Perfect Number Table

The table added below contains the starting 9 Mersenne Primes and their respected Perfect Numbers.

Prime, (p)	Mersenne Prime, (2^p -1)	Perfect Number, {2^p-1(2^p -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	2305843009213693951	2658455991569831744654692615953842176

History of Perfect Numbers

The history of perfect number is very old it goes back to Egytian civilization as they are one who first thought about Perfect Numbers. The major development in the study of perfect numbers is credited to Greeks, who eagerly read about Perfect numbers.

Perfect Numbers

A perfect number is a positive integer equal to the total of its positive divisors, except the number itself in number theory. For example, 6 is a perfect number since 1 + 2 + 3 equals 6.
Some of the first perfect numbers are 6, 28, 496, and 8128. Perfect numbers are also known as “Complete Numbers” and “Proper Numbers“.

This article explores perfect numbers, covering their definition, examples, Euclid’s Perfect Number theorem, and methods to find them. We’ll also address FAQs and solve examples.

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