2 Lecture Saw Euler S Totient Function N Defined Number Positive Integers Less Equal N Rel Q37296305

2. (a) In lecture, we saw Euler’s Totient Function Φ(n), whichis defined as the number of positive integers less than or equal ton that are relatively prime to n. Suppose I want to compute Φ(84),as per lecture. I know that 84 = 14 × 6, so I compute Φ(14) andmultiply it by Φ(6). Do I get the right result? Briefly, why doesthis work or not work? Your answer should be brief, but not assimple as “because the numbers do/don’t multiply to form that.” (b)Compute Φ(84). Show your work.


Answer


phi(84) = 24
phi(6) = 2

OR
OR

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