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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)

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  1. Empty
    • one year ago
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    for the first one let n=3. for the second one let n=2. for the third one let n = 15.

  2. danica518
    • one year ago
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    f(2n)=f(n)+2

  3. danica518
    • one year ago
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    i am new to os, are we allowed to give out answers

  4. Empty
    • one year ago
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    Right, so if n=2 then we have: f(4)=f(2)+2 which evaluates to 2=2+2 So true or false?

  5. ganeshie8
    • one year ago
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    f(ab) = f(a)+f(b) whenever gcd(a,b)=1

  6. ganeshie8
    • one year ago
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    so we may say f(2n) = f(2) + f(n) whenever n is odd

  7. ganeshie8
    • one year ago
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    wait a second, i think i have interpreted the question incorrectly it is about "adding the distinct prime factors", not just number of distinct primes

  8. ganeshie8
    • one year ago
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    I think it shouldn't matter either way since both are logarithm alike !

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