Euler's Totient Function, denoted as $$ ext{φ}(n)$$, counts the number of positive integers up to a given integer $$n$$ that are relatively prime to $$n$$. This function is particularly important in number theory as it relates to the structure of multiplicative groups formed by the integers modulo $$n$$ and plays a key role in understanding cyclic groups, especially in the context of group orders and element orders.
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