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