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Can somebody tell me the formula to a perfect number?

Guest Jun 14, 2015

Best Answer 

 #1
avatar+78719 
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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

 

 

 

CPhill  Jun 15, 2015
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1+0 Answers

 #1
avatar+78719 
+8
Best Answer

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

 

 

 

CPhill  Jun 15, 2015

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