In [6] the
author proved that no odd perfect number exist in the interval [1, 10300] ⊂ N.
We can also define perfect numbers as σ(N) = 2N, (N ∈ N) where σ is a
divisor function. If p is a prime number and k ≥ 1 than its only divisors are 1
and p. So, σ(p) = p + 1 and