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For a positive integer n, \phi(n) denotes the number of positive integers less than or equal to $n$ that are relatively prime to $n$. What is $\phi(2835)$?

 Feb 2, 2025
 #1
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Euler's Totient Method

 

Prime factors of 2835 =  3 , 5, 7

 

No. of Positive integers relatively prime to 2835  =

 

(2835) / (3 * 5 * 7) * ( 3 -1) (5-1) (7 -1)  = 

 

27 (2) (4) (6)  =

 

1296

 

cool cool cool

 Feb 2, 2025

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