Sum of Factors?

Define the function f ( n ) f(n) to be the sum of smallest and the biggest prime factor of n n , where n n is not a prime number.

Example: 28 = 2 × 2 × 7 f ( 28 ) = 2 + 7 = 9 28=2\times2\times7 \\ f(28)=2+7=9

What is the smallest possible solution for n n such that f ( n ) = n f(n)=n ?


The answer is 4.

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1 solution

Giorgos K.
Apr 26, 2018

4=2x2
and... 2+2=4

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