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My dog !!!! is alive !! xD = = =The perfect number=

"In mathematics, a perfect number is a positive integer that is the sum of its proper positive divisors, that is, the sum of the positive divisors excluding the number itself. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors (including itself), or σ(N) = 2n." (wikipedia).


 * Source: Wikipedia (pon el enlace)**

This numbers have been **(were)** discovered by Euclid. Until now **(So far)**, there are only 39 perfect numbers discovered: the first four are 6,28, 496, 8128. and the formula to get them are **(is)**: where n are a prime number. by **(For)** example if n=2 then 2^(2-1)x(2^2-1)=2^1x3=6 and 6 is a perfect number because it is the sum of his divisors 6=3+2+1.

Euler add some important information to this equation and is that 2^n-1 will always throw as a result a prime number so, the perfect numbers are relative to prime numbers.

A singular observation about the perfect numbers are **(is)** that there are no any odd perfect numbers, at least not discovered, yet. Instead, there are some Hypothesis about how could be a perfect number, and his **(its)** characteristics. Of course, are **(there are people or there are skeptics)** who don't believe in the existence of any odd perfect number, they **(their)** first arguments are in the formula of perfect numbers because 2^x will be always a even number and every even number multiplied by another even number or a odd number is equal to another even number. But this don't stop some mathematicians, and they are searching some characteristics about how should be the first odd perfect number. Some of that are that it should be bigger that 10^300 and should have at least 8 prime numbers as factors.

In my personal opinion this odd perfect number exists. First, if the characteristic exists the number must exists, second, and speaking by myself, there are not any sequence of number that are completely odd or completely even by example the sequence of the prime numbers, they are almost all odd, except by the number 2, it means there are at least one even number, so, if perfect numbers are relative of prime number, then it must exist at least 1 odd perfect number. Another reason for me to believe in that are that the equation itself no have all the prime numbers on his domain.