Applications of Fermat numbers: relation to constructible polygons But for perfect numbers the best I could find is: The earth was created in 6 days by God because 6 is perfect.

Oct 16, 2018 · A perfect number is a number than can be expressed as a sum of its factors. For example, 28 = 1 + 2 + 4 + 7 + 14 Why is this property important? What is so perfect about perfect …

Dec 24, 2017 · Historically, perfect numbers were hugely important for almost religious reasons e.g. by the pythagoreans. As for the duplicate answer and your complaint that those answers only mention …

May 3, 2023 · As far as I can judge, when a number is perfect, then the sum of its divisors is the double of that number, so it can't have any other new prime factors (except for $2$, obviously).

Jan 28, 2023 · Surely, if the list of six ($6$) even $3$ -perfect numbers as given above is complete, and if there are no odd perfect numbers, then there are no other $3$ -perfect numbers.

The well known formula for perfect numbers is $$ P_n=2^{n-1}(2^{n}-1). $$ This formula is obtained by observing some patterns on the sum of the perfect number's divisors. Take for example $496$:...

The question Are there infinitely many perfect numbers? is a classic old unsolved problem. However, we keep finding perfect numbers (via Mersenne primes) and produce a lot of knowledge on perfect n...

A well known theorem by Euler states that every even perfect number is of the form $2^ {p-1} (2^p-1)$ where $2^p-1$ is prime (this is what is called a Mersenne prime).

Every perfect number contains a Mersenne prime as one of its divisors. After reading this, and how rare perfect numbers are, I wanted to try and devise a method of generating perfect numbers from …

May 19, 2019 · 0 A square number can also be called a perfect square. So yes, the number $36$ is a perfect square, because it is the product of $6$ and itself.