What are the next three numbers in this sequence? 6, 28, 496, 8128, ... ? Please explain how you determined these three numbers.

The next four numbers in the sequence are 33550336,
8589869056 and 137438691328 and 2305843008139952128.

The series inclusive of the problem text are constituted by perfect numbers.

Interested readers may also wish to refer to the following locations

http://mathworld.wolfram.com/PerfectNumber.html

http://en.wikipedia.org/wiki/Perfect_number

http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Perfect_numbers.html

http://home.pacific.net.sg/~novelway/MEW2/lesson1.html

 

 

Posted by K Sengupta on 2007-04-07 11:19:45