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

70.2K

Verified Solution

Question

Advance Math

This is considering the Phi function (The Euler PhiFunction)

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

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

I'm solving for part b. From part a, it looks like there is noprime 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 isalso 2. It looks like 2 is prime so does that mean m = 3, 4, 6 areall the numbers m in which Phi of m is prime? Please let me know ifthis is correct or post a solution to what the correct answer is topart b.

Answer & Explanation Solved by verified expert
4.5 Ratings (856 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students