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