Fagbongbe, I. O. & Adebisi, . S. A. (2025) Euler's Totient Function and some of it's Applications in Cryptography. CUJOSTECH, 2 (1), 35-41. doi:10.5455/CUJOSTECH.250401


Turabian Style

Fagbongbe, Ifeoluwa Olapeju, and Sunday Adesina Adebisi. 2025. Euler's Totient Function and some of it's Applications in Cryptography. Confluence University Journal of Science and Technology, 2 (1), 35-41. doi:10.5455/CUJOSTECH.250401


Chicago Style

Fagbongbe, Ifeoluwa Olapeju, and Sunday Adesina Adebisi. "Euler's Totient Function and some of it's Applications in Cryptography." Confluence University Journal of Science and Technology 2 (2025), 35-41. doi:10.5455/CUJOSTECH.250401


MLA (The Modern Language Association) Style

Fagbongbe, Ifeoluwa Olapeju, and Sunday Adesina Adebisi. "Euler's Totient Function and some of it's Applications in Cryptography." Confluence University Journal of Science and Technology 2.1 (2025), 35-41. Print. doi:10.5455/CUJOSTECH.250401


APA (American Psychological Association) Style

Fagbongbe, I. O. & Adebisi, . S. A. (2025) Euler's Totient Function and some of it's Applications in Cryptography. Confluence University Journal of Science and Technology, 2 (1), 35-41. doi:10.5455/CUJOSTECH.250401


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