Carmichael's totient function conjecture is a mathematical conjecture related to the properties of the Euler's totient function, denoted as \(\varphi(n)\). The conjecture is named after the mathematician Robert Carmichael. The conjecture states that for any integer \( n \) greater than \( 1 \), the inequality \[ \varphi(n) < n \] holds true, which is indeed true for all integers \( n > 1 \).
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