Number Theory
Advanced

Even Perfect Number

Euclid-Euler form of even perfect numbers.

Formula

N=2p1(2p1)N = 2^{p-1}(2^p - 1)

Variables

pPrime with 2^p-1 prime

Example

6, 28, 496, ...

Did You Know?

A perfect number equals the sum of its proper divisors, and only about 50 are known despite millennia of searching.