If, for some k > 1, 2k - 1 is prime then 2k-1(2k - 1) is a perfect number
For instance, the first perfect number, 6 = 2^(2 - 1) (2^2 - 1) = 2^1 ( 3) = 6
So far, only even perfect numbers have been found......no one knows if there are any odd ones...if there are, the above formula would not applly......[it produces only even numbers ]
Here's a fascinating look at perfect numbers........http://www-history.mcs.st-and.ac.uk/HistTopics/Perfect_numbers.html
If, for some k > 1, 2k - 1 is prime then 2k-1(2k - 1) is a perfect number
For instance, the first perfect number, 6 = 2^(2 - 1) (2^2 - 1) = 2^1 ( 3) = 6
So far, only even perfect numbers have been found......no one knows if there are any odd ones...if there are, the above formula would not applly......[it produces only even numbers ]
Here's a fascinating look at perfect numbers........http://www-history.mcs.st-and.ac.uk/HistTopics/Perfect_numbers.html