A tool for computing Euler’s totient function, determines the count of positive integers less than or equal to a given integer that are relatively prime (coprime) to it. For example, the totient of 10 is 4, as 1, 3, 7, and 9 are coprime to 10. This function is typically denoted using the Greek letter phi ().
This function plays a vital role in number theory and cryptography. It features prominently in RSA encryption, a cornerstone of modern online security. Leonhard Euler’s introduction of the function in the 18th century laid groundwork for many subsequent mathematical advancements. Understanding its properties allows for optimized calculations in fields like modular arithmetic.