This is considering the Phi function (The Euler Phi Function) (a) Explain why φ(m) is always...

This is considering the Phi function (The Euler Phi Function)

(a) Explain why φ(m) is always even when m ≥3.

(b) φ(m) is rarely a prime number. Find all numbers m so that φ(m) is prime.

I'm solving for part b. From part a, it looks like there is no prime number for phi of m when it's greater than or equal to 3. Now, I notice that Phi of 4 is 2, Phi of 3 is 2, and Phi of 6 is also 2. It looks like 2 is prime so does that mean m = 3, 4, 6 are all the numbers m in which Phi of m is prime? Please let me know if this is correct or post a solution to what the correct answer is to part b.

Expert Solution

Colby Messinger answered 2 years ago

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