if you add up all the factors of 6 not including 6 itself you get the number 6 this makes a perfect number how many perfect numbers can you find
Answers
Answer:
like me plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
What are the Perfect Numbers?
Definition: A Perfect Number N is defined as any positive integer where the sum of its divisors minus the number itself equals the number. The first few of these, already known to the ancient Greeks, are 6, 28, 496, and 8128.
A Perfect Number “n”, is a positive integer which is equal to the sum of its factors, excluding “n” itself.
Euclid, over two thousand years ago, showed that all even perfect numbers can be represented by,
N = 2p-1(2p -1) where p is a prime for which 2p -1 is a Mersenne prime.
That is, we have an even Perfect Number of the form N whenever the Mersenne Number 2p -1 is a prime number. Undoubtedly Mersenne was familiar with Euclid’s book in coming up with his primes.
Perfect Number Table:
The following gives a table of the first nine Mersenne Primes and Perfect Numbers
Prime, p Mersenne Prime, 2p -1 Perfect Number, 2p-1(2p -1)
2 3 6
3 7 28
5 31 496
7 127 8128
13 8191 33550336
17 131071 8589869056
19 524287 137438691328
31 2147483647 2305843008139952128
61 2305843009213693
Plz mark brainliest
Step-by-step explanation: