Mathematics · Number Theory
Let n ∈ &mathbb{N};, and Euler's φ-function φ(n) denote the number of positive integers less than or equal to n that are coprimes to n. Which of the following is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If p is prime, then φ(p) = p - 1✓
- 2If p is prime, then φ(p) = p + 1
- 3If p is prime, then φ(p) = p
- 4If p is an odd prime, then φ(2p) = p + 1
Correct answer
If p is prime, then φ(p) = p - 1
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