Natural numbers are infinite and are either prime numbers divisible by 1 and itself or composite numbers divisible by 1 and more numbers. For every number, there is a subsequent number, which is either a prime number or a composite number. Among the infinite composite numbers are the even and odd perfect numbers, which are generated by prime numbers, which are the sum of proportional numbers. The even perfect numbers are generated by the only even prime. They are the Mersenne primes, which are the result of (2^n_prime-1)*2^(n_prime-1) and, in the binary system, are the sum of the values of consecutive 1 signs. the infinite odd perfect numbers are generated by prime numbers that are the sum of numbers in proportion to one of the infinite odd prime numbers and are the result of an n_prime≥3*n_odd prime^(n-1) which is the prime number that defines the proportion of a numerical system: the 3rd, the 5th, the 7th or a system of one of the infinite odd prime numbers; the prime numbers that generate the odd perfect numbers are the sum of the value of the consecutive 1 signs of the numerical system of prime numbers ≥3.