Mathematics · Number Theory - Euler's Totient Function
Consider the following statements regarding combinatorial and algebraic functions: Statement 1: Euler's Totient function φ(n) evaluates and returns the exact count of positive integers strictly less than an integer n that are relatively prime to n. Statement 2: The computation of Euler's Totient function for an integer n strictly relies on its prime factorization, applying the formula φ(n) = n(1 - 1/p1)(1 - 1/p2)..., where pi represents the distinct prime factors of n. Which of the following is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Statement 1 is false, but Statement 2 is true.
- 2Both statements are true.✓
- 3Statement 1 is true, but Statement 2 is false.
- 4Both statements are false.
Correct answer
Both statements are true.
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