Category:Theorem of Even Perfect Numbers

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This category contains pages concerning Theorem of Even Perfect Numbers:


Let $a \in \N$ be an even perfect number.

Then $a$ is in the form:

$2^{n - 1} \paren {2^n - 1}$

where $2^n - 1$ is prime.


Similarly, if $2^n - 1$ is prime, then $2^{n - 1} \paren {2^n - 1}$ is perfect.

Pages in category "Theorem of Even Perfect Numbers"

The following 3 pages are in this category, out of 3 total.