Show that $\displaystyle 2^{p-1}(2^p - 1)$ is a perfect number when $\displaystyle 2^p -1$ is prime. A perfect number is when the sum of its divisors other than itself add up to the number.

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- Feb 15th 2009, 06:27 PMVENIPerfect Number
Show that $\displaystyle 2^{p-1}(2^p - 1)$ is a perfect number when $\displaystyle 2^p -1$ is prime. A perfect number is when the sum of its divisors other than itself add up to the number.

- Feb 15th 2009, 07:08 PMo_O
Done here: Perfect Numbers