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Well, the definition of a perfect number is: any number that is equal to the sum of its divisors (numbers that will divide into it without leaving a remainder). Therefore you can see that: 6 = 1 + 2 + 3; 28 = 1 + 2 + 4 + 7 + 14; and so on. Simple, right? How about the fifth perfect number? Can you come up with it? Don't even try … just continue reading.
It took mathematicians about 1,500 years (1536, Hudalrichus Regius) to discover the fifth perfect number: 33,550,336. The greatest contributions to future discoveries of perfect numbers were offered by French mathematicians Fermat and Mersenne, during early 1600s, when they devised a useful formula for finding perfect numbers. Many mathematicians have contributed since, and today we know of 39 perfect numbers. As you may guess, discoveries of new perfect numbers have become more frequent with the help of computers. The largest one has more than 4 millions digits, and was discovered in 2001. It turns out that all the perfect numbers discovered so far are even. Will we ever discover an odd perfect number? Will we discover an underlining mathematical law that prohibits this? Live and learn!