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dtan5457
 one year ago
Let f(n) be the function that assigns to each integer greater than 1 the sum of its distinct prime factors. For example, since 2 and 5 are the only prime factors of 20, f(20)=7, and since 5 is the only prime factor of 25, f(25)=5. Which of the following statements are true?
f(2n)=f(n)
f(2n)=f(n)+2
f(2n)=2f(n)
dtan5457
 one year ago
Let f(n) be the function that assigns to each integer greater than 1 the sum of its distinct prime factors. For example, since 2 and 5 are the only prime factors of 20, f(20)=7, and since 5 is the only prime factor of 25, f(25)=5. Which of the following statements are true? f(2n)=f(n) f(2n)=f(n)+2 f(2n)=2f(n)

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Empty
 one year ago
Best ResponseYou've already chosen the best response.3for the first one let n=3. for the second one let n=2. for the third one let n = 15.

danica518
 one year ago
Best ResponseYou've already chosen the best response.0i am new to os, are we allowed to give out answers

Empty
 one year ago
Best ResponseYou've already chosen the best response.3Right, so if n=2 then we have: f(4)=f(2)+2 which evaluates to 2=2+2 So true or false?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3f(ab) = f(a)+f(b) whenever gcd(a,b)=1

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3so we may say f(2n) = f(2) + f(n) whenever n is odd

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3wait a second, i think i have interpreted the question incorrectly it is about "adding the distinct prime factors", not just number of distinct primes

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.3I think it shouldn't matter either way since both are logarithm alike !
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