Question: (3+3+4=10 points) The Euler function O(n), for any positive integer n, is defined to be the number of integers k in {1,2...,n} such that as

(3+3+4=10 points) The Euler function O(n), for any positive integer n,

(3+3+4=10 points) The Euler function O(n), for any positive integer n, is defined to be the number of integers k in {1,2...,n} such that as the greatest common divisor of k and n is 1, i.e., gcd(k,n)=1. For example, since gcd(1,4)=1, gcd(2,4)=2, gcd(3,4)=1, gcd(4,4)=4, we have 0(4)=2. Please compute 0(5), 0(10) and 0(120)

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