Just start at 2 and divide 255 which is (2^8)-1.
Not divisible by 2.
255/3 = 85
We have one prime number, 3.
255/5 = 51
We have two prime numbers - 3,5.
255/7 = 36.43
Not divisible by 7
255/9 = 28.33
Not divisible by 9
255/11 = 23.18
Not divisible by 11
255/17 = 15
We have three prime numbers - 3,5,17.
So the sum of them are:
3+5+17 = 25
or, since a^2-b^2 = (a-b)(a+b)
(2^8-1) = (16-1)(16+1) = (4-1)(4+1)(16+1) = 3*5*17
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