الفهرس 
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Abstract
A positive number n is called a perfect number if the sum of all its
divisors S (n) equals 2n. Examples of perfect numbers are:
6 = 1 + 2 + 3, 28 = 1 + 2 + 4 + 7 + 14.
All known perfect numbers are even numbers, which are given by
EUCLID by the formula
M = 2n-1 (2n - 1), where (2n - 1) is prime number.
The numbers of the form M, = 2n -1 are called Mersenne numbers, and
then the determination of even perfect numbers is reduced to the determination
of Mersenne primes which is a difficult problem.
In 1975, it was proved by Me DANIEL [1] that all even perfect numbers
are of EUCLID’S type.