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So far 47. Euler proved that every even perfect number will be of the form 2p−1(2p−1), where p is prime and 2p−1 is also prime. If 2p−1 is prime it is known as a Mersenne prime. Since 47 Mersenne primes are known, 47 even perfect numbers are known. As for odd perfect numbers, none are known, nor has it been proven yet that there aren't any.

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Q: How many perfect numbers are known?
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Is 31 a perfect number?

No. The only perfect numbers less than 100 are 6 and 28. All known perfect numbers are even - it is unknown whether there are odd perfect numbers.


Are there more mersenne primes known as there are perfect numbers?

There is a one-to-one relationship between even perfect numbers and Mersenne primes. It is unknown whether there are any odd perfect numbers.


Is 495 a perfect number?

No, it isn't. In fact, it is not known whether are odd perfect numbers exist. The first perfect numbers are 6, 28, 496, and 8128.


Is there any perfect numbers that are in between 1 and 30?

No, there are no known perfect numbers between 1 and 30. The only perfect numbers that have been discovered are 6, 28, 496, and 8128.


What are all perfect numbers?

There are infinitely many perfect numbers so they cannot all be listed.


What are perfact numbers?

If the sum of all a number's factors (factors that are smaller than the number itself) is equal to the number itself, the number is said to be "perfect". For example, the factors of 6 (excluding 6 itself) are 1, 2, and 3; and the sum of these numbers is exactly 6. The smallest perfect numbers are 6, 28, 496, 8128. It isn't known whether the set of perfect numbers is finite or infinite. Also, it isn't known whether there are any odd perfect number; all known perfect numbers are even.


Why is 8589869056 a perfect number?

Yes, as has been known since 1588 For a list of all known perfect numbers see the related link.


Is the number 42 a perfect number?

No, it is not a perfect number. The first four known perfect numbers are 6, 28, 496 and 8,128.


How many perfect numbers are there?

There is no way to determine the amount of perfect numbers there are. The number could be infinite, but this has yet to be proven. It has also yet to be proven if there are any odd perfect numbers.


Is 50 near a perfect number?

No, it is not near a perfect number. The first four known perfect numbers are 6, 28, 496 and 8,128.


Is 50 a near-perfect number?

No, it is not near a perfect number. The first four known perfect numbers are 6, 28, 496 and 8,128.


How many perfect numbers are there under 100?

There are two perfect numbers, 6 and 28, that are less than 100.