Let φdenote the Euler phi-function. Answer a and b (a) If n = 2a3b, for natural numbers a, b, show φ(n) | n (φ(n) divides n) (b) If n = 2a5b,for natural numbers a,b, show φ(n) -|-?n(φ(n) does not divide n)
Let φdenote the Euler phi-function. Answer a and b (a) If n = 2a3b, for natural numbers a, b, show φ(n) | n (φ(n) divides n) (b) If n = 2a5b,for natural numbers a,b, show φ(n) -|-?n(φ(n) does not divide n)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 14E
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2 .Let φdenote the Euler phi-function. Answer a and b
(a) If n = 2a3b, for natural numbers a, b, show φ(n) | n (φ(n) divides n)
(b) If n = 2a5b,for natural numbers a,b, show φ(n) -|-?n(φ(n) does not divide n)
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